Finite Group Databasebeta

D13×#1683 #15845216

order3328
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C24

Aliases

direct productD13×#1683

Splittings

FittingC13×#1683 ⋊ C2
SylowC13 ⋊ C2×#1683

Subgroups

subgroupG/H
centerC22D13×#121
commutator, cosocleC42×C13C24
FrattiniC42C23×D13
FittingC13×#1683C2
socleC22×C13C2×#121
prime radicalC2×D4×D13D4
hypercenter#1683D13
hypocenterC13C2×#1683
LCSG ▷ C42×C13 ▷ C22×C13 ▷ C13
UCSC1 ◁ C22 ◁ C42 ◁ #1683

726 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

232 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 151865);