C₅×C₄₇×D₆₉ #44569865

order	32430
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₄₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₅×C₄₇×D₆₉
unambiguous semidirect product	C₃⋊(C₅×D₂₃×C₄₇)
unambiguous semidirect product	C₂₃⋊(C₅×D₃×C₄₇)

	subgroup	G/H
center, hypercenter	C₅×C₄₇	D₆₉
commutator, cosocle, hypocenter	C₃×C₂₃	C₂×C₅×C₄₇
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₂₃×C₄₇	C₂
LCS	G ▷ C₃×C₂₃
UCS	C₁ ◁ C₅×C₄₇

32 conjugacy classes of subgroups.

μ_t(G) = 16215

8460 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32430, 12);