C₂²×C₄×#14523266 #45656298

order	32576
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁵×C₄

Aliases

direct product	C₂²×C₄×#14523266
unambiguous semidirect product	D₅₀₉⋊(C₂×C₄²)

Fitting	C₂²×C₄×C₅₀₉ ⋊ C₄
derived, Sylow	C₅₀₉ ⋊ C₂²×C₄²

498 conjugacy classes of subgroups.

μ_t(G) = 8144

2096 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32576, 1609);