C₄⋊Q₈×D₃₄₉ #36374685

order	22336
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁵

Aliases

C₄⋊Q₈×D₃₄₉

Fitting	C₄⋊Q₈×C₃₄₉ ⋊ C₂
Sylow	C₃₄₉ ⋊ C₂×C₄⋊Q₈

290 conjugacy classes of subgroups.

μ_t(G) = 11168

2464 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22336, 1090);