Orbits and cells for the big block of E6(compact inner class, quasisplit) G = E6 adjoint, compact inner class, quasisplit (quaternionic, K=A5xA1) G^v = E6 simply connected, split real form type: E6 sc c real form: 2 dual real form: 1 2 | Dynkin Diagram: 1-3-4-5-6 Special Special Orbit Cells Diagram #R A Dual Orbit Cells Diagram #R A E6 0 222222 1 1 0 31 000000 1 1 E6(a1) 3 222022 1 1 A1 30 010000 1 1 D5 1,4 220202 2 1 2A1 28,29 100001 2 1 E6(a3) 5,11 200202 2 2 A2 21,26 020000 3 2 D5(a1) 6,7 121011 2 1 A2+A1 24,25 110001 2 1 A4+A1 12,13 111011 2 1 A2+2A1 19,20 001010 3 1 A4 8,14 220002 2 1 A3 18,23 020001 2 1 D4 2,9 020200 2 1 2A2 22,27 200002 1 3/1 D4(a1) 10,15,16 000200 3 1 D4(a1) 13,14,17 000200 3 1 A3 19,21 120001 2 1 A4 12,16 220002 2 1 A2+2A1 17,18,22 001010 3 1 A4+A1 9,10,11 121011 2 1 2A2 23 200002 1 3/1 D4 8 020200 2 1 A2+A1 24,25 110001 2 1 D5(a1) 6,7 121011 2 1 A2 20,26,27 020000 3 2 E6(a3) 4,5,15 200202 2 2 2A1 28,29 100001 2 1 D5 2,3 220202 2 1 A1 30 010000 1 1 E6(a1) 1 222022 1 1 0 31 000000 1 1 E6 0 222222 1 1