C₃×C₁₉×D₂₆₉ #44501498

order	30666
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×C₁₉×D₂₆₉
unambiguous semidirect product	C₂₆₉⋊(C₂×C₃×C₁₉)

	subgroup	G/H
center, hypercenter	C₃×C₁₉	D₂₆₉
commutator, cosocle, hypocenter	C₂₆₉	C₂×C₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₁₉×C₂₆₉	C₂
LCS	G ▷ C₂₆₉
UCS	C₁ ◁ C₃×C₁₉

16 conjugacy classes of subgroups.

μ_t(G) = 15333

7752 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30666, 3);