Finite Group Databasebeta

Dic13×#454 #15868816

order3328
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26

Aliases

direct productDic13×#454

Splittings

SylowC13 ⋊ C4×#454

Subgroups

subgroupG/H
centerC22D13×#120
commutatorC2×C4×C13C23×C4
FrattiniC22×C4C23×D13
Fitting, prime radicalC2×C13×#454C2
socleC22×C13C2×#120
cosocleC22×C4×C13C24
hypercenterC2×#454D13
hypocenterC13C4×#454
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×#454

1390 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, 175465);