C₄⋊Q₈×D₄₇₉ #44500936

order	30656
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁵

Aliases

C₄⋊Q₈×D₄₇₉

Fitting	C₄⋊Q₈×C₄₇₉ ⋊ C₂
Sylow	C₄₇₉ ⋊ C₂×C₄⋊Q₈

290 conjugacy classes of subgroups.

μ_t(G) = 15328

3374 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30656, 1090);