1: op : ¹⁄₃₆

1: [r2 U2 r2 Uw2 r2 Uw2] U2+

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2: Rw2 F2 U2 r2 U2 F2 Rw2

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3: Uw2 Rw2 U2 r2 U2 Rw2 Uw2

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4: (y) Rw2 U2 Rw U2 Rw2 U2 Rw2 U2 Rw U2 Rw2

2: adj : ¹⁄₁₈

(R U R' U) [op1] (U R U' R')

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x R2 F' [op1+] F R2 x'

3: O+ : ¹⁄₇₂

M' U' M2 U' M2 U' M' U2 l2 U2 r2 Uw2 r2 Uw2

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FRUR'U'F' [op1] R'U'FR'F'RUR

4: O- : ¹⁄₇₂

M' U M2 U M2 U M' U2 l2 U2 r2 Uw2 r2 Uw2

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R'U'R'FRF'UR [op1] FURU'R'F'

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R'U'R'FRF'UR [op2] fRUR'U'f'

5: W : ¹⁄₁₈

R' U R' U' R' U' R' U R U' Uw2 r2 Uw2 r2 U2 Rw2

6: Bb : ¹⁄₁₈

R U R' U' R' F R2 U' R' [op] U R U R' F'

7: Da : ¹⁄₁₈

y2 L' U' L U' [op] L F' L2 U L U L' U' L F

8: Ba : ¹⁄₁₈

y2 L' U' L U L F' L2 U L [op] U' L' U' L F

9: Db : ¹⁄₁₈

R U R' U [op] R' F R2 U' R' U' R U R' F'

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Jb-perm [op]

10: Pa : ¹⁄₁₈

Jb-perm U [op]

11: Pb : ¹⁄₁₈

[op] U2 Jb-perm

12: Cb : ¹⁄₁₈

[U'] Rb-perm [op]

13: Ca : ¹⁄₁₈

[op] U Rb-perm

14: M : ¹⁄₁₈

T-perm [op]

15: Kb : ¹⁄₁₈

Lw2 Dww R2 U' L2 U R2 Dww r2 U2 F2 Rw2 (Ooms)

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[op] --> A-perm

16: Ka : ¹⁄₁₈

Lw2 Dww' R2 U L2 U' R2 Dww' r2 U2 B2 Rw2 (Ooms)

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[op] --> A-perm

17 : ¹⁄₁₈

T-perm U/U' [op]

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(R U R' F') U' [op] U' (R U R' U') R' F R2 U' R' U'

18: Sb : ¹⁄₁₈

y' z U2 R' U2 Rw2 B2 R U2 Rw2 R' U2 R2 B2 Rw2 R U2 z' (Gallet)

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[op] U' Y-perm

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F R U' R' U [op] R U R' F' RUR'U'R'F'RF'

19: Sa : ¹⁄₁₈

y' z U2 R U2 Rw2 F2 R' U2 Rw2 R U2 R2 F2 Rw2 R' U2 z' (Gallet)

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[op] Y-perm

20: Q : ¹⁄₇₂

E-perm U [op]
FRU'R'U'RUR'F' [op1+] RUR'U'R'FRF'

21: X : ¹⁄₇₂

E-perm [op1] U

22 : ¹⁄₃₆

FRU'R'U'RUR'F' U [op] U RUR'U'R'FRF'