C₂×C₈×#14523266 #45656192

order	32576
automorphism	?
homology	Abelianization (H₁) = C₂×C₄×C₈ · Schur multiplier (H₂) = C₂²×C₄

Aliases

Fitting	C₂×C₈×C₅₀₉ ⋊ C₄
derived, Sylow	C₅₀₉ ⋊ C₂×C₄×C₈

162 conjugacy classes of subgroups.

μ_t(G) = 8144

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32576, 1503);