Cartan #0:
split: 0; compact: 2; complex: 2
twisted involution orbit size: 45
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
twisted involution orbit size: 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
twisted involution orbit size: 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
twisted involution orbit size: 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
twisted involution orbit size: 1
imaginary root system is empty
real root system: E6
complex factor is empty
real form #1: [0] (1)