C₄⋊Q₈×D₄₃₁ #42119600

order	27584
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁵

Aliases

C₄⋊Q₈×D₄₃₁

Fitting	C₄⋊Q₈×C₄₃₁ ⋊ C₂
Sylow	C₄₃₁ ⋊ C₂×C₄⋊Q₈

290 conjugacy classes of subgroups.

μ_t(G) = 13792

3038 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(27584, 1090);