C₄⋊Q₈×D₃₅₃ #36378328

order	22592
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁵

Aliases

C₄⋊Q₈×D₃₅₃

Fitting	C₄⋊Q₈×C₃₅₃ ⋊ C₂
Sylow	C₃₅₃ ⋊ C₂×C₄⋊Q₈

290 conjugacy classes of subgroups.

μ_t(G) = 11296

2492 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22592, 1090);