Finite Group Databasebeta

C2×#13116117 #15890758

order3328
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C26

Aliases

direct productC2×#13116117

Splittings

SylowC13 ⋊ C2×#2049

Subgroups

subgroupG/H
centerC22#11718622
commutator, cosocleC22×C4×C13C24
FrattiniC22×C4C23×D13
FittingC2×C13×#421C2
socleC22×C13#394
prime radicalC22×C13×#41C22
hypercenterC2×#421D13
hypocenterC13C2×#2049
LCSG ▷ C22×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#421

1322 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 197407);