Component groups of nilpotent orbits
G=simply connected root datum of Lie type 'E6'

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

Component info for orbit:
H=[ 1, 2, 2, 3, 2, 1 ] diagram:[0,1,0,0,0,0] dim:22
orders:[1]
pseudo_Levi  Generators
A1           [[ 0, 0, 0, 0, 0, 0 ]/1]

Component info for orbit:
H=[ 2, 2, 3, 4, 3, 2 ] diagram:[1,0,0,0,0,1] dim:32
orders:[1]
pseudo_Levi  Generators
2A1          [[ 0, 0, 0, 0, 0, 0 ]/1]

Component info for orbit:
H=[ 2, 3, 4, 6, 4, 2 ] diagram:[0,0,0,1,0,0] dim:40
orders:[1]
pseudo_Levi  Generators
3A1          [[ 0, 0, 0, 0, 0, 0 ]/1]

Component info for orbit:
H=[ 2, 4, 4, 6, 4, 2 ] diagram:[0,2,0,0,0,0] dim:42
orders:[1,2]
pseudo_Levi  Generators
A2           [[ 0, 0, 0, 0, 0, 0 ]/1]
4A1          [[ -1, -2, -2, -3, -2, -1 ]/2]

Component info for orbit:
H=[ 3, 4, 5, 7, 5, 3 ] diagram:[1,1,0,0,0,1] dim:46
orders:[1]
pseudo_Levi  Generators
A1+A2        [[ 0, 0, 0, 0, 0, 0 ]/1]

Component info for orbit:
H=[ 4, 4, 6, 8, 6, 4 ] diagram:[2,0,0,0,0,2] dim:48
orders:[1,3,3]
pseudo_Levi  Generators
2A2          [[ 0, 0, 0, 0, 0, 0 ]/1,[ 0, 0, 0, 0, 1, 2 ]/3,[ 0, 0, 0, 0, 2, 4 ]/3]

Component info for orbit:
H=[ 3, 4, 6, 8, 6, 3 ] diagram:[0,0,1,0,1,0] dim:50
orders:[1]
pseudo_Levi  Generators
2A1+A2       [[ 0, 0, 0, 0, 0, 0 ]/1]

Component info for orbit:
H=[  4,  6,  7, 10,  7,  4 ] diagram:[1,2,0,0,0,1] dim:52
orders:[1]
pseudo_Levi  Generators
A3           [[ 0, 0, 0, 0, 0, 0 ]/1]

Component info for orbit:
H=[  4,  5,  7, 10,  7,  4 ] diagram:[1,0,0,1,0,1] dim:54
orders:[1,3,3]
pseudo_Levi  Generators
A1+2A2       [[ 0, 0, 0, 0, 0, 0 ]/1,[ 0, 0, 0, 0, 1, 2 ]/3,[ 0, 0, 0, 0, 2, 4 ]/3]

Component info for orbit:
H=[  4,  6,  8, 11,  8,  4 ] diagram:[0,1,1,0,1,0] dim:56
orders:[1]
pseudo_Levi  Generators
A1+A3        [[ 0, 0, 0, 0, 0, 0 ]/1]

Component info for orbit:
H=[  4,  6,  8, 12,  8,  4 ] diagram:[0,0,0,2,0,0] dim:58
orders:[1,2,3]
pseudo_Levi  Generators
2A1+A3       [[ -3, -4, -6, -8, -6, -3 ]/4]
3A2          [[ -2, -3, -4, -6, -3,  0 ]/3]
D4           [[ 0, 0, 0, 0, 0, 0 ]/1]

Component info for orbit:
H=[  6,  8, 10, 14, 10,  6 ] diagram:[2,2,0,0,0,2] dim:60
orders:[1]
pseudo_Levi  Generators
A4           [[ 0, 0, 0, 0, 0, 0 ]/1]

Component info for orbit:
H=[  6, 10, 12, 18, 12,  6 ] diagram:[0,2,0,2,0,0] dim:60
orders:[1]
pseudo_Levi  Generators
D4           [[ 0, 0, 0, 0, 0, 0 ]/1]

Component info for orbit:
H=[  6,  8, 11, 15, 11,  6 ] diagram:[1,1,1,0,1,1] dim:62
orders:[1]
pseudo_Levi  Generators
A1+A4        [[ 0, 0, 0, 0, 0, 0 ]/1]

Component info for orbit:
H=[  7, 10, 13, 18, 13,  7 ] diagram:[1,2,1,0,1,1] dim:64
orders:[1]
pseudo_Levi  Generators
D5           [[ 0, 0, 0, 0, 0, 0 ]/1]

Component info for orbit:
H=[  8, 10, 14, 19, 14,  8 ] diagram:[2,1,1,0,1,2] dim:64
orders:[1,3,3]
pseudo_Levi  Generators
A5           [[ 0, 0, 0, 0, 0, 0 ]/1,[ 1, 0, 2, 3, 4, 5 ]/6,[ 1, 0, 2, 3, 4, 5 ]/3]

Component info for orbit:
H=[  8, 10, 14, 20, 14,  8 ] diagram:[2,0,0,2,0,2] dim:66
orders:[1,2,3,3,6,6]
pseudo_Levi  Generators
A1+A5        [[  -5,  -6, -10, -12,  -8,  -4 ]/6,[  -5,  -6, -10, -12,  -8,  -4 ]/2,[ -25, -30, -50, -60, -40, -20 ]/6]
E6           [[ 0, 0, 0, 0, 0, 0 ]/1,[ 2, 3, 4, 6, 5, 4 ]/3,[  4,  6,  8, 12, 10,  8 ]/3]

Component info for orbit:
H=[ 10, 14, 18, 26, 18, 10 ] diagram:[2,2,0,2,0,2] dim:68
orders:[1]
pseudo_Levi  Generators
D5           [[ 0, 0, 0, 0, 0, 0 ]/1]

Component info for orbit:
H=[ 12, 16, 22, 30, 22, 12 ] diagram:[2,2,2,0,2,2] dim:70
orders:[1,3,3]
pseudo_Levi  Generators
E6           [[ 0, 0, 0, 0, 0, 0 ]/1,[ 2, 3, 4, 6, 5, 4 ]/3,[  4,  6,  8, 12, 10,  8 ]/3]

Component info for orbit:
H=[ 16, 22, 30, 42, 30, 16 ] diagram:[2,2,2,2,2,2] dim:72
orders:[1,3,3]
pseudo_Levi  Generators
E6           [[ 0, 0, 0, 0, 0, 0 ]/1,[ 2, 3, 4, 6, 5, 4 ]/3,[  4,  6,  8, 12, 10,  8 ]/3]