Finite Group Databasebeta

C2×#13130845 #16798580

order3328
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C28

Aliases

direct productC2×#13130845
unambiguous semidirect productD13⋊#1889

Splittings

FittingC2×C13×#120 ⋊ C4
SylowC13 ⋊ C2×#1889

Subgroups

subgroupG/H
centerC22#11719150
commutatorC23×C13C23×C4
FrattiniC23C23×#261
FittingC2×C13×#120C4
socleC22×C13#386
prime radicalC2×D13×#120C2
cosocleC23×D13C24
hypercenterC2×#120#261
hypocenterC13C2×#1889
LCSG ▷ C23×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C24 ◁ C2×#120

3566 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 208

Conjugacy classes & character table

148 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1105229);