C₄⋊Q₈×D₅₀₃ #44566822

order	32192
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁵

Aliases

C₄⋊Q₈×D₅₀₃

Fitting	C₄⋊Q₈×C₅₀₃ ⋊ C₂
Sylow	C₅₀₃ ⋊ C₂×C₄⋊Q₈

290 conjugacy classes of subgroups.

μ_t(G) = 16096

3542 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32192, 1090);