Finite Group Databasebeta

Dic13×#347 #15777745

order3328
automorphism?
homologyAbelianization (H1) = C43 · Schur multiplier (H2) = C42

Aliases

direct productDic13×#347

Splittings

SylowC13 ⋊ C4×#347

Subgroups

subgroupG/H
centerC2×C4C42×D13
commutatorC4×C13C43
FrattiniC22×C8C22×D13
FittingC2×C13×#347C2
socleC22×C13C2×#97
prime radicalC23×C13C2×M16
cosocleC22×C8×C13C23
hypercenterC2×#347D13
hypocenterC13C4×#347
LCSG ▷ C4×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ C2×#347

418 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 84394);