Finite Group Databasebeta

D13×#1916 #15864957

order3328
automorphism?
homologyAbelianization (H1) = C23×C8 · Schur multiplier (H2) = C24×C4

Aliases

direct productD13×#1916

Splittings

FittingC13×#1916 ⋊ C2
SylowC13 ⋊ C2×#1916

Subgroups

subgroupG/H
center, FrattiniC22×C4C23×D13
commutatorC22×C13C23×C8
FittingC13×#1916C2
socleC23×C13C23×C4
prime radicalC23×D13C22×C4
cosocleC22×C4×C13C24
hypercenter#1916D13
hypocenterC13C2×#1916
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ #1916

1134 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

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, 171606);