C₂²×C₄×#13107944 #38787174

order	25664
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁵×C₄

Aliases

direct product	C₂²×C₄×#13107944
unambiguous semidirect product	D₄₀₁⋊(C₂×C₄²)

Fitting	C₂²×C₄×C₄₀₁ ⋊ C₄
derived, Sylow	C₄₀₁ ⋊ C₂²×C₄²

498 conjugacy classes of subgroups.

μ_t(G) = 6416

1664 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25664, 1609);