C₇₃×C₁₀₉⋊C₃ #37558870

order	23871
automorphism	?
homology	Abelianization (H₁) = C₃×C₇₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₇₃×C₁₀₉⋊C₃
unambiguous semidirect product	C₁₀₉⋊(C₃×C₇₃)

Fitting, socle, Hall	C₇₃×C₁₀₉ ⋊ C₃
derived, Sylow	C₁₀₉ ⋊ C₃×C₇₃

	subgroup	G/H
center, hypercenter	C₇₃	C₁₀₉⋊C₃
commutator, cosocle, hypocenter	C₁₀₉	C₃×C₇₃
Frattini	C₁	G
Fitting, socle	C₇₃×C₁₀₉	C₃
LCS	G ▷ C₁₀₉
UCS	C₁ ◁ C₇₃

8 conjugacy classes of subgroups.

μ_t(G) = 7957

2847 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23871, 2);