Cartan #0:
split: 0; compact: 2; complex: 2
canonical twisted involution: e
twisted involution orbit size: 45; fiber size: 4; strong inv: 180
imaginary root system: D4
real root system is empty
complex factor: A2
real form #1: [0,1,2] (3)
real form #0: [3] (1)


Cartan #1:
split: 0; compact: 0; complex: 3
canonical twisted involution: 2,4,3,1,5,4,2,3,4,5,6,5,4,2,3,1,4,3,5,4,2
twisted involution orbit size: 540; fiber size: 1; strong inv: 540
imaginary root system: A1.A1.A1
real root system: A1
complex factor: A2
real form #1: [0] (1)


Cartan #2:
split: 2; compact: 0; complex: 2
canonical twisted involution: 1,2,3,4,2,3,1,5,4,2,3,1,4,5,6,5,4,2,3,1,4,3,5,4,2,
    6,5,4,3,1
twisted involution orbit size: 270; fiber size: 1; strong inv: 270
imaginary root system: A1.A1
real root system: A3
complex factor: A1
real form #1: [0] (1)


Cartan #3:
split: 4; compact: 0; complex: 1
canonical twisted involution: 1,2,3,1,4,2,3,1,4,5,4,2,3,1,4,3,5,4,2,6,5,4,2,3,1,
    4,3,5,4,2,6,5,4,3,1
twisted involution orbit size: 36; fiber size: 1; strong inv: 36
imaginary root system: A1
real root system: A5
complex factor is empty
real form #1: [0] (1)


Cartan #4:
split: 6; compact: 0; complex: 0
canonical twisted involution: 1,2,3,1,4,2,3,1,4,3,5,4,2,3,1,4,3,5,4,2,6,5,4,2,3,
    1,4,3,5,4,2,6,5,4,3,1
twisted involution orbit size: 1; fiber size: 1; strong inv: 1
imaginary root system is empty
real root system: E6
complex factor is empty
real form #1: [0] (1)