C₂×C₄×C₈×D₂₉ #16827891

order	3712
isoclinism	isoclinic class of D₂₉
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄×C₈ · Schur multiplier (H₂) = C₂⁵×C₄

Aliases

C₂×C₄×C₈×D₂₉

Fitting	C₂×C₄×C₈×C₂₉ ⋊ C₂
derived, Sylow	C₂₉ ⋊ C₂²×C₄×C₈

760 conjugacy classes of subgroups.

μ_t(G) = 1856

1024 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3712, 12909);