Finite Group Databasebeta

D13×#2008 #15889908

order3328
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C27

Aliases

direct productD13×#2008

Splittings

FittingC13×#2008 ⋊ C2
SylowC13 ⋊ C2×#2008

Subgroups

subgroupG/H
centerC2D13×#392
commutator, cosocleC22×C4×C13C24
FrattiniC22×C4C23×D13
FittingC13×#2008C2
socleC2×C13C2×#392
hypercenter#2008D13
hypocenterC13C2×#2008
LCSG ▷ C22×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2 ◁ C22×C4 ◁ #2008

2118 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 208

Conjugacy classes & character table

184 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 196557);