Finite Group Databasebeta

D13×#1624 #15838798

order3328
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C24×C4

Aliases

direct productD13×#1624

Splittings

FittingC13×#1624 ⋊ C2
SylowC13 ⋊ C2×#1624

Subgroups

subgroupG/H
centerC22D13×#120
commutator, cosocleC42×C13C24
FrattiniC42C23×D13
FittingC13×#1624C2
socleC22×C13C2×#120
hypercenter#1624D13
hypocenterC13C2×#1624
LCSG ▷ C42×C13 ▷ C22×C13 ▷ C13
UCSC1 ◁ C22 ◁ C42 ◁ #1624

1190 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

208 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 145447);