C₄⋊Q₈×D₄₄₃ #43248258

order	28352
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁵

Aliases

C₄⋊Q₈×D₄₄₃

Fitting	C₄⋊Q₈×C₄₄₃ ⋊ C₂
Sylow	C₄₄₃ ⋊ C₂×C₄⋊Q₈

290 conjugacy classes of subgroups.

μ_t(G) = 14176

3122 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(28352, 1090);