C₁₇×D₉×C₁₀₉ #45688663

order	33354
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₇×C₁₀₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₇×D₉×C₁₀₉
unambiguous semidirect product	C₉⋊(C₂×C₁₇×C₁₀₉)

	subgroup	G/H
center, hypercenter	C₁₇×C₁₀₉	D₉
commutator, cosocle, hypocenter	C₉	C₂×C₁₇×C₁₀₉
Frattini	C₃	D₃×C₁₇×C₁₀₉
Fitting	C₉×C₁₇×C₁₀₉	C₂
socle	C₃×C₁₇×C₁₀₉	D₃
LCS	G ▷ C₉
UCS	C₁ ◁ C₁₇×C₁₀₉

24 conjugacy classes of subgroups.

μ_t(G) = 16677

11118 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33354, 6);