C₂²×D₅₀₉⋊C₈ #45656309

order	32576
automorphism	?
homology	Abelianization (H₁) = C₂³×C₈ · Schur multiplier (H₂) = C₂⁶

Aliases

direct product	C₂²×D₅₀₉⋊C₈
unambiguous semidirect product	D₅₀₉⋊(C₂²×C₈)

C₅₀₉ ⋊ C₂³×C₈

338 conjugacy classes of subgroups.

μ_t(G) = 16288

2096 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32576, 1620);