| Label |
Name |
Order |
Exponent |
Nilp. class |
Der. length |
Comp. length |
Rank |
$\card{\mathrm{conj}(G)}$ |
Subgroups |
Subgroup classes |
Normal subgroups |
Center |
Central quotient |
Commutator |
Abelianization |
$\card{\mathrm{Aut}(G)}$ |
$\card{\mathrm{Out}(G)}$ |
Tr. deg |
Perm. deg |
$\C$-irrep deg |
$\R$-irrep deg |
$\Q$-irrep deg |
$\C$-rep deg |
$\R$-rep deg |
$\Q$-rep deg |
Type - length |
| 1734.8 |
$C_{17}:D_{51}$ |
$2 \cdot 3 \cdot 17^{2}$ |
$2 \cdot 3 \cdot 17$ |
$-1$ |
$2$ |
$4$ |
$3$ |
$435$ |
$2424$ |
$80$ |
$41$ |
$C_1$ |
$C_{17}:D_{51}$ |
$C_{17}\times C_{51}$ |
$C_{2}$ |
$2^{10} \cdot 3^{3} \cdot 17^{3}$ |
$2^{9} \cdot 3^{2} \cdot 17$ |
$867$ |
$37$ |
$-$ |
$-$ |
$-$ |
$4$ |
$4$ |
$34$ |
Solvable - 2 |
| 1734.10 |
$S_3\times C_{17}^2$ |
$2 \cdot 3 \cdot 17^{2}$ |
$2 \cdot 3 \cdot 17$ |
$-1$ |
$2$ |
$4$ |
$2$ |
$867$ |
$120$ |
$80$ |
$60$ |
$C_{17}^2$ |
$S_3$ |
$C_3$ |
$C_{17} \times C_{34}$ |
$2^{10} \cdot 3^{3} \cdot 17$ |
$2^{9} \cdot 3^{2} \cdot 17$ |
$867$ |
$37$ |
$-$ |
? |
$-$ |
? |
? |
? |
Solvable - 2 |
| 1734.11 |
$C_{51}:D_{17}$ |
$2 \cdot 3 \cdot 17^{2}$ |
$2 \cdot 3 \cdot 17$ |
$-1$ |
$2$ |
$4$ |
$3$ |
$438$ |
$1232$ |
$80$ |
$42$ |
$C_3$ |
$C_{17}:D_{17}$ |
$C_{17}^2$ |
$C_{6}$ |
$2^{10} \cdot 3^{2} \cdot 17^{3}$ |
$2^{9} \cdot 3^{2} \cdot 17$ |
$867$ |
$37$ |
$-$ |
$-$ |
$-$ |
$4$ |
$6$ |
$34$ |
Solvable - 2 |
| 1764.125 |
$C_{21}^2:C_4$ |
$2^{2} \cdot 3^{2} \cdot 7^{2}$ |
$2^{2} \cdot 3 \cdot 7$ |
$-1$ |
$2$ |
$6$ |
$3$ |
$468$ |
$756$ |
$180$ |
$126$ |
$C_3\times C_6$ |
$C_7:D_7$ |
$C_7^2$ |
$C_{3} \times C_{12}$ |
$2^{10} \cdot 3^{3} \cdot 7^{3}$ |
$2^{9} \cdot 3^{3} \cdot 7$ |
$1764$ |
$24$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 2 |
| 1764.129 |
$C_{21}^2:C_4$ |
$2^{2} \cdot 3^{2} \cdot 7^{2}$ |
$2^{2} \cdot 3 \cdot 7$ |
$-1$ |
$2$ |
$6$ |
$3$ |
$588$ |
$340$ |
$180$ |
$130$ |
$C_7\times C_{14}$ |
$C_3:S_3$ |
$C_3^2$ |
$C_{7} \times C_{28}$ |
$2^{10} \cdot 3^{5} \cdot 7$ |
$2^{9} \cdot 3^{3} \cdot 7$ |
$1764$ |
$24$ |
$-$ |
? |
$-$ |
? |
? |
? |
Solvable - 2 |
| 1764.131 |
$C_{21}^2:C_4$ |
$2^{2} \cdot 3^{2} \cdot 7^{2}$ |
$2^{2} \cdot 3 \cdot 7$ |
$-1$ |
$2$ |
$6$ |
$3$ |
$444$ |
$2452$ |
$180$ |
$121$ |
$C_2$ |
$C_{21}:D_{21}$ |
$C_{21}^2$ |
$C_{4}$ |
$2^{10} \cdot 3^{5} \cdot 7^{3}$ |
$2^{9} \cdot 3^{3} \cdot 7$ |
$1764$ |
$24$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 2 |
| 1764.221 |
$C_7^2:C_6^2$ |
$2^{2} \cdot 3^{2} \cdot 7^{2}$ |
$2 \cdot 3 \cdot 7$ |
$-1$ |
$2$ |
$6$ |
$3$ |
$468$ |
$2028$ |
$300$ |
$138$ |
$C_3\times C_6$ |
$C_7:D_7$ |
$C_7^2$ |
$C_{6}^{2}$ |
$2^{10} \cdot 3^{3} \cdot 7^{3}$ |
$2^{9} \cdot 3^{3} \cdot 7$ |
$882$ |
$22$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 2 |
| 1764.225 |
$C_3^2:C_{14}^2$ |
$2^{2} \cdot 3^{2} \cdot 7^{2}$ |
$2 \cdot 3 \cdot 7$ |
$-1$ |
$2$ |
$6$ |
$3$ |
$588$ |
$780$ |
$300$ |
$150$ |
$C_7\times C_{14}$ |
$C_3:S_3$ |
$C_3^2$ |
$C_{14}^{2}$ |
$2^{10} \cdot 3^{5} \cdot 7$ |
$2^{9} \cdot 3^{3} \cdot 7$ |
$882$ |
$22$ |
$-$ |
? |
$-$ |
? |
? |
? |
Solvable - 2 |
| 1764.227 |
$C_{21}:D_{42}$ |
$2^{2} \cdot 3^{2} \cdot 7^{2}$ |
$2 \cdot 3 \cdot 7$ |
$-1$ |
$2$ |
$6$ |
$3$ |
$444$ |
$7116$ |
$300$ |
$123$ |
$C_2$ |
$C_{21}:D_{21}$ |
$C_{21}^2$ |
$C_{2}^{2}$ |
$2^{10} \cdot 3^{5} \cdot 7^{3}$ |
$2^{9} \cdot 3^{3} \cdot 7$ |
$882$ |
$22$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 2 |
| 2166.20 |
$C_{57}:D_{19}$ |
$2 \cdot 3 \cdot 19^{2}$ |
$2 \cdot 3 \cdot 19$ |
$-1$ |
$2$ |
$4$ |
$3$ |
$546$ |
$1528$ |
$88$ |
$46$ |
$C_3$ |
$C_{19}:D_{19}$ |
$C_{19}^2$ |
$C_{6}$ |
$2^{5} \cdot 3^{4} \cdot 5 \cdot 19^{3}$ |
$2^{4} \cdot 3^{4} \cdot 5 \cdot 19$ |
$1083$ |
$41$ |
$-$ |
? |
$-$ |
? |
? |
? |
Solvable - 2 |
| 2366.10 |
$C_{91}:D_{13}$ |
$2 \cdot 7 \cdot 13^{2}$ |
$2 \cdot 7 \cdot 13$ |
$-1$ |
$2$ |
$4$ |
$3$ |
$602$ |
$736$ |
$64$ |
$34$ |
$C_7$ |
$C_{13}:D_{13}$ |
$C_{13}^2$ |
$C_{14}$ |
$2^{6} \cdot 3^{3} \cdot 7 \cdot 13^{3}$ |
$2^{5} \cdot 3^{3} \cdot 7 \cdot 13$ |
$1183$ |
$33$ |
$-$ |
? |
$-$ |
? |
? |
? |
Solvable - 2 |
| 3468.k |
$C_{51}:D_{34}$ |
$2^{2} \cdot 3 \cdot 17^{2}$ |
$2 \cdot 3 \cdot 17$ |
$-1$ |
$2$ |
$5$ |
$3$ |
$876$ |
$3656$ |
$200$ |
$86$ |
$C_6$ |
$C_{17}:D_{17}$ |
$C_{17}^2$ |
$C_{2} \times C_{6}$ |
$2^{11} \cdot 3^{2} \cdot 17^{3}$ |
$2^{10} \cdot 3^{2} \cdot 17$ |
$1734$ |
$39$ |
$-$ |
? |
$-$ |
? |
? |
? |
Solvable - 2 |
| 3468.l |
$C_{17}^2:C_{12}$ |
$2^{2} \cdot 3 \cdot 17^{2}$ |
$2^{2} \cdot 3 \cdot 17$ |
$-1$ |
$2$ |
$5$ |
$3$ |
$876$ |
$1272$ |
$120$ |
$82$ |
$C_6$ |
$C_{17}:D_{17}$ |
$C_{17}^2$ |
$C_{12}$ |
$2^{11} \cdot 3^{2} \cdot 17^{3}$ |
$2^{10} \cdot 3^{2} \cdot 17$ |
$3468$ |
$41$ |
$-$ |
? |
$-$ |
? |
? |
? |
Solvable - 2 |
| 3610.10 |
$C_{95}:D_{19}$ |
$2 \cdot 5 \cdot 19^{2}$ |
$2 \cdot 5 \cdot 19$ |
$-1$ |
$2$ |
$4$ |
$3$ |
$910$ |
$1528$ |
$88$ |
$46$ |
$C_5$ |
$C_{19}:D_{19}$ |
$C_{19}^2$ |
$C_{10}$ |
$2^{6} \cdot 3^{4} \cdot 5 \cdot 19^{3}$ |
$2^{5} \cdot 3^{4} \cdot 5 \cdot 19$ |
$1805$ |
$43$ |
$-$ |
? |
$-$ |
? |
? |
? |
Solvable - 2 |
| 4332.i |
$C_{19}^2:C_{12}$ |
$2^{2} \cdot 3 \cdot 19^{2}$ |
$2^{2} \cdot 3 \cdot 19$ |
$-1$ |
$2$ |
$5$ |
$3$ |
$492$ |
$2292$ |
$132$ |
$69$ |
$C_4$ |
$C_{19}^2:C_3$ |
$C_{19}^2$ |
$C_{12}$ |
$2^{5} \cdot 3^{4} \cdot 5 \cdot 19^{3}$ |
$2^{5} \cdot 3^{3} \cdot 5 \cdot 19$ |
$1444$ |
$42$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 2 |
| 4332.l |
$C_{19}^2:C_{12}$ |
$2^{2} \cdot 3 \cdot 19^{2}$ |
$2^{2} \cdot 3 \cdot 19$ |
$-1$ |
$2$ |
$5$ |
$3$ |
$1092$ |
$1572$ |
$132$ |
$90$ |
$C_6$ |
$C_{19}:D_{19}$ |
$C_{19}^2$ |
$C_{12}$ |
$2^{6} \cdot 3^{4} \cdot 5 \cdot 19^{3}$ |
$2^{5} \cdot 3^{4} \cdot 5 \cdot 19$ |
$4332$ |
$45$ |
$-$ |
? |
$-$ |
? |
? |
? |
Solvable - 2 |
| 4332.m |
$C_{57}:D_{38}$ |
$2^{2} \cdot 3 \cdot 19^{2}$ |
$2 \cdot 3 \cdot 19$ |
$-1$ |
$2$ |
$5$ |
$3$ |
$1092$ |
$4540$ |
$220$ |
$94$ |
$C_6$ |
$C_{19}:D_{19}$ |
$C_{19}^2$ |
$C_{2} \times C_{6}$ |
$2^{6} \cdot 3^{4} \cdot 5 \cdot 19^{3}$ |
$2^{5} \cdot 3^{4} \cdot 5 \cdot 19$ |
$2166$ |
$43$ |
$-$ |
? |
$-$ |
? |
? |
? |
Solvable - 2 |
| 4732.f |
$C_{182}:D_{13}$ |
$2^{2} \cdot 7 \cdot 13^{2}$ |
$2 \cdot 7 \cdot 13$ |
$-1$ |
$2$ |
$5$ |
$3$ |
$1204$ |
$2176$ |
$160$ |
$70$ |
$C_{14}$ |
$C_{13}:D_{13}$ |
$C_{13}^2$ |
$C_{2} \times C_{14}$ |
$2^{7} \cdot 3^{3} \cdot 7 \cdot 13^{3}$ |
$2^{6} \cdot 3^{3} \cdot 7 \cdot 13$ |
$2366$ |
$35$ |
$-$ |
? |
$-$ |
? |
? |
? |
Solvable - 2 |
| 4732.h |
$C_{13}^2:C_{28}$ |
$2^{2} \cdot 7 \cdot 13^{2}$ |
$2^{2} \cdot 7 \cdot 13$ |
$-1$ |
$2$ |
$5$ |
$3$ |
$1204$ |
$768$ |
$96$ |
$66$ |
$C_{14}$ |
$C_{13}:D_{13}$ |
$C_{13}^2$ |
$C_{28}$ |
$2^{7} \cdot 3^{3} \cdot 7 \cdot 13^{3}$ |
$2^{6} \cdot 3^{3} \cdot 7 \cdot 13$ |
$4732$ |
$37$ |
$-$ |
? |
$-$ |
? |
? |
? |
Solvable - 2 |
| 5202.h |
$C_{153}:D_{17}$ |
$2 \cdot 3^{2} \cdot 17^{2}$ |
$2 \cdot 3^{2} \cdot 17$ |
$-1$ |
$2$ |
$5$ |
$3$ |
$1314$ |
$1848$ |
$120$ |
$63$ |
$C_9$ |
$C_{17}:D_{17}$ |
$C_{17}^2$ |
$C_{18}$ |
$2^{10} \cdot 3^{3} \cdot 17^{3}$ |
$2^{9} \cdot 3^{3} \cdot 17$ |
$2601$ |
$43$ |
$-$ |
? |
$-$ |
? |
? |
? |
Solvable - 2 |
| 5415.7 |
$C_{19}^2:C_{15}$ |
$3 \cdot 5 \cdot 19^{2}$ |
$3 \cdot 5 \cdot 19$ |
$-1$ |
$2$ |
$4$ |
$3$ |
$615$ |
$1528$ |
$88$ |
$46$ |
$C_5$ |
$C_{19}^2:C_3$ |
$C_{19}^2$ |
$C_{15}$ |
$2^{6} \cdot 3^{4} \cdot 5 \cdot 19^{3}$ |
$2^{6} \cdot 3^{3} \cdot 5 \cdot 19$ |
$1805$ |
$43$ |
$-$ |
? |
$-$ |
? |
? |
? |
Solvable - 2 |
| 6084.f |
$C_3\times C_{13}^2:C_{12}$ |
$2^{2} \cdot 3^{2} \cdot 13^{2}$ |
$2^{2} \cdot 3 \cdot 13$ |
$-1$ |
$2$ |
$6$ |
$3$ |
$708$ |
$4320$ |
$288$ |
$108$ |
$C_{12}$ |
$C_{13}^2:C_3$ |
$C_{13}^2$ |
$C_{3} \times C_{12}$ |
$2^{7} \cdot 3^{3} \cdot 7 \cdot 13^{3}$ |
$2^{7} \cdot 3^{2} \cdot 7 \cdot 13$ |
$2028$ |
$33$ |
$-$ |
? |
$-$ |
? |
? |
? |
Solvable - 2 |
| 6498.g |
$C_3^6.C_2^3$ |
$2 \cdot 3^{2} \cdot 19^{2}$ |
$2 \cdot 3 \cdot 19$ |
$-1$ |
$2$ |
$5$ |
$3$ |
$198$ |
$7464$ |
$264$ |
$54$ |
$C_3$ |
$C_{19}^2:C_6$ |
$C_{19}^2$ |
$C_{3} \times C_{6}$ |
$2^{5} \cdot 3^{5} \cdot 5 \cdot 19^{3}$ |
$2^{4} \cdot 3^{4} \cdot 5 \cdot 19$ |
$1083$ |
$41$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 2 |
| 6498.i |
$C_{19}^2:C_{18}$ |
$2 \cdot 3^{2} \cdot 19^{2}$ |
$2 \cdot 3^{2} \cdot 19$ |
$-1$ |
$2$ |
$5$ |
$3$ |
$738$ |
$1572$ |
$132$ |
$90$ |
$C_6$ |
$C_{19}^2:C_3$ |
$C_{19}^2$ |
$C_{18}$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3}$ |
$2^{4} \cdot 3^{4} \cdot 5 \cdot 19$ |
$6498$ |
$49$ |
$-$ |
? |
$-$ |
? |
? |
? |
Solvable - 2 |
| 6498.k |
$C_{171}:D_{19}$ |
$2 \cdot 3^{2} \cdot 19^{2}$ |
$2 \cdot 3^{2} \cdot 19$ |
$-1$ |
$2$ |
$5$ |
$3$ |
$1638$ |
$2292$ |
$132$ |
$69$ |
$C_9$ |
$C_{19}:D_{19}$ |
$C_{19}^2$ |
$C_{18}$ |
$2^{5} \cdot 3^{5} \cdot 5 \cdot 19^{3}$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19$ |
$3249$ |
$47$ |
$-$ |
? |
$-$ |
? |
? |
? |
Solvable - 2 |
| 6498.l |
$C_3\times C_{19}^2:C_6$ |
$2 \cdot 3^{2} \cdot 19^{2}$ |
$2 \cdot 3 \cdot 19$ |
$-1$ |
$2$ |
$5$ |
$3$ |
$738$ |
$6024$ |
$264$ |
$96$ |
$C_6$ |
$C_{19}^2:C_3$ |
$C_{19}^2$ |
$C_{3} \times C_{6}$ |
$2^{5} \cdot 3^{5} \cdot 5 \cdot 19^{3}$ |
$2^{5} \cdot 3^{4} \cdot 5 \cdot 19$ |
$2166$ |
$43$ |
$-$ |
? |
$-$ |
? |
? |
? |
Solvable - 2 |
| 7098.h |
$C_{273}:D_{13}$ |
$2 \cdot 3 \cdot 7 \cdot 13^{2}$ |
$2 \cdot 3 \cdot 7 \cdot 13$ |
$-1$ |
$2$ |
$5$ |
$3$ |
$1806$ |
$1472$ |
$128$ |
$68$ |
$C_{21}$ |
$C_{13}:D_{13}$ |
$C_{13}^2$ |
$C_{42}$ |
$2^{7} \cdot 3^{3} \cdot 7 \cdot 13^{3}$ |
$2^{6} \cdot 3^{3} \cdot 7 \cdot 13$ |
$3549$ |
$36$ |
$-$ |
? |
$-$ |
? |
? |
? |
Solvable - 2 |
| 7220.j |
$C_{19}^2:C_{20}$ |
$2^{2} \cdot 5 \cdot 19^{2}$ |
$2^{2} \cdot 5 \cdot 19$ |
$-1$ |
$2$ |
$5$ |
$3$ |
$1820$ |
$1572$ |
$132$ |
$90$ |
$C_{10}$ |
$C_{19}:D_{19}$ |
$C_{19}^2$ |
$C_{20}$ |
$2^{7} \cdot 3^{4} \cdot 5 \cdot 19^{3}$ |
$2^{6} \cdot 3^{4} \cdot 5 \cdot 19$ |
$7220$ |
$47$ |
$-$ |
? |
$-$ |
? |
? |
? |
Solvable - 2 |
| 7220.l |
$C_{190}:D_{19}$ |
$2^{2} \cdot 5 \cdot 19^{2}$ |
$2 \cdot 5 \cdot 19$ |
$-1$ |
$2$ |
$5$ |
$3$ |
$1820$ |
$4540$ |
$220$ |
$94$ |
$C_{10}$ |
$C_{19}:D_{19}$ |
$C_{19}^2$ |
$C_{2} \times C_{10}$ |
$2^{7} \cdot 3^{4} \cdot 5 \cdot 19^{3}$ |
$2^{6} \cdot 3^{4} \cdot 5 \cdot 19$ |
$3610$ |
$45$ |
$-$ |
? |
$-$ |
? |
? |
? |
Solvable - 2 |
| 7260.n |
$C_{11}^2:C_{60}$ |
$2^{2} \cdot 3 \cdot 5 \cdot 11^{2}$ |
$2^{2} \cdot 3 \cdot 5 \cdot 11$ |
$-1$ |
$2$ |
$6$ |
$3$ |
$1860$ |
$1128$ |
$168$ |
$116$ |
$C_{30}$ |
$C_{11}:D_{11}$ |
$C_{11}^2$ |
$C_{60}$ |
$2^{8} \cdot 3 \cdot 5^{2} \cdot 11^{3}$ |
$2^{7} \cdot 3 \cdot 5^{2} \cdot 11$ |
$7260$ |
$34$ |
$-$ |
? |
$-$ |
? |
? |
? |
Solvable - 2 |
| 7260.o |
$C_{165}:D_{22}$ |
$2^{2} \cdot 3 \cdot 5 \cdot 11^{2}$ |
$2 \cdot 3 \cdot 5 \cdot 11$ |
$-1$ |
$2$ |
$6$ |
$3$ |
$1860$ |
$3160$ |
$280$ |
$124$ |
$C_{30}$ |
$C_{11}:D_{11}$ |
$C_{11}^2$ |
$C_{2} \times C_{30}$ |
$2^{8} \cdot 3 \cdot 5^{2} \cdot 11^{3}$ |
$2^{7} \cdot 3 \cdot 5^{2} \cdot 11$ |
$3630$ |
$32$ |
$-$ |
? |
$-$ |
? |
? |
? |
Solvable - 2 |
| 8379.c |
$C_3\times C_7^2:C_{57}$ |
$3^{2} \cdot 7^{2} \cdot 19$ |
$3 \cdot 7 \cdot 19$ |
$-1$ |
$2$ |
$5$ |
$3$ |
$1083$ |
$888$ |
$120$ |
$48$ |
$C_{57}$ |
$C_7^2:C_3$ |
$C_7^2$ |
$C_{3} \times C_{57}$ |
$2^{7} \cdot 3^{5} \cdot 7^{3}$ |
$2^{7} \cdot 3^{4} \cdot 7$ |
$2793$ |
$36$ |
$-$ |
? |
$-$ |
? |
? |
? |
Solvable - 2 |
| 9075.a |
$C_5\times C_{11}^2:C_{15}$ |
$3 \cdot 5^{2} \cdot 11^{2}$ |
$3 \cdot 5 \cdot 11$ |
$-1$ |
$2$ |
$5$ |
$3$ |
$435$ |
$3104$ |
$224$ |
$68$ |
$C_{15}$ |
$C_{11}^2:C_5$ |
$C_{11}^2$ |
$C_{5} \times C_{15}$ |
$2^{7} \cdot 3 \cdot 5^{3} \cdot 11^{3}$ |
$2^{7} \cdot 3 \cdot 5^{2} \cdot 11$ |
$1815$ |
$30$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 2 |
| 10404.h |
$C_{17}^2:C_{36}$ |
$2^{2} \cdot 3^{2} \cdot 17^{2}$ |
$2^{2} \cdot 3^{2} \cdot 17$ |
$-1$ |
$2$ |
$6$ |
$3$ |
$684$ |
$3636$ |
$180$ |
$66$ |
$C_9$ |
$C_{17}^2:C_4$ |
$C_{17}^2$ |
$C_{36}$ |
$2^{10} \cdot 3^{3} \cdot 17^{3}$ |
$2^{8} \cdot 3^{3} \cdot 17$ |
$2601$ |
$43$ |
$-$ |
? |
$-$ |
? |
? |
? |
Solvable - 2 |
| 10404.m |
$C_{17}^2:C_{36}$ |
$2^{2} \cdot 3^{2} \cdot 17^{2}$ |
$2^{2} \cdot 3^{2} \cdot 17$ |
$-1$ |
$2$ |
$6$ |
$3$ |
$2628$ |
$1908$ |
$180$ |
$123$ |
$C_{18}$ |
$C_{17}:D_{17}$ |
$C_{17}^2$ |
$C_{36}$ |
$2^{11} \cdot 3^{3} \cdot 17^{3}$ |
$2^{10} \cdot 3^{3} \cdot 17$ |
$10404$ |
$47$ |
$-$ |
? |
$-$ |
? |
? |
? |
Solvable - 2 |
| 10404.o |
$C_{153}:D_{34}$ |
$2^{2} \cdot 3^{2} \cdot 17^{2}$ |
$2 \cdot 3^{2} \cdot 17$ |
$-1$ |
$2$ |
$6$ |
$3$ |
$2628$ |
$5484$ |
$300$ |
$129$ |
$C_{18}$ |
$C_{17}:D_{17}$ |
$C_{17}^2$ |
$C_{2} \times C_{18}$ |
$2^{11} \cdot 3^{3} \cdot 17^{3}$ |
$2^{10} \cdot 3^{3} \cdot 17$ |
$5202$ |
$45$ |
$-$ |
? |
$-$ |
? |
? |
? |
Solvable - 2 |
| 10647.b |
$C_3\times C_{13}^2:C_{21}$ |
$3^{2} \cdot 7 \cdot 13^{2}$ |
$3 \cdot 7 \cdot 13$ |
$-1$ |
$2$ |
$5$ |
$3$ |
$1239$ |
$2880$ |
$192$ |
$72$ |
$C_{21}$ |
$C_{13}^2:C_3$ |
$C_{13}^2$ |
$C_{3} \times C_{21}$ |
$2^{7} \cdot 3^{4} \cdot 7 \cdot 13^{3}$ |
$2^{7} \cdot 3^{3} \cdot 7 \cdot 13$ |
$3549$ |
$36$ |
$-$ |
? |
$-$ |
? |
? |
? |
Solvable - 2 |
| 10830.d |
$C_{19}^2:C_{30}$ |
$2 \cdot 3 \cdot 5 \cdot 19^{2}$ |
$2 \cdot 3 \cdot 5 \cdot 19$ |
$-1$ |
$2$ |
$5$ |
$3$ |
$330$ |
$4496$ |
$176$ |
$50$ |
$C_5$ |
$C_{19}^2:C_6$ |
$C_{19}^2$ |
$C_{30}$ |
$2^{6} \cdot 3^{4} \cdot 5 \cdot 19^{3}$ |
$2^{5} \cdot 3^{3} \cdot 5 \cdot 19$ |
$1805$ |
$43$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 2 |
| 10830.e |
$C_{285}:D_{19}$ |
$2 \cdot 3 \cdot 5 \cdot 19^{2}$ |
$2 \cdot 3 \cdot 5 \cdot 19$ |
$-1$ |
$2$ |
$5$ |
$3$ |
$2730$ |
$3056$ |
$176$ |
$92$ |
$C_{15}$ |
$C_{19}:D_{19}$ |
$C_{19}^2$ |
$C_{30}$ |
$2^{7} \cdot 3^{4} \cdot 5 \cdot 19^{3}$ |
$2^{6} \cdot 3^{4} \cdot 5 \cdot 19$ |
$5415$ |
$46$ |
$-$ |
? |
$-$ |
? |
? |
? |
Solvable - 2 |
| 10830.g |
$C_{19}^2:C_{30}$ |
$2 \cdot 3 \cdot 5 \cdot 19^{2}$ |
$2 \cdot 3 \cdot 5 \cdot 19$ |
$-1$ |
$2$ |
$5$ |
$3$ |
$1230$ |
$3056$ |
$176$ |
$92$ |
$C_{10}$ |
$C_{19}^2:C_3$ |
$C_{19}^2$ |
$C_{30}$ |
$2^{6} \cdot 3^{4} \cdot 5 \cdot 19^{3}$ |
$2^{6} \cdot 3^{3} \cdot 5 \cdot 19$ |
$3610$ |
$45$ |
$-$ |
? |
$-$ |
? |
? |
? |
Solvable - 2 |
| 11172.b |
$C_{399}:D_{14}$ |
$2^{2} \cdot 3 \cdot 7^{2} \cdot 19$ |
$2 \cdot 3 \cdot 7 \cdot 19$ |
$-1$ |
$2$ |
$6$ |
$3$ |
$2964$ |
$1352$ |
$200$ |
$92$ |
$C_{114}$ |
$C_7:D_7$ |
$C_7^2$ |
$C_{2} \times C_{114}$ |
$2^{8} \cdot 3^{4} \cdot 7^{3}$ |
$2^{7} \cdot 3^{4} \cdot 7$ |
$5586$ |
$38$ |
$-$ |
? |
$-$ |
? |
? |
? |
Solvable - 2 |
| 12100.d |
$C_5\times C_{11}^2:C_{20}$ |
$2^{2} \cdot 5^{2} \cdot 11^{2}$ |
$2^{2} \cdot 5 \cdot 11$ |
$-1$ |
$2$ |
$6$ |
$3$ |
$580$ |
$4656$ |
$336$ |
$102$ |
$C_{20}$ |
$C_{11}^2:C_5$ |
$C_{11}^2$ |
$C_{5} \times C_{20}$ |
$2^{7} \cdot 3 \cdot 5^{3} \cdot 11^{3}$ |
$2^{7} \cdot 3 \cdot 5^{2} \cdot 11$ |
$2420$ |
$31$ |
$-$ |
? |
$-$ |
? |
? |
? |
Solvable - 2 |
| 12100.bg |
$C_{11}^2:C_{10}^2$ |
$2^{2} \cdot 5^{2} \cdot 11^{2}$ |
$2 \cdot 5 \cdot 11$ |
$-1$ |
$2$ |
$6$ |
$3$ |
$580$ |
$7760$ |
$560$ |
$170$ |
$C_2\times C_{10}$ |
$C_{11}^2:C_5$ |
$C_{11}^2$ |
$C_{10}^{2}$ |
$2^{7} \cdot 3^{2} \cdot 5^{3} \cdot 11^{3}$ |
$2^{7} \cdot 3^{2} \cdot 5^{2} \cdot 11$ |
$2420$ |
$31$ |
$-$ |
? |
$-$ |
? |
? |
? |
Solvable - 2 |
| 12996.o |
$C_2\times C_{19}^2:C_{18}$ |
$2^{2} \cdot 3^{2} \cdot 19^{2}$ |
$2 \cdot 3^{2} \cdot 19$ |
$-1$ |
$2$ |
$6$ |
$3$ |
$396$ |
$8250$ |
$330$ |
$99$ |
$C_6$ |
$C_{19}^2:C_6$ |
$C_{19}^2$ |
$C_{2} \times C_{18}$ |
$2^{5} \cdot 3^{5} \cdot 5 \cdot 19^{3}$ |
$2^{4} \cdot 3^{4} \cdot 5 \cdot 19$ |
$6498$ |
$49$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 2 |
| 12996.r |
$C_3\times C_{19}^2:C_{12}$ |
$2^{2} \cdot 3^{2} \cdot 19^{2}$ |
$2^{2} \cdot 3 \cdot 19$ |
$-1$ |
$2$ |
$6$ |
$3$ |
$396$ |
$10476$ |
$396$ |
$102$ |
$C_6$ |
$C_{19}^2:C_6$ |
$C_{19}^2$ |
$C_{3} \times C_{12}$ |
$2^{6} \cdot 3^{5} \cdot 5 \cdot 19^{3}$ |
$2^{5} \cdot 3^{4} \cdot 5 \cdot 19$ |
$4332$ |
$45$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 2 |
| 12996.s |
$C_{19}^2:C_{36}$ |
$2^{2} \cdot 3^{2} \cdot 19^{2}$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
$-1$ |
$2$ |
$6$ |
$3$ |
$396$ |
$3798$ |
$198$ |
$93$ |
$C_6$ |
$C_{19}^2:C_6$ |
$C_{19}^2$ |
$C_{36}$ |
$2^{5} \cdot 3^{5} \cdot 5 \cdot 19^{3}$ |
$2^{4} \cdot 3^{4} \cdot 5 \cdot 19$ |
$12996$ |
$51$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 2 |
| 12996.t |
$C_{19}^2:C_6^2$ |
$2^{2} \cdot 3^{2} \cdot 19^{2}$ |
$2 \cdot 3 \cdot 19$ |
$-1$ |
$2$ |
$6$ |
$3$ |
$396$ |
$19380$ |
$660$ |
$114$ |
$C_6$ |
$C_{19}^2:C_6$ |
$C_{19}^2$ |
$C_{6}^{2}$ |
$2^{6} \cdot 3^{5} \cdot 5 \cdot 19^{3}$ |
$2^{5} \cdot 3^{4} \cdot 5 \cdot 19$ |
$2166$ |
$43$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 2 |
| 12996.u |
$C_3\times C_{19}^2:C_{12}$ |
$2^{2} \cdot 3^{2} \cdot 19^{2}$ |
$2^{2} \cdot 3 \cdot 19$ |
$-1$ |
$2$ |
$6$ |
$3$ |
$1476$ |
$9036$ |
$396$ |
$144$ |
$C_{12}$ |
$C_{19}^2:C_3$ |
$C_{19}^2$ |
$C_{3} \times C_{12}$ |
$2^{6} \cdot 3^{5} \cdot 5 \cdot 19^{3}$ |
$2^{6} \cdot 3^{4} \cdot 5 \cdot 19$ |
$4332$ |
$45$ |
$-$ |
? |
$-$ |
? |
? |
? |
Solvable - 2 |
| 12996.v |
$C_{19}^2:C_{36}$ |
$2^{2} \cdot 3^{2} \cdot 19^{2}$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
$-1$ |
$2$ |
$6$ |
$3$ |
$1476$ |
$2358$ |
$198$ |
$135$ |
$C_{12}$ |
$C_{19}^2:C_3$ |
$C_{19}^2$ |
$C_{36}$ |
$2^{5} \cdot 3^{5} \cdot 5 \cdot 19^{3}$ |
$2^{5} \cdot 3^{4} \cdot 5 \cdot 19$ |
$12996$ |
$51$ |
$-$ |
? |
$-$ |
? |
? |
? |
Solvable - 2 |
| 12996.w |
$C_{19}^2:C_{36}$ |
$2^{2} \cdot 3^{2} \cdot 19^{2}$ |
$2^{2} \cdot 3^{2} \cdot 19$ |
$-1$ |
$2$ |
$6$ |
$3$ |
$3276$ |
$2358$ |
$198$ |
$135$ |
$C_{18}$ |
$C_{19}:D_{19}$ |
$C_{19}^2$ |
$C_{36}$ |
$2^{6} \cdot 3^{5} \cdot 5 \cdot 19^{3}$ |
$2^{5} \cdot 3^{5} \cdot 5 \cdot 19$ |
$12996$ |
$51$ |
$-$ |
? |
$-$ |
? |
? |
? |
Solvable - 2 |
