Finite Group Databasebeta

D13×#3068 #16730317

order3328
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C29

Aliases

direct productD13×#3068

Splittings

FittingC13×#3068 ⋊ C2
SylowC13 ⋊ C2×#3068

Subgroups

subgroupG/H
centerC2C2×D13×#121
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3068C2
socleC2×C13C22×#121
hypercenter#3068D13
hypocenterC13C2×#3068
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2 ◁ C22×C4 ◁ #3068

2746 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 208

Conjugacy classes & character table

232 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1036966);