Finite Group Databasebeta

C2×D13⋊#408 #16808038

order3328
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C210

Aliases

direct productC2×D13⋊#408
unambiguous semidirect productD13⋊(C2×#408)

Splittings

SylowC13 ⋊ C22×#408

Subgroups

subgroupG/H
centerC22×C4C22×#261
commutatorC22×C13C24×C4
FrattiniC22C24×#261
FittingC22×C13×#41C4
socleC23×C13C23×C4
prime radicalC22×#41×D13C2
cosocleC2×Dic13C25
hypercenterC22×#41#261
hypocenterC13C22×#408
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ C22×#41

5326 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

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, 1114687);