D₉×C₁₉₉₉ #49112691

order	35982
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₉₉₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₉×C₁₉₉₉
unambiguous semidirect product	C₉⋊(C₂×C₁₉₉₉)

Fitting, Hall	C₉×C₁₉₉₉ ⋊ C₂
derived, Sylow	C₉ ⋊ C₂×C₁₉₉₉

	subgroup	G/H
center, hypercenter	C₁₉₉₉	D₉
commutator, cosocle, hypocenter	C₉	C₂×C₁₉₉₉
Frattini	C₃	D₃×C₁₉₉₉
Fitting	C₉×C₁₉₉₉	C₂
socle	C₃×C₁₉₉₉	D₃
LCS	G ▷ C₉
UCS	C₁ ◁ C₁₉₉₉

12 conjugacy classes of subgroups.

μ_t(G) = 17991

11994 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35982, 4);