C₃×C₅×C₃₁×D₂₃ #36339010

order	21390
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₅×C₃₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×C₅×C₃₁×D₂₃
unambiguous semidirect product	C₂₃⋊(C₂×C₃×C₅×C₃₁)

	subgroup	G/H
center, hypercenter	C₃×C₅×C₃₁	D₂₃
commutator, cosocle, hypocenter	C₂₃	C₂×C₃×C₅×C₃₁
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₂₃×C₃₁	C₂
LCS	G ▷ C₂₃
UCS	C₁ ◁ C₃×C₅×C₃₁

32 conjugacy classes of subgroups.

μ_t(G) = 10695

6045 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21390, 6);