Finite Group Databasebeta

D13×#1899 #15864702

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

Aliases

direct productD13×#1899

Splittings

FittingC13×#1899 ⋊ C2
SylowC13 ⋊ C2×#1899

Subgroups

subgroupG/H
centerC22C2×C22⋊C4×D13
commutatorC23×C13C23×C4
FrattiniC24C23×D13
FittingC13×#1899C2
socleC22×C13C22×C22⋊C4
prime radicalC22×D4×D13C22
cosocleC24×C13C24
hypercenter#1899D13
hypocenterC13C2×#1899
LCSG ▷ C23×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C23×C4 ◁ #1899

2066 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

Conjugacy classes & character table

256 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 171351);