C₂×C₄₇×D₇⋊C₉ #26044868

order	11844
isoclinism	isoclinic class of AGL(1,𝔽₇)
automorphism	?
homology	Abelianization (H₁) = C₂²×C₉×C₄₇ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₄₇×D₇⋊C₉
unambiguous semidirect product	D₇⋊(C₂×C₉×C₄₇)
unambiguous semidirect product	(C₂×D₇)⋊(C₉×C₄₇)
unambiguous semidirect product	(C₇⋊C₉)⋊(C₂²×C₄₇)
unambiguous semidirect product	(C₂×C₇⋊C₉)⋊(C₂×C₄₇)
unambiguous semidirect product	(C₂×D₇×C₄₇)⋊C₉

60 conjugacy classes of subgroups.

1974 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11844, 15);