C₄⋊Q₈×D₃₈₃ #37588892

order	24512
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁵

Aliases

C₄⋊Q₈×D₃₈₃

Fitting	C₄⋊Q₈×C₃₈₃ ⋊ C₂
Sylow	C₃₈₃ ⋊ C₂×C₄⋊Q₈

290 conjugacy classes of subgroups.

μ_t(G) = 12256

2702 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24512, 1090);