Finite Group Databasebeta

D13×#3417 #16769440

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

Aliases

direct productD13×#3417

Splittings

FittingC13×#3417 ⋊ C2
SylowC13 ⋊ C2×#3417

Subgroups

subgroupG/H
centerC2C22×D8×D13
commutator, cosocleC8×C13C25
FrattiniC8C24×D13
FittingC13×#3417C2
socleC2×C13C23×D8
hypercenter#3417D13
hypocenterC13C2×#3417
LCSG ▷ C8×C13 ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2 ◁ #41 ◁ #131 ◁ #3417

2022 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

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, 1076089);