Finite Group Databasebeta

C2×#13131648 #16808462

order3328
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C28

Aliases

direct productC2×#13131648

Splittings

SylowC13 ⋊ C2×#2965

Subgroups

subgroupG/H
centerC22×C4C22×#261
commutatorC22×C13C24×C4
FrattiniC22C24×#261
FittingC2×C4×D4×C13C4
socleC23×C13C23×C4
prime radicalC22×#6129C4
cosocleC2×Dic13C25
hypercenterC2×C4×D4#261
hypocenterC13C2×#2965
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ C2×C4×D4

2286 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, 1115111);