C₂×C₇×D₅⋊C₈ #11765342

order	1120
isoclinism	isoclinic class of AGL(1,𝔽₅)
automorphism	?
homology	Abelianization (H₁) = C₂²×C₇×C₈ · Schur multiplier (H₂) = C₂³

Aliases

direct product	C₂×C₇×D₅⋊C₈
unambiguous semidirect product	D₅⋊(C₂×C₇×C₈)

derived, Sylow	C₅ ⋊ C₂²×C₇×C₈
Hall	C₅×C₇ ⋊ C₂²×C₈

152 conjugacy classes of subgroups.

μ_t(G) = 560

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1120, 948);