C₂×C₄²×#10624382 #37550146

order	23168
automorphism	?
homology	Abelianization (H₁) = C₂×C₄³ · Schur multiplier (H₂) = C₂³×C₄³

Aliases

direct product	C₂×C₄²×#10624382
unambiguous semidirect product	D₁₈₁⋊C₄³

Fitting	C₂×C₄²×C₁₈₁ ⋊ C₄
derived, Sylow	C₁₈₁ ⋊ C₂×C₄³

1272 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, 20935);