Finite Group Databasebeta

C2×#13130504 #16796753

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

Aliases

direct productC2×#13130504

Splittings

FittingC22×C13×M16 ⋊ C4
SylowC13 ⋊ C2×#1729

Subgroups

subgroupG/H
centerC22×C4C22×#261
commutatorC22×C13C22×C42
FrattiniC2×C4C23×#261
FittingC22×C13×M16C4
socleC23×C13C2×C42
prime radicalC24×D13C2×C4
cosocleC2×C4×D13C24
hypercenterC22×M16#261
hypocenterC13C2×#1729
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ C22×M16

2350 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, 1103402);