A11 
RU2R'U'RUR'U'RU'R' RUR'UL'U'LU'RU'R'L'U2L 
Same as B22 
A12 
(U2)RU'L'UR'ULUL'UL 
Inverse of E14 and E31 
A13 
(U)F(RUR'U')*3 F' R'UR'F2RU'RUR'F2MU'M'U'R 
(C24, E11) * 3 
A21 
(U')R'FRUFU'RUR'U'F' 
Inverse of D14 and D34 
B11 
F(RUR'U')*3 F' (U)R'UR'F2RU'RUR'F2MU'M'U'R 
Same as A13 
B12 
(U)LU'RUL'R'U2RUR' 
Same as E34 
B13 
Solved 

B21 
R'U2RF'R'FU2F'RF (U)FR2U'r'FR2F'rUF' 
Inverse of B31 and E12 
B22 
RU2R'U'RUR'U'RU'R' RUR'UL'U'LU'RU'R'L'U2L 
Same as A11 
B23 
RBU2B'UR'FR'F'R2UR' 

B31 
(U2)F'R'FU2F'RFR'U2R (U)FU'r'FR2F'rUR2F' 
Inverse of B21 and D31 
B32 
(U)RU'L'UR'U2B'UBL 
Same as D11 
C11 
(U2)rUR'U'RUR'U'L'URU'R'URU' 
Inverse of C23 and D12 
C12 
(U')R'UL'U2RU'R'U2RL (U2)R2F2RUL'U2RU'L 
Same as C33 
C13 
(U)R'FRUFU'RUR'U'F' 
Same as A21 
C14 
R'URUBU2B'RB'R'B 
Same as D24 
C21 
(U2)L'U2RUR'U2LU'LF2L' 
Inverse of G24 and H34 
C22 
RU2L'U'LU2R'UR'F2R 
Inverse of G31 and H22,
Symmetry of C21 and F33 
C23 
xUR'U'RUR'U'LURU'R'URU'R' 
Inverse of C11
E21 
C24 
(U2)FRUR'U'F' 
Same as E11 
C31 
(U')l'U'L'URU'LU 
Inverse of G13 and H33 
C32 
(U2)RU'L'UR'ULUL'UL  Same as A12 
C33 
(U)R'UL'U2RU'R'U2RL R2F2RUL'U2RU'L 
Same as C12 
C34 
(U')rURU'L'UR'U' 
Inverse of G32 and H13,
Symmetry of C31 and F12 
D11 
RU'L'UR'U2B'UBL 
Same as B32 
D12 
(U)xUR'U'RUR'U'LURU'R'URU'R' 
Same as C23 
D13 
R'U'RU'R'UF'UFR RUR'UL'URU'LU'R'URU2R' 
Same as E24 
D14 
FURU'R'UF'U'R'F'R 
Inverse of A21 and D13 
D21 
(U)F(RUR'U')*2 F' (U')RU2R2U'R2U'R2U2R 
(C24, E11) * 2 
D22 
(U)R'FU2F'RFR'U2RF' 
Inverse of D23 and G34,
Symmetry of D23 and G34 
D23 
FR'U2RF'R'FU2F'R 
Same as G34 
D24 
(U)R'URUBU2B'RB'R'B  Same as C14 
D31 
(U2)R'U2RF'R'FU2F'RF (U')FR2U'r'FR2F'rUF' 
Same as B21 
D32 
(U)R'U2RUFR'URU'F' 
Inverse of E22 and H32,
Symmetry of D33 and H23 
D33 
(U)rU2R'U2L'URU' 
Inverse of E23 and G33 
D34 
(U2)FURU'R'UF'U'R'F'R  Same as D14 
E11 
(U)FRUR'U'F'  Same as C24 
E12 
(U')F'R'FU2F'RFR'U2R (U2)FU'r'FR2F'rUR2F' 
Same as B31 
E13 
(U')F(RUR'U')*2 F' (U')RU2R2U'R2U'R2U2R 
Same as D21 
E14 
(U)L'U'LU'L'U'RU'LUR' 
Inverse of A12 and C32 
E21 
(U)RUR'U'RUR'U'L'URU'R'URU'  Same as C11 
E22 
x'U'RUL'U2R'U2R 
Inverse of D32 and G21 
E23 
(U2)xUR'U'LU2RU2R' 
Inverse of D33 and H23,
Symmetry of E22 and H32 
E24 
(U)R'U'RU'R'UF'UFR (U2)RUR'UL'URU'LU'R'URU2R' 
Same as D13 
E31 
(U)L'U'LU'L'U'RU'LUR'  Same as E14 
E32 
(U2)RU'L'UR'U'L 
Inverse of E33 and H12,
Symmetry of E33 and H12 
E33 
(U2)L'URU'LUR' 
Inverse of E32 and G12,
Symmetry of E32 and G12 
E34 
(U2)LU'RUL'R'U2RUR'  Same as B12 
F11 
(U)RU2R'U'RU'R' 
Inverse of F21 and G11,
Symmetry of F21 and G11 
F12 
(U2)l'U'L'URU'LU  Same as C31 
F13 
(U2)x'U'RUl'U2R'URU'R'U2R 
Inverse of F22 and F32,
Symmetry of F22 and F32 
F14 
(U')RUR'UL'URU'LU2R' (U')RUR'UR'FRF'RU2R' 
Inverse of F24 and H24,
Symmetry of F24 and H24 
F21 
(U)RUR'URU2R' 
Inverse of F11 and H11,
Symmetry of F11 and H11 
F22 
(U2)R'U2RUR'U'RU2lU'R'U 
Inverse of F13 and F31,
Symmetry of F13 and F31 
F23 
(U)rURU'L'UR'U'  Same as C34 
F24  RU2L'UR'U'LU'RU'R' RU2R'FR'F'RU'RU'R' 
Inverse of F14 and G22,
Symmetry of F14 and G22 
F31 
(U)x'U'RUl'U2R'URU'R'U2R  Same as F13 
F32 
(U')R'U2RUR'U'RU2lU'R'U  Same as F22 
F33 
(U)L'U2RUR'U2LU'LF2L'  Same as C21 
F34 
(U2)RU2L'U'LU2R'UR'F2R  Same as C22 
G11 
(U)RUR'URU2R'  Same as F21 
G12 
(U2)RU'L'UR'U'L  Same as E32 
G13 
(U')RUR'U'L'UlF' R'F'RUR'U'R'FRUR 
Inverse of C31 and F12,
Symmetry of G32 and H13 
G14 
(U2)RU2R'FRU2r2FR xRB2R2URU'LU2R' (U)L'U2RU'R'U2LRU'R' 
Same as H14 
G21 
(U2)R'U2RUFR'URU'F'  Same as D32 
G22 
(U')RUR'UL'URU'LU2R' (U')RUR'UR'FRF'RU2R' 
Same as F14 
G23 
(U)RU2R'U'RUR'U'RUR'U'RU'R' 
Same as H21 
G24 
(U')LF2L'UL'U2RU'R'U2L 
Inverse of C21 and F33,
Symmetry of G31 and H22 
G31 
(U')R'F2RU'RU2L'ULU2R' 
Inverse of C22 and F34,
Symmetry of G24 and H34 
G32 
(U')xURU'LUR'U'L' 
Inverse of C34 and F23,
Symmetry of G13 and H33 
G33 
(U2)xUR'U'LU2RU2R'  Same as E23 
G34 
(U')FR'U2RF'R'FU2F'R  Same as D23 
H11 
RU2R'U'RU'R'  Same as F11 
H12 
L'URU'LUR'  Same as E33 
H13 
(U)xURU'LUR'U'L'  Same as G32 
H14 
(U)RU2R'FRU2r2FR (U2)xRB2R2URU'LU2R' L'U2RU'R'U2LRU'R' 
Same as G14 
H21 
RU2R'U'RUR'U'RUR'U'RU'R'  Same as G23 
H22 
(U')R'F2RU'RU2L'ULU2R'  Same as G31 
H23 
(U2)RU2R'U2L'URU'  Same as D33 
H24 
(U')RU2L'UR'U'LU'RU'R' (U')RU2R'FR'F'RU'RU'R' 
Same as F24 
H31 
(U2)R'FU2F'RFR'U2RF'  Same as D22 
H32 
(U2)x'U'RUL'U2R'U2R  Same as E22 
H33 
(U)rUR'U'L'UlF'  Same as G13 
H34 
(U')LF2L'UL'U2RU'R'U2L  Same as G24 