C₅×C₇×D₉×C₃₇ #37551994

order	23310
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₇×C₃₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₅×C₇×D₉×C₃₇
unambiguous semidirect product	C₉⋊(C₂×C₅×C₇×C₃₇)

	subgroup	G/H
center, hypercenter	C₅×C₇×C₃₇	D₉
commutator, cosocle, hypocenter	C₉	C₂×C₅×C₇×C₃₇
Frattini	C₃	C₅×D₃×C₇×C₃₇
Fitting	C₅×C₇×C₉×C₃₇	C₂
socle	C₃×C₅×C₇×C₃₇	D₃
LCS	G ▷ C₉
UCS	C₁ ◁ C₅×C₇×C₃₇

48 conjugacy classes of subgroups.

μ_t(G) = 11655

7770 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23310, 13);