Finite Group Databasebeta

C3×#21418807 #36376252

order22437
automorphism?
homologyAbelianization (H1) = C33 · Schur multiplier (H2) = C32

Aliases

direct productC3×#21418807

Splittings

SylowC277 ⋊ C3×3−1+2

Subgroups

subgroupG/H
centerC32C3×C277⋊C3
commutator, cosocleC3×C277C33
FrattiniC3C32×C277⋊C3
Fitting, prime radicalC33×C277C3
socleC32×C277C32
hypercenterC33C277⋊C3
hypocenterC277C3×3−1+2
LCSG ▷ C3×C277 ▷ C277
UCSC1 ◁ C32 ◁ C33

76 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 7479

Conjugacy classes & character table

2517 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22437, 45);