Finite Group Databasebeta

C2×#13124197 #16729561

order3328
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C210

Aliases

direct productC2×#13124197

Splittings

FittingC2×C13×#454 ⋊ C2
SylowC13 ⋊ C2×#3020

Subgroups

subgroupG/H
centerC22D13×#120
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#454C2
socleC22×C13C2×#120
hypercenterC2×#454D13
hypocenterC13C2×#3020
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×#454

4710 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

250 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1036210);