Finite Group Databasebeta

C3×#17987358 #28354735

order13851
automorphism?
homologyAbelianization (H1) = C32×C9 · Schur multiplier (H2) = C32

Aliases

direct productC3×#17987358

Splittings

SylowC19 ⋊ C3×#6875

Subgroups

subgroupG/H
centerC32#13095305
commutatorC9×C19C32×C9
FrattiniC3×C9C32×C19⋊C3
FittingC3×C19×C9⋊C9C3
socleC32×C19C9⋊C9
prime radicalC33×C193−1+2
cosocleC3×C9×C19C33
hypercenterC3×C9⋊C9C19⋊C3
hypocenterC19C3×#6875
LCSG ▷ C9×C19 ▷ C3×C19 ▷ C19
UCSC1 ◁ C32 ◁ C32×C9 ◁ C3×C9⋊C9

212 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1539

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13851, 2099);