C₄⋊Q₈×D₅₂₁ #45687973

order	33344
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁵

Aliases

C₄⋊Q₈×D₅₂₁

Fitting	C₄⋊Q₈×C₅₂₁ ⋊ C₂
Sylow	C₅₂₁ ⋊ C₂×C₄⋊Q₈

290 conjugacy classes of subgroups.

μ_t(G) = 16672

3668 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33344, 1090);