TII subcells for the PSO(4,4) x Spin(4,4) block of PSO8
#
cell#0 , |C| = 1
special orbit = [7, 1]
special rep = [[], [4]] , dim = 1
cell rep = phi[[],[4]]
TII depth = 1
TII multiplicity polynomial = X
TII subcells:
  tii[11,1] := {0}

cell#1 , |C| = 4
special orbit = [5, 3]
special rep = [[1], [3]] , dim = 4
cell rep = phi[[1],[3]]
TII depth = 1
TII multiplicity polynomial = 4*X
TII subcells:
  tii[10,1] := {3}
  tii[10,2] := {0}
  tii[10,3] := {2}
  tii[10,4] := {1}

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

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

cell#4 , |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] := {2}
  tii[9,2] := {1}
  tii[9,3] := {0}

cell#5 , |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] := {2}
  tii[9,2] := {1}
  tii[9,3] := {0}

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

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

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

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

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

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

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

cell#13 , |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#14 , |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#15 , |C| = 3
special orbit = [2, 2, 2, 2, 0]
special rep = [[1, 1], [1, 1], 2] , dim = 3
cell rep = phi[[1, 1],[1, 1],2]
TII depth = 1
TII multiplicity polynomial = 3*X
TII subcells:
  tii[3,1] := {2}
  tii[3,2] := {0}
  tii[3,3] := {1}

cell#16 , |C| = 3
special orbit = [2, 2, 2, 2, 0]
special rep = [[1, 1], [1, 1], 2] , dim = 3
cell rep = phi[[1, 1],[1, 1],2]
TII depth = 1
TII multiplicity polynomial = 3*X
TII subcells:
  tii[3,1] := {2}
  tii[3,2] := {0}
  tii[3,3] := {1}

cell#17 , |C| = 3
special orbit = [2, 2, 2, 2]
special rep = [[1, 1], [1, 1], 1] , dim = 3
cell rep = phi[[1, 1],[1, 1],1]
TII depth = 1
TII multiplicity polynomial = 3*X
TII subcells:
  tii[4,1] := {2}
  tii[4,2] := {0}
  tii[4,3] := {1}

cell#18 , |C| = 3
special orbit = [2, 2, 2, 2]
special rep = [[1, 1], [1, 1], 1] , dim = 3
cell rep = phi[[1, 1],[1, 1],1]
TII depth = 1
TII multiplicity polynomial = 3*X
TII subcells:
  tii[4,1] := {2}
  tii[4,2] := {0}
  tii[4,3] := {1}

cell#19 , |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] := {2}
  tii[2,2] := {1}
  tii[2,3] := {3}
  tii[2,4] := {0}

cell#20 , |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] := {2}
  tii[2,2] := {1}
  tii[2,3] := {3}
  tii[2,4] := {0}

cell#21 , |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] := {2}
  tii[2,2] := {1}
  tii[2,3] := {3}
  tii[2,4] := {0}

cell#22 , |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] := {2}
  tii[2,2] := {1}
  tii[2,3] := {3}
  tii[2,4] := {0}

cell#23 , |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}

cell#24 , |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}

cell#25 , |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}

cell#26 , |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}