C₄⋊Q₈×D₃₈₉ #38734640

order	24896
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁵

Aliases

C₄⋊Q₈×D₃₈₉

Fitting	C₄⋊Q₈×C₃₈₉ ⋊ C₂
Sylow	C₃₈₉ ⋊ C₂×C₄⋊Q₈

290 conjugacy classes of subgroups.

μ_t(G) = 12448

2744 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24896, 1090);