Finite Group Databasebeta

C2×#13131421 #16808043

order3328
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C210

Aliases

direct productC2×#13131421

Splittings

SylowC13 ⋊ C2×#2879

Subgroups

subgroupG/H
centerC23C23×#261
commutatorC22×C13C24×C4
FrattiniC22C24×#261
FittingC22×C13×#41C4
socleC23×C13C23×C4
prime radicalC22×#41×D13C2
cosocleC2×Dic13C25
hypercenterC22×#41#261
hypocenterC13C2×#2879
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C22×#41

5150 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

208 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1114692);