C₄⋊Q₈×D₅₂₃ #45690746

order	33472
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁵

Aliases

C₄⋊Q₈×D₅₂₃

Fitting	C₄⋊Q₈×C₅₂₃ ⋊ C₂
Sylow	C₅₂₃ ⋊ C₂×C₄⋊Q₈

290 conjugacy classes of subgroups.

μ_t(G) = 16736

3682 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33472, 1090);