Component groups of nilpotent orbits
G=simply connected adjoint root datum of Lie type 'G2'

Orbit #0
Component info for orbit:
H=[ 0, 0 ] diagram:[0,0] dim:0
orders:[1]
pseudo_Levi  Generators
e            [[ 0, 0 ]/1]

Orbit #1
Component info for orbit:
H=[ 1, 2 ] diagram:[0,1] dim:6
orders:[1]
pseudo_Levi  Generators
A1           [[ 0, 0 ]/1]

Orbit #2
Component info for orbit:
H=[ 2, 3 ] diagram:[1,0] dim:8
orders:[1]
pseudo_Levi  Generators
A1           [[ 0, 0 ]/1]

Orbit #3
Component info for orbit:
H=[ 2, 4 ] diagram:[0,2] dim:10
orders:[1,2,3]
pseudo_Levi  Generators
2A1          [[ -1, -2 ]/2]
A2           [[ -2, -3 ]/3]
G2           [[ 0, 0 ]/1]

Orbit #4
Component info for orbit:
H=[  6, 10 ] diagram:[2,2] dim:12
orders:[1]
pseudo_Levi  Generators
G2           [[ 0, 0 ]/1]