Finite Group Databasebeta

C3×#23782924 #44535406

order31347
automorphism?
homologyAbelianization (H1) = C35 · Schur multiplier (H2) = C39

Aliases

direct productC3×#23782924

Splittings

SylowC43 ⋊ C3×3−1+4

Subgroups

subgroupG/H
centerC32C33×C43⋊C3
commutator, cosocleC3×C43C35
FrattiniC3C34×C43⋊C3
Fitting, prime radicalC32×H(3,𝔽3)×C43C3
socleC32×C43C34
hypercenterC32×H(3,𝔽3)C43⋊C3
hypocenterC43C3×3−1+4
LCSG ▷ C3×C43 ▷ C43
UCSC1 ◁ C32 ◁ C32×H(3,𝔽3)

5588 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3483

Conjugacy classes & character table

1635 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31347, 4029);