Finite Group Databasebeta

C9×#13095342 #28356877

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

Aliases

direct productC9×#13095342

Splittings

SylowC19 ⋊ C9×C27⋊C3

Subgroups

subgroupG/H
centerC3×C9C3×#4296
commutatorC3×C19C3×C92
FrattiniC32C32×#4296
FittingC32×C9×C19C9
socleC32×C19C32×C9
prime radicalC33×C19C3×C9
cosocleC3×#4294C33
hypercenterC32×C9#4296
hypocenterC19C9×C27⋊C3
LCSG ▷ C3×C19 ▷ C19
UCSC1 ◁ C3×C9 ◁ C32×C9

320 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 4617

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, 4241);