D₃×C₁₉×C₂₆₉ #44501501

order	30666
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₉×C₂₆₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₃×C₁₉×C₂₆₉
unambiguous semidirect product	C₃⋊(C₂×C₁₉×C₂₆₉)

	subgroup	G/H
center, hypercenter	C₁₉×C₂₆₉	D₃
commutator, cosocle, hypocenter	C₃	C₂×C₁₉×C₂₆₉
Frattini	C₁	G
Fitting, socle	C₃×C₁₉×C₂₆₉	C₂
LCS	G ▷ C₃
UCS	C₁ ◁ C₁₉×C₂₆₉

16 conjugacy classes of subgroups.

μ_t(G) = 15333

15333 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30666, 6);