Finite Group Databasebeta

D13×#1914 #15864938

order3328
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C27

Aliases

direct productD13×#1914

Splittings

FittingC13×#1914 ⋊ C2
SylowC13 ⋊ C2×#1914

Subgroups

subgroupG/H
centerC2D13×#386
commutatorC23×C13C23×C4
FrattiniC22×C4C23×D13
FittingC13×#1914C2
socleC2×C13C2×#386
prime radicalD13×#535C2
cosocleC22×C4×C13C24
hypercenter#1914D13
hypocenterC13C2×#1914
LCSG ▷ C23×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2 ◁ C22×C4 ◁ #1914

1862 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 208

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, 171587);