Finite Group Databasebeta

D13×#2399 #16029195

order3328
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C28

Aliases

direct productD13×#2399

Splittings

FittingC13×#2399 ⋊ C2
SylowC13 ⋊ C2×#2399

Subgroups

subgroupG/H
centerC22×C4C23×D13
commutator, socle, cosocleC23×C13C25
FrattiniC23C24×D13
FittingC13×#2399C2
prime radicalC23×D13C24
hypercenter#2399D13
hypocenterC13C2×#2399
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ #2399

2814 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

352 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 335844);