C₄⋊Q₈×D₅₄₁ #46830716

order	34624
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁵

Aliases

C₄⋊Q₈×D₅₄₁

Fitting	C₄⋊Q₈×C₅₄₁ ⋊ C₂
Sylow	C₅₄₁ ⋊ C₂×C₄⋊Q₈

290 conjugacy classes of subgroups.

μ_t(G) = 17312

3808 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34624, 1090);