C₂×Q₈×#14523266 #45656303

order	32576
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁵

Aliases

direct product	C₂×Q₈×#14523266
unambiguous semidirect product	D₅₀₉⋊(C₄×Q₈)

Fitting	C₂×Q₈×C₅₀₉ ⋊ C₄
Sylow	C₅₀₉ ⋊ C₂×C₄×Q₈

298 conjugacy classes of subgroups.

μ_t(G) = 8144

1310 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32576, 1614);