Abstract group search results

Results (4 matches)

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Label	Name	Family 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
12096.a	$G(2,2)$	$G(2,2)$	$2^{6} \cdot 3^{3} \cdot 7$	$2^{3} \cdot 3 \cdot 7$	$-1$	$1$	$2$	$2$	16				$C_1$	$G(2,2)$	$\SU(3,3)$	$C_{2}$	$2^{6} \cdot 3^{3} \cdot 7$	$1$		$28$	$6$	?	?	?	?	?	Non-Solvable - 2
4245696.a	$G(2,3)$	$G(2,3)$	$2^{6} \cdot 3^{6} \cdot 7 \cdot 13$	$2^{3} \cdot 3^{2} \cdot 7 \cdot 13$	$-1$	$0$	$1$	$2$	23				$C_1$	$G(2,3)$	$G(2,3)$	$C_1$	$2^{7} \cdot 3^{6} \cdot 7 \cdot 13$	$2$		$351$	$14$	$14$	$14$	?	?	?	Simple
251596800.a	$G(2,4)$	$G(2,4)$	$2^{12} \cdot 3^{3} \cdot 5^{2} \cdot 7 \cdot 13$	$2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 13$	$-1$	$0$	$1$	$2$	32				$C_1$	$G(2,4)$	$G(2,4)$	$C_1$	$2^{13} \cdot 3^{3} \cdot 5^{2} \cdot 7 \cdot 13$	$2$		$416$	$65$	$65$	$65$	?	?	?	Simple
5859000000.a	$G(2,5)$	$G(2,5)$	$2^{6} \cdot 3^{3} \cdot 5^{6} \cdot 7 \cdot 31$	$2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 31$	$-1$	$0$	$1$	$2$	44				$C_1$	$G(2,5)$	$G(2,5)$	$C_1$	$2^{6} \cdot 3^{3} \cdot 5^{6} \cdot 7 \cdot 31$	$1$		$3906$	$124$	$124$	$124$	?	?	?	Simple

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