Finite Group Databasebeta

C43⋊C3×#6894 #44534706

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

Aliases

direct productC43⋊C3×#6894

Splittings

FittingC43×#6894 ⋊ C3
SylowC43 ⋊ C3×#6894

Subgroups

subgroupG/H
center, FrattiniC32C33×C43⋊C3
commutator, socle, cosocleC32×C43C34
FittingC43×#6894C3
prime radicalC33×C43⋊C3C32
hypercenter#6894C43⋊C3
hypocenterC43C3×#6894
LCSG ▷ C32×C43 ▷ C43
UCSC1 ◁ C32 ◁ #6894

932 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3483

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31347, 3329);