TII subcells for the Spin(4,3) x PSp(2,1) block of Spin7 # cell#0 , |C| = 1 special orbit = [7] 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| = 5 special orbit = [5, 1, 1] 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] := {1, 4} tii[5,2] := {0, 3} tii[5,3] := {2} cell#2 , |C| = 3 special orbit = [3, 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] := {1} tii[3,3] := {0}