C₃×D₃×D₅₅₁ #34090686

order	19836
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₃×D₃×D₅₅₁
unambiguous semidirect product	(D₃×C₂₉)⋊(C₃×D₁₉)

	subgroup	G/H
center, hypercenter	C₃	D₃×D₅₅₁
commutator, cosocle, hypocenter	C₃×C₁₉×C₂₉	C₂²×C₃
Frattini	C₁	G
Fitting, socle	C₃²×C₁₉×C₂₉	C₂²
LCS	G ▷ C₃×C₁₉×C₂₉
UCS	C₁ ◁ C₃

88 conjugacy classes of subgroups.

μ_t(G) = 3306

2493 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19836, 102);