C₃×C₁₃×D₁₁×C₂₃ #34089401

order	19734
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₃×C₂₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×C₁₃×D₁₁×C₂₃
unambiguous semidirect product	C₁₁⋊(C₂×C₃×C₁₃×C₂₃)

	subgroup	G/H
center, hypercenter	C₃×C₁₃×C₂₃	D₁₁
commutator, cosocle, hypocenter	C₁₁	C₂×C₃×C₁₃×C₂₃
Frattini	C₁	G
Fitting, socle	C₃×C₁₁×C₁₃×C₂₃	C₂
LCS	G ▷ C₁₁
UCS	C₁ ◁ C₃×C₁₃×C₂₃

32 conjugacy classes of subgroups.

μ_t(G) = 9867

6279 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19734, 8);