Finite Group Databasebeta

C2×D13×#346 #16015543

order3328
automorphism?
homologyAbelianization (H1) = C22×C4×C8 · Schur multiplier (H2) = C26

Aliases

direct productC2×D13×#346

Splittings

FittingC2×C13×#346 ⋊ C2
SylowC13 ⋊ C22×#346

Subgroups

subgroupG/H
centerC22×C8C22×D13
commutatorC2×C13C22×C4×C8
FrattiniC2×C8C23×D13
FittingC2×C13×#346C2
socleC23×C13C22×C8
prime radicalC23×D13C2×C8
cosocleC2×C8×C13C24
hypercenterC2×#346D13
hypocenterC13C22×#346
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C22×C8 ◁ C2×#346

942 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 322192);