Finite Group Databasebeta

C2×#13131675 #16808493

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

Aliases

direct productC2×#13131675

Splittings

SylowC13 ⋊ C2×#2970

Subgroups

subgroupG/H
centerC23C23×#261
commutatorC22×C13C24×C4
FrattiniC22C24×#261
FittingC2×C13×#117C4
socleC23×C13C23×C4
prime radicalC22×#6127C4
cosocleC2×Dic13C25
hypercenterC2×#117#261
hypocenterC13C2×#2970
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#117

2254 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

220 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1115142);