C₂²×C₂²⋊#14523266 #45656299

order	32576
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁷

Aliases

direct product	C₂²×C₂²⋊#14523266
unambiguous semidirect product	D₅₀₉⋊(C₂×C₂²⋊C₄)
unambiguous semidirect product	(C₂×#14523266)⋊C₂³

Fitting	C₂⁴×C₅₀₉ ⋊ C₄
Sylow	C₅₀₉ ⋊ C₂²×C₂²⋊C₄

674 conjugacy classes of subgroups.

μ_t(G) = 8144

2072 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32576, 1610);