Conjugacy classes of Cartan subgroups
                for the simply connected split group of type E6

Cartan #0:
split: 6; compact: 0; complex: 0
imaginary root system is empty
real root system: E6
complex factor is empty
twisted involution orbit size: 51840/51840 = 1
size of parameter space fiber: 1.64 = 64


Cartan #1:
split: 4; compact: 0; complex: 1
imaginary root system: A1
real root system: A5
complex factor is empty
twisted involution orbit size: 51840/1440 = 36
size of parameter space fiber: 1.16 = 16


Cartan #2:
split: 2; compact: 0; complex: 2
imaginary root system: A1.A1
real root system: A3
complex factor: A1
twisted involution orbit size: 51840/192 = 270
size of parameter space fiber: 1.4 = 4


Cartan #3:
split: 0; compact: 0; complex: 3
imaginary root system: A1.A1.A1
real root system: A1
complex factor: A2
twisted involution orbit size: 51840/96 = 540
size of parameter space fiber: 1.1 = 1


Cartan #4:
split: 0; compact: 2; complex: 2
imaginary root system: D4
real root system is empty
complex factor: A2
twisted involution orbit size: 51840/1152 = 45
size of parameter space fiber: 4.1 = 4


total number of parameters for this inner class: 
64 + 576 + 1080 + 540 + 180 = 2440