| 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 |
| 720.808 |
$C_{10}\times \SOPlus(4,2)$ |
$2^{4} \cdot 3^{2} \cdot 5$ |
$2^{2} \cdot 3 \cdot 5$ |
$-1$ |
$3$ |
$7$ |
$3$ |
$90$ |
$828$ |
$172$ |
$42$ |
$C_{10}$ |
$\SOPlus(4,2)$ |
$C_3:S_3$ |
$C_{2}^{2} \times C_{10}$ |
$2^{8} \cdot 3^{2}$ |
$2^{5}$ |
$60$ |
$13$ |
$4$ |
$8$ |
$16$ |
? |
? |
? |
Solvable - 3 |
| 720.810 |
$C_2\times C_3^2:D_{20}$ |
$2^{4} \cdot 3^{2} \cdot 5$ |
$2^{2} \cdot 3 \cdot 5$ |
$-1$ |
$3$ |
$7$ |
$3$ |
$42$ |
$2052$ |
$172$ |
$31$ |
$C_2$ |
$C_3^2:D_{20}$ |
$C_{15}:S_3$ |
$C_{2}^{3}$ |
$2^{8} \cdot 3^{2} \cdot 5$ |
$2^{5}$ |
$60$ |
$13$ |
$8$ |
$8$ |
$16$ |
? |
? |
? |
Solvable - 3 |
| 1008.917 |
$C_{14}\times \SOPlus(4,2)$ |
$2^{4} \cdot 3^{2} \cdot 7$ |
$2^{2} \cdot 3 \cdot 7$ |
$-1$ |
$3$ |
$7$ |
$3$ |
$126$ |
$828$ |
$172$ |
$42$ |
$C_{14}$ |
$\SOPlus(4,2)$ |
$C_3:S_3$ |
$C_{2}^{2} \times C_{14}$ |
$2^{7} \cdot 3^{3}$ |
$2^{4} \cdot 3$ |
$84$ |
$15$ |
$4$ |
$8$ |
$24$ |
? |
? |
? |
Solvable - 3 |
| 1008.919 |
$C_2\times C_3^2:D_{28}$ |
$2^{4} \cdot 3^{2} \cdot 7$ |
$2^{2} \cdot 3 \cdot 7$ |
$-1$ |
$3$ |
$7$ |
$3$ |
$54$ |
$2664$ |
$172$ |
$31$ |
$C_2$ |
$C_3^2:D_{28}$ |
$C_{21}:S_3$ |
$C_{2}^{3}$ |
$2^{7} \cdot 3^{3} \cdot 7$ |
$2^{4} \cdot 3$ |
$84$ |
$15$ |
$8$ |
$8$ |
$24$ |
? |
? |
? |
Solvable - 3 |
| 1080.448 |
$C_3\times C_{15}\times \SL(2,3)$ |
$2^{3} \cdot 3^{3} \cdot 5$ |
$2^{2} \cdot 3 \cdot 5$ |
$-1$ |
$3$ |
$7$ |
$3$ |
$315$ |
$468$ |
$180$ |
$80$ |
$C_3\times C_{30}$ |
$A_4$ |
$Q_8$ |
$C_{3}^{2} \times C_{15}$ |
$2^{9} \cdot 3^{4}$ |
$2^{7} \cdot 3^{3}$ |
$360$ |
$19$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 3 |
| 1200.514 |
$(C_5\times C_{20}):D_6$ |
$2^{4} \cdot 3 \cdot 5^{2}$ |
$2^{2} \cdot 3 \cdot 5$ |
$-1$ |
$3$ |
$7$ |
$3$ |
$38$ |
$3122$ |
$162$ |
$30$ |
$C_2$ |
$C_2\times C_5^2:D_6$ |
$C_5^2:C_6$ |
$C_{2}^{3}$ |
$2^{8} \cdot 3 \cdot 5^{2}$ |
$2^{5}$ |
$60$ |
$19$ |
$12$ |
$12$ |
$24$ |
? |
? |
? |
Solvable - 3 |
| 1200.519 |
$C_{10}^2.D_6$ |
$2^{4} \cdot 3 \cdot 5^{2}$ |
$2^{2} \cdot 3 \cdot 5$ |
$-1$ |
$3$ |
$7$ |
$3$ |
$50$ |
$2450$ |
$162$ |
$32$ |
$C_2^2$ |
$C_5^2:D_6$ |
$C_5^2:C_6$ |
$C_{2}^{3}$ |
$2^{9} \cdot 3 \cdot 5^{2}$ |
$2^{7}$ |
$120$ |
$21$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 3 |
| 1200.672 |
$C_5^2\times \GL(2,3)$ |
$2^{4} \cdot 3 \cdot 5^{2}$ |
$2^{3} \cdot 3 \cdot 5$ |
$-1$ |
$4$ |
$7$ |
$2$ |
$200$ |
$440$ |
$128$ |
$40$ |
$C_5\times C_{10}$ |
$S_4$ |
$\SL(2,3)$ |
$C_{5} \times C_{10}$ |
$2^{9} \cdot 3^{2} \cdot 5$ |
$2^{6} \cdot 3 \cdot 5$ |
$200$ |
$18$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 4 |
| 1200.678 |
$C_5^2:\GL(2,3)$ |
$2^{4} \cdot 3 \cdot 5^{2}$ |
$2^{3} \cdot 3 \cdot 5$ |
$-1$ |
$4$ |
$7$ |
$3$ |
$92$ |
$2360$ |
$128$ |
$33$ |
$C_2$ |
$C_5^2:S_4$ |
$C_5^2\times \SL(2,3)$ |
$C_{2}$ |
$2^{9} \cdot 3^{2} \cdot 5^{3}$ |
$2^{6} \cdot 3 \cdot 5$ |
$200$ |
$18$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 4 |
| 1200.697 |
$C_5:D_5\times \SL(2,3)$ |
$2^{4} \cdot 3 \cdot 5^{2}$ |
$2^{2} \cdot 3 \cdot 5$ |
$-1$ |
$3$ |
$7$ |
$3$ |
$98$ |
$1576$ |
$144$ |
$37$ |
$C_2$ |
$C_{10}^2:C_6$ |
$Q_8\times C_5^2$ |
$C_{6}$ |
$2^{9} \cdot 3^{2} \cdot 5^{3}$ |
$2^{6} \cdot 3 \cdot 5$ |
$200$ |
$18$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 3 |
| 1200.880 |
$C_{10}^2.A_4$ |
$2^{4} \cdot 3 \cdot 5^{2}$ |
$2^{2} \cdot 3 \cdot 5$ |
$-1$ |
$3$ |
$7$ |
$2$ |
$350$ |
$328$ |
$144$ |
$72$ |
$C_{10}^2$ |
$A_4$ |
$Q_8$ |
$C_{5} \times C_{30}$ |
$2^{9} \cdot 3^{2} \cdot 5$ |
$2^{7} \cdot 3 \cdot 5$ |
$400$ |
$20$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 3 |
| 1200.963 |
$C_3\times D_5^2.C_2^2$ |
$2^{4} \cdot 3 \cdot 5^{2}$ |
$2^{2} \cdot 3 \cdot 5$ |
$-1$ |
$3$ |
$7$ |
$3$ |
$48$ |
$1292$ |
$128$ |
$36$ |
$C_3$ |
$D_5^2.C_2^2$ |
$C_5:D_5$ |
$C_{2}^{2} \times C_{6}$ |
$2^{6} \cdot 3 \cdot 5^{2}$ |
$2^{2} \cdot 3$ |
$30$ |
$13$ |
$8$ |
$16$ |
$16$ |
? |
? |
? |
Solvable - 3 |
| 1200.966 |
$C_5^2:D_{12}:C_2$ |
$2^{4} \cdot 3 \cdot 5^{2}$ |
$2^{2} \cdot 3 \cdot 5$ |
$-1$ |
$3$ |
$7$ |
$3$ |
$24$ |
$2188$ |
$128$ |
$25$ |
$C_1$ |
$C_5^2:D_{12}:C_2$ |
$C_{15}:D_5$ |
$C_{2}^{3}$ |
$2^{6} \cdot 3^{2} \cdot 5^{2}$ |
$2^{2} \cdot 3$ |
$30$ |
$13$ |
$16$ |
$16$ |
$16$ |
? |
? |
? |
Solvable - 3 |
| 1200.1001 |
$C_6\times D_5\wr C_2$ |
$2^{4} \cdot 3 \cdot 5^{2}$ |
$2^{2} \cdot 3 \cdot 5$ |
$-1$ |
$3$ |
$7$ |
$3$ |
$84$ |
$1852$ |
$188$ |
$42$ |
$C_6$ |
$D_5\wr C_2$ |
$C_5:D_5$ |
$C_{2}^{2} \times C_{6}$ |
$2^{8} \cdot 5^{2}$ |
$2^{5}$ |
$60$ |
$15$ |
$4$ |
$8$ |
$16$ |
? |
? |
? |
Solvable - 3 |
| 1200.1002 |
$C_2\times C_5^2:D_{12}$ |
$2^{4} \cdot 3 \cdot 5^{2}$ |
$2^{2} \cdot 3 \cdot 5$ |
$-1$ |
$3$ |
$7$ |
$3$ |
$48$ |
$3120$ |
$188$ |
$31$ |
$C_2$ |
$C_5^2:D_{12}$ |
$C_{15}:D_5$ |
$C_{2}^{3}$ |
$2^{8} \cdot 3 \cdot 5^{2}$ |
$2^{5}$ |
$60$ |
$15$ |
$8$ |
$8$ |
$16$ |
? |
? |
? |
Solvable - 3 |
| 1440.1625 |
$C_2\times Q_8:C_{90}$ |
$2^{5} \cdot 3^{2} \cdot 5$ |
$2^{2} \cdot 3^{2} \cdot 5$ |
$-1$ |
$3$ |
$8$ |
$2$ |
$420$ |
$450$ |
$202$ |
$94$ |
$C_2^2\times C_{30}$ |
$A_4$ |
$Q_8$ |
$C_{2} \times C_{90}$ |
$2^{8} \cdot 3^{3}$ |
$2^{6} \cdot 3^{2}$ |
$1440$ |
$26$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 3 |
| 1440.1629 |
$(C_2^2\times Q_8):C_{45}$ |
$2^{5} \cdot 3^{2} \cdot 5$ |
$2^{2} \cdot 3^{2} \cdot 5$ |
$-1$ |
$3$ |
$8$ |
$3$ |
$180$ |
$426$ |
$146$ |
$38$ |
$C_{30}$ |
$C_2^2:A_4$ |
$C_2^2\times Q_8$ |
$C_{45}$ |
$2^{9} \cdot 3^{3}$ |
$2^{5} \cdot 3^{2}$ |
$360$ |
$26$ |
$6$ |
$12$ |
$48$ |
? |
? |
? |
Solvable - 3 |
| 1440.5122 |
$C_{20}.\SOPlus(4,2)$ |
$2^{5} \cdot 3^{2} \cdot 5$ |
$2^{2} \cdot 3 \cdot 5$ |
$-1$ |
$3$ |
$8$ |
$3$ |
$120$ |
$1008$ |
$212$ |
$58$ |
$C_{10}$ |
$S_3^2:C_2^2$ |
$C_6:S_3$ |
$C_{2}^{2} \times C_{10}$ |
$2^{11} \cdot 3^{2}$ |
$2^{7}$ |
$240$ |
$19$ |
$8$ |
$16$ |
$32$ |
? |
? |
? |
Solvable - 3 |
| 1440.5125 |
$C_3^2:(C_{10}\times D_8)$ |
$2^{5} \cdot 3^{2} \cdot 5$ |
$2^{3} \cdot 3 \cdot 5$ |
$-1$ |
$3$ |
$8$ |
$3$ |
$120$ |
$1696$ |
$260$ |
$50$ |
$C_{10}$ |
$S_3^2:C_2^2$ |
$C_3^2:C_4$ |
$C_{2}^{2} \times C_{10}$ |
$2^{11} \cdot 3^{2}$ |
$2^{7}$ |
$120$ |
$19$ |
$8$ |
$16$ |
$32$ |
? |
? |
? |
Solvable - 3 |
| 1440.5128 |
$C_3^2:(C_{10}\times Q_{16})$ |
$2^{5} \cdot 3^{2} \cdot 5$ |
$2^{3} \cdot 3 \cdot 5$ |
$-1$ |
$3$ |
$8$ |
$3$ |
$120$ |
$928$ |
$196$ |
$50$ |
$C_{10}$ |
$S_3^2:C_2^2$ |
$C_3^2:C_4$ |
$C_{2}^{2} \times C_{10}$ |
$2^{11} \cdot 3^{2}$ |
$2^{7}$ |
$240$ |
$27$ |
$8$ |
$16$ |
$32$ |
? |
? |
? |
Solvable - 3 |
| 1440.5131 |
$C_{20}:\SOPlus(4,2)$ |
$2^{5} \cdot 3^{2} \cdot 5$ |
$2^{2} \cdot 3 \cdot 5$ |
$-1$ |
$3$ |
$8$ |
$3$ |
$120$ |
$2096$ |
$324$ |
$58$ |
$C_{10}$ |
$S_3^2:C_2^2$ |
$C_6:S_3$ |
$C_{2}^{2} \times C_{10}$ |
$2^{11} \cdot 3^{2}$ |
$2^{7}$ |
$120$ |
$15$ |
$8$ |
$16$ |
$32$ |
? |
? |
? |
Solvable - 3 |
| 1440.5134 |
$C_5\times C_6^2.D_4$ |
$2^{5} \cdot 3^{2} \cdot 5$ |
$2^{2} \cdot 3 \cdot 5$ |
$-1$ |
$3$ |
$8$ |
$3$ |
$180$ |
$1376$ |
$292$ |
$86$ |
$C_2\times C_{10}$ |
$\SOPlus(4,2)$ |
$C_3:S_3$ |
$C_{2}^{2} \times C_{20}$ |
$2^{11} \cdot 3^{2}$ |
$2^{8}$ |
$240$ |
$17$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 3 |
| 1440.5135 |
$C_3^2:D_8\times C_{10}$ |
$2^{5} \cdot 3^{2} \cdot 5$ |
$2^{3} \cdot 3 \cdot 5$ |
$-1$ |
$3$ |
$8$ |
$3$ |
$150$ |
$1376$ |
$260$ |
$54$ |
$C_2\times C_{10}$ |
$\SOPlus(4,2)$ |
$C_3^2:C_4$ |
$C_{2}^{2} \times C_{10}$ |
$2^{11} \cdot 3^{2}$ |
$2^{8}$ |
$240$ |
$21$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 3 |
| 1440.5140 |
$C_3^2:Q_{16}\times C_{10}$ |
$2^{5} \cdot 3^{2} \cdot 5$ |
$2^{3} \cdot 3 \cdot 5$ |
$-1$ |
$3$ |
$8$ |
$3$ |
$150$ |
$864$ |
$196$ |
$54$ |
$C_2\times C_{10}$ |
$\SOPlus(4,2)$ |
$C_3^2:C_4$ |
$C_{2}^{2} \times C_{10}$ |
$2^{11} \cdot 3^{2}$ |
$2^{8}$ |
$480$ |
$29$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 3 |
| 1440.5180 |
$C_{20}.\SOPlus(4,2)$ |
$2^{5} \cdot 3^{2} \cdot 5$ |
$2^{2} \cdot 3 \cdot 5$ |
$-1$ |
$3$ |
$8$ |
$3$ |
$72$ |
$2232$ |
$212$ |
$47$ |
$C_2$ |
$C_2\times C_3^2:D_{20}$ |
$C_{30}:S_3$ |
$C_{2}^{3}$ |
$2^{11} \cdot 3^{2} \cdot 5$ |
$2^{7}$ |
$240$ |
$19$ |
$8$ |
$16$ |
$64$ |
? |
? |
? |
Solvable - 3 |
| 1440.5181 |
$C_3^2:(C_2\times D_{40})$ |
$2^{5} \cdot 3^{2} \cdot 5$ |
$2^{3} \cdot 3 \cdot 5$ |
$-1$ |
$3$ |
$8$ |
$3$ |
$72$ |
$4456$ |
$260$ |
$39$ |
$C_2$ |
$C_2\times C_3^2:D_{20}$ |
$C_3^2:C_{20}$ |
$C_{2}^{3}$ |
$2^{11} \cdot 3^{2} \cdot 5$ |
$2^{7}$ |
$120$ |
$19$ |
$8$ |
$8$ |
$32$ |
? |
? |
? |
Solvable - 3 |
| 1440.5186 |
$C_{20}.\SOPlus(4,2)$ |
$2^{5} \cdot 3^{2} \cdot 5$ |
$2^{3} \cdot 3 \cdot 5$ |
$-1$ |
$3$ |
$8$ |
$3$ |
$72$ |
$2152$ |
$196$ |
$39$ |
$C_2$ |
$C_2\times C_3^2:D_{20}$ |
$C_3^2:C_{20}$ |
$C_{2}^{3}$ |
$2^{11} \cdot 3^{2} \cdot 5$ |
$2^{7}$ |
$240$ |
$27$ |
$8$ |
$16$ |
$64$ |
? |
? |
? |
Solvable - 3 |
| 1440.5189 |
$C_{20}:\SOPlus(4,2)$ |
$2^{5} \cdot 3^{2} \cdot 5$ |
$2^{2} \cdot 3 \cdot 5$ |
$-1$ |
$3$ |
$8$ |
$3$ |
$72$ |
$5496$ |
$324$ |
$47$ |
$C_2$ |
$C_2\times C_3^2:D_{20}$ |
$C_{30}:S_3$ |
$C_{2}^{3}$ |
$2^{11} \cdot 3^{2} \cdot 5$ |
$2^{7}$ |
$120$ |
$15$ |
$8$ |
$8$ |
$32$ |
? |
? |
? |
Solvable - 3 |
| 1440.5192 |
$C_6^2.D_{20}$ |
$2^{5} \cdot 3^{2} \cdot 5$ |
$2^{2} \cdot 3 \cdot 5$ |
$-1$ |
$3$ |
$8$ |
$3$ |
$84$ |
$2600$ |
$292$ |
$75$ |
$C_2^2$ |
$C_3^2:D_{20}$ |
$C_{15}:S_3$ |
$C_{2}^{2} \times C_{4}$ |
$2^{11} \cdot 3^{2} \cdot 5$ |
$2^{8}$ |
$240$ |
$17$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 3 |
| 1440.5193 |
$C_6^2.D_{20}$ |
$2^{5} \cdot 3^{2} \cdot 5$ |
$2^{3} \cdot 3 \cdot 5$ |
$-1$ |
$3$ |
$8$ |
$3$ |
$78$ |
$3624$ |
$260$ |
$43$ |
$C_2^2$ |
$C_3^2:D_{20}$ |
$C_3^2:C_{20}$ |
$C_{2}^{3}$ |
$2^{11} \cdot 3^{2} \cdot 5$ |
$2^{8}$ |
$240$ |
$21$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 3 |
| 1440.5198 |
$C_6^2.D_{20}$ |
$2^{5} \cdot 3^{2} \cdot 5$ |
$2^{3} \cdot 3 \cdot 5$ |
$-1$ |
$3$ |
$8$ |
$3$ |
$78$ |
$2088$ |
$196$ |
$43$ |
$C_2^2$ |
$C_3^2:D_{20}$ |
$C_3^2:C_{20}$ |
$C_{2}^{3}$ |
$2^{11} \cdot 3^{2} \cdot 5$ |
$2^{8}$ |
$480$ |
$29$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 3 |
| 1440.5388 |
$C_{30}:\GL(2,3)$ |
$2^{5} \cdot 3^{2} \cdot 5$ |
$2^{3} \cdot 3 \cdot 5$ |
$-1$ |
$4$ |
$8$ |
$3$ |
$150$ |
$2032$ |
$288$ |
$50$ |
$C_2\times C_{10}$ |
$C_3:S_4$ |
$C_3\times \SL(2,3)$ |
$C_{2} \times C_{10}$ |
$2^{9} \cdot 3^{3}$ |
$2^{6} \cdot 3$ |
$240$ |
$18$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 4 |
| 1440.5399 |
$C_{30}:\GL(2,3)$ |
$2^{5} \cdot 3^{2} \cdot 5$ |
$2^{3} \cdot 3 \cdot 5$ |
$-1$ |
$4$ |
$8$ |
$3$ |
$114$ |
$5592$ |
$288$ |
$47$ |
$C_2^2$ |
$C_{15}:S_4$ |
$C_{15}\times \SL(2,3)$ |
$C_{2}^{2}$ |
$2^{9} \cdot 3^{3} \cdot 5$ |
$2^{6} \cdot 3$ |
$240$ |
$18$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 4 |
| 1440.5410 |
$C_3\times D_{10}\times \SL(2,3)$ |
$2^{5} \cdot 3^{2} \cdot 5$ |
$2^{2} \cdot 3 \cdot 5$ |
$-1$ |
$3$ |
$8$ |
$2$ |
$168$ |
$2088$ |
$328$ |
$84$ |
$C_2\times C_6$ |
$D_5\times A_4$ |
$C_5\times Q_8$ |
$C_{6}^{2}$ |
$2^{9} \cdot 3^{2} \cdot 5$ |
$2^{6} \cdot 3$ |
$240$ |
$18$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 3 |
| 1440.5754 |
$C_2\times C_{30}\times \SL(2,3)$ |
$2^{5} \cdot 3^{2} \cdot 5$ |
$2^{2} \cdot 3 \cdot 5$ |
$-1$ |
$3$ |
$8$ |
$2$ |
$420$ |
$864$ |
$328$ |
$124$ |
$C_2^2\times C_{30}$ |
$A_4$ |
$Q_8$ |
$C_{6} \times C_{30}$ |
$2^{9} \cdot 3^{3}$ |
$2^{7} \cdot 3^{2}$ |
$480$ |
$20$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 3 |
| 1440.5756 |
$C_{15}\times \SL(2,3):C_2^2$ |
$2^{5} \cdot 3^{2} \cdot 5$ |
$2^{2} \cdot 3 \cdot 5$ |
$-1$ |
$3$ |
$8$ |
$2$ |
$285$ |
$672$ |
$228$ |
$84$ |
$C_{30}$ |
$C_2^2\times A_4$ |
$Q_8$ |
$C_{6} \times C_{30}$ |
$2^{9} \cdot 3^{3}$ |
$2^{5} \cdot 3^{2}$ |
$360$ |
$32$ |
$4$ |
$8$ |
$32$ |
? |
? |
? |
Solvable - 3 |
| 1440.5758 |
$Q_8:A_4\times C_{15}$ |
$2^{5} \cdot 3^{2} \cdot 5$ |
$2^{2} \cdot 3 \cdot 5$ |
$-1$ |
$3$ |
$8$ |
$3$ |
$180$ |
$768$ |
$200$ |
$44$ |
$C_{30}$ |
$C_2^2:A_4$ |
$C_2^2\times Q_8$ |
$C_{3} \times C_{15}$ |
$2^{10} \cdot 3^{3}$ |
$2^{6} \cdot 3^{2}$ |
$360$ |
$20$ |
$6$ |
$12$ |
$48$ |
? |
? |
? |
Solvable - 3 |
| 1440.5890 |
$D_{10}\times \SOPlus(4,2)$ |
$2^{5} \cdot 3^{2} \cdot 5$ |
$2^{2} \cdot 3 \cdot 5$ |
$-1$ |
$3$ |
$8$ |
$4$ |
$72$ |
$10056$ |
$740$ |
$104$ |
$C_2$ |
$S_3^2:D_{10}$ |
$C_{15}:S_3$ |
$C_{2}^{4}$ |
$2^{9} \cdot 3^{2} \cdot 5$ |
$2^{5}$ |
$60$ |
$13$ |
$8$ |
$8$ |
$16$ |
? |
? |
? |
Solvable - 3 |
| 1440.5919 |
$D_6^2:C_{10}$ |
$2^{5} \cdot 3^{2} \cdot 5$ |
$2^{2} \cdot 3 \cdot 5$ |
$-1$ |
$3$ |
$8$ |
$4$ |
$180$ |
$3904$ |
$740$ |
$166$ |
$C_2\times C_{10}$ |
$\SOPlus(4,2)$ |
$C_3:S_3$ |
$C_{2}^{3} \times C_{10}$ |
$2^{11} \cdot 3^{3}$ |
$2^{8} \cdot 3$ |
$120$ |
$15$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 3 |
| 1440.5921 |
$C_6^2:D_{20}$ |
$2^{5} \cdot 3^{2} \cdot 5$ |
$2^{2} \cdot 3 \cdot 5$ |
$-1$ |
$3$ |
$8$ |
$4$ |
$84$ |
$10184$ |
$740$ |
$115$ |
$C_2^2$ |
$C_3^2:D_{20}$ |
$C_{15}:S_3$ |
$C_{2}^{4}$ |
$2^{11} \cdot 3^{3} \cdot 5$ |
$2^{8} \cdot 3$ |
$120$ |
$15$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 3 |
| 1512.632 |
$C_{21}:C_3\times \SL(2,3)$ |
$2^{3} \cdot 3^{3} \cdot 7$ |
$2^{2} \cdot 3 \cdot 7$ |
$-1$ |
$3$ |
$7$ |
$3$ |
$105$ |
$1584$ |
$180$ |
$50$ |
$C_6$ |
$A_4\times C_7:C_3$ |
$C_7\times Q_8$ |
$C_{3}^{3}$ |
$2^{5} \cdot 3^{4} \cdot 7$ |
$2^{3} \cdot 3^{2}$ |
$168$ |
$18$ |
$6$ |
$12$ |
$24$ |
? |
? |
? |
Solvable - 3 |
| 1512.739 |
$C_3\times C_{21}\times \SL(2,3)$ |
$2^{3} \cdot 3^{3} \cdot 7$ |
$2^{2} \cdot 3 \cdot 7$ |
$-1$ |
$3$ |
$7$ |
$3$ |
$441$ |
$468$ |
$180$ |
$80$ |
$C_3\times C_{42}$ |
$A_4$ |
$Q_8$ |
$C_{3}^{2} \times C_{21}$ |
$2^{8} \cdot 3^{5}$ |
$2^{6} \cdot 3^{4}$ |
$504$ |
$21$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 3 |
| 1512.740 |
$C_3\times C_{21}:\SL(2,3)$ |
$2^{3} \cdot 3^{3} \cdot 7$ |
$2^{2} \cdot 3 \cdot 7$ |
$-1$ |
$3$ |
$7$ |
$3$ |
$153$ |
$1656$ |
$180$ |
$58$ |
$C_3\times C_6$ |
$C_7:A_4$ |
$C_7\times Q_8$ |
$C_{3}^{3}$ |
$2^{7} \cdot 3^{5} \cdot 7$ |
$2^{5} \cdot 3^{4}$ |
$504$ |
$21$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 3 |
| 1584.670 |
$C_{22}\times \SOPlus(4,2)$ |
$2^{4} \cdot 3^{2} \cdot 11$ |
$2^{2} \cdot 3 \cdot 11$ |
$-1$ |
$3$ |
$7$ |
$3$ |
$198$ |
$828$ |
$172$ |
$42$ |
$C_{22}$ |
$\SOPlus(4,2)$ |
$C_3:S_3$ |
$C_{2}^{2} \times C_{22}$ |
$2^{7} \cdot 3^{2} \cdot 5$ |
$2^{4} \cdot 5$ |
$132$ |
$19$ |
$4$ |
$8$ |
$40$ |
? |
? |
? |
Solvable - 3 |
| 1584.672 |
$C_2\times C_3^2:D_{44}$ |
$2^{4} \cdot 3^{2} \cdot 11$ |
$2^{2} \cdot 3 \cdot 11$ |
$-1$ |
$3$ |
$7$ |
$3$ |
$78$ |
$3888$ |
$172$ |
$31$ |
$C_2$ |
$C_3^2:D_{44}$ |
$C_{33}:S_3$ |
$C_{2}^{3}$ |
$2^{7} \cdot 3^{2} \cdot 5 \cdot 11$ |
$2^{4} \cdot 5$ |
$132$ |
$19$ |
$8$ |
$8$ |
$40$ |
? |
? |
? |
Solvable - 3 |
| 1800.354 |
$(C_5\times C_{15}):D_{12}$ |
$2^{3} \cdot 3^{2} \cdot 5^{2}$ |
$2^{2} \cdot 3 \cdot 5$ |
$-1$ |
$3$ |
$7$ |
$3$ |
$45$ |
$3572$ |
$128$ |
$25$ |
$C_2$ |
$(C_5\times C_{15}):D_6$ |
$C_3\times C_5^2:C_6$ |
$C_{2}^{2}$ |
$2^{7} \cdot 3^{3} \cdot 5^{2}$ |
$2^{5} \cdot 3$ |
$180$ |
$22$ |
$12$ |
$12$ |
$48$ |
? |
? |
? |
Solvable - 3 |
| 1800.510 |
$Q_8:C_{15}^2$ |
$2^{3} \cdot 3^{2} \cdot 5^{2}$ |
$2^{2} \cdot 3 \cdot 5$ |
$-1$ |
$3$ |
$7$ |
$2$ |
$525$ |
$384$ |
$160$ |
$80$ |
$C_5\times C_{30}$ |
$A_4$ |
$Q_8$ |
$C_{15}^{2}$ |
$2^{9} \cdot 3^{3} \cdot 5$ |
$2^{7} \cdot 3^{2} \cdot 5$ |
$600$ |
$21$ |
$-$ |
? |
$-$ |
? |
? |
? |
Solvable - 3 |
| 1800.650 |
$C_{15}^2:D_4$ |
$2^{3} \cdot 3^{2} \cdot 5^{2}$ |
$2^{2} \cdot 3 \cdot 5$ |
$-1$ |
$3$ |
$7$ |
$2$ |
$126$ |
$1476$ |
$174$ |
$42$ |
$C_3^2$ |
$D_5\wr C_2$ |
$C_5:D_5$ |
$C_{6}^{2}$ |
$2^{9} \cdot 3 \cdot 5^{2}$ |
$2^{6} \cdot 3$ |
$90$ |
$16$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 3 |
| 1800.653 |
$C_{15}^2:D_4$ |
$2^{3} \cdot 3^{2} \cdot 5^{2}$ |
$2^{2} \cdot 3 \cdot 5$ |
$-1$ |
$3$ |
$7$ |
$3$ |
$54$ |
$3812$ |
$174$ |
$27$ |
$C_1$ |
$C_{15}^2:D_4$ |
$C_{15}^2:C_2$ |
$C_{2}^{2}$ |
$2^{9} \cdot 3^{3} \cdot 5^{2}$ |
$2^{6} \cdot 3$ |
$90$ |
$16$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 3 |
| 1800.657 |
$C_{15}^2:D_4$ |
$2^{3} \cdot 3^{2} \cdot 5^{2}$ |
$2^{2} \cdot 3 \cdot 5$ |
$-1$ |
$3$ |
$7$ |
$2$ |
$225$ |
$896$ |
$208$ |
$56$ |
$C_5^2$ |
$\SOPlus(4,2)$ |
$C_3:S_3$ |
$C_{10}^{2}$ |
$2^{9} \cdot 3^{3} \cdot 5$ |
$2^{6} \cdot 3 \cdot 5$ |
$150$ |
$16$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 3 |
