C₄⋊Q₈×D₂₂₃ #28384121

order	14272
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁵

Aliases

C₄⋊Q₈×D₂₂₃

Fitting	C₄⋊Q₈×C₂₂₃ ⋊ C₂
Sylow	C₂₂₃ ⋊ C₂×C₄⋊Q₈

290 conjugacy classes of subgroups.

μ_t(G) = 7136

1582 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14272, 1090);