C₂₉×C₂₇₁⋊C₃ #37556021

order	23577
automorphism	?
homology	Abelianization (H₁) = C₃×C₂₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₂₉×C₂₇₁⋊C₃
unambiguous semidirect product	C₂₇₁⋊(C₃×C₂₉)
unambiguous semidirect product	(C₂₉×C₂₇₁)⋊C₃

Fitting, socle, Hall	C₂₉×C₂₇₁ ⋊ C₃
derived, Sylow	C₂₇₁ ⋊ C₃×C₂₉

	subgroup	G/H
center, hypercenter	C₂₉	C₂₇₁⋊C₃
commutator, cosocle, hypocenter	C₂₇₁	C₃×C₂₉
Frattini	C₁	G
Fitting, socle	C₂₉×C₂₇₁	C₃
LCS	G ▷ C₂₇₁
UCS	C₁ ◁ C₂₉

8 conjugacy classes of subgroups.

μ_t(G) = 7859

2697 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23577, 1);