C₃×C₅×C₃₇×D₂₃ #38784276

order	25530
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₅×C₃₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×C₅×C₃₇×D₂₃
unambiguous semidirect product	C₂₃⋊(C₂×C₃×C₅×C₃₇)

	subgroup	G/H
center, hypercenter	C₃×C₅×C₃₇	D₂₃
commutator, cosocle, hypocenter	C₂₃	C₂×C₃×C₅×C₃₇
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₂₃×C₃₇	C₂
LCS	G ▷ C₂₃
UCS	C₁ ◁ C₃×C₅×C₃₇

32 conjugacy classes of subgroups.

μ_t(G) = 12765

7215 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25530, 4);