C₂×C₂²⋊Q₈×D₁₆₃ #35227760

order	20864
automorphism	?
homology	Abelianization (H₁) = C₂⁵ · Schur multiplier (H₂) = C₂⁹

Aliases

C₂×C₂²⋊Q₈×D₁₆₃

Fitting	C₂×C₂²⋊Q₈×C₁₆₃ ⋊ C₂
Sylow	C₁₆₃ ⋊ C₂²×C₂²⋊Q₈

1840 conjugacy classes of subgroups.

μ_t(G) = 5216

2324 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20864, 17734);