Finite Group Databasebeta

C2×#13130808 #16798447

order3328
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26

Aliases

direct productC2×#13130808

Splittings

SylowC13 ⋊ C2×#1868

Subgroups

subgroupG/H
centerC22#11719070
commutatorC23×C13C23×C4
FrattiniC23C23×#261
FittingC2×C13×#99C4
socleC22×C13#385
prime radicalC22×#6129C22
cosocleC22×Dic13C24
hypercenterC2×#99#261
hypocenterC13C2×#1868
LCSG ▷ C23×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C24 ◁ C2×#99

1342 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

130 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1105096);