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Here are all the PLL cases you need to learn for the 3x3.
Please submit any algorithms that are not included.

Sub Groups:

10

F-perm

59

1.)

R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R

377

2.)

L R2 U R U R2 U' R' U' R2 U' R U2 L' U R'

11

G-perm a

561

1.)

y R2 U (R' U R' U') (R U' R2) D U' (R' U R D') U

58

2.)

y R2' u (R' U R' U' R) u' R2 (y') R' U R

12

G-perm b

562

1.)

y (F' U' F) (R2 u R' U) (R U' R u') R2'

48

2.)

R' U' y F (R2 u R' U) (R U' R u') R2'

13

G-perm c

26

1.)

y (R2 u') R U' R U R' u R2 y (R U' R')

14

G-perm d

57

1.)

(R U R') y' R2 u' (R U' R') U R' u R2

18

N-perm b

56

1.)

(R' U R U') (R' F' U' F) (R U R' F) R' F' (R U' R)

19

R-perm a

49

1.)

y2 R U2 R' U2 R B' R' U' R U R B R2 U

20

R-perm b

50

1.)

R' U2 R U2 R' F (R U R' U') R' F' R2'

21

T-perm

22

1.)

R U R' U' R' F R2 U' R' U' R U R' F'

22

V-perm

568

1.)

R U2 R' D R U' R U' R U R2 D R' U' R D2

51

2.)

R' U R' U' B' R' B2 U' B' U B' R B R

52

3.)

R' U R' d' R' F' R2 U' R' U R' F R F

23

Y-perm

54

1.)

F R U' R' U' R U R' F' R U R' U' R' F R F'

30

J-perm a

569

1.)

(y2) x R2 F R F' R U2 r' U r U2

60

2.)

y (R' U L') U2 (R U' R') U2 R L

168

3.)

L' U' L F L' U' L U L F' L2 U L

31

J-perm b

61

1.)

(R U R' F') (R U R' U') R' F R2 U' R'

32

N-perm a

55

1.)

r' D r U2 r' D r U2 r' D r U2 r' D r U2 r' D r

563

2.)

R U R' U (R U R' F' R U R' U' R' F R2 U' R') U2 R U' R'

3

A-perm a

45

1.)

x (R' U R') D2 (R U' R') D2 R2

4

A-perm b

46

1.)

r U' L D2 L' U L D2 r' L'

24

E-perm

47

1.)

x' (R U' R' D) (R U R' D') (R U R' D) (R U' R' D')

7

H-perm

24

1.)

M2 U' M2 U2 M2 U' M2

8

U-perm a

42

1.)

(R U' R U) R U (R U' R' U') R2

39

Z-perm

44

1.)

R' U' R2 U R U R' U' R U R U' R U' R'

378

2.)

(M2 U M2 U) (M' U2) (M2 U2 M')

41

U-perm b

43

1.)

R' U' R U' R U R2 U R U' R U' R'