C₄⋊Q₈×D₄₀₁ #38786655

order	25664
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁵

Aliases

C₄⋊Q₈×D₄₀₁

Fitting	C₄⋊Q₈×C₄₀₁ ⋊ C₂
Sylow	C₄₀₁ ⋊ C₂×C₄⋊Q₈

290 conjugacy classes of subgroups.

μ_t(G) = 12832

2828 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25664, 1090);