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
11520.a	$C_2^4:S_6$	$\ASigmaSp(4,2)$	$2^{8} \cdot 3^{2} \cdot 5$	$2^{3} \cdot 3 \cdot 5$	$-1$	$1$	$6$	$2$	21	$61256$	$498$	$4$	$C_1$	$C_2^4:S_6$	$C_2^4:A_6$	$C_{2}$	$2^{9} \cdot 3^{2} \cdot 5$	$2$	$16$	$16$	$15$	$15$	$15$	$15$	$15$	$15$	Non-Solvable - 6
4199040.a	$C_3^4:\Sp(4,3)$	$\ASigmaSp(4,3)$	$2^{7} \cdot 3^{8} \cdot 5$	$2^{3} \cdot 3^{2} \cdot 5$	$-1$	$0$	$6$	$2$	58	$11069772$	$1222$	$4$	$C_1$	$C_3^4:\Sp(4,3)$	$C_3^4:\Sp(4,3)$	$C_1$	$2^{8} \cdot 3^{8} \cdot 5$	$2$	$81$	$81$	$80$	$80$	$80$	?	?	?	Non-Solvable - 6
501350400.a	$\ASigmaSp(4,4)$	$\ASigmaSp(4,4)$	$2^{17} \cdot 3^{2} \cdot 5^{2} \cdot 17$	$2^{4} \cdot 3 \cdot 5 \cdot 17$	$-1$	$1$	$10$	$2$	60			$4$	$C_1$	$\ASigmaSp(4,4)$	$C_2^8.\Sp(4,4)$	$C_{2}$	$2^{18} \cdot 3^{2} \cdot 5^{2} \cdot 17$	$2$	$256$	$256$	$255$	$255$	$255$	?	?	?	Non-Solvable - 10
5850000000.a	$C_5^4.\Sp(4,5)$	$\ASigmaSp(4,5)$	$2^{7} \cdot 3^{2} \cdot 5^{8} \cdot 13$	$2^{3} \cdot 3 \cdot 5 \cdot 13$	$-1$	$0$	$6$	$2$	110			$4$	$C_1$	$C_5^4.\Sp(4,5)$	$C_5^4.\Sp(4,5)$	$C_1$	$2^{9} \cdot 3^{2} \cdot 5^{8} \cdot 13$	$2^{2}$	$625$	$625$	$624$	$624$	$624$	?	?	?	Non-Solvable - 6

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