D₉×C₁₆₀₉ #44394223

order	28962
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₆₀₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₉×C₁₆₀₉
unambiguous semidirect product	C₉⋊(C₂×C₁₆₀₉)

Fitting, Hall	C₉×C₁₆₀₉ ⋊ C₂
derived, Sylow	C₉ ⋊ C₂×C₁₆₀₉

	subgroup	G/H
center, hypercenter	C₁₆₀₉	D₉
commutator, cosocle, hypocenter	C₉	C₂×C₁₆₀₉
Frattini	C₃	D₃×C₁₆₀₉
Fitting	C₉×C₁₆₀₉	C₂
socle	C₃×C₁₆₀₉	D₃
LCS	G ▷ C₉
UCS	C₁ ◁ C₁₆₀₉

12 conjugacy classes of subgroups.

μ_t(G) = 14481

9654 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(28962, 4);