TII subcells for the SU(3,3) x PGL(3,H) block of SL6
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cell#0 , |C| = 1
special orbit = [6]
special rep = [6] , dim = 1
cell rep = phi[6]
TII depth = 1
TII multiplicity polynomial = X
TII subcells:
  tii[11,1] := {0}

cell#1 , |C| = 9
special orbit = [4, 2]
special rep = [4, 2] , dim = 9
cell rep = phi[4,2]
TII depth = 1
TII multiplicity polynomial = 9*X
TII subcells:
  tii[9,1] := {0}
  tii[9,2] := {5}
  tii[9,3] := {1}
  tii[9,4] := {4}
  tii[9,5] := {7}
  tii[9,6] := {8}
  tii[9,7] := {2}
  tii[9,8] := {6}
  tii[9,9] := {3}

cell#2 , |C| = 5
special orbit = [2, 2, 2]
special rep = [2, 2, 2] , dim = 5
cell rep = phi[2,2,2]
TII depth = 1
TII multiplicity polynomial = 5*X
TII subcells:
  tii[4,1] := {2}
  tii[4,2] := {1}
  tii[4,3] := {3}
  tii[4,4] := {0}
  tii[4,5] := {4}