D₉×C₁₈₈₉ #46800987

order	34002
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₈₈₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₉×C₁₈₈₉
unambiguous semidirect product	C₉⋊(C₂×C₁₈₈₉)

Fitting, Hall	C₉×C₁₈₈₉ ⋊ C₂
derived, Sylow	C₉ ⋊ C₂×C₁₈₈₉

	subgroup	G/H
center, hypercenter	C₁₈₈₉	D₉
commutator, cosocle, hypocenter	C₉	C₂×C₁₈₈₉
Frattini	C₃	D₃×C₁₈₈₉
Fitting	C₉×C₁₈₈₉	C₂
socle	C₃×C₁₈₈₉	D₃
LCS	G ▷ C₉
UCS	C₁ ◁ C₁₈₈₉

12 conjugacy classes of subgroups.

μ_t(G) = 17001

11334 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34002, 2);