Finite Group Databasebeta

C2×#13126606 #16739105

order3328
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C29

Aliases

direct productC2×#13126606

Splittings

FittingC2×C13×#456 ⋊ C2
SylowC13 ⋊ C2×#3289

Subgroups

subgroupG/H
centerC22#11719295
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#456C2
socleC22×C13D42
hypercenterC2×#456D13
hypocenterC13C2×#3289
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×#456

2620 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

244 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1045754);