Finite Group Databasebeta

C3×D328 #14520113

order1968
automorphism?
homologyAbelianization (H1) = C22×C3 · Schur multiplier (H2) = C2

Aliases

direct productC3×D328

Splittings

FittingC3×C8×C41 ⋊ C2
HallC3×C41 ⋊ D8
SylowC41 ⋊ C3×D8

Subgroups

subgroupG/H
centerC2×C3D164
commutator, cosocleC4×C41C22×C3
FrattiniC4C2×C3×D41
FittingC3×C8×C41C2
socleC2×C3×C41D4
hypercenterC3×C8D41
hypocenterC41C3×D8
LCSG ▷ C4×C41 ▷ C2×C41 ▷ C41
UCSC1 ◁ C2×C3 ◁ C3×C4 ◁ C3×C8

44 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 984

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1968, 36);