Finite Group Databasebeta

C2×#13130011 #16791517

order3328
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C27×C4

Aliases

direct productC2×#13130011

Splittings

FittingC2×C13×#95 ⋊ C4
SylowC13 ⋊ C2×#1434

Subgroups

subgroupG/H
centerC24C22×#261
commutatorC22×C13C22×C42
FrattiniC23C23×#261
FittingC2×C13×#95C4
socleC24×C13C22×C4
prime radicalC24×D13C23
cosocleC23×D13C24
hypercenterC2×#95#261
hypocenterC13C2×#1434
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C24 ◁ C2×#95

3246 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

232 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1098166);