C₂×C₃×D₃×C₇×C₈₉ #36375940

order	22428
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₇×C₈₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₃×D₃×C₇×C₈₉
unambiguous semidirect product	C₃⋊(C₂²×C₃×C₇×C₈₉)
unambiguous semidirect product	(C₂×C₃)⋊(C₂×C₃×C₇×C₈₉)

	subgroup	G/H
center, hypercenter	C₂×C₃×C₇×C₈₉	D₃
commutator, cosocle, hypocenter	C₃	C₂²×C₃×C₇×C₈₉
Frattini	C₁	G
Fitting, socle	C₂×C₃²×C₇×C₈₉	C₂
LCS	G ▷ C₃
UCS	C₁ ◁ C₂×C₃×C₇×C₈₉

88 conjugacy classes of subgroups.

μ_t(G) = 7476

11214 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22428, 122);