Finite Group Databasebeta

D13×#1883 #15864413

order3328
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C27

Aliases

direct productD13×#1883

Splittings

FittingC13×#1883 ⋊ C2
SylowC13 ⋊ C2×#1883

Subgroups

subgroupG/H
centerC22D13×#120
commutatorC2×C4×C13C23×C4
FrattiniC22×C4C23×D13
FittingC13×#1883C2
socleC22×C13C2×#120
prime radicalC2×D13×AGL(1,ℤ/8)C2
cosocleC22×C4×C13C24
hypercenter#1883D13
hypocenterC13C2×#1883
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C22×C4 ◁ #1883

2018 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

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, 171062);