Report on type A8 #: number of representation from character table Dim: dimensiona qual-Z: quality of Z model, if it exists; qual-Q: quality of Q model, if it exists; indices: model obtained from tensor product of representations i,j; T-Dim: dimension of tensor product; comment: miscellaneous #/Dim qual-Z qual-Q indices T-Dim comment 1/1 1.0 2.0 trivial representation 2/1 1.0 2.0 sgn representation 3/8 1.22 9.22 reflection representation 4/8 1.22 9.22 3 2 8 tensored with a character 5/27 1.96 28.96 3 3 64 Summand of Rep(3) x Rep(3) 6/27 1.96 28.96 5 2 27 tensored with a character 7/28 1.38 29.38 3 3 64 Summand of Rep(3) x Rep(3) 8/28 1.38 29.38 2 7 28 tensored with a character 9/42 3.47 45.47 3 26 1344 Summand of Rep(3) x Rep(26) 10/42 11.10 1382.55 3 12 384 Summand of Rep(3) x Rep(12) 11/42 11.10 1382.55 10 2 42 tensored with a character 12/48 8.24 1362.54 3 5 216 Summand of Rep(3) x Rep(5) 13/48 8.24 1362.54 2 12 48 tensored with a character 14/56 1.47 57.47 3 7 224 Summand of Rep(3) x Rep(7) 15/56 1.47 57.47 2 14 56 tensored with a character 16/70 1.50 71.50 14 4 448 Summand of Rep(14) x Rep(4) 17/84 4.90 88.90 18 2 84 tensored with a character 18/84 4.90 88.90 4 10 336 Summand of Rep(4) x Rep(10) 19/105 2.60 107.60 3 5 216 Summand of Rep(3) x Rep(5) 20/105 2.60 107.60 2 19 105 tensored with a character 21/120 2.95 122.95 22 2 120 tensored with a character 22/120 2.95 122.95 5 6 729 Summand of Rep(5) x Rep(6) 23/162 8.95 839.36 3 12 384 Summand of Rep(3) x Rep(12) 24/162 8.95 839.36 23 2 162 tensored with a character 25/168 31.27 3696.86 2 26 168 tensored with a character 26/168 31.27 3696.86 18 3 672 Summand of Rep(18) x Rep(3) 27/189 3.44 192.44 2 28 189 tensored with a character 28/189 3.44 192.26 14 4 448 Summand of Rep(14) x Rep(4) 29/216 10.53 714.73 2 30 216 tensored with a character 30/216 10.53 714.73 18 3 672 Summand of Rep(18) x Rep(3)