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 [32, 40] C2 × QD 8 ✗ ✔ ✗ ✔ ✗ [32, 41] C2 × Q16 ✗ ✔ ✗ ✔ ✗ [32, 42] (C8 × C2) ⋊ϕ C2 ✗ ✔ ✔ ✔ ✗ [32, 43] (C2 × D4) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [32, 44] (C2 × Q8) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [32, 45] C4 × C2 × C2 × C2 ✗ r r r ✗ [32, 46] C2 × C2 × D4 ✗ ✗ ✗ ✗ ✗ [32, 47] C2 × C2 × Q8 ✗ ✗ ✗ ✗ ✗ [32, 48] C2 × ((C4 × C2) ⋊ϕ C2) ✗ ✔ ✗ ✔ ✗ [32, 49] (C2 × D4) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [32, 50] (C2 × Q8) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [32, 51] C2 × C2 × C2 × C2 × C2 ✗ r r r ✗ [33, 1] C33 ✗ r r r ✗ [34, 1] D17 ✗ ✔ ✔ ✔ ✗ [34, 2] C34 ✗ r r r ✗ [35, 1] C35 ✗ r r r ✗ [36, 1] C9 ⋊ϕ C4 ✗ ✔ ✔ ✔ ✗ [36, 2] C36 ✗ r r r ✗ [36, 3] (C2 × C2) ⋊ϕ C9 ✔ ✔ ✗ ✗ ✗ [36, 4] D18 ✗ ✔ ✔ ✔ ✗ [36, 5] C18 × C2 ✗ r r r ✗ [36, 6] C3 × (C3 ⋊ϕ C4) ✗ ✔ ✔ ✔ ✗ [36, 7] (C3 × C3) ⋊ϕ C4 ✗ ✗ ✗ ✗ ✗ [36, 8] C12 × C3 ✗ r r r ✗ [36, 9] (C3 × C3) ⋊ϕ C4 ✗ ✗ ✗ ✗ ✗ [36, 10] S3 × S3 ✗ ✗ ✗ ✗ ✗ [36, 11] C3 × A4 ✔ ✔ ✗ ✗ ✔ [36, 12] C6 × S3 ✗ ✔ ✔ ✔ ✗ [36, 13] C2 × ((C3 × C3) ⋊ϕ C2) ✗ ✗ ✗ ✗ ✗ [36, 14] C6 × C6 ✗ r r r ✗ Page 6 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 [37, 1] C37 ✗ r r r ✗ [38, 1] D19 ✗ ✔ ✔ ✔ ✗ [38, 2] C38 ✗ r r r ✗ [39, 1] C13 ⋊ϕ C3 ✔ ✔ ✗ ✗ ✗ [39, 2] C39 ✗ r r r ✗ [40, 1] C5 ⋊ϕ C8 ✗ ✔ ✔ ✔ ✗ [40, 2] C40 ✗ r r r ✗ [40, 3] C5 ⋊ϕ C8 ✗ ✗ ✗ ✗ ✗ [40, 4] C5 ⋊ϕ Q8 ✗ ✔ ✔ ✔ ✗ [40, 5] C4 × D5 ✗ ✔ ✔ ✔ ✗ [40, 6] D20 ✗ ✔ ✔ ✔ ✗ [40, 7] C2 × (C5 ⋊ϕ C4) ✗ ✔ ✗ ✔ ✗ [40, 8] (C10 × C2) ⋊ϕ C2 ✗ ✔ ✔ ✔ ✗ [40, 9] C20 × C2 ✗ r r r ✗ [40, 10] C5 × D4 ✗ ✔ ✔ ✔ ✗ [40, 11] C5 × Q8 ✗ ✔ ✔ ✔ ✗ [40, 12] C2 × (C5 ⋊ϕ C4) ✗ ✗ ✗ ✗ ✗ [40, 13] C2 × C2 × D5 ✗ ✔ ✗ ✔ ✗ [40, 14] C10 × C2 × C2 ✗ r r r ✗ [41, 1] C41 ✗ r r r ✗ [42, 1] (C7 ⋊ϕ C3) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [42, 2] C2 × (C7 ⋊ϕ C3) ✔ ✔ ✗ ✗ ✗ [42, 3] C7 × S3 ✗ ✔ ✔ ✔ ✗ [42, 4] C3 × D7 ✗ ✔ ✔ ✔ ✗ [42, 5] D21 ✗ ✔ ✔ ✔ ✗ [42, 6] C42 ✗ r r r ✗ [43, 1] C43 ✗ r r r ✗ [44, 1] C11 ⋊ϕ C4 ✗ ✔ ✔ ✔ ✗ [44, 2] C44 ✗ r r r ✗ [44, 3] D22 ✗ ✔ ✔ ✔ ✗ Page 7 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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