Finite Group Databasebeta

D13×#1985 #15867362

order3328
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26

Aliases

direct productD13×#1985

Splittings

FittingC13×#1985 ⋊ C2
SylowC13 ⋊ C2×#1985

Subgroups

subgroupG/H
center, FrattiniC22×C4C23×D13
commutator, socleC23×C13C23×C4
FittingC13×#1985C2
prime radicalC23×D13C22×C4
cosocleC22×C4×C13C24
hypercenter#1985D13
hypocenterC13C2×#1985
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ #1985

1438 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

352 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 174011);