Finite Group Databasebeta

C2×#13126638 #16739148

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

Aliases

direct productC2×#13126638

Splittings

FittingC2×C13×#578 ⋊ C2
SylowC13 ⋊ C2×#3293

Subgroups

subgroupG/H
centerC22D4×C22⋊D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#578C2
socleC22×C13D42
hypercenterC2×#578D13
hypocenterC13C2×#3293
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×#578

2598 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

322 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1045797);