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, 234] (C4 × D4) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 235] (C4 × Q8) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 236] (C4 × D4) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 237] (C4 × Q8) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 238] Q8 ⋊ϕ Q8 ✗ ✗ ✗ ✗ ✗ [64, 239] Q8 × Q8 ✗ ✗ ✗ ✗ ✗ [64, 240] (C4 × D4) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 241] ((C4 × C2 × C2) ⋊ϕ C2) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 242] ((C4 × C4) ⋊ϕ C2) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 243] ((C2 × C2) → G → (C2 × C2 × C2)) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 244] ((C4 × C4) ⋊ϕ C2) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 245] (C2 × C2) → G → (C2 × C2 × C2 × C2) ✗ ✗ ✗ ✗ ✗ [64, 246] C8 × C2 × C2 × C2 ✗ r r r ✗ [64, 247] C2 × C2 × (C8 ⋊ϕ C2) ✗ ✗ ✗ ✗ ✗ [64, 248] C2 × ((C8 × C2) ⋊ϕ C2) ✗ ✔ ✗ ✔ ✗ [64, 249] (C2 × (C8 ⋊ϕ C2)) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 250] C2 × C2 × D8 ✗ ✗ ✗ ✗ ✗ [64, 251] C2 × C2 × QD 8 ✗ ✗ ✗ ✗ ✗ [64, 252] C2 × C2 × Q16 ✗ ✗ ✗ ✗ ✗ [64, 253] C2 × ((C8 × C2) ⋊ϕ C2) ✗ ✔ ✗ ✔ ✗ [64, 254] C2 × ((C2 × D4) ⋊ϕ C2) ✗ ✗ ✗ ✗ ✗ [64, 255] C2 × ((C2 × Q8) ⋊ϕ C2) ✗ ✗ ✗ ✗ ✗ [64, 256] (C2 × (C8 ⋊ϕ C2)) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 257] (C2 × D8) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 258] (C2 × QD 8) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 259] (C2 × Q16) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 260] C4 × C2 × C2 × C2 × C2 ✗ r r r ✗ [64, 261] C2 × C2 × C2 × D4 ✗ ✗ ✗ ✗ ✗ [64, 262] C2 × C2 × C2 × Q8 ✗ ✗ ✗ ✗ ✗ [64, 263] C2 × C2 × ((C4 × C2) ⋊ϕ C2) ✗ ✗ ✗ ✗ ✗ Page 20 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, 264] C2 × ((C2 × D4) ⋊ϕ C2) ✗ ✗ ✗ ✗ ✗ [64, 265] C2 × ((C2 × Q8) ⋊ϕ C2) ✗ ✗ ✗ ✗ ✗ [64, 266] (C2 × ((C4 × C2) ⋊ϕ C2)) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [64, 267] C2 × C2 × C2 × C2 × C2 × C2 ✗ r r r ✗ [65, 1] C65 ✗ r r r ✗ [66, 1] C11 × S3 ✗ ✔ ✔ ✔ ✗ [66, 2] C3 × D11 ✗ ✔ ✔ ✔ ✗ [66, 3] D33 ✗ ✔ ✔ ✔ ✗ [66, 4] C66 ✗ r r r ✗ [67, 1] C67 ✗ r r r ✗ [68, 1] C17 ⋊ϕ C4 ✗ ✔ ✔ ✔ ✗ [68, 2] C68 ✗ r r r ✗ [68, 3] C17 ⋊ϕ C4 ✗ ✗ ✗ ✗ ✗ [68, 4] D34 ✗ ✔ ✔ ✔ ✗ [68, 5] C34 × C2 ✗ r r r ✗ [69, 1] C69 ✗ r r r ✗ [70, 1] C7 × D5 ✗ ✔ ✔ ✔ ✗ [70, 2] C5 × D7 ✗ ✔ ✔ ✔ ✗ [70, 3] D35 ✗ ✔ ✔ ✔ ✗ [70, 4] C70 ✗ r r r ✗ [71, 1] C71 ✗ r r r ✗ [72, 1] C9 ⋊ϕ C8 ✗ ✔ ✔ ✔ ✗ [72, 2] C72 ✗ r r r ✗ [72, 3] Q8 ⋊ϕ C9 ✔ ✔ ✔ ✔ ✗ [72, 4] C9 ⋊ϕ Q8 ✗ ✔ ✔ ✔ ✗ [72, 5] C4 × D9 ✗ ✔ ✔ ✔ ✗ [72, 6] D36 ✗ ✔ ✔ ✔ ✗ [72, 7] C2 × (C9 ⋊ϕ C4) ✗ ✔ ✗ ✔ ✗ [72, 8] (C18 × C2) ⋊ϕ C2 ✗ ✔ ✔ ✔ ✗ [72, 9] C36 × C2 ✗ r r r ✗ Page 21 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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