Finite Group Databasebeta

Dic13×#346 #15777739

order3328
automorphism?
homologyAbelianization (H1) = C42×C8 · Schur multiplier (H2) = C2×C42

Aliases

direct productDic13×#346

Splittings

SylowC13 ⋊ C4×#346

Subgroups

subgroupG/H
center, FrattiniC22×C8C22×D13
commutatorC2×C13C42×C8
FittingC2×C13×#346C2
socle, prime radicalC23×C13C22×C8
cosocleC22×C8×C13C23
hypercenterC2×#346D13
hypocenterC13C4×#346
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C22×C8 ◁ C2×#346

510 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3328

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 84388);