Finite Group Databasebeta

D13×#3067 #16730308

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

Aliases

direct productD13×#3067

Splittings

FittingC13×#3067 ⋊ C2
SylowC13 ⋊ C2×#3067

Subgroups

subgroupG/H
centerC4D13×#121
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3067C2
socleC2×C13C22×#121
hypercenter#3067D13
hypocenterC13C2×#3067
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C4 ◁ C22×C4 ◁ #3067

2650 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, 1036957);