Finite Group Databasebeta

D13×#1453 #15828535

order3328
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C23×C8

Aliases

direct productD13×#1453

Splittings

FittingC13×#1453 ⋊ C2
SylowC13 ⋊ C2×#1453

Subgroups

subgroupG/H
center, FrattiniC42C23×D13
commutator, socleC22×C13C22×C42
FittingC13×#1453C2
prime radicalC23×D13C42
cosocleC42×C13C24
hypercenter#1453D13
hypocenterC13C2×#1453
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C42 ◁ #1453

866 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 135184);