Finite Group Databasebeta

C2×#13130810 #16798452

order3328
automorphism?
homologyAbelianization (H1) = C23×C8 · Schur multiplier (H2) = C28

Aliases

direct productC2×#13130810

Splittings

SylowC13 ⋊ C2×#1869

Subgroups

subgroupG/H
centerC24C22×#261
commutatorC22×C13C23×C8
FrattiniC23C23×#261
FittingC22×C13×C22⋊C4C4
socleC24×C13C22×C4
prime radicalC23×C22⋊D13C4
cosocleC22×Dic13C24
hypercenterC22×C22⋊C4#261
hypocenterC13C2×#1869
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C24 ◁ C22×C22⋊C4

2438 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

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, 1105101);