Finite Group Databasebeta

C43⋊C3×#6855 #44532232

order31347
automorphism?
homologyAbelianization (H1) = C3×C92 · Schur multiplier (H2) = C35

Aliases

direct productC43⋊C3×#6855

Splittings

FittingC43×#6855 ⋊ C3
SylowC43 ⋊ C3×#6855

Subgroups

subgroupG/H
center, FrattiniC33C32×C43⋊C3
commutatorC3×C43C3×C92
FittingC43×#6855C3
socle, cosocleC33×C43C33
prime radicalC33×C43⋊C3C32
hypercenter#6855C43⋊C3
hypocenterC43C3×#6855
LCSG ▷ C3×C43 ▷ C43
UCSC1 ◁ C33 ◁ #6855

1052 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 10449

Conjugacy classes & character table

1683 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31347, 855);