Finite Group Databasebeta

Dic13×#568 #16726333

order3328
automorphism?
homologyAbelianization (H1) = C23×C42 · Schur multiplier (H2) = C28×C4

Aliases

direct productDic13×#568

Splittings

SylowC13 ⋊ C4×#568

Subgroups

subgroupG/H
center, FrattiniC2×C4C24×D13
commutatorC2×C13C23×C42
FittingC2×C13×#568C2
socleC22×C13C24×C4
prime radicalC22×C13×#41C22
cosocleC2×C4×C13C25
hypercenterC2×#568D13
hypocenterC13C4×#568
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ C2×#568

3250 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1032982);