C₂×C₉₇×D₇⋊C₉ #37567776

order	24444
automorphism	?
homology	Abelianization (H₁) = C₂²×C₉×C₉₇ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₉₇×D₇⋊C₉
unambiguous semidirect product	D₇⋊(C₂×C₉×C₉₇)
unambiguous semidirect product	(C₂×D₇)⋊(C₉×C₉₇)
unambiguous semidirect product	(C₇⋊C₉)⋊(C₂²×C₉₇)
unambiguous semidirect product	(C₂×C₇⋊C₉)⋊(C₂×C₉₇)

60 conjugacy classes of subgroups.

μ_t(G) = 12222

4074 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24444, 39);