C₄⋊Q₈×D₃₁₇ #35203764

order	20288
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁵

Aliases

C₄⋊Q₈×D₃₁₇

Fitting	C₄⋊Q₈×C₃₁₇ ⋊ C₂
Sylow	C₃₁₇ ⋊ C₂×C₄⋊Q₈

290 conjugacy classes of subgroups.

μ_t(G) = 10144

2240 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20288, 1090);