Finite Group Databasebeta

C2×#13130427 #16795192

order3328
automorphism?
homologyAbelianization (H1) = C23×C8 · Schur multiplier (H2) = C25

Aliases

direct productC2×#13130427

Splittings

SylowC13 ⋊ C2×SD16⋊C8

Subgroups

subgroupG/H
centerC23D4×#261
commutatorC4×C13C23×C8
FrattiniC2×C4C23×#261
FittingC2×C13×#102C4
socleC23×C13C4×D4
prime radicalC22×D4×C13C2×C4
cosocleC4×Dic13C24
hypercenterC2×#102#261
hypocenterC13C2×SD16⋊C8
LCSG ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C22×C4 ◁ C2×#102

806 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

172 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1101841);