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

Cartan #0:
split: 2; compact: 0; complex: 2
imaginary root system is empty
real root system: D4
complex factor: A2
twisted involution orbit size: 51840/1152 = 45
size of parameter space fiber: 3.4 = 12


Cartan #1:
split: 0; compact: 0; complex: 3
imaginary root system: A1
real root system: A1.A1.A1
complex factor: A2
twisted involution orbit size: 51840/96 = 540
size of parameter space fiber: 3.1 = 3


Cartan #2:
split: 0; compact: 2; complex: 2
imaginary root system: A3
real root system: A1.A1
complex factor: A1
twisted involution orbit size: 51840/192 = 270
size of parameter space fiber: 12.1 = 12


Cartan #3:
split: 0; compact: 4; complex: 1
imaginary root system: A5
real root system: A1
complex factor is empty
twisted involution orbit size: 51840/1440 = 36
size of parameter space fiber: 48.1 = 48


Cartan #4:
split: 0; compact: 6; complex: 0
imaginary root system: E6
real root system is empty
complex factor is empty
twisted involution orbit size: 51840/51840 = 1
size of parameter space fiber: 192.1 = 192


total number of parameters for this inner class: 
540 + 1620 + 3240 + 1728 + 192 = 7320