C₂²×C₄⋊#13107944 #38787176

order	25664
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

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

Fitting	C₂²×C₄×C₄₀₁ ⋊ C₄
Sylow	C₄₀₁ ⋊ C₂²×C₄⋊C₄

418 conjugacy classes of subgroups.

μ_t(G) = 6416

1640 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25664, 1611);