C₅×D₃×C₂₃×C₃₇ #38784282

order	25530
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₂₃×C₃₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₅×D₃×C₂₃×C₃₇
unambiguous semidirect product	C₃⋊(C₂×C₅×C₂₃×C₃₇)

	subgroup	G/H
center, hypercenter	C₅×C₂₃×C₃₇	D₃
commutator, cosocle, hypocenter	C₃	C₂×C₅×C₂₃×C₃₇
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₂₃×C₃₇	C₂
LCS	G ▷ C₃
UCS	C₁ ◁ C₅×C₂₃×C₃₇

32 conjugacy classes of subgroups.

μ_t(G) = 12765

12765 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25530, 10);