Abstract group search results

Note: Search results may be incomplete due to uncomputed quantities: Rank (230764 objects)

Results (3 matches)

 

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
1024.djt	$C_2^{10}$	$2^{10}$	$2$	$1$	$1$	$10$	$10$	$1024$	$229755605$	$229755605$	$229755605$	$C_2^{10}$	$C_1$	$C_1$	$C_{2}^{10}$	$2^{45} \cdot 3^{6} \cdot 5^{2} \cdot 7^{3} \cdot 11 \cdot 17 \cdot 31^{2} \cdot 73 \cdot 127$	$2^{45} \cdot 3^{6} \cdot 5^{2} \cdot 7^{3} \cdot 11 \cdot 17 \cdot 31^{2} \cdot 73 \cdot 127$	$1024$	$20$	$-$	?	$-$	$10$	?	?	Abelian - 10
2048.csi	$C_2^3\times C_2^5.C_2^3$	$2^{11}$	$2^{2}$	$2$	$2$	$11$	$10$	$1280$				$C_2^9$	$C_2^2$	$C_2$	$C_{2}^{10}$	$2^{55} \cdot 3^{5} \cdot 5^{2} \cdot 7^{2} \cdot 17 \cdot 31 \cdot 127$	$2^{53} \cdot 3^{5} \cdot 5^{2} \cdot 7^{2} \cdot 17 \cdot 31 \cdot 127$			$-$	?	$-$	?	?	?	Nilpotent - 2
8192.xj	$C_2^9.C_2^4$	$2^{13}$	$2^{2}$	$2$	$2$	$13$	$10$	$2816$				$C_2^9$	$C_2^4$	$C_2^3$	$C_{2}^{10}$	$2^{72} \cdot 3^{5} \cdot 5 \cdot 7^{3} \cdot 31$	$2^{68} \cdot 3^{5} \cdot 5 \cdot 7^{3} \cdot 31$			$-$	?	$-$	?	?	?	Nilpotent - 2