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 [95, 1] C95 ✗ r r r ✗ [96, 1] C3 ⋊ϕ C32 ✗ ✔ ✔ ✔ ✗ [96, 2] C96 ✗ r r r ✗ [96, 3] ((C4 × C2) ⋊ϕ C4) ⋊ϕ C3 ✔ ✗ ✗ ✗ ✔ [96, 4] C16 × S3 ✗ ✔ ✔ ✔ ✗ [96, 5] C48 ⋊ϕ C2 ✗ ✔ ✔ ✔ ✗ [96, 6] D48 ✗ ✔ ✔ ✔ ✗ [96, 7] C48 ⋊ϕ C2 ✗ ✔ ✔ ✔ ✗ [96, 8] C3 ⋊ϕ Q32 ✗ ✔ ✔ ✔ ✗ [96, 9] C4 × (C3 ⋊ϕ C8) ✗ ✔ ✗ ✔ ✗ [96, 10] (C3 ⋊ϕ C8) ⋊ϕ C4 ✗ ✔ ✗ ✔ ✗ [96, 11] C12 ⋊ϕ C8 ✗ ✔ ✗ ✔ ✗ [96, 12] (C12 × C4) ⋊ϕ C2 ✗ ✔ ✔ ✔ ✗ [96, 13] (C3 × ((C4 × C2) ⋊ϕ C2)) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 14] (C3 ⋊ϕ C8) ⋊ϕ C4 ✗ ✗ ✗ ✗ ✗ [96, 15] (C3 ⋊ϕ C8) ⋊ϕ C4 ✗ ✗ ✗ ✗ ✗ [96, 16] (C2 × (C3 ⋊ϕ C8)) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 17] (C3 ⋊ϕ Q8) ⋊ϕ C4 ✗ ✗ ✗ ✗ ✗ [96, 18] C2 × (C3 ⋊ϕ C16) ✗ ✔ ✗ ✔ ✗ [96, 19] (C3 ⋊ϕ C16) ⋊ϕ C2 ✗ ✔ ✔ ✔ ✗ [96, 20] C8 × (C3 ⋊ϕ C4) ✗ ✔ ✗ ✔ ✗ [96, 21] (C3 ⋊ϕ C4) ⋊ϕ C8 ✗ ✔ ✗ ✔ ✗ [96, 22] C24 ⋊ϕ C4 ✗ ✔ ✗ ✔ ✗ [96, 23] (C3 ⋊ϕ Q8) ⋊ϕ C4 ✗ ✔ ✗ ✔ ✗ [96, 24] C24 ⋊ϕ C4 ✗ ✔ ✗ ✔ ✗ [96, 25] C24 ⋊ϕ C4 ✗ ✔ ✗ ✔ ✗ [96, 26] C4 → G → (C4 × C2)) ✗ ✔ ✔ ✔ ✗ [96, 27] (C24 × C2) ⋊ϕ C2 ✗ ✔ ✗ ✔ ✗ [96, 28] (C24 × C2) ⋊ϕ C2 ✗ ✔ ✗ ✔ ✗ [96, 29] C4 → G → (C4 × C2)) ✗ ✗ ✗ ✗ ✗ Page 28 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, 30] (C3 × (C8 ⋊ϕ C2)) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 31] (C2 × C2) → G → (C4 × C2)) ✗ ✗ ✗ ✗ ✗ [96, 32] (C3 × (C8 ⋊ϕ C2)) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 33] (C3 × D8) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 34] (C3 ⋊ϕ C16) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 35] (C3 × Q16) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 36] C3 ⋊ϕ Q32 ✗ ✗ ✗ ✗ ✗ [96, 37] (C2 × (C3 ⋊ϕ C8)) ⋊ϕ C2 ✗ ✔ ✗ ✔ ✗ [96, 38] (C12 × C2) ⋊ϕ C4 ✗ ✗ ✗ ✗ ✗ [96, 39] (C2 × (C3 ⋊ϕ C8)) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 40] ((C3 ⋊ϕ C8) ⋊ϕ C2) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 41] ((C2 × (C3 ⋊ϕ C4)) ⋊ϕ C2) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 42] (C3 × Q8) ⋊ϕ C4 ✗ ✗ ✗ ✗ ✗ [96, 43] (C2 × C2) → G → (C4 × C2)) ✗ ✗ ✗ ✗ ✗ [96, 44] (C4 × (C3 ⋊ϕ C4)) ⋊ϕ C2 ✗ ✗ ✗ ✗ ✗ [96, 45] C3 × ((C4 × C2) ⋊ϕ C4) ✗ ✗ ✗ ✗ ✗ [96, 46] C24 × C4 ✗ r r r ✗ [96, 47] C3 × (C8 ⋊ϕ C4) ✗ ✔ ✗ ✔ ✗ [96, 48] C3 × ((C8 × C2) ⋊ϕ C2) ✗ ✔ ✗ ✔ ✗ [96, 49] C3 × (((C4 × C2) ⋊ϕ C2) ⋊ϕ C2) ✗ ✗ ✗ ✗ ✗ [96, 50] C3 × ((C8 ⋊ϕ C2) ⋊ϕ C2) ✗ ✗ ✗ ✗ ✗ [96, 51] (C2 × C2) → G → (C4 × C2)) ✗ ✗ ✗ ✗ ✗ [96, 52] C3 × ((C8 × C2) ⋊ϕ C2) ✗ ✔ ✗ ✔ ✗ [96, 53] C3 × (Q8 ⋊ϕ C4) ✗ ✔ ✗ ✔ ✗ [96, 54] C3 × ((C4 × C4) ⋊ϕ C2) ✗ ✔ ✔ ✔ ✗ [96, 55] C3 × (C4 ⋊ϕ C8) ✗ ✔ ✗ ✔ ✗ [96, 56] C3 × (C8 ⋊ϕ C4) ✗ ✔ ✗ ✔ ✗ [96, 57] C3 × (C8 ⋊ϕ C4) ✗ ✔ ✗ ✔ ✗ [96, 58] C4 → G → (C4 × C2)) ✗ ✔ ✔ ✔ ✗ [96, 59] C48 × C2 ✗ r r r ✗ Page 29 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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