C₄⋊Q₈×D₄₈₇ #44529591

order	31168
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁵

Aliases

C₄⋊Q₈×D₄₈₇

Fitting	C₄⋊Q₈×C₄₈₇ ⋊ C₂
Sylow	C₄₈₇ ⋊ C₂×C₄⋊Q₈

290 conjugacy classes of subgroups.

μ_t(G) = 15584

3430 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31168, 1090);