C₄₃⋊C₃×C₂₄₁ #44527287

order	31089
automorphism	?
homology	Abelianization (H₁) = C₃×C₂₄₁ · Schur multiplier (H₂) = C₁

Aliases

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

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

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

8 conjugacy classes of subgroups.

μ_t(G) = 10363

4097 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31089, 1);