C₂×C₄×C₈×D₁₃₉ #31814803

order	17792
isoclinism	isoclinic class of D₁₃₉
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄×C₈ · Schur multiplier (H₂) = C₂⁵×C₄

Aliases

C₂×C₄×C₈×D₁₃₉

Fitting	C₂×C₄×C₈×C₁₃₉ ⋊ C₂
derived, Sylow	C₁₃₉ ⋊ C₂²×C₄×C₈

760 conjugacy classes of subgroups.

μ_t(G) = 8896

4544 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17792, 12909);