Finite Groups of Order Less Than or Equal to 100 - LPSC

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Tribimaximal Mixing From Small Groups K. Parattu, A. Wingerter Table 1 – continued from previous page GAP ID Group 3 U3 U2 U2×1 A4 [72, 10] C9 × D4 ✗ ✔ ✔ ✔ ✗ [72, 11] C9 × Q8 ✗ ✔ ✔ ✔ ✗ [72, 12] C3 × (C3 ⋊ϕ C8) ✗ ✔ ✔ ✔ ✗ [72, 13] (C3 × C3) ⋊ϕ C8 ✗ ✗ ✗ ✗ ✗ [72, 14] C24 × C3 ✗ r r r ✗ [72, 15] ((C2 × C2) ⋊ϕ C9) ⋊ϕ C2 ✔ ✗ ✗ ✗ ✗ [72, 16] C2 × ((C2 × C2) ⋊ϕ C9) ✔ ✔ ✗ ✗ ✗ [72, 17] C2 × C2 × D9 ✗ ✔ ✗ ✔ ✗ [72, 18] C18 × C2 × C2 ✗ r r r ✗ [72, 19] (C3 × C3) ⋊ϕ C8 ✗ ✗ ✗ ✗ ✗ [72, 20] (C3 ⋊ϕ C4) × S3 ✗ ✗ ✗ ✗ ✗ [72, 21] (C3 × (C3 ⋊ϕ C4)) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [72, 22] (C6 × S3) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [72, 23] (C6 × S3) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [72, 24] (C3 × C3) ⋊ϕ Q8 ✗ ✗ ✗ ✗ ✗ [72, 25] C3 × SL(2, 3) ✔ ✔ ✔ ✔ ✗ [72, 26] C3 × (C3 ⋊ϕ Q8) ✗ ✔ ✔ ✔ ✗ [72, 27] C12 × S3 ✗ ✔ ✔ ✔ ✗ [72, 28] C3 × D12 ✗ ✔ ✔ ✔ ✗ [72, 29] C6 × (C3 ⋊ϕ C4) ✗ ✔ ✗ ✔ ✗ [72, 30] C3 × ((C6 × C2) ⋊ϕ C2) ✗ ✔ ✔ ✔ ✗ [72, 31] (C3 × C3) ⋊ϕ Q8 ✗ ✗ ✗ ✗ ✗ [72, 32] C4 × ((C3 × C3) ⋊ϕ C2) ✗ ✗ ✗ ✗ ✗ [72, 33] (C12 × C3) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [72, 34] C2 × ((C3 × C3) ⋊ϕ C4) ✗ ✗ ✗ ✗ ✗ [72, 35] (C6 × C6) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [72, 36] C12 × C6 ✗ r r r ✗ [72, 37] C3 × C3 × D4 ✗ ✔ ✗ ✔ ✗ [72, 38] C3 × C3 × Q8 ✗ ✔ ✗ ✔ ✗ [72, 39] (C3 × C3) ⋊ϕ C8 ✗ ✗ ✗ ✗ ✗ Page 22 of 36 Continued on next page
Tribimaximal Mixing From Small Groups K. Parattu, A. Wingerter Table 1 – continued from previous page GAP ID Group 3 U3 U2 U2×1 A4 [72, 40] (S3 × S3) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [72, 41] (C3 × C3) ⋊ϕ Q8 ✗ ✗ ✗ ✗ ✗ [72, 42] C3 × S4 ✔ ✔ ✗ ✗ ✔ [72, 43] (C3 × A4) ⋊ϕ C2 ✔ ✗ ✗ ✗ ✔ [72, 44] A4 × S3 ✔ ✗ ✗ ✗ ✔ [72, 45] C2 × ((C3 × C3) ⋊ϕ C4) ✗ ✗ ✗ ✗ ✗ [72, 46] C2 × S3 × S3 ✗ ✗ ✗ ✗ ✗ [72, 47] C6 × A4 ✔ ✔ ✗ ✗ ✔ [72, 48] C2 × C6 × S3 ✗ ✔ ✗ ✔ ✗ [72, 49] C2 × C2 × ((C3 × C3) ⋊ϕ C2) ✗ ✗ ✗ ✗ ✗ [72, 50] C6 × C6 × C2 ✗ r r r ✗ [73, 1] C73 ✗ r r r ✗ [74, 1] D37 ✗ ✔ ✔ ✔ ✗ [74, 2] C74 ✗ r r r ✗ [75, 1] C75 ✗ r r r ✗ [75, 2] (C5 × C5) ⋊ϕ C3 ✔ ✔ ✗ ✗ ✗ [75, 3] C15 × C5 ✗ r r r ✗ [76, 1] C19 ⋊ϕ C4 ✗ ✔ ✔ ✔ ✗ [76, 2] C76 ✗ r r r ✗ [76, 3] D38 ✗ ✔ ✔ ✔ ✗ [76, 4] C38 × C2 ✗ r r r ✗ [77, 1] C77 ✗ r r r ✗ [78, 1] (C13 ⋊ϕ C3) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [78, 2] C2 × (C13 ⋊ϕ C3) ✔ ✔ ✗ ✗ ✗ [78, 3] C13 × S3 ✗ ✔ ✔ ✔ ✗ [78, 4] C3 × D13 ✗ ✔ ✔ ✔ ✗ [78, 5] D39 ✗ ✔ ✔ ✔ ✗ [78, 6] C78 ✗ r r r ✗ [79, 1] C79 ✗ r r r ✗ [80, 1] C5 ⋊ϕ C16 ✗ ✔ ✔ ✔ ✗ Page 23 of 36 Continued on next page
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Finite Groups of Order Less Than or Equal to 100 - LPSC

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