C₃×C₁₁×C₁₉×C₁₃⋊C₃ #37587394

order	24453
automorphism	?
homology	Abelianization (H₁) = C₃²×C₁₁×C₁₉ · Schur multiplier (H₂) = C₃

Aliases

direct product	C₃×C₁₁×C₁₉×C₁₃⋊C₃
unambiguous semidirect product	C₁₃⋊(C₃²×C₁₁×C₁₉)
unambiguous semidirect product	(C₃×C₁₃)⋊(C₃×C₁₁×C₁₉)
unambiguous semidirect product	(C₁₁×C₁₃)⋊(C₃²×C₁₉)
unambiguous semidirect product	(C₃×C₁₁×C₁₃)⋊(C₃×C₁₉)

	subgroup	G/H
center, hypercenter	C₃×C₁₁×C₁₉	C₁₃⋊C₃
commutator, cosocle, hypocenter	C₁₃	C₃²×C₁₁×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₁₁×C₁₃×C₁₉	C₃
LCS	G ▷ C₁₃
UCS	C₁ ◁ C₃×C₁₁×C₁₉

48 conjugacy classes of subgroups.

μ_t(G) = 8151

4389 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24453, 12);