Finite Group Databasebeta

C2×#13130809 #16798451

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

Aliases

direct productC2×#13130809

Splittings

SylowC13 ⋊ C2×#1869

Subgroups

subgroupG/H
centerC24C22×#261
commutatorC22×C13C23×C8
FrattiniC23C23×#261
Fitting, prime radicalC23×D4×C13C4
socleC24×C13C22×C4
cosocleC22×Dic13C24
hypercenterC23×D4#261
hypocenterC13C2×#1869
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C24 ◁ C23×D4

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, 1105100);