Finite Group Databasebeta

C3×#23782714 #44533371

order31347
automorphism?
homologyAbelianization (H1) = C32×C9 · Schur multiplier (H2) = C34

Aliases

direct productC3×#23782714

Splittings

SylowC43 ⋊ C3×#6867

Subgroups

subgroupG/H
centerC33C32⋊(C43⋊C3)
commutatorC32×C43C32×C9
FrattiniC33C32×C43⋊C3
FittingC33×C9×C43C3
socleC33×C43H(3,𝔽3)
prime radicalC34×C43C32
cosocleC33×C43C33
hypercenterC33×C9C43⋊C3
hypocenterC43C3×#6867
LCSG ▷ C32×C43 ▷ C3×C43 ▷ C43
UCSC1 ◁ C33 ◁ C34 ◁ C33×C9

476 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 10449

Conjugacy classes & character table

3555 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31347, 1994);