C₂²×C₄²×D₁₈₁ #37546875

order	23168
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄² · Schur multiplier (H₂) = C₂⁹×C₄

Aliases

C₂²×C₄²×D₁₈₁

Fitting	C₂²×C₄²×C₁₈₁ ⋊ C₂
derived, Sylow	C₁₈₁ ⋊ C₂³×C₄²

3000 conjugacy classes of subgroups.

μ_t(G) = 11584

5888 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23168, 17664);