Finite Group Databasebeta

Dic13×#379 #15784126

order3328
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C28×C4

Aliases

direct productDic13×#379

Splittings

SylowC13 ⋊ C4×#379

Subgroups

subgroupG/H
center, FrattiniC24C23×D13
commutatorC22×C13C22×C42
FittingC2×C13×#379C2
socle, cosocleC24×C13C24
prime radicalC26×C13C22
hypercenterC2×#379D13
hypocenterC13C4×#379
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C24 ◁ C2×#379

6734 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 90775);