Finite Group Databasebeta

C33×#11923958 #44535395

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

Aliases

direct productC33×#11923958

Splittings

SylowC43 ⋊ C33×3−1+2

Subgroups

subgroupG/H
centerC34C3×C43⋊C3
commutator, cosocleC3×C43C35
FrattiniC3C34×C43⋊C3
Fitting, prime radicalC35×C43C3
socleC34×C43C32
hypercenterC35C43⋊C3
hypocenterC43C33×3−1+2
LCSG ▷ C3×C43 ▷ C43
UCSC1 ◁ C34 ◁ C35

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, 4018);