Finite Group Databasebeta

C3×#10620306 #14520231

order1968
automorphism?
homologyAbelianization (H1) = C23×C3 · Schur multiplier (H2) = C22

Aliases

direct productC3×#10620306

Splittings

FittingC2×C3×C4×C41 ⋊ C2
HallC3×C41 ⋊ #41
SylowC41 ⋊ C3×#41

Subgroups

subgroupG/H
centerC3×C4C2×D41
commutator, cosocleC2×C41C23×C3
FrattiniC2C22×C3×D41
FittingC2×C3×C4×C41C2
socleC2×C3×C41C23
hypercenterC2×C3×C4D41
hypocenterC41C3×#41
LCSG ▷ C2×C41 ▷ C41
UCSC1 ◁ C3×C4 ◁ C2×C3×C4

80 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 984

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1968, 154);