Finite Group Databasebeta

C19⋊C3×#6864 #28354599

order13851
automorphism?
homologyAbelianization (H1) = C3×C92 · Schur multiplier (H2) = C33

Aliases

direct productC19⋊C3×#6864

Splittings

FittingC19×#6864 ⋊ C3
SylowC19 ⋊ C3×#6864

Subgroups

subgroupG/H
center, FrattiniC3×C9C32×C19⋊C3
commutatorC3×C19C3×C92
FittingC19×#6864C3
socleC32×C19C32×C9
prime radicalC32×C19⋊C3C3×C9
cosocleC3×C9×C19C33
hypercenter#6864C19⋊C3
hypocenterC19C3×#6864
LCSG ▷ C3×C19 ▷ C19
UCSC1 ◁ C3×C9 ◁ #6864

332 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 4617

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13851, 1963);