Finite Group Databasebeta

C33×#11923957 #44535394

order31347
automorphism?
homologyAbelianization (H1) = C35 · Schur multiplier (H2) = C39

Aliases

direct productC33×#11923957

Splittings

FittingC33×C9×C43 ⋊ C3
SylowC43 ⋊ C33×3−1+2

Subgroups

subgroupG/H
centerC34C3×C43⋊C3
commutator, cosocleC3×C43C35
FrattiniC3C34×C43⋊C3
FittingC33×C9×C43C3
socleC34×C43C32
prime radicalC34×C43⋊C3C3
hypercenterC33×C9C43⋊C3
hypocenterC43C33×3−1+2
LCSG ▷ C3×C43 ▷ C43
UCSC1 ◁ C34 ◁ C33×C9

7208 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 10449

Conjugacy classes & character table

3699 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31347, 4017);