C₄⋊Q₈×D₄₉₁ #44537266

order	31424
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁵

Aliases

C₄⋊Q₈×D₄₉₁

Fitting	C₄⋊Q₈×C₄₉₁ ⋊ C₂
Sylow	C₄₉₁ ⋊ C₂×C₄⋊Q₈

290 conjugacy classes of subgroups.

μ_t(G) = 15712

3458 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31424, 1090);