C₄₃×C₂₄₁⋊C₃ #44527288

order	31089
automorphism	?
homology	Abelianization (H₁) = C₃×C₄₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₄₃×C₂₄₁⋊C₃
unambiguous semidirect product	C₂₄₁⋊(C₃×C₄₃)

Fitting, socle, Hall	C₄₃×C₂₄₁ ⋊ C₃
derived, Sylow	C₂₄₁ ⋊ C₃×C₄₃

	subgroup	G/H
center, hypercenter	C₄₃	C₂₄₁⋊C₃
commutator, cosocle, hypocenter	C₂₄₁	C₃×C₄₃
Frattini	C₁	G
Fitting, socle	C₄₃×C₂₄₁	C₃
LCS	G ▷ C₂₄₁
UCS	C₁ ◁ C₄₃

8 conjugacy classes of subgroups.

μ_t(G) = 10363

3569 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31089, 2);