Abstract group search results

Results (4 matches)

  Download displayed columns for results to

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
27.3	$\He_3$	$\He_{3}$	$3^{3}$	$3$	$2$	$2$	$3$	$2$	11	$19$	$11$	$7$	$C_3$	$C_3^2$	$C_3$	$C_{3}^{2}$	$2^{4} \cdot 3^{3}$	$2^{4} \cdot 3$	$9$	$9$	$3$	$6$	$6$	$3$	$6$	$6$	Nilpotent - 2
125.3	$\He_5$	$\He_{5}$	$5^{3}$	$5$	$2$	$2$	$3$	$2$	29	$39$	$15$	$9$	$C_5$	$C_5^2$	$C_5$	$C_{5}^{2}$	$2^{5} \cdot 3 \cdot 5^{3}$	$2^{5} \cdot 3 \cdot 5$	$25$	$25$	$5$	$10$	$20$	$5$	$10$	$20$	Nilpotent - 2
343.3	$\He_7$	$\He_{7}$	$7^{3}$	$7$	$2$	$2$	$3$	$2$	55	$67$	$19$	$11$	$C_7$	$C_7^2$	$C_7$	$C_{7}^{2}$	$2^{5} \cdot 3^{2} \cdot 7^{3}$	$2^{5} \cdot 3^{2} \cdot 7$	$49$	$49$	$7$	$14$	$42$	$7$	$14$	$42$	Nilpotent - 2
1331.3	$\He_{11}$	$\He_{11}$	$11^{3}$	$11$	$2$	$2$	$3$	$2$	131	$147$	$27$	$15$	$C_{11}$	$C_{11}^2$	$C_{11}$	$C_{11}^{2}$	$2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{3}$	$2^{4} \cdot 3 \cdot 5^{2} \cdot 11$	$121$	$121$	$11$	$22$	$110$	$11$	$22$	$110$	Nilpotent - 2

  Download displayed columns for results to