Finite Group Databasebeta

Dic13×#441 #15861422

order3328
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4

Aliases

direct productDic13×#441

Splittings

SylowC13 ⋊ C4×#441

Subgroups

subgroupG/H
centerC23C2×D4×D13
commutatorC4×C13C22×C42
FrattiniC22×C4C23×D13
FittingC2×C13×#441C2
socle, prime radicalC23×C13C22×D4
cosocleC22×C4×C13C24
hypercenterC2×#441D13
hypocenterC13C4×#441
LCSG ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#441

1086 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3328

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, 168071);