C₄₁×C₁₉₃⋊C₃ #37557601

order	23739
automorphism	?
homology	Abelianization (H₁) = C₃×C₄₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₄₁×C₁₉₃⋊C₃
unambiguous semidirect product	C₁₉₃⋊(C₃×C₄₁)
unambiguous semidirect product	(C₄₁×C₁₉₃)⋊C₃

Fitting, socle, Hall	C₄₁×C₁₉₃ ⋊ C₃
derived, Sylow	C₁₉₃ ⋊ C₃×C₄₁

	subgroup	G/H
center, hypercenter	C₄₁	C₁₉₃⋊C₃
commutator, cosocle, hypocenter	C₁₉₃	C₃×C₄₁
Frattini	C₁	G
Fitting, socle	C₄₁×C₁₉₃	C₃
LCS	G ▷ C₁₉₃
UCS	C₁ ◁ C₄₁

8 conjugacy classes of subgroups.

μ_t(G) = 7913

2747 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23739, 1);