Finite Group Databasebeta

D13×#1451 #15828514

order3328
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C25

Aliases

direct productD13×#1451

Splittings

FittingC13×#1451 ⋊ C2
SylowC13 ⋊ C2×#1451

Subgroups

subgroupG/H
center, FrattiniC42C23×D13
commutator, socleC22×C13C22×C42
FittingC13×#1451C2
prime radicalC23×D13C42
cosocleC42×C13C24
hypercenter#1451D13
hypocenterC13C2×#1451
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C42 ◁ #1451

966 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, 135163);