C₄⋊Q₈×D₃₃₇ #36341846

order	21568
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁵

Aliases

C₄⋊Q₈×D₃₃₇

Fitting	C₄⋊Q₈×C₃₃₇ ⋊ C₂
Sylow	C₃₃₇ ⋊ C₂×C₄⋊Q₈

290 conjugacy classes of subgroups.

μ_t(G) = 10784

2380 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21568, 1090);