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, 120] QD 8 × S3 ✗ ✗ ✗ ✗ ✗ [96, 121] (D4 × S3) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 122] (Q8 × S3) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 123] (C8 × S3) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 124] Q16 × S3 ✗ ✗ ✗ ✗ ✗ [96, 125] (C3 × Q16) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 126] (C8 × S3) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 127] C2 × C2 × (C3 ⋊ϕ C8) ✗ ✗ ✗ ✗ ✗ [96, 128] C2 × ((C3 ⋊ϕ C8) ⋊ϕ C2) ✗ ✔ ✗ ✔ ✗ [96, 129] C2 × C4 × (C3 ⋊ϕ C4) ✗ ✗ ✗ ✗ ✗ [96, 130] C2 × ((C3 ⋊ϕ C4) ⋊ϕ C4) ✗ ✗ ✗ ✗ ✗ [96, 131] (C2 × (C3 ⋊ϕ Q8)) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 132] C2 × (C12 ⋊ϕ C4) ✗ ✗ ✗ ✗ ✗ [96, 133] (C4 × (C3 ⋊ϕ C4)) ⋊ϕ C2 ✗ ✔ ✗ ✔ ✗ [96, 134] C2 × ((C12 × C2) ⋊ϕ C2) ✗ ✗ ✗ ✗ ✗ [96, 135] C4 × ((C6 × C2) ⋊ϕ C2) ✗ ✔ ✗ ✔ ✗ [96, 136] (C12 × C2 × C2) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 137] (C12 × C2 × C2) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 138] C2 × ((C3 × D4) ⋊ϕ C2) ✗ ✗ ✗ ✗ ✗ [96, 139] (C6 × D4) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 140] C2 × ((C3 ⋊ϕ C8) ⋊ϕ C2) ✗ ✗ ✗ ✗ ✗ [96, 141] D4 × (C3 ⋊ϕ C4) ✗ ✗ ✗ ✗ ✗ [96, 142] (C2 × C2 × (C3 ⋊ϕ C4)) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 143] (C2 × (C3 ⋊ϕ Q8)) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 144] (C2 × C2 × C2 × S3) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 145] (C6 × D4) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 146] (C2 × C2 × (C3 ⋊ϕ C4)) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 147] (C6 × D4) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 148] C2 × ((C3 × Q8) ⋊ϕ C2) ✗ ✗ ✗ ✗ ✗ [96, 149] (C6 × Q8) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ Page 32 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, 150] C2 × (C3 ⋊ϕ Q16) ✗ ✗ ✗ ✗ ✗ [96, 151] (C3 ⋊ϕ C4) ⋊ϕ Q8 ✗ ✗ ✗ ✗ ✗ [96, 152] Q8 × (C3 ⋊ϕ C4) ✗ ✗ ✗ ✗ ✗ [96, 153] (C6 × Q8) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 154] (C6 × Q8) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 155] (C2 × (C3 ⋊ϕ C8)) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 156] (C2 × D12) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 157] (C2 × (C3 ⋊ϕ C8)) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 158] (C2 × (C3 ⋊ϕ Q8)) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 159] C2 × ((C2 × (C3 ⋊ϕ C4)) ⋊ϕ C2) ✗ ✗ ✗ ✗ ✗ [96, 160] (C6 × C2 × C2 × C2) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 161] C12 × C4 × C2 ✗ r r r ✗ [96, 162] C6 × ((C4 × C2) ⋊ϕ C2) ✗ ✗ ✗ ✗ ✗ [96, 163] C6 × (C4 ⋊ϕ C4) ✗ ✗ ✗ ✗ ✗ [96, 164] C3 × ((C4 × C4) ⋊ϕ C2) ✗ ✔ ✗ ✔ ✗ [96, 165] C12 × D4 ✗ ✔ ✗ ✔ ✗ [96, 166] C12 × Q8 ✗ ✔ ✗ ✔ ✗ [96, 167] C3 × ((C2 × C2 × C2 × C2) ⋊ϕ C2) ✗ ✗ ✗ ✗ ✗ [96, 168] C3 × ((C4 × C2 × C2) ⋊ϕ C2) ✗ ✗ ✗ ✗ ✗ [96, 169] C3 × ((C2 × Q8) ⋊ϕ C2) ✗ ✗ ✗ ✗ ✗ [96, 170] C3 × ((C4 × C2 × C2) ⋊ϕ C2) ✗ ✗ ✗ ✗ ✗ [96, 171] C3 × ((C4 × C4) ⋊ϕ C2) ✗ ✗ ✗ ✗ ✗ [96, 172] C3 × ((C2 × C2) → G → (C2 × C2 × C2)) ✗ ✗ ✗ ✗ ✗ [96, 173] C3 × ((C4 × C4) ⋊ϕ C2) ✗ ✗ ✗ ✗ ✗ [96, 174] C3 × ((C4 × C4) ⋊ϕ C2) ✗ ✗ ✗ ✗ ✗ [96, 175] C3 × (C4 ⋊ϕ Q8) ✗ ✗ ✗ ✗ ✗ [96, 176] C24 × C2 × C2 ✗ r r r ✗ [96, 177] C6 × (C8 ⋊ϕ C2) ✗ ✔ ✗ ✔ ✗ [96, 178] C3 × ((C8 × C2) ⋊ϕ C2) ✗ ✔ ✔ ✔ ✗ [96, 179] C6 × D8 ✗ ✔ ✗ ✔ ✗ Page 33 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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