Finite Group Databasebeta

Dic13×#360 #15778169

order3328
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4

Aliases

direct productDic13×#360

Splittings

SylowC13 ⋊ C4×#360

Subgroups

subgroupG/H
centerC22D13×#102
commutatorC8×C13C2×C42
FrattiniC22×C8C22×D13
FittingC2×C13×#360C2
socleC22×C13C2×#102
prime radicalC2×C13×#135C22
cosocleC22×C8×C13C23
hypercenterC2×#360D13
hypocenterC13C4×#360
LCSG ▷ C8×C13 ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22×C8 ◁ C2×#360

466 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

256 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 84818);