Megaminx PLL
Permute the whole last layer in one look: 147 cases.
A - 3 corner CP
E - 4 corner CP
K - 5 corner CP
H - 5 piece EP/CP
U - 3 edge EP
Z - 4 edge EP
Q - 5 edge EP
J - J block
J1+
R U R' F' R U R' U' R' F R2 U' R'
13 HTM · 2 algs
J1-
F U' R' F R2 U' R' U' R U R' F' R U R' F'
16 HTM · 1 alg
J2+
(U2) U2 R' U' R U' R U R2' U R U' F' R U R' U' R' F R2 U' R'
21 HTM · 2 algs
J2-
R U2 R' U2' R U' R' U' R' U2' R U R' U R2 U R'
17 HTM · 2 algs
J3+
(U2) R U R2' F' R U R U' R' F U R' U' R2 U' R' U R' U R U2'
21 HTM · 3 algs
J3-
R U' R2' U' R U' R' U2 R U R U R' U2 R U2' R'
17 HTM · 2 algs
D - 3x1 and 2x2
F - 3x1 and 1 or 2 2x1s or R block
F1+
R2' U2 R2 U R2' U2 R2
7 HTM · 2 algs
F1-
R2 U2' R2' U' R2 U2' R2'
7 HTM · 1 alg
F2+
R U R' U2 R' U2' R2 U' R' U R' U2 R
13 HTM · 1 alg
F2-
(U2) U2' R' U' R U2' R U2 R2' U R U' R U2' R'
14 HTM · 2 algs
F3+
(U2) U2' R' U2' R U' R U R2' U2 R U2' R U' R'
14 HTM · 2 algs
F3-
R U2 R' U R' U' R2 U2' R' U2 R' U R
13 HTM · 1 alg
F4+
R U R' U R2 U2' R2' U2' R U2 R U2 R' U2' R'
15 HTM · 1 alg
F4-
R' U' R U' R2' U2 R2 U2 R' U2' R' U2' R U2 R
15 HTM · 1 alg
F5+
R U2 R U2' R' U2' R' U2 R2 U2 R2' U' R U' R'
15 HTM · 1 alg
F5-
R' U2' R' U2 R U2 R U2' R2' U2' R2 U R' U R
15 HTM · 1 alg
Y - 2 2x1s in Y pattern
Y1+
F R U' R' U' R U R' F' R U R' U' R' F R F'
17 HTM · 1 alg
Y1-
F R' F' R U R U' R' F R U' R' U R U R' F'
17 HTM · 1 alg
Y2+
(U) U' R2 U2' R2' U2 R2 U' R2' U2 R2 U2' R2'
12 HTM · 4 algs
Y2-
R2' U2 R2 U2' R2' U R2 U2' R2' U2 R2
11 HTM · 2 algs
Y3+
(U2') U2' R2 U R2' U R2 U2' R2' U2 R2 U R2' U R2 U2' R2'
16 HTM · 3 algs
Y3-
(U2') U R2' U' R2 U' R2' U2 R2 U2' R2' U' R2 U' R2' U2 R2
16 HTM · 4 algs
V - 2x2 and 2x1
V1-
R U2 R2' F R F' R U' R' F' U F R U' R'
15 HTM · 2 algs
V2-
(U2') U2 R U' R' F U R U' R' F' R U R' F' U' F R U R'
19 HTM · 4 algs
V3+
R U R2 U' R' U' R U R' U' R' U R2' U R U' R
17 HTM · 1 alg
V3-
(U) R' U' R2' U R U R' U' R U R U' R2 U' R' U R'
17 HTM · 2 algs
V4+
R' U R' U' R2 U' R U R U' R' U R U R2' U' R'
17 HTM · 2 algs
V4-
(U2') R U' R U R2' U R' U' R' U R U' R' U' R2 U R
17 HTM · 2 algs
B - Double R block
R - R block and 2x1
R1+
R' U2 R U' R2' U2 R2 U R' U' R' U2' R U' R
15 HTM · 1 alg
R1-
(U2) U2' R U2' R' U R2 U2' R2' U' R U R U2 R' U R'
16 HTM · 2 algs
R2+
R' U R' U2 R U R U' R2' U2' R2 U R' U2' R
15 HTM · 1 alg
R2-
(U2) U2' R U' R U2' R' U' R' U R2 U2 R2' U' R U2 R'
16 HTM · 2 algs
R3+
(U2) U2' R U R2' U R U R U' R' U' R U' R2' U' R U' R' U R
20 HTM · 2 algs
R3-
R' U' R2 U' R' U' R' U R U R' U R2 U R' U R U' R'
19 HTM · 1 alg
R4+
(U') U R' U' R U R' U R2 U R' U R U R' U' R' U' R2 U' R'
20 HTM · 2 algs
R4-
(U2') U2 R U R' U' R U' R2' U' R U' R' U' R U R U R2' U R
20 HTM · 2 algs
P - R block
P1+
L F R' F' L' F R2 U R' U R U2' R' F'
14 HTM · 2 algs
P1-
R' U' R' F R U R U' R' y' R2' U' R U' R' U2 R BR
17 HTM · 3 algs
P2+
F R U2 R' U' R U' R2' F' L F R F' L'
14 HTM · 2 algs
P2-
(U2) U2' BR' R' U2' R U R' U R2 y R U R' U' R' F' R U R
18 HTM · 2 algs
P3+
(U) U2' R U R2' U R2 U2' R' U' R' U2 R' U' R2 U' R2' U2 R2
18 HTM · 2 algs
P3-
(U) R' U' R2 U' R2' U2 R U R U2' R U R2' U R2 U2' R2'
17 HTM · 2 algs
P4+
(U2') U2' R2' U2' R2 U R2' U R U2' R U R U2 R2' U' R2 U' R'
18 HTM · 2 algs
P4-
(U') R2 U2 R2' U' R2 U' R' U2 R' U' R' U2' R2 U R2' U R
17 HTM · 2 algs
N - 5 2x1s
C - 2 2x1s touching
C1+
(U) U2' R U R' U2' R' U2' R U' R U R2' U2 R U2' R U2' R'
18 HTM · 4 algs
C1-
(U) U' R' U2' R U2' R U2 R2' U R U' R U2' R' U2' R' U R
18 HTM · 3 algs
C2+
(U) U R' U2' R U' R' U2 R2 U R2' U R2 U2' R' U R' U R
18 HTM · 3 algs
C2-
(U) U' R U R' U R' U2' R2 U R2' U R2 U2 R' U' R U2' R'
18 HTM · 3 algs
C3+
(U') U R2' U2 R2 U R2' U' R2 U2' R2' U' R2 U2 R2' U2' R2
16 HTM · 3 algs
C3-
(U2') U2 R2 U2' R2' U' R2 U R2' U2 R2 U R2' U2' R2 U2 R2'
16 HTM · 3 algs
C4+
(U') U R2' U2' R2 U' R2' U2' R2 U' R2 U2 R2' U R2 U2 R2'
16 HTM · 3 algs
C4-
(U2') U2 R2' U2 R2 U R2' U2 R2 U R2' U2' R2 U' R2' U2' R2
16 HTM · 3 algs
C5+
(U) R U2 R' U2 R U2 R U2 R' U R' U' R2 U2' R' U' R'
17 HTM · 3 algs
C5-
(U) U' R U2 R' BR' U R U R' U' BR U' R U2' R'
15 HTM · 3 algs
C6+
(U) U' R U' R' U2 R2 U R' U2 R U' R' U' R U' R' U' R'
18 HTM · 2 algs
C6-
(U) U' R' U R U2' R2' U' R U2' R' U R U R' U R U R
18 HTM · 2 algs
T - 2, 3 or 4 2x1s in these patterns
T1
R U R' U' R' F R2 U' R' U' R U R' F'
14 HTM · 1 alg
T2+
R' U2' R U2 R' F R U R' U' R' F' R2
13 HTM · 1 alg
T3+
(U2) U2' R2' U2 R2 U R2' U' R2 U R2' U2 R2
12 HTM · 2 algs
T4+
R U R' F' R U R' U' R' F R U' R' F R2 U' R' U' R U R' F'
22 HTM · 3 algs
T2-
(U2') U2 R2' F R U R U' R' F' R U2' R' U2 R
14 HTM · 3 algs
T3-
R2 U2' R2' U' R2 U R2' U' R2 U2' R2'
11 HTM · 1 alg
T4-
(U) R' U' R U' R2' U2 R2 U R2' U2 R2 U2 R' U R
15 HTM · 2 algs
S - 2 2x1s, not touching
S1+
(U2) U2' R U R' U2 R U2 R' U' R' U' R U' R' U2 R
16 HTM · 2 algs
S1-
R' U' R U2' R' U2' R U R U R' U R U2' R'
15 HTM · 1 alg
S2+
R2 U2' R2' U2' R2 U' R' U2 R' U' R' U2' R2 U R2' U R
17 HTM · 1 alg
S2-
(U2) R U2' R' U2 R U2 R2' U2 R2 U R' U R U' R' U' R' U2' R
19 HTM · 2 algs
S3+
(U') R' U' R2 U' R2' U2 R U R U2' R U R2' U2 R2 U2 R2'
17 HTM · 2 algs
S3-
(U2') U2' R U R2' U R2 U2' R' U' R' U2 R' U' R2 U2' R2' U2' R2
18 HTM · 3 algs
S4+
(U) U' R2' U2' R2 U' R2' U2' R2 U R2' U2 R2 U R2' U2 R2
16 HTM · 3 algs
S4-
(U) U' R2' U2 R2 U R2' U2 R2 U' R2' U2' R2 U' R2' U2' R2
16 HTM · 3 algs
S5+
(U') U R' U2' R L U2' R' U R U2 L' U' R' U2 R
15 HTM · 3 algs
S5-
(U2') U R' U' R' U2' R2 U' R' U R' U2 R U2 R U2 R' U2 R
18 HTM · 3 algs
S6+
(U') U R U R U R' U R U R' U2' R U' R2' U2' R U R'
18 HTM · 2 algs
S6-
(U2') U2 R' U' R' U' R U' R' U' R U2 R' U R2 U2 R' U' R
18 HTM · 3 algs
G - 2x1 and headlights
I - 2x1
I1+
R2' U2 R2 U R2' F2 U' R2 U R2' U F2' U R2
14 HTM · 2 algs
I2+
R2' U' F2 U' R2 U' R2' U F2' R2 U' R2' U2' R2
14 HTM · 2 algs
I3+
(U2') U R2 U R2' U R2 U2' R2' U2 y' R2' U' R2 U2' R2' U2' R2
16 HTM · 3 algs
I3-
(U') U' R2 U2' R2' U2' R2 U' R2' U2 y' R2' U2' R2 U R2' U R2
16 HTM · 3 algs
I4+
(U2') U2 R' U' R' U2' F' R U R U' R' F R' U2 R U R
17 HTM · 3 algs
I4-
(U2') U2 R' U2 R U R' U R' U2' R U R' U R2 U' R' U2 R
18 HTM · 2 algs
I5+
(U2') U2 R' U' R' U2' R F' R U R' U' R' F U2 R U R
17 HTM · 3 algs
I5-
(U') U R' U2' R U R2' U' R U' R' U2 R U' R U' R' U2' R
18 HTM · 2 algs
I6+
U' R U2' R2 U2' R' U2' R U' R2' U' R' U' R U' R' U' R2 U R2'
20 HTM · 2 algs
I6-
(U') U R2' U R2 U' R' U' R U' R' U' R2' U' R U2' R' U2' R2 U2' R
20 HTM · 4 algs
L - Double headlights
L1
R' U2 R U R' U R U' R' U2 R U' R U R' U R U2' R'
19 HTM · 1 alg
L2
(U2') R U2 R' U R U' R' U' R U' R2' U' R U' R' U' R U R' U2 R
21 HTM · 2 algs
L3+
(U') U R U2 R' U R U2 F R' U R F' R' U2 F U2 F'
17 HTM · 2 algs
L3-
(U) U2 R' U2 R U2 y' R' BR' R U R' BR U2 R U R' U2 R
17 HTM · 3 algs
L4+
(U') U R U R U R' U R' U R U' R U2' R' U2' R' U' R U2 R'
20 HTM · 3 algs
L4-
(U) U' R U2' R' U R U2 R U2 R' U R' U' R U' R U' R' U' R'
20 HTM · 3 algs
L5+
(U) U' R' U2' R U R' U R2 U2' R' U' R U R' U2' R U' R'
18 HTM · 2 algs
L5-
(U2) U2' R U2 R' U' R U' R2' U2 R U R' U' R U2 R' U R
18 HTM · 2 algs
L6+
(U2) U2' R U R' U2 R U' R' U R U2 R2' U' R U' R' U2 R
18 HTM · 2 algs
L6-
(U) U' R' U' R U2' R' U R U' R' U2' R2 U R' U R U2' R'
18 HTM · 2 algs
X - No blocks or headlights
X1
F U2 R U2' R' U R U R' U2' F' R' U' R U2' R' U2' R
18 HTM · 1 alg
X2
F R U R' F U R' U' F' U R2 U2' R' F'
14 HTM · 1 alg
X3
R' U' R U' R' U2 R2 U R' U2 R' U2' R2 U' R' U2 R' U R
19 HTM · 3 algs
X4
R' U' R2 U' R' U R U' R2' U' R2 U R' U' R U R2' U2 R
19 HTM · 1 alg
X5+
(U') R' U R U2 R' U2 R U R2' U' R U' R' U' R U2 R' U R2
19 HTM · 2 algs
X5-
R2' U' R U2' R' U R U R' U R2 U' R' U2' R U2' R' U' R
19 HTM · 2 algs
X6+
(U2) U2' R' U2 R' U' R2 U' R' U' R U R' U R' U R2 U' R' U2' R
20 HTM · 3 algs
X6-
R U2' R U R2' U R U R' U' R U' R U' R2' U R U2 R'
19 HTM · 1 alg
X7+
R U R' y R2 U2' R2' U' R2 U2 R2' F U' F' U R2 U R2'
17 HTM · 3 algs
X7-
BR' U' BR R2' U2 R2 U R2' U2' R2 BR' U BR U' R2' U' R2
17 HTM · 2 algs
Source: LowCubes, https://www.lowcubes.com/megaminx/full-pll, retrieved 2026-10-24: case names and groups, and each case's algorithms, the primary one first (no votes, setups or readable case images). Every algorithm shown was checked by the logic engine; rejected ones are listed in docs/db-exclusions.md.