TII subcells for the PSO(10,2) x Spin(6,6) block of PSO12
#
cell#0 , |C| = 10
special orbit = [5, 1, 1, 1, 1, 1, 1, 1]
special rep = [[], [3, 1, 1, 1]] , dim = 10
cell rep = phi[[],[3, 1, 1, 1]]
TII depth = 1
TII multiplicity polynomial = 10*X
TII subcells:
  tii[15,1] := {0}
  tii[15,2] := {6}
  tii[15,3] := {8}
  tii[15,4] := {9}
  tii[15,5] := {1}
  tii[15,6] := {5}
  tii[15,7] := {2}
  tii[15,8] := {7}
  tii[15,9] := {4}
  tii[15,10] := {3}

cell#1 , |C| = 33
special orbit = [3, 3, 1, 1, 1, 1, 1, 1]
special rep = [[1], [2, 1, 1, 1]] , dim = 24
cell rep = phi[[],[2, 2, 1, 1]]+phi[[1],[2, 1, 1, 1]]
TII depth = 2
TII multiplicity polynomial = 9*X^2+15*X
TII subcells:
  tii[7,1] := {7, 8}
  tii[7,2] := {12, 13}
  tii[7,3] := {19, 20}
  tii[7,4] := {0}
  tii[7,5] := {1}
  tii[7,6] := {2}
  tii[7,7] := {5}
  tii[7,8] := {6}
  tii[7,9] := {11}
  tii[7,10] := {9}
  tii[7,11] := {10}
  tii[7,12] := {21, 22}
  tii[7,13] := {18}
  tii[7,14] := {23}
  tii[7,15] := {16}
  tii[7,16] := {17}
  tii[7,17] := {27, 28}
  tii[7,18] := {24}
  tii[7,19] := {30, 31}
  tii[7,20] := {29}
  tii[7,21] := {32}
  tii[7,22] := {3, 4}
  tii[7,23] := {14, 15}
  tii[7,24] := {25, 26}

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

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

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

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

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

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