Finite Group Databasebeta

C2×D13⋊#338 #16796768

order3328
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C27

Aliases

direct productC2×D13⋊#338
unambiguous semidirect productD13⋊(C2×#338)

Splittings

SylowC13 ⋊ C22×#338

Subgroups

subgroupG/H
centerC2×C4C2×C4×#261
commutatorC4×C13C22×C42
FrattiniC2×C4C23×#261
FittingC22×C13×M16C4
socleC22×C13C2×#95
prime radicalC24×D13Q8
cosocleC2×C4×D13C24
hypercenterC22×M16#261
hypocenterC13C22×#338
LCSG ▷ C4×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ C22×M16

2110 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

Conjugacy classes & character table

208 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1103417);