Finite Group Databasebeta

C3×#26043126 #47975089

order35073
automorphism?
homologyAbelianization (H1) = C33 · Schur multiplier (H2) = C32

Aliases

direct productC3×#26043126

Splittings

FittingC3×C9×C433 ⋊ C3
SylowC433 ⋊ C3×3−1+2

Subgroups

subgroupG/H
centerC32C3×C433⋊C3
commutator, cosocleC3×C433C33
FrattiniC3C32×C433⋊C3
FittingC3×C9×C433C3
socleC32×C433C32
prime radicalC32×C433⋊C3C3
hypercenterC3×C9C433⋊C3
hypocenterC433C3×3−1+2
LCSG ▷ C3×C433 ▷ C433
UCSC1 ◁ C32 ◁ C3×C9

76 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 11691

Conjugacy classes & character table

3921 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35073, 44);