Finite Group Databasebeta

C3×Dic164 #14520114

order1968
automorphism?
homologyAbelianization (H1) = C22×C3 · Schur multiplier (H2) = C1

Aliases

direct productC3×Dic164

Splittings

HallC3×C41 ⋊ Q16
SylowC41 ⋊ C3×Q16

Subgroups

subgroupG/H
centerC2×C3D164
commutator, cosocleC4×C41C22×C3
FrattiniC4C2×C3×D41
FittingC3×C8×C41C2
socle, prime radicalC2×C3×C41D4
hypercenterC3×C8D41
hypocenterC41C3×Q16
LCSG ▷ C4×C41 ▷ C2×C41 ▷ C41
UCSC1 ◁ C2×C3 ◁ C3×C4 ◁ C3×C8

36 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1968

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, 37);