TII subcells for the Spin(6,2) x PSO(4,4) block of Spin8
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cell#0 , |C| = 3
special orbit = [5, 1, 1, 1]
special rep = [[], [3, 1]] , dim = 3
cell rep = phi[[],[3, 1]]
TII depth = 1
TII multiplicity polynomial = 3*X
TII subcells:
  tii[9,1] := {0}
  tii[9,2] := {2}
  tii[9,3] := {1}

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

cell#2 , |C| = 14
special orbit = [3, 3, 1, 1]
special rep = [[1], [2, 1]] , dim = 8
cell rep = phi[[1],[2, 1]]+phi[[2],[1, 1]]
TII depth = 1
TII multiplicity polynomial = 6*X^2+2*X
TII subcells:
  tii[6,1] := {11}
  tii[6,2] := {0, 1}
  tii[6,3] := {4, 5}
  tii[6,4] := {2, 3}
  tii[6,5] := {9, 10}
  tii[6,6] := {7, 8}
  tii[6,7] := {12, 13}
  tii[6,8] := {6}

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

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

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

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

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

cell#8 , |C| = 1
special orbit = [1, 1, 1, 1, 1, 1, 1, 1]
special rep = [[], [1, 1, 1, 1]] , dim = 1
cell rep = phi[[],[1, 1, 1, 1]]
TII depth = 1
TII multiplicity polynomial = X
TII subcells:
  tii[1,1] := {0}