C₂²×C₄⋊#14523266 #45656300

order	32576
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

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

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

418 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, 1611);