C₃×C₁₉×D₁₆₅ #34037902

order	18810
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×C₁₉×D₁₆₅
unambiguous semidirect product	C₃⋊(C₃×C₁₉×D₅₅)
unambiguous semidirect product	C₅⋊(C₃×C₁₉×D₃₃)
unambiguous semidirect product	C₁₁⋊(C₃×C₁₉×D₁₅)

	subgroup	G/H
center, hypercenter	C₃×C₁₉	D₁₆₅
commutator, cosocle, hypocenter	C₃×C₅×C₁₁	C₂×C₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₃²×C₅×C₁₁×C₁₉	C₂
LCS	G ▷ C₃×C₅×C₁₁
UCS	C₁ ◁ C₃×C₁₉

72 conjugacy classes of subgroups.

μ_t(G) = 6270

4788 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18810, 95);