Finite Group Databasebeta

D13×#2053 #15890832

order3328
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C26

Aliases

direct productD13×#2053

Splittings

FittingC13×#2053 ⋊ C2
SylowC13 ⋊ C2×#2053

Subgroups

subgroupG/H
centerC4D13×#124
commutator, cosocleC22×C4×C13C24
FrattiniC22×C4C23×D13
FittingC13×#2053C2
socleC2×C13C2×#394
prime radicalD13×#575C2
hypercenter#2053D13
hypocenterC13C2×#2053
LCSG ▷ C22×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C4 ◁ C22×C4 ◁ #2053

1366 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

Conjugacy classes & character table

208 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 197481);