C₂³×D₁₈₁⋊C₈ #37550705

order	23168
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₈ · Schur multiplier (H₂) = C₂¹⁰

Aliases

direct product	C₂³×D₁₈₁⋊C₈
unambiguous semidirect product	D₁₈₁⋊(C₂³×C₈)

C₁₈₁ ⋊ C₂⁴×C₈

1976 conjugacy classes of subgroups.

μ_t(G) = 11584

1568 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23168, 21494);