Finite Group Databasebeta

C3×#17987555 #28356874

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

Aliases

direct productC3×#17987555

Splittings

SylowC19 ⋊ C3×#6864

Subgroups

subgroupG/H
centerC33C3×#4296
commutatorC3×C19C3×C92
FrattiniC32C32×#4296
FittingC32×C9×C19C9
socle, prime radicalC33×C19C3×C9
cosocleC3×#4294C33
hypercenterC32×C9#4296
hypocenterC19C3×#6864
LCSG ▷ C3×C19 ▷ C19
UCSC1 ◁ C33 ◁ C32×C9

332 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 13851

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13851, 4238);