LMFDB - Abstract group search results

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Order	Exponent	Nilpotency class	Nilpotent

Center	Commutator	Central quotient	Abelianization

Abelian	Cyclic	Solvable	Simple

Perfect	Direct product	Semidirect product	Wreath product

Automorphism group	Automorphisms	Transitive degree	Permutation degree

Minimal degree of $\C$-irrep	Minimal degree of $\Q$-irrep	Minimal degree of $\C$-rep	Minimal degree of $\Q$-rep

Outer aut. group	Outer automorphisms	Metabelian	Metacyclic

Almost simple	Quasisimple	A-group	Z-group

Frattini subgroup	Derived length	Rank	Schur multiplier

Supersolvable	Monomial	Rational

Number of subgroups	Number of normal subgroups	Number of conjugacy classes

Number of characteristic subgroups	Number of autjugacy classes	Number of divisions

Order statistics	Order factorization	Commutator length

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Results (1-50 of 385 matches)

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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
480.1148	$C_{30}.C_2^4$	$2^{5} \cdot 3 \cdot 5$	$2^{2} \cdot 3 \cdot 5$	$-1$	$2$	$7$	$4$	$192$	$880$	$472$	$370$	$C_2^3\times C_6$	$D_5$	$C_5$	$C_{2}^{3} \times C_{12}$	$2^{13} \cdot 3 \cdot 5 \cdot 7$	$2^{12} \cdot 3 \cdot 7$	$480$	$18$	$-$	$-$	$-$	?	?	?	Solvable - 2
480.1163	$C_{30}.C_2^4$	$2^{5} \cdot 3 \cdot 5$	$2^{2} \cdot 3 \cdot 5$	$-1$	$2$	$7$	$4$	$240$	$676$	$472$	$370$	$C_2^3\times C_{10}$	$S_3$	$C_3$	$C_{2}^{3} \times C_{20}$	$2^{13} \cdot 3^{2} \cdot 7$	$2^{12} \cdot 3 \cdot 7$	$480$	$18$	$-$	$-$	$-$	?	?	?	Solvable - 2
480.1178	$C_2^3.D_{30}$	$2^{5} \cdot 3 \cdot 5$	$2^{2} \cdot 3 \cdot 5$	$-1$	$2$	$7$	$4$	$144$	$1492$	$472$	$319$	$C_2^4$	$D_{15}$	$C_{15}$	$C_{2}^{3} \times C_{4}$	$2^{13} \cdot 3^{2} \cdot 5 \cdot 7$	$2^{12} \cdot 3 \cdot 7$	$480$	$18$	$-$	$-$	$-$	?	?	?	Solvable - 2
480.1210	$C_{15}:C_2^5$	$2^{5} \cdot 3 \cdot 5$	$2 \cdot 3 \cdot 5$	$-1$	$2$	$7$	$5$	$192$	$3952$	$1496$	$882$	$C_2^3\times C_6$	$D_5$	$C_5$	$C_{2}^{4} \times C_{6}$	$2^{13} \cdot 3^{2} \cdot 5^{2} \cdot 7$	$2^{12} \cdot 3^{2} \cdot 5 \cdot 7$	$240$	$16$	$-$	$-$	$-$	?	?	?	Solvable - 2
480.1211	$C_{15}:C_2^5$	$2^{5} \cdot 3 \cdot 5$	$2 \cdot 3 \cdot 5$	$-1$	$2$	$7$	$5$	$240$	$2724$	$1496$	$882$	$C_2^3\times C_{10}$	$S_3$	$C_3$	$C_{2}^{4} \times C_{10}$	$2^{13} \cdot 3^{3} \cdot 5 \cdot 7$	$2^{12} \cdot 3^{2} \cdot 5 \cdot 7$	$240$	$16$	$-$	$-$	$-$	?	?	?	Solvable - 2
480.1212	$C_2^3\times D_{30}$	$2^{5} \cdot 3 \cdot 5$	$2 \cdot 3 \cdot 5$	$-1$	$2$	$7$	$5$	$144$	$7636$	$1496$	$575$	$C_2^4$	$D_{15}$	$C_{15}$	$C_{2}^{5}$	$2^{13} \cdot 3^{3} \cdot 5^{2} \cdot 7$	$2^{12} \cdot 3^{2} \cdot 5 \cdot 7$	$240$	$16$	$-$	$-$	$-$	?	?	?	Solvable - 2
624.252	$C_2^2\times C_{26}:C_6$	$2^{4} \cdot 3 \cdot 13$	$2 \cdot 3 \cdot 13$	$-1$	$2$	$6$	$4$	$112$	$1072$	$268$	$201$	$C_2^4$	$C_{13}:C_3$	$C_{13}$	$C_{2}^{3} \times C_{6}$	$2^{8} \cdot 3^{3} \cdot 5 \cdot 7 \cdot 13$	$2^{8} \cdot 3^{2} \cdot 5 \cdot 7$	$208$	$21$	$-$	$-$	$-$	?	?	?	Solvable - 2
672.1216	$C_{42}.C_2^4$	$2^{5} \cdot 3 \cdot 7$	$2^{2} \cdot 3 \cdot 7$	$-1$	$2$	$7$	$4$	$240$	$1084$	$472$	$370$	$C_2^3\times C_6$	$D_7$	$C_7$	$C_{2}^{3} \times C_{12}$	$2^{12} \cdot 3^{2} \cdot 7^{2}$	$2^{11} \cdot 3^{2} \cdot 7$	$672$	$20$	$-$	$-$	$-$	?	?	?	Solvable - 2
672.1231	$C_{42}.C_2^4$	$2^{5} \cdot 3 \cdot 7$	$2^{2} \cdot 3 \cdot 7$	$-1$	$2$	$7$	$4$	$336$	$676$	$472$	$370$	$C_2^3\times C_{14}$	$S_3$	$C_3$	$C_{2}^{3} \times C_{28}$	$2^{12} \cdot 3^{3} \cdot 7$	$2^{11} \cdot 3^{2} \cdot 7$	$672$	$20$	$-$	$-$	$-$	?	?	?	Solvable - 2
672.1246	$C_2^3.D_{42}$	$2^{5} \cdot 3 \cdot 7$	$2^{2} \cdot 3 \cdot 7$	$-1$	$2$	$7$	$4$	$192$	$1900$	$472$	$319$	$C_2^4$	$D_{21}$	$C_{21}$	$C_{2}^{3} \times C_{4}$	$2^{12} \cdot 3^{3} \cdot 7^{2}$	$2^{11} \cdot 3^{2} \cdot 7$	$672$	$20$	$-$	$-$	$-$	?	?	?	Solvable - 2
672.1266	$C_2^4\times F_7$	$2^{5} \cdot 3 \cdot 7$	$2 \cdot 3 \cdot 7$	$-1$	$2$	$7$	$5$	$112$	$5582$	$1496$	$815$	$C_2^4$	$F_7$	$C_7$	$C_{2}^{4} \times C_{6}$	$2^{11} \cdot 3^{3} \cdot 5 \cdot 7^{2}$	$2^{10} \cdot 3^{2} \cdot 5 \cdot 7$	$112$	$15$	$-$	$-$	$-$	?	?	?	Solvable - 2
672.1272	$C_2^3\times C_{14}:C_6$	$2^{5} \cdot 3 \cdot 7$	$2 \cdot 3 \cdot 7$	$-1$	$2$	$7$	$5$	$160$	$3740$	$1496$	$1122$	$C_2^5$	$C_7:C_3$	$C_7$	$C_{2}^{4} \times C_{6}$	$2^{11} \cdot 3^{3} \cdot 5 \cdot 7^{2} \cdot 31$	$2^{11} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 31$	$224$	$17$	$-$	$-$	$-$	?	?	?	Solvable - 2
672.1277	$C_{21}:C_2^5$	$2^{5} \cdot 3 \cdot 7$	$2 \cdot 3 \cdot 7$	$-1$	$2$	$7$	$5$	$240$	$5180$	$1496$	$882$	$C_2^3\times C_6$	$D_7$	$C_7$	$C_{2}^{4} \times C_{6}$	$2^{12} \cdot 3^{3} \cdot 5 \cdot 7^{2}$	$2^{11} \cdot 3^{3} \cdot 5 \cdot 7$	$336$	$18$	$-$	$-$	$-$	?	?	?	Solvable - 2
672.1278	$C_{21}:C_2^5$	$2^{5} \cdot 3 \cdot 7$	$2 \cdot 3 \cdot 7$	$-1$	$2$	$7$	$5$	$336$	$2724$	$1496$	$882$	$C_2^3\times C_{14}$	$S_3$	$C_3$	$C_{2}^{4} \times C_{14}$	$2^{12} \cdot 3^{4} \cdot 5 \cdot 7$	$2^{11} \cdot 3^{3} \cdot 5 \cdot 7$	$336$	$18$	$-$	$-$	$-$	?	?	?	Solvable - 2
672.1279	$C_2^3\times D_{42}$	$2^{5} \cdot 3 \cdot 7$	$2 \cdot 3 \cdot 7$	$-1$	$2$	$7$	$5$	$192$	$10092$	$1496$	$575$	$C_2^4$	$D_{21}$	$C_{21}$	$C_{2}^{5}$	$2^{12} \cdot 3^{4} \cdot 5 \cdot 7^{2}$	$2^{11} \cdot 3^{3} \cdot 5 \cdot 7$	$336$	$18$	$-$	$-$	$-$	?	?	?	Solvable - 2
702.55	$D_{13}\times C_3^3$	$2 \cdot 3^{3} \cdot 13$	$2 \cdot 3 \cdot 13$	$-1$	$2$	$5$	$3$	$216$	$448$	$112$	$84$	$C_3^3$	$D_{13}$	$C_{13}$	$C_{3}^{2} \times C_{6}$	$2^{7} \cdot 3^{4} \cdot 13^{2}$	$2^{6} \cdot 3^{4} \cdot 13$	$351$	$22$	$-$	$-$	$-$	$4$	$8$	$18$	Solvable - 2
702.60	$C_3^3:C_{26}$	$2 \cdot 3^{3} \cdot 13$	$2 \cdot 3 \cdot 13$	$-1$	$2$	$5$	$4$	$195$	$424$	$112$	$58$	$C_{13}$	$C_3^2:S_3$	$C_3^3$	$C_{26}$	$2^{7} \cdot 3^{7} \cdot 13$	$2^{6} \cdot 3^{4} \cdot 13$	$351$	$22$	$-$	$-$	$-$	$6$	$8$	$18$	Solvable - 2
702.61	$C_3^2:D_{39}$	$2 \cdot 3^{3} \cdot 13$	$2 \cdot 3 \cdot 13$	$-1$	$2$	$5$	$4$	$177$	$2632$	$112$	$57$	$C_1$	$C_3^2:D_{39}$	$C_3^2\times C_{39}$	$C_{2}$	$2^{7} \cdot 3^{7} \cdot 13^{2}$	$2^{6} \cdot 3^{4} \cdot 13$	$351$	$22$	$-$	$-$	$-$	$6$	$6$	$18$	Solvable - 2
750.34	$C_5^3:C_6$	$2 \cdot 3 \cdot 5^{3}$	$2 \cdot 3 \cdot 5$	$-1$	$2$	$5$	$4$	$192$	$2240$	$256$	$130$	$C_3$	$C_5^3:C_2$	$C_5^3$	$C_{6}$	$2^{8} \cdot 3 \cdot 5^{6} \cdot 31$	$2^{7} \cdot 3 \cdot 5^{3} \cdot 31$	$375$	$18$	$-$	$-$	$-$	?	?	?	Solvable - 2
750.35	$S_3\times C_5^3$	$2 \cdot 3 \cdot 5^{3}$	$2 \cdot 3 \cdot 5$	$-1$	$2$	$5$	$3$	$375$	$384$	$256$	$192$	$C_5^3$	$S_3$	$C_3$	$C_{5}^{2} \times C_{10}$	$2^{8} \cdot 3^{2} \cdot 5^{3} \cdot 31$	$2^{7} \cdot 3 \cdot 5^{3} \cdot 31$	$375$	$18$	$-$	$-$	$-$	?	?	?	Solvable - 2
750.38	$C_5^2:D_{15}$	$2 \cdot 3 \cdot 5^{3}$	$2 \cdot 3 \cdot 5$	$-1$	$2$	$5$	$4$	$189$	$4352$	$256$	$129$	$C_1$	$C_5^2:D_{15}$	$C_5^2\times C_{15}$	$C_{2}$	$2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 31$	$2^{7} \cdot 3 \cdot 5^{3} \cdot 31$	$375$	$18$	$-$	$-$	$-$	?	?	?	Solvable - 2
810.104	$D_5\times C_3^4$	$2 \cdot 3^{4} \cdot 5$	$2 \cdot 3 \cdot 5$	$-1$	$2$	$6$	$4$	$324$	$1696$	$848$	$636$	$C_3^4$	$D_5$	$C_5$	$C_{3}^{3} \times C_{6}$	$2^{11} \cdot 3^{6} \cdot 5^{2} \cdot 13$	$2^{10} \cdot 3^{6} \cdot 5 \cdot 13$	$405$	$17$	$-$	$-$	$-$	?	?	?	Solvable - 2
810.111	$C_3^4:C_{10}$	$2 \cdot 3^{4} \cdot 5$	$2 \cdot 3 \cdot 5$	$-1$	$2$	$6$	$5$	$210$	$5328$	$848$	$426$	$C_5$	$C_3^3:S_3$	$C_3^4$	$C_{10}$	$2^{11} \cdot 3^{10} \cdot 5 \cdot 13$	$2^{10} \cdot 3^{6} \cdot 5 \cdot 13$	$405$	$17$	$-$	$-$	$-$	?	?	?	Solvable - 2
810.112	$C_3^3:D_{15}$	$2 \cdot 3^{4} \cdot 5$	$2 \cdot 3 \cdot 5$	$-1$	$2$	$6$	$5$	$204$	$15136$	$848$	$425$	$C_1$	$C_3^3:D_{15}$	$C_3^3\times C_{15}$	$C_{2}$	$2^{11} \cdot 3^{10} \cdot 5^{2} \cdot 13$	$2^{10} \cdot 3^{6} \cdot 5 \cdot 13$	$405$	$17$	$-$	$-$	$-$	?	?	?	Solvable - 2
912.214	$C_2^2\times C_{38}:C_6$	$2^{4} \cdot 3 \cdot 19$	$2 \cdot 3 \cdot 19$	$-1$	$2$	$6$	$4$	$144$	$1474$	$268$	$201$	$C_2^4$	$C_{19}:C_3$	$C_{19}$	$C_{2}^{3} \times C_{6}$	$2^{7} \cdot 3^{4} \cdot 5 \cdot 7 \cdot 19$	$2^{7} \cdot 3^{3} \cdot 5 \cdot 7$	$304$	$27$	$-$	$-$	$-$	?	?	?	Solvable - 2
918.23	$C_3^3\times D_{17}$	$2 \cdot 3^{3} \cdot 17$	$2 \cdot 3 \cdot 17$	$-1$	$2$	$5$	$3$	$270$	$560$	$112$	$84$	$C_3^3$	$D_{17}$	$C_{17}$	$C_{3}^{2} \times C_{6}$	$2^{9} \cdot 3^{3} \cdot 13 \cdot 17$	$2^{8} \cdot 3^{3} \cdot 13$	$459$	$26$	$-$	$-$	$-$	$4$	$8$	$22$	Solvable - 2
918.28	$C_3^3:C_{34}$	$2 \cdot 3^{3} \cdot 17$	$2 \cdot 3 \cdot 17$	$-1$	$2$	$5$	$4$	$255$	$424$	$112$	$58$	$C_{17}$	$C_3^2:S_3$	$C_3^3$	$C_{34}$	$2^{9} \cdot 3^{6} \cdot 13$	$2^{8} \cdot 3^{3} \cdot 13$	$459$	$26$	$-$	$-$	$-$	$6$	$8$	$22$	Solvable - 2
918.29	$C_3^2:D_{51}$	$2 \cdot 3^{3} \cdot 17$	$2 \cdot 3 \cdot 17$	$-1$	$2$	$5$	$4$	$231$	$3368$	$112$	$57$	$C_1$	$C_3^2:D_{51}$	$C_3^2\times C_{51}$	$C_{2}$	$2^{9} \cdot 3^{6} \cdot 13 \cdot 17$	$2^{8} \cdot 3^{3} \cdot 13$	$459$	$26$	$-$	$-$	$-$	$6$	$6$	$22$	Solvable - 2
960.9986	$C_{60}.C_2^4$	$2^{6} \cdot 3 \cdot 5$	$2^{3} \cdot 3 \cdot 5$	$-1$	$2$	$8$	$4$	$384$	$1084$	$676$	$574$	$C_2^3\times C_{12}$	$D_5$	$C_5$	$C_{2}^{3} \times C_{24}$	$2^{14} \cdot 3 \cdot 5 \cdot 7$	$2^{13} \cdot 3 \cdot 7$	$960$	$22$	$-$	$-$	$-$	?	?	?	Solvable - 2
960.9988	$C_6\times C_{10}:C_4^2$	$2^{6} \cdot 3 \cdot 5$	$2^{2} \cdot 3 \cdot 5$	$-1$	$2$	$8$	$4$	$384$	$2044$	$996$	$734$	$C_2^3\times C_{12}$	$D_5$	$C_5$	$C_{2}^{2} \times C_{4} \times C_{12}$	$2^{17} \cdot 3 \cdot 5$	$2^{16} \cdot 3$	$960$	$20$	$-$	$-$	$-$	?	?	?	Solvable - 2
960.9991	$C_2^2\times C_{20}:C_{12}$	$2^{6} \cdot 3 \cdot 5$	$2^{2} \cdot 3 \cdot 5$	$-1$	$2$	$8$	$4$	$312$	$2044$	$836$	$574$	$C_2^3\times C_6$	$D_{10}$	$C_{10}$	$C_{2}^{3} \times C_{12}$	$2^{17} \cdot 3 \cdot 5$	$2^{15} \cdot 3$	$960$	$20$	$-$	$-$	$-$	?	?	?	Solvable - 2
960.10045	$(C_2^3\times C_{10}):C_{12}$	$2^{6} \cdot 3 \cdot 5$	$2^{2} \cdot 3 \cdot 5$	$-1$	$2$	$8$	$4$	$312$	$3068$	$1348$	$574$	$C_2^3\times C_6$	$D_{10}$	$C_{10}$	$C_{2}^{3} \times C_{12}$	$2^{17} \cdot 3 \cdot 5$	$2^{15} \cdot 3$	$480$	$20$	$-$	$-$	$-$	?	?	?	Solvable - 2
960.10360	$C_{60}.C_2^4$	$2^{6} \cdot 3 \cdot 5$	$2^{3} \cdot 3 \cdot 5$	$-1$	$2$	$8$	$4$	$480$	$880$	$676$	$574$	$C_2^3\times C_{20}$	$S_3$	$C_3$	$C_{2}^{3} \times C_{40}$	$2^{14} \cdot 3^{2} \cdot 7$	$2^{13} \cdot 3 \cdot 7$	$960$	$22$	$-$	$-$	$-$	?	?	?	Solvable - 2
960.10362	$C_2^2\times C_{12}:C_{20}$	$2^{6} \cdot 3 \cdot 5$	$2^{2} \cdot 3 \cdot 5$	$-1$	$2$	$8$	$4$	$480$	$1520$	$996$	$734$	$C_2^3\times C_{20}$	$S_3$	$C_3$	$C_{2}^{2} \times C_{4} \times C_{20}$	$2^{17} \cdot 3^{2}$	$2^{16} \cdot 3$	$960$	$20$	$-$	$-$	$-$	?	?	?	Solvable - 2
960.10365	$C_2^2\times C_{12}:C_{20}$	$2^{6} \cdot 3 \cdot 5$	$2^{2} \cdot 3 \cdot 5$	$-1$	$2$	$8$	$4$	$360$	$1520$	$836$	$574$	$C_2^3\times C_{10}$	$D_6$	$C_6$	$C_{2}^{3} \times C_{20}$	$2^{17} \cdot 3^{2}$	$2^{15} \cdot 3$	$960$	$20$	$-$	$-$	$-$	?	?	?	Solvable - 2
960.10419	$(C_2^3\times C_{30}):C_4$	$2^{6} \cdot 3 \cdot 5$	$2^{2} \cdot 3 \cdot 5$	$-1$	$2$	$8$	$4$	$360$	$2544$	$1348$	$574$	$C_2^3\times C_{10}$	$D_6$	$C_6$	$C_{2}^{3} \times C_{20}$	$2^{17} \cdot 3^{2}$	$2^{15} \cdot 3$	$480$	$20$	$-$	$-$	$-$	?	?	?	Solvable - 2
960.10734	$C_{60}.C_2^4$	$2^{6} \cdot 3 \cdot 5$	$2^{3} \cdot 3 \cdot 5$	$-1$	$2$	$8$	$4$	$288$	$1696$	$676$	$523$	$C_2^3\times C_4$	$D_{15}$	$C_{15}$	$C_{2}^{3} \times C_{8}$	$2^{14} \cdot 3^{2} \cdot 5 \cdot 7$	$2^{13} \cdot 3 \cdot 7$	$960$	$22$	$-$	$-$	$-$	?	?	?	Solvable - 2
960.10736	$C_2^4.D_{30}$	$2^{6} \cdot 3 \cdot 5$	$2^{2} \cdot 3 \cdot 5$	$-1$	$2$	$8$	$4$	$288$	$3616$	$996$	$603$	$C_2^3\times C_4$	$D_{15}$	$C_{15}$	$C_{2}^{2} \times C_{4}^{2}$	$2^{17} \cdot 3^{2} \cdot 5$	$2^{16} \cdot 3$	$960$	$20$	$-$	$-$	$-$	?	?	?	Solvable - 2
960.10739	$C_2^3.D_{60}$	$2^{6} \cdot 3 \cdot 5$	$2^{2} \cdot 3 \cdot 5$	$-1$	$2$	$8$	$4$	$264$	$3616$	$836$	$523$	$C_2^4$	$D_{30}$	$C_{30}$	$C_{2}^{3} \times C_{4}$	$2^{17} \cdot 3^{2} \cdot 5$	$2^{15} \cdot 3$	$960$	$20$	$-$	$-$	$-$	?	?	?	Solvable - 2
960.10793	$C_2^4.D_{30}$	$2^{6} \cdot 3 \cdot 5$	$2^{2} \cdot 3 \cdot 5$	$-1$	$2$	$8$	$4$	$264$	$4640$	$1348$	$523$	$C_2^4$	$D_{30}$	$C_{30}$	$C_{2}^{3} \times C_{4}$	$2^{17} \cdot 3^{2} \cdot 5$	$2^{15} \cdot 3$	$480$	$20$	$-$	$-$	$-$	?	?	?	Solvable - 2
960.10796	$C_2^4:C_{60}$	$2^{6} \cdot 3 \cdot 5$	$2^{2} \cdot 3 \cdot 5$	$2$	$2$	$8$	$4$	$600$	$2020$	$1348$	$676$	$C_2^3\times C_{30}$	$C_2^2$	$C_2$	$C_{2}^{3} \times C_{60}$	$2^{17} \cdot 3$	$2^{15} \cdot 3$	$480$	$20$	$-$	?	$-$	?	?	?	Nilpotent - 2
960.10797	$C_2^2\times C_4:C_{60}$	$2^{6} \cdot 3 \cdot 5$	$2^{2} \cdot 3 \cdot 5$	$2$	$2$	$8$	$4$	$600$	$996$	$836$	$676$	$C_2^3\times C_{30}$	$C_2^2$	$C_2$	$C_{2}^{3} \times C_{60}$	$2^{17} \cdot 3$	$2^{15} \cdot 3$	$960$	$20$	$-$	?	$-$	?	?	?	Nilpotent - 2
960.11260	$C_{30}.C_2^5$	$2^{6} \cdot 3 \cdot 5$	$2^{2} \cdot 3 \cdot 5$	$-1$	$2$	$8$	$5$	$192$	$10504$	$2724$	$1240$	$C_2^4$	$S_3\times D_5$	$C_{15}$	$C_{2}^{4} \times C_{4}$	$2^{17} \cdot 3^{2} \cdot 5 \cdot 7$	$2^{15} \cdot 3 \cdot 7$	$480$	$18$	$-$	$-$	$-$	?	?	?	Solvable - 2
960.11263	$C_{30}.C_2^5$	$2^{6} \cdot 3 \cdot 5$	$2^{2} \cdot 3 \cdot 5$	$-1$	$2$	$8$	$5$	$192$	$9480$	$2724$	$1240$	$C_2^4$	$S_3\times D_5$	$C_{15}$	$C_{2}^{4} \times C_{4}$	$2^{17} \cdot 3^{2} \cdot 5 \cdot 7$	$2^{15} \cdot 3 \cdot 7$	$480$	$18$	$-$	$-$	$-$	?	?	?	Solvable - 2
960.11265	$C_{30}.C_2^5$	$2^{6} \cdot 3 \cdot 5$	$2^{2} \cdot 3 \cdot 5$	$-1$	$2$	$8$	$5$	$192$	$13576$	$2724$	$984$	$C_2^4$	$S_3\times D_5$	$C_{15}$	$C_{2}^{4} \times C_{4}$	$2^{17} \cdot 3^{2} \cdot 5 \cdot 7$	$2^{15} \cdot 3 \cdot 7$	$480$	$18$	$-$	$-$	$-$	?	?	?	Solvable - 2
960.11266	$C_{30}.C_2^5$	$2^{6} \cdot 3 \cdot 5$	$2^{2} \cdot 3 \cdot 5$	$-1$	$2$	$8$	$5$	$168$	$12552$	$2724$	$728$	$C_2^4$	$S_3\times D_5$	$C_{30}$	$C_{2}^{5}$	$2^{17} \cdot 3^{2} \cdot 5 \cdot 7$	$2^{15} \cdot 3 \cdot 7$	$480$	$18$	$-$	$-$	$-$	?	?	?	Solvable - 2
960.11267	$D_{30}:C_2^4$	$2^{6} \cdot 3 \cdot 5$	$2^{2} \cdot 3 \cdot 5$	$-1$	$2$	$8$	$5$	$168$	$16648$	$2724$	$728$	$C_2^4$	$S_3\times D_5$	$C_{30}$	$C_{2}^{5}$	$2^{17} \cdot 3^{2} \cdot 5 \cdot 7$	$2^{15} \cdot 3 \cdot 7$	$480$	$18$	$-$	$-$	$-$	?	?	?	Solvable - 2
960.11268	$D_{30}:C_2^4$	$2^{6} \cdot 3 \cdot 5$	$2^{2} \cdot 3 \cdot 5$	$-1$	$2$	$8$	$5$	$168$	$15624$	$2724$	$728$	$C_2^4$	$S_3\times D_5$	$C_{30}$	$C_{2}^{5}$	$2^{17} \cdot 3^{2} \cdot 5 \cdot 7$	$2^{15} \cdot 3 \cdot 7$	$480$	$18$	$-$	$-$	$-$	?	?	?	Solvable - 2
960.11269	$C_{30}.C_2^5$	$2^{6} \cdot 3 \cdot 5$	$2^{2} \cdot 3 \cdot 5$	$-1$	$2$	$8$	$5$	$168$	$7432$	$1700$	$728$	$C_2^4$	$S_3\times D_5$	$C_{30}$	$C_{2}^{5}$	$2^{17} \cdot 3^{2} \cdot 5 \cdot 7$	$2^{15} \cdot 3 \cdot 7$	$960$	$22$	$-$	$-$	$-$	?	?	?	Solvable - 2
960.11288	$C_{30}.C_2^5$	$2^{6} \cdot 3 \cdot 5$	$2^{2} \cdot 3 \cdot 5$	$-1$	$2$	$8$	$5$	$312$	$4156$	$1700$	$1086$	$C_2^3\times C_6$	$D_{10}$	$C_{10}$	$C_{2}^{4} \times C_{6}$	$2^{18} \cdot 3 \cdot 5 \cdot 7$	$2^{16} \cdot 3 \cdot 7$	$960$	$22$	$-$	$-$	$-$	?	?	?	Solvable - 2

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