C₃×D₅×C₂₃×C₄₃ #44445795

order	29670
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₂₃×C₄₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×D₅×C₂₃×C₄₃
unambiguous semidirect product	C₅⋊(C₂×C₃×C₂₃×C₄₃)

	subgroup	G/H
center, hypercenter	C₃×C₂₃×C₄₃	D₅
commutator, cosocle, hypocenter	C₅	C₂×C₃×C₂₃×C₄₃
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₂₃×C₄₃	C₂
LCS	G ▷ C₅
UCS	C₁ ◁ C₃×C₂₃×C₄₃

32 conjugacy classes of subgroups.

μ_t(G) = 14835

11868 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29670, 6);