Finite Group Databasebeta

C43⋊C3×#6862 #44532455

order31347
automorphism?
homologyAbelianization (H1) = C33 · Schur multiplier (H2) = C33

Aliases

direct productC43⋊C3×#6862

Splittings

FittingC43×#6862 ⋊ C3
SylowC43 ⋊ C3×#6862

Subgroups

subgroupG/H
centerC32H(3,𝔽3)×C43⋊C3
commutator, cosocleC33×C43C33
FrattiniC33C32×C43⋊C3
FittingC43×#6862C3
socleC32×C43C3×H(3,𝔽3)
prime radicalC33×C43⋊C3C32
hypercenter#6862C43⋊C3
hypocenterC43C3×#6862
LCSG ▷ C33×C43 ▷ C32×C43 ▷ C43
UCSC1 ◁ C32 ◁ C33 ◁ #6862

284 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3483

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31347, 1078);