D₉×C₁₉×C₁₀₁ #46828804

order	34542
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₉×C₁₀₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₉×C₁₉×C₁₀₁
unambiguous semidirect product	C₉⋊(C₂×C₁₉×C₁₀₁)

	subgroup	G/H
center, hypercenter	C₁₉×C₁₀₁	D₉
commutator, cosocle, hypocenter	C₉	C₂×C₁₉×C₁₀₁
Frattini	C₃	D₃×C₁₉×C₁₀₁
Fitting	C₉×C₁₉×C₁₀₁	C₂
socle	C₃×C₁₉×C₁₀₁	D₃
LCS	G ▷ C₉
UCS	C₁ ◁ C₁₉×C₁₀₁

24 conjugacy classes of subgroups.

μ_t(G) = 17271

11514 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34542, 6);