PLL parity
Standard
Since the 2000s
Every case cross-checked
Swap two dedges (or a pair of corners) on a 4x4's last layer: 22 cases.
Edge Swap
OPP Parity
2R2 U2 2R2 Uw2 2R2 Uw2
9 HTM · 43 algs
Adj Parity
R' U R U' 2R2 U2' 2R2 Uw2' 2R2 Uw2' U' R' U' R
17 HTM · 40 algs
CwO
u2 2R2 u2 2R2 U2 2R2 U R' U' R U' R U R U' R' U R U R2 U' R'
25 HTM · 65 algs
CcwO
Uw2 2L2 Uw2 2L2 U2 3Rw' Rw2 R' U2 M2 U2 M' U M2 U M2
22 HTM · 64 algs
W
R' U R' U' R' U' R' U R U Rw2 U2 2R2 Uw2 2R2 Uw2
18 HTM · 28 algs
Adj Corner Swap
Pj
R U R' U' R' F R2 U' R' U' R U R' F' U' 2L2 U2 2L2 Uw2 2L2 Uw2
24 HTM · 33 algs
Ba
Uw2 2L2 Uw2 2L2 U2 2L2 U R U R' F' R U R' U' R' F R2 U' R'
23 HTM · 9 algs
Bb
(U) y x Rw2 U2 Rw2 Uw2 2R2 Uw2 B 3Rw' U R' U2 L U' R
15 HTM · 10 algs
Ca
(U2) y2 Uw2 2R2 Uw2 2R2 U2 Rw2 F R U R U' R' F' R U2 R' U2 R
20 HTM · 10 algs
Cb
(U) y R' U2 R U2 R' F R U R' U' R' F' Rw2 U2 2R2 Uw2 2R2 Uw2
20 HTM · 11 algs
Da
R' U L' U2 R U' 3Rw B Rw2 U2 Rw2 Uw2 2R2 Uw2 x'
15 HTM · 11 algs
Db
R U R' F' R U R' U' R' F R2 U' R' u2 2R2 u2 2R2 U2 2R2
22 HTM · 12 algs
Ka
(U) y 3Lw' U R' D2 R U' R' D2 x' Rw2 U2 2R2 Uw2 2R2 Uw2
16 HTM · 13 algs
Kb
r2 F2 U2 r2 R2 U2 x R' D' R U2 R' D R r2 x' U'
15 HTM · 16 algs
M
(U2) y2 Rw2 F2 U2 2R2 U R' U' R U R' D R D' R F2 U Rw2
18 HTM · 11 algs
Pa
R U R' F' R U R' U' R' F R2 U' R' U' 2R2 U2 2R2 u2 2R2 u2
23 HTM · 10 algs
Pb
2R2 U2 2R2 u2 2R2 u2 R U R' F' R U R' U' R' F R2 U' R'
22 HTM · 10 algs
Diag Corner Swap
Diag C
F R U' R' U' R U R' F' U' 2R2 U2 2R2 u2 2R2 u2 U' R U R' U' R' F R F'
28 HTM · 36 algs
Q
z Rw2 Uw2' R2' Uw2' F R U R' U' R U R' U' R U R' U' F' U2' R2 Uw2' Rw2' z'
22 HTM · 15 algs
Sa
F R U' R' U' R U R' F' R U R' U' R' F R F' U' 2R2 U2 2R2 u2 2R2 u2
27 HTM · 10 algs
Sb
F R U' R' U' R U R' F' R U R' U' R' F R F' 2R2 U2 2R2 u2 2R2 u2
26 HTM · 10 algs
X
Rw2 F2 U2 Rw2 F' U' R' U R U' R' U R U' R' U R F R2 U2 F2 Rw2
22 HTM · 13 algs
Source: SpeedCubeDB, https://speedcubedb.com/a/4x4/PLLParity, retrieved 2026-10-29: case names, groups, setups and images, and the top-voted algorithms per case with their votes. More algorithms and cases: Cubemuch, https://cubemuch.com/en/algs/4x4/pll-parity/, retrieved 2026-10-29, each matched to its case by the engine. Every algorithm shown was checked by the logic engine; rejected ones are listed in docs/db-exclusions.md.