
Cartan #0:
split: 1; compact: 5; complex: 0
canonical twisted involution: e
twisted involution orbit size: 6; fiber size: 32; strong inv: 192
imaginary root system: D5
real root system is empty
complex factor: A1
real form #2: [0,1,2,4,5,6,8,10,11,13] (10)
real form #1: [3,7,9,12,14] (5)
real form #0: [15] (1)


Cartan #1:
split: 1; compact: 3; complex: 1
canonical twisted involution: 2,3,4,5,6,4,3,2,1,2,3,4,5,6,4,3,2
twisted involution orbit size: 120; fiber size: 8; strong inv: 960
imaginary root system: A1.A3
real root system: A1
complex factor: A1
real form #2: [0,1,2] (3)
real form #1: [3] (1)


Cartan #2:
split: 3; compact: 3; complex: 0
canonical twisted involution: 2,3,4,5,6,4,3,2,1,2,3,4,5,6,4,3,2,1
twisted involution orbit size: 20; fiber size: 8; strong inv: 160
imaginary root system: A3
real root system: A3
complex factor: A1
real form #2: [0,1,2] (3)
real form #1: [3] (1)


Cartan #3:
split: 1; compact: 1; complex: 2
canonical twisted involution: 4,5,6,4,3,4,5,6,4,2,3,4,5,6,4,1,2,3,4,5,6,4
twisted involution orbit size: 360; fiber size: 2; strong inv: 720
imaginary root system: A1.A1
real root system: A1.A1
complex factor: A1.A1
real form #2: [0] (1)


Cartan #4:
split: 3; compact: 1; complex: 1
canonical twisted involution: 4,5,6,4,3,4,5,6,4,2,3,4,5,6,4,3,2,1,2,3,4,5,6,4,3,
    2,1
twisted involution orbit size: 120; fiber size: 2; strong inv: 240
imaginary root system: A1
real root system: A3.A1
complex factor: A1
real form #2: [0] (1)


Cartan #5:
split: 5; compact: 1; complex: 0
canonical twisted involution: 4,5,6,4,3,4,5,6,4,3,2,3,4,5,6,4,3,2,1,2,3,4,5,6,4,
    3,2,1
twisted involution orbit size: 6; fiber size: 2; strong inv: 12
imaginary root system is empty
real root system: D5
complex factor: A1
real form #2: [0] (1)

