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 [96, 60] C3 × (C16 ⋊ϕ C2) ✗ ✔ ✔ ✔ ✗ [96, 61] C3 × D16 ✗ ✔ ✔ ✔ ✗ [96, 62] C3 × QD 16 ✗ ✔ ✔ ✔ ✗ [96, 63] C3 × Q32 ✗ ✔ ✔ ✔ ✗ [96, 64] ((C4 × C4) ⋊ϕ C3) ⋊ϕ C2 ✔ ✔ ✗ ✗ ✔ [96, 65] A4 ⋊ϕ C8 ✔ ✔ ✗ ✗ ✔ [96, 66] SL(2, 3) ⋊ϕ C4 ✔ ✔ ✗ ✔ ✗ [96, 67] SL(2, 3) ⋊ϕ C4 ✔ ✔ ✔ ✔ ✗ [96, 68] C2 × ((C4 × C4) ⋊ϕ C3) ✔ ✔ ✗ ✗ ✔ [96, 69] C4 × SL(2, 3) ✔ ✔ ✗ ✔ ✗ [96, 70] ((C2 × C2 × C2 × C2) ⋊ϕ C3) ⋊ϕ C2 ✔ ✗ ✗ ✗ ✔ [96, 71] ((C4 × C4) ⋊ϕ C3) ⋊ϕ C2 ✔ ✗ ✗ ✗ ✔ [96, 72] ((C4 × C4) ⋊ϕ C3) ⋊ϕ C2 ✔ ✗ ✗ ✗ ✔ [96, 73] C8 × A4 ✔ ✔ ✗ ✗ ✔ [96, 74] ((C8 × C2) ⋊ϕ C2) ⋊ϕ C3 ✔ ✔ ✔ ✔ ✗ [96, 75] C4 × (C3 ⋊ϕ Q8) ✗ ✔ ✗ ✔ ✗ [96, 76] C12 ⋊ϕ Q8 ✗ ✗ ✗ ✗ ✗ [96, 77] C3 ⋊ϕ ((C2 × C2) → G → (C2 × C2 × C2)) ✗ ✗ ✗ ✗ ✗ [96, 78] C4 × C4 × S3 ✗ ✔ ✗ ✔ ✗ [96, 79] (C12 × C4) ⋊ϕ C2 ✗ ✔ ✗ ✔ ✗ [96, 80] C4 × D12 ✗ ✔ ✗ ✔ ✗ [96, 81] (C12 × C4) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 82] (C12 × C4) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 83] (C12 × C4) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 84] (C4 × (C3 ⋊ϕ C4)) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 85] (C2 × (C3 ⋊ϕ Q8)) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 86] (C4 × (C3 ⋊ϕ C4)) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 87] ((C4 × C2) ⋊ϕ C2) × S3 ✗ ✗ ✗ ✗ ✗ [96, 88] (C2 × C4 × S3) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 89] (C2 × C2 × C2 × S3) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ Page 30 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 [96, 90] (C2 × C4 × S3) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 91] (C2 × C4 × S3) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 92] (C2 × (C3 ⋊ϕ Q8)) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 93] (C2 × C2 × (C3 ⋊ϕ C4)) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 94] (C3 ⋊ϕ Q8) ⋊ϕ C4 ✗ ✗ ✗ ✗ ✗ [96, 95] C12 ⋊ϕ Q8 ✗ ✗ ✗ ✗ ✗ [96, 96] C3 ⋊ϕ ((C2 × C2) → G → (C2 × C2 × C2)) ✗ ✗ ✗ ✗ ✗ [96, 97] C3 ⋊ϕ ((C2 × C2) → G → (C2 × C2 × C2)) ✗ ✗ ✗ ✗ ✗ [96, 98] (C4 ⋊ϕ C4) × S3 ✗ ✗ ✗ ✗ ✗ [96, 99] (C4 × (C3 ⋊ϕ C4)) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 100] (C2 × C4 × S3) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 101] (C2 × C4 × S3) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 102] (C2 × C4 × S3) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 103] (C2 × (C3 ⋊ϕ Q8)) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 104] (C3 × (C4 ⋊ϕ C4)) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 105] (C3 × (C4 ⋊ϕ C4)) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 106] C2 × C8 × S3 ✗ ✔ ✗ ✔ ✗ [96, 107] C2 × (C24 ⋊ϕ C2) ✗ ✔ ✗ ✔ ✗ [96, 108] (C24 × C2) ⋊ϕ C2 ✗ ✔ ✔ ✔ ✗ [96, 109] C2 × (C24 ⋊ϕ C2) ✗ ✔ ✗ ✔ ✗ [96, 110] C2 × D24 ✗ ✔ ✗ ✔ ✗ [96, 111] (C24 × C2) ⋊ϕ C2 ✗ ✔ ✔ ✔ ✗ [96, 112] C2 × (C3 ⋊ϕ Q16) ✗ ✔ ✗ ✔ ✗ [96, 113] (C8 ⋊ϕ C2) × S3 ✗ ✗ ✗ ✗ ✗ [96, 114] (C8 × S3) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 115] (C2 × D12) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 116] (C3 × (C8 ⋊ϕ C2)) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 117] D8 × S3 ✗ ✗ ✗ ✗ ✗ [96, 118] (D4 × S3) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 119] (C8 × S3) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ Page 31 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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