Finite Group Databasebeta

C9×#13095311 #28354604

order13851
automorphism?
homologyAbelianization (H1) = C3×C92 · Schur multiplier (H2) = C3×C9

Aliases

direct productC9×#13095311

Splittings

FittingC9×C19×C27 ⋊ C3
SylowC19 ⋊ C9×C27⋊C3

Subgroups

subgroupG/H
centerC92C3×C19⋊C3
commutatorC3×C19C3×C92
FrattiniC3×C9C32×C19⋊C3
FittingC9×C19×C27C3
socleC32×C19C32×C9
prime radicalC32×C19⋊C3C3×C9
cosocleC3×C9×C19C33
hypercenterC9×C27C19⋊C3
hypocenterC19C9×C27⋊C3
LCSG ▷ C3×C19 ▷ C19
UCSC1 ◁ C92 ◁ C9×C27

320 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 4617

Conjugacy classes & character table

1755 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13851, 1968);