C₂³×C₄×#10624382 #37550691

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

Aliases

direct product	C₂³×C₄×#10624382
unambiguous semidirect product	D₁₈₁⋊(C₂²×C₄²)

Fitting	C₂³×C₄×C₁₈₁ ⋊ C₄
derived, Sylow	C₁₈₁ ⋊ C₂³×C₄²

3000 conjugacy classes of subgroups.

μ_t(G) = 5792

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23168, 21480);