C₄⋊Q₈×D₅₀₉ #45655779

order	32576
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁵

Aliases

C₄⋊Q₈×D₅₀₉

Fitting	C₄⋊Q₈×C₅₀₉ ⋊ C₂
Sylow	C₅₀₉ ⋊ C₂×C₄⋊Q₈

290 conjugacy classes of subgroups.

μ_t(G) = 16288

3584 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32576, 1090);