C₂×C₁₁×D₉×C₈₉ #47976491

order	35244
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₁×C₈₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₁₁×D₉×C₈₉
unambiguous semidirect product	C₉⋊(C₂²×C₁₁×C₈₉)
unambiguous semidirect product	(C₂×C₉)⋊(C₂×C₁₁×C₈₉)

	subgroup	G/H
center, hypercenter	C₂×C₁₁×C₈₉	D₉
commutator, cosocle, hypocenter	C₉	C₂²×C₁₁×C₈₉
Frattini	C₃	C₂×D₃×C₁₁×C₈₉
Fitting	C₂×C₉×C₁₁×C₈₉	C₂
socle	C₂×C₃×C₁₁×C₈₉	D₃
LCS	G ▷ C₉
UCS	C₁ ◁ C₂×C₁₁×C₈₉

60 conjugacy classes of subgroups.

μ_t(G) = 17622

11748 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35244, 37);