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 [64, 114] (C8 × C4) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 115] C8 × D4 ✗ ✔ ✗ ✔ ✗ [64, 116] (C8 × C2 × C2) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 117] (C8 × C4) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 118] C4 × D8 ✗ ✔ ✗ ✔ ✗ [64, 119] C4 × QD 8 ✗ ✔ ✗ ✔ ✗ [64, 120] C4 × Q16 ✗ ✔ ✗ ✔ ✗ [64, 121] (C4 × Q8) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 122] Q16 ⋊ϕ C4 ✗ ✗ ✗ ✗ ✗ [64, 123] (C4 × D4) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 124] (C8 × C4) ⋊ϕ C2 ✗ ✔ ✔ ✔ ✗ [64, 125] ((C4 × C4) ⋊ϕ C2) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 126] C8 × Q8 ✗ ✔ ✗ ✔ ✗ [64, 127] C8 ⋊ϕ Q8 ✗ ✗ ✗ ✗ ✗ [64, 128] (C2 × C2 × D4) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 129] (C2 × C2 × Q8) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 130] (C2 × D8) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 131] (C2 × QD 8) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 132] (C2 × Q16) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 133] (C2 × Q16) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 134] ((C4 × C4) ⋊ϕ C2) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 135] ((C4 × C4) ⋊ϕ C2) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 136] ((C4 × C4) ⋊ϕ C2) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 137] ((C4 × C4) ⋊ϕ C2) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 138] (((C4 × C2) ⋊ϕ C2) ⋊ϕ C2) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 139] (((C4 × C2) ⋊ϕ C2) ⋊ϕ C2) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 140] (C4 × D4) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 141] (C2 × QD 8) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 142] (Q8 ⋊ϕ C4) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 143] C4 ⋊ϕ Q16 ✗ ✗ ✗ ✗ ✗ Page 16 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 [64, 144] (C4 × D4) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 145] (C2 × Q16) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 146] (C8 × C2 × C2) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 147] (C8 × C2 × C2) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 148] (C2 × Q16) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 149] (C2 × (C8 ⋊ϕ C2)) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 150] (C2 × (C8 ⋊ϕ C2)) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 151] (C2 × Q16) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 152] (C2 × QD 8) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 153] (C2 × D8) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 154] (C2 × Q16) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 155] (C8 ⋊ϕ C4) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 156] Q8 ⋊ϕ Q8 ✗ ✗ ✗ ✗ ✗ [64, 157] (C8 ⋊ϕ C4) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 158] Q8 ⋊ϕ Q8 ✗ ✗ ✗ ✗ ✗ [64, 159] (C8 ⋊ϕ C4) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 160] (C4 × C2) → G → (C2 × C2 × C2) ✗ ✗ ✗ ✗ ✗ [64, 161] (C2 × (C4 ⋊ϕ C4)) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 162] (C2 × (C4 ⋊ϕ C4)) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 163] ((C8 × C2) ⋊ϕ C2) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 164] (Q8 ⋊ϕ C4) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 165] (Q8 ⋊ϕ C4) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 166] (C8 ⋊ϕ C4) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 167] (C8 × C4) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 168] (C4 × C2) → G → (C2 × C2 × C2) ✗ ✗ ✗ ✗ ✗ [64, 169] (C8 × C4) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 170] (Q8 ⋊ϕ C4) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 171] ((C8 × C2) ⋊ϕ C2) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 172] (C4 × C2) → G → (C2 × C2 × C2) ✗ ✗ ✗ ✗ ✗ [64, 173] (C8 × C4) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ Page 17 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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