Finite Group Databasebeta

D13×#2010 #15889933

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

Aliases

direct productD13×#2010

Splittings

FittingC13×#2010 ⋊ C2
SylowC13 ⋊ C2×#2010

Subgroups

subgroupG/H
centerC4D13×#127
commutator, cosocleC22×C4×C13C24
FrattiniC22×C4C23×D13
FittingC13×#2010C2
socleC2×C13C2×#392
hypercenter#2010D13
hypocenterC13C2×#2010
LCSG ▷ C22×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C4 ◁ C22×C4 ◁ #2010

2190 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 208

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, 196582);