Finite Group Databasebeta

C43⋊C3×#6913 #44535318

order31347
automorphism?
homologyAbelianization (H1) = C34 · Schur multiplier (H2) = C36

Aliases

direct productC43⋊C3×#6913

Splittings

FittingC43×#6913 ⋊ C3
SylowC43 ⋊ C3×#6913

Subgroups

subgroupG/H
centerC3C3×H(3,𝔽3)×C43⋊C3
commutator, cosocleC32×C43C34
FrattiniC32C33×C43⋊C3
FittingC43×#6913C3
socleC3×C43C32×H(3,𝔽3)
hypercenter#6913C43⋊C3
hypocenterC43C3×#6913
LCSG ▷ C32×C43 ▷ C3×C43 ▷ C43
UCSC1 ◁ C3 ◁ C3×C9 ◁ #6913

992 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1161

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, 3941);