Finite Group Databasebeta

C3×#23782822 #44534720

order31347
automorphism?
homologyAbelianization (H1) = C34 · Schur multiplier (H2) = C35

Aliases

direct productC3×#23782822

Splittings

SylowC43 ⋊ C3×#6895

Subgroups

subgroupG/H
centerC33C32×C43⋊C3
commutator, cosocleC32×C43C34
FrattiniC32C33×C43⋊C3
FittingC33×C9×C43C3
socleC33×C43C33
prime radicalC34×C43C32
hypercenterC33×C9C43⋊C3
hypocenterC43C3×#6895
LCSG ▷ C32×C43 ▷ C43
UCSC1 ◁ C33 ◁ C33×C9

836 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, 3343);