TII subcells for the Sp(6,R) x SO(5,2) block of Sp6
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cell#0 , |C| = 1
special orbit = [6]
special rep = [[3], []] , dim = 1
cell rep = phi[[3],[]]
TII depth = 1
TII multiplicity polynomial = X
TII subcells:
  tii[6,1] := {0}

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

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

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

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

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

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

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