Abstract group search results

Results (7 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	$C_2^4:S_6$	$\ASp(4,2)$	$2^{8} \cdot 3^{2} \cdot 5$	$2^{3} \cdot 3 \cdot 5$	$-1$	$1$	$6$	$2$	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	$C_3^4:\Sp(4,3)$	$\ASp(4,3)$	$2^{7} \cdot 3^{8} \cdot 5$	$2^{3} \cdot 3^{2} \cdot 5$	$-1$	$0$	$6$	$2$	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
92897280.a	$C_2^6.\Sp(6,2)$	$\ASp(6,2)$	$2^{15} \cdot 3^{4} \cdot 5 \cdot 7$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 7$	$-1$	$0$	$7$	$2$	67			$3$	$C_1$	$C_2^6.\Sp(6,2)$	$C_2^6.\Sp(6,2)$	$C_1$	$2^{16} \cdot 3^{4} \cdot 5 \cdot 7$	$2$	$64$	$64$	$63$	$63$	$63$	?	?	?	Non-Solvable - 7
250675200.a	$C_2^8.\Sp(4,4)$	$\ASp(4,4)$	$2^{16} \cdot 3^{2} \cdot 5^{2} \cdot 17$	$2^{3} \cdot 3 \cdot 5 \cdot 17$	$-1$	$0$	$9$	$2$	57			$3$	$C_1$	$C_2^8.\Sp(4,4)$	$C_2^8.\Sp(4,4)$	$C_1$	$2^{19} \cdot 3^{3} \cdot 5^{2} \cdot 17$	$2^{3} \cdot 3$	$256$	$256$	$255$	$255$	$255$	?	?	?	Non-Solvable - 9
5850000000.a	$C_5^4.\Sp(4,5)$	$\ASp(4,5)$	$2^{7} \cdot 3^{2} \cdot 5^{8} \cdot 13$	$2^{3} \cdot 3 \cdot 5 \cdot 13$	$-1$	$0$	$6$	$2$	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
6685442749440.a	$C_3^6.\Sp(6,3)$	$\ASp(6,3)$	$2^{10} \cdot 3^{15} \cdot 5 \cdot 7 \cdot 13$	$2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13$	$-1$	$0$	$8$	$2$	267			$4$	$C_1$	$C_3^6.\Sp(6,3)$	$C_3^6.\Sp(6,3)$	$C_1$	$2^{11} \cdot 3^{15} \cdot 5 \cdot 7 \cdot 13$	$2$	$729$	$729$	$728$	?	?	?	?	?	Non-Solvable - 8
12128668876800.a	$C_2^8.\Sp(8,2)$	$\ASp(8,2)$	$2^{24} \cdot 3^{5} \cdot 5^{2} \cdot 7 \cdot 17$	$2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17$	$-1$	$0$	$9$	$2$	195			$3$	$C_1$	$C_2^8.\Sp(8,2)$	$C_2^8.\Sp(8,2)$	$C_1$	$2^{25} \cdot 3^{5} \cdot 5^{2} \cdot 7 \cdot 17$	$2$	$256$	$256$	$255$	?	?	?	?	?	Non-Solvable - 9

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