Report on type D7 #: 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 3/6 1.26 7.48 6 6 49 Summand of Rep(6) x Rep(6) 4/6 1.26 7.26 3 2 6 tensored with a character 5/7 1.24 8.24 6 2 7 tensored with a character 6/7 1.24 8.24 reflection representation 7/14 3.14 17.14 3 8 84 Summand of Rep(3) x Rep(8) 8/14 1.96 15.96 2 9 14 tensored with a character 9/14 1.96 15.96 3 4 36 Summand of Rep(3) x Rep(4) 10/14 3.14 17.14 7 2 14 tensored with a character 11/15 1.42 16.42 12 2 15 tensored with a character 12/15 1.42 16.42 3 4 36 Summand of Rep(3) x Rep(4) 13/20 1.47 21.47 11 3 90 Summand of Rep(11) x Rep(3) 14/21 2.33 23.66 6 6 49 Summand of Rep(6) x Rep(6) 15/21 1.41 22.41 6 6 49 Summand of Rep(6) x Rep(6) 16/21 1.41 22.41 2 15 21 tensored with a character 17/21 2.33 23.33 14 2 21 tensored with a character 18/21 2.37 23.37 19 2 21 tensored with a character 19/21 2.37 23.37 3 10 84 Summand of Rep(3) x Rep(10) 20/35 11.76 1964.68 2 23 35 tensored with a character 21/35 1.49 36.49 2 22 35 tensored with a character 22/35 1.49 36.49 6 15 147 Summand of Rep(6) x Rep(15) 23/35 11.76 2373.36 6 14 147 Summand of Rep(6) x Rep(14) 24/35 2.42 37.42 3 8 84 Summand of Rep(3) x Rep(8) 25/35 2.42 37.42 24 2 35 tensored with a character 26/35 4.56 38.62 6 10 98 Summand of Rep(6) x Rep(10) 27/35 1.82 36.82 2 28 35 tensored with a character 28/35 1.82 36.82 6 3 42 Summand of Rep(6) x Rep(3) 29/35 4.56 39.56 26 2 35 tensored with a character 30/63 10.11 179.82 6 10 98 Summand of Rep(6) x Rep(10) 31/63 10.11 492.47 30 2 63 tensored with a character 32/70 3.94 73.94 35 2 70 tensored with a character 33/70 3.53 73.53 2 34 70 tensored with a character 34/70 3.53 73.71 6 14 147 Summand of Rep(6) x Rep(14) 35/70 3.94 74.47 17 14 441 Summand of Rep(17) x Rep(14) 36/70 2.67 72.58 11 5 105 Summand of Rep(11) x Rep(5) 37/70 2.67 72.67 36 2 70 tensored with a character 38/84 5.70 170.20 14 3 126 Summand of Rep(14) x Rep(3) 39/84 2.16 86.16 40 2 84 tensored with a character 40/84 2.16 86.16 16 3 126 Summand of Rep(16) x Rep(3) 41/84 5.70 170.38 2 38 84 tensored with a character 42/105 29.50 3314.61 45 2 105 tensored with a character 43/105 3.44 108.44 2 44 105 tensored with a character 44/105 3.44 107.71 4 21 210 Summand of Rep(4) x Rep(21) 45/105 29.50 1456.39 3 20 210 Summand of Rep(3) x Rep(20) 46/105 41.29 4323.81 2 49 105 tensored with a character 47/105 11.15 489.46 48 2 105 tensored with a character 48/105 11.15 525.55 6 26 245 Summand of Rep(6) x Rep(26) 49/105 41.29 3741.51 6 26 245 Summand of Rep(6) x Rep(26) 50/112 4.35 116.50 18 6 147 Summand of Rep(18) x Rep(6) 51/126 5.92 131.92 2 52 126 tensored with a character 52/126 5.92 130.83 17 12 315 Summand of Rep(17) x Rep(12) 53/140 11.47 209.12 4 32 420 Summand of Rep(4) x Rep(32) 54/210 8.70 218.17 34 4 420 Summand of Rep(34) x Rep(4) 55/210 8.70 218.70 2 54 210 tensored with a character