Finite Group Databasebeta

D13×#2401 #16029214

order3328
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C27

Aliases

direct productD13×#2401

Splittings

FittingC13×#2401 ⋊ C2
SylowC13 ⋊ C2×#2401

Subgroups

subgroupG/H
centerC22×C4C23×D13
commutator, socle, cosocleC23×C13C25
FrattiniC23C24×D13
FittingC13×#2401C2
prime radicalC24×D13C23
hypercenter#2401D13
hypocenterC13C2×#2401
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ #2401

2294 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

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, 335863);