C₂₃×D₁₅×C₄₇ #44569867

order	32430
automorphism	?
homology	Abelianization (H₁) = C₂×C₂₃×C₄₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₂₃×D₁₅×C₄₇
unambiguous semidirect product	C₃⋊(D₅×C₂₃×C₄₇)
unambiguous semidirect product	C₅⋊(D₃×C₂₃×C₄₇)

	subgroup	G/H
center, hypercenter	C₂₃×C₄₇	D₁₅
commutator, cosocle, hypocenter	C₃×C₅	C₂×C₂₃×C₄₇
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₂₃×C₄₇	C₂
LCS	G ▷ C₃×C₅
UCS	C₁ ◁ C₂₃×C₄₇

32 conjugacy classes of subgroups.

μ_t(G) = 16215

9729 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32430, 14);