C₂×C₂²⋊C₈×D₂₅₁ #44558795

order	32128
automorphism	?
homology	Abelianization (H₁) = C₂³×C₈ · Schur multiplier (H₂) = C₂⁷

Aliases

C₂×C₂²⋊C₈×D₂₅₁

Fitting	C₂×C₂²⋊C₈×C₂₅₁ ⋊ C₂
Sylow	C₂₅₁ ⋊ C₂²×C₂²⋊C₈

1072 conjugacy classes of subgroups.

μ_t(G) = 8032

5080 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32128, 12940);