Finite Group Databasebeta

D13×#2165 #16016037

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

Aliases

direct productD13×#2165

Splittings

FittingC13×#2165 ⋊ C2
SylowC13 ⋊ C2×#2165

Subgroups

subgroupG/H
centerC4D13×#117
commutatorC2×C4×C13C23×C4
FrattiniC2×C8C23×D13
FittingC13×#2165C2
socleC2×C13C2×#432
prime radicalC23×D13M16
cosocleC2×C8×C13C24
hypercenter#2165D13
hypocenterC13C2×#2165
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C4 ◁ #97 ◁ #2165

570 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 208

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, 322686);