C₂×C₄×#16860937 #44567945

order	32288
automorphism	?
homology	Abelianization (H₁) = C₂×C₄² · Schur multiplier (H₂) = C₂²×C₄

Aliases

direct product	C₂×C₄×#16860937
unambiguous semidirect product	D₁₀₀₉⋊C₄²

Fitting	C₂×C₄×C₁₀₀₉ ⋊ C₄
derived, Sylow	C₁₀₀₉ ⋊ C₂×C₄²

108 conjugacy classes of subgroups.

μ_t(G) = 8072

2048 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32288, 222);