C₃×C₁₃×D₁₁×C₄₁ #47976004

order	35178
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₃×C₄₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×C₁₃×D₁₁×C₄₁
unambiguous semidirect product	C₁₁⋊(C₂×C₃×C₁₃×C₄₁)

	subgroup	G/H
center, hypercenter	C₃×C₁₃×C₄₁	D₁₁
commutator, cosocle, hypocenter	C₁₁	C₂×C₃×C₁₃×C₄₁
Frattini	C₁	G
Fitting, socle	C₃×C₁₁×C₁₃×C₄₁	C₂
LCS	G ▷ C₁₁
UCS	C₁ ◁ C₃×C₁₃×C₄₁

32 conjugacy classes of subgroups.

μ_t(G) = 17589

11193 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35178, 6);