Finite Group Databasebeta

C3×#21439425 #37523970

order22923
automorphism?
homologyAbelianization (H1) = C33 · Schur multiplier (H2) = C32

Aliases

direct productC3×#21439425

Splittings

FittingC3×C9×C283 ⋊ C3
SylowC283 ⋊ C3×3−1+2

Subgroups

subgroupG/H
centerC32C3×C283⋊C3
commutator, cosocleC3×C283C33
FrattiniC3C32×C283⋊C3
FittingC3×C9×C283C3
socleC32×C283C32
prime radicalC32×C283⋊C3C3
hypercenterC3×C9C283⋊C3
hypocenterC283C3×3−1+2
LCSG ▷ C3×C283 ▷ C283
UCSC1 ◁ C32 ◁ C3×C9

76 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 7641

Conjugacy classes & character table

2571 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22923, 43);