C₄⋊Q₈×D₂₂₉ #28412022

order	14656
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁵

Aliases

C₄⋊Q₈×D₂₂₉

Fitting	C₄⋊Q₈×C₂₂₉ ⋊ C₂
Sylow	C₂₂₉ ⋊ C₂×C₄⋊Q₈

290 conjugacy classes of subgroups.

μ_t(G) = 7328

1624 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14656, 1090);