Abstract group search results

Results (8 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
11609505792.b	$C_3^8.C_2^4.C_2^8.C_3:S_3.S_4$	$2^{16} \cdot 3^{11}$	$2^{5} \cdot 3^{2}$	$-1$	$8$	$27$	$2$	284			$11$	$C_1$	$C_3^8.C_2^4.C_2^8.C_3:S_3.S_4$	$C_3^8.C_2^4.C_2^8.C_3:S_3.A_4$	$C_{2}$	$2^{16} \cdot 3^{11}$	$1$	$36$	$36$	$32$	?	?	?	?	?	Solvable - 8
104485552128.nx	$C_3^8.C_2^4.C_2^8.C_3^4.Q_8.S_3$	$2^{16} \cdot 3^{13}$	$2^{5} \cdot 3^{2}$	$-1$	$8$	$29$	$2$	695			$12$	$C_1$	$C_3^8.C_2^4.C_2^8.C_3^4.Q_8.S_3$	$C_3^8.C_2^4.C_2^8.C_3^4.Q_8.C_3$	$C_{2}$	$2^{16} \cdot 3^{13}$	$1$	$36$	$36$	$32$	?	?	?	?	?	Solvable - 8
417942208512.hz	$C_3^8.C_2^4.C_2^8.C_3^4.Q_8.S_4$	$2^{18} \cdot 3^{13}$	$2^{5} \cdot 3^{2}$	$-1$	$8$	$31$	$2$	1015			$14$	$C_1$	$C_3^8.C_2^4.C_2^8.C_3^4.Q_8.S_4$	$C_3^8.C_2^4.C_2^8.C_3.S_3^3.A_4$	$C_{2}$	$2^{19} \cdot 3^{13}$	$2$	$36$	$36$	$32$	?	?	?	?	?	Solvable - 8
417942208512.ia	$C_3^8.C_2^4.C_2^8.C_3.S_3^3.S_4$	$2^{18} \cdot 3^{13}$	$2^{4} \cdot 3^{2}$	$-1$	$8$	$31$	$2$	1114			$14$	$C_1$	$C_3^8.C_2^4.C_2^8.C_3.S_3^3.S_4$	$C_3^8.C_2^4.C_2^8.C_3.S_3^3.A_4$	$C_{2}$	$2^{19} \cdot 3^{13}$	$2$	$36$	$36$	$32$	?	?	?	?	?	Solvable - 8
835884417024.dh	$C_3^8.C_2^4.C_2^8.C_3^4.C_2\wr A_4.C_2$	$2^{19} \cdot 3^{13}$	$2^{5} \cdot 3^{2}$	$-1$	$8$	$32$	$2$	1925			$17$	$C_1$	$C_3^8.C_2^4.C_2^8.C_3^4.C_2\wr A_4.C_2$	$C_3^8.C_2^4.C_2^8.C_3.S_3^3.A_4$	$C_{2}^{2}$	$2^{19} \cdot 3^{13}$	$1$	$36$	$36$	?	?	?	?	?	?	Solvable - 8
570630428688384.b	$C_2^{18}.C_3^9.C_2^6.C_3:S_4.S_4$	$2^{30} \cdot 3^{12}$	$2^{5} \cdot 3^{2}$	$-1$	$8$	$42$	$2$	5304			$9$	$C_1$	$C_2^{18}.C_3^9.C_2^6.C_3:S_4.S_4$		$C_{2}$	$2^{31} \cdot 3^{12}$	$2$	$36$	$36$	?	?	?	?	?	?	Solvable - 8
570630428688384.c	$C_2^{18}.C_3^9.C_2^6.C_3:S_4.S_4$	$2^{30} \cdot 3^{12}$	$2^{5} \cdot 3^{2}$	$-1$	$8$	$42$	$2$	5256			$9$	$C_1$	$C_2^{18}.C_3^9.C_2^6.C_3:S_4.S_4$	$C_2^{18}.C_3^9.C_2^6.C_3:S_4.A_4$	$C_{2}$	$2^{31} \cdot 3^{12}$	$2$	$36$	$36$	?	?	?	?	?	?	Solvable - 8
1141260857376768.a	$C_2^{18}.C_3^9.C_2^6.C_3:S_4.\GL(2,3)$	$2^{31} \cdot 3^{12}$	$2^{5} \cdot 3^{2}$	$-1$	$8$	$43$	$2$	10380			$18$	$C_1$	$C_2^{18}.C_3^9.C_2^6.C_3:S_4.\GL(2,3)$	$C_2^{18}.C_3^9.C_2^6.C_3:S_4.A_4$	$C_{2}^{2}$	$2^{31} \cdot 3^{12}$	$1$	$36$	$36$	?	?	?	?	?	?	Solvable - 8

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