C₅×C₂₃×D₁₄₁ #44569864

order	32430
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₂₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₅×C₂₃×D₁₄₁
unambiguous semidirect product	C₃⋊(C₅×C₂₃×D₄₇)

	subgroup	G/H
center, hypercenter	C₅×C₂₃	D₁₄₁
commutator, cosocle, hypocenter	C₃×C₄₇	C₂×C₅×C₂₃
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₂₃×C₄₇	C₂
LCS	G ▷ C₃×C₄₇
UCS	C₁ ◁ C₅×C₂₃

32 conjugacy classes of subgroups.

μ_t(G) = 16215

8280 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32430, 11);