Finite Group Databasebeta

C2×#13130044 #16792599

order3328
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C25

Aliases

direct productC2×#13130044

Splittings

SylowC13 ⋊ C2×#1451

Subgroups

subgroupG/H
centerC22×C4C22×#261
commutatorC22×C13C22×C42
FrattiniC2×C4C23×#261
FittingC2×C13×#97C4
socleC23×C13C2×C42
prime radicalC23×D13C42
cosocleC4×Dic13C24
hypercenterC2×#97#261
hypocenterC13C2×#1451
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ C2×#97

966 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, 1099248);