-- Sequence is:
F
-- Image is:
UFR -> RFD
UFL -> RFU
DFR -> LFD
DFL -> LFU
UF -> RF
FR -> FD
FL -> FU
DF -> LF
-- Cycle decomposition is:
UFR RFD DFL LFU
UF RF DF LF
-- Order is:
4

-- Sequence is:
F R
-- Image is:
UFR RUF
UFL -> RUB
UBR -> BDR
DFR -> LFD
DFL -> LFU
DBR -> FDR
UF -> RU
UR -> BR
FR -> FD
FL -> FU
BR -> DR
DF -> LF
DR -> FR
-- Cycle decomposition is:
UFR +
UFL RUB RBD RDF DLF -
UF RU RB RD RF DF LF
-- Order is:
105

-- Sequence is:
F R-
-- Image is:
UFR -> RDB
UFL -> RDF
UBR -> FUR
DFR -> LFD
DFL -> LFU
DBR -> BUR
UF -> RD
UR -> FR
FR -> FD
FL -> FU
BR -> UR
DF -> LF
DR -> BR
-- Cycle decomposition is:
UFR RDB RBU +
UFL RDF DLF -
UF RD RB RU RF DF LF
-- Order is:
63

-- Sequence is:
F R2
-- Image is:
UFR -> RBU
UFL -> RBD
UBR -> DFR
DFR -> LFD
DFL -> LFU
DBR -> UFR
UF -> RB
UR -> DR
FR -> FD
FL -> FU
BR -> FR
DF -> LF
DR -> UR
-- Cycle decomposition is:
UFR RBU RFD DFL LFU DBR
UF RB RF DF LF
UR DR
-- Order is:
30

-- Sequence is:
F U R
-- Image is:
UFR RUF
UFL FLU
UBL -> BRD
UBR BRU
DFR -> LFD
DFL -> BLU
DBR -> FDR
UF -> RU
UL -> UB
UB -> BR
UR -> UF
FR -> FD
FL -> LU
BR -> DR
DF -> LF
DR -> FR
-- Cycle decomposition is:
UFR +
UFL +
UBL BRD DRF LDF
UBR +
UF RU +
UL UB BR DR FR FD FL +
-- Order is:
84

-- Sequence is:
F R F R
-- Image is:
UFR FRU
UFL -> RBD
UBR -> DFR
DFR -> UFL
DFL -> BUR
DBR -> FLD
UF -> RB
UR -> DR
FR -> FL
FL -> UR
BR -> FR
DF -> UF
DR -> FD
-- Cycle decomposition is:
UFR -
UFL RBD DLF BRU FRD +
UF RB RF LF RU RD DF
-- Order is:
105

-- Sequence is:
F R B L
-- Image is:
UFR RUF
UFL FLU
UBL LUB
UBR BRU
DFR -> LDB
DFL LDF
DBL -> RBD
DBR -> FDR
UF -> RU
UL -> FL
UB -> LU
UR -> BU
FR -> FD
FL -> FU
BL -> BD
BR -> DR
DF -> LD
DL -> BL
DB -> RB
DR -> FR
-- Cycle decomposition is:
UFR +
UFL +
UBL +
UBR +
DFR LDB DRB +
DFL +
UF RU UB LU LF
FR FD DL BL BD BR DR
-- Order is:
315

-- Sequence is:
F R B L D U
-- Image is:
UFR -> FUL
UFL -> LBU
UBL -> BUR
UBR -> RFU
DFR -> FDL
DFL -> FDR
DBL BLD
DBR RDB
UF FU
UL -> FL
UB BU
UR RU
FR -> RD
FL -> LU
BL -> LD
BR -> DB
DF FD
DL -> BL
DB -> RB
DR -> FR
-- Cycle decomposition is:
UFR FUL BLU URB +
DFR FDL
DBL +
DBR +
UF +
UL FL +
UB +
UR +
FR RD +
BL LD +
BR DB +
DF +
-- Order is:
12

-- Sequence is:
F U R B D L
-- Image is:
UFR RUF
UFL -> DLF
UBL -> BUR
UBR -> UFL
DFR FRD
DFL -> LBD
DBL -> ULB
DBR RDB
UF -> RU
UL LU
UB BU
UR -> UF
FR -> RD
FL LF
BL LB
BR -> DB
DF -> LD
DL -> DF
DB -> RB
DR -> FR
-- Cycle decomposition is:
UFR +
UFL DLF LDB BUL UBR
DFR +
DBR +
UF RU +
UL +
UB +
FR RD +
FL +
BL +
BR DB +
DF LD +
-- Order is:
60

-- Sequence is:
F U R B L D
-- Image is:
UFR RUF
UFL -> DFR
UBL -> BUR
UBR -> UFL
DFR -> FDL
DFL -> UBL
DBL BLD
DBR RDB
UF -> RU
UL LU
UB BU
UR -> UF
FR -> RD
FL LF
BL -> LD
BR -> DB
DF FD
DL -> BL
DB -> RB
DR -> FR
-- Cycle decomposition is:
UFR +
UFL DFR FDL BUL UBR
DBL +
DBR +
UF RU +
UL +
UB +
FR RD +
FL +
BL LD +
BR DB +
DF +
-- Order is:
60

-- Sequence is:
F R B L R- F-
-- Image is:
UFL -> FDL
UBL LUB
UBR -> LUF
DFR -> LDB
DFL -> DRF
DBL -> RUB
UL -> FD
UB -> LU
UR -> BU
BL -> BD
DF -> LD
DL -> BL
DB -> RU
-- Cycle decomposition is:
UFL FDL RDF BLD UBR -
UBL +
UL FD DL BL BD UR BU
-- Order is:
105

-- Sequence is:
F R B L R- F- L- B-
-- Image is:
DFR -> LFD
DFL -> DRF
DBL -> DRB
DBR -> LBD
UL -> FD
UR -> BR
FL -> UL
BR -> BD
DF -> LF
DB -> RU
-- Cycle decomposition is:
DFR LFD +
DBL DRB -
UL FD FL
UR BR BD
-- Order is:
6

-- Sequence is:
F2 R2
-- Image is:
UFR -> DFL
UFL -> UBR
UBR -> DFR
DFR -> UFL
DFL -> DBR
DBR -> UFR
UF -> DF
UR -> DR
FR -> FL
FL -> BR
BR -> FR
DF -> UF
DR -> UR
-- Cycle decomposition is:
UFR DFL DBR
UFL UBR DFR
UF DF
UR DR
FR FL BR
-- Order is:
6

-- Sequence is:
F2
-- Image is:
UFR -> DFL
UFL -> DFR
DFR -> UFL
DFL -> UFR
UF -> DF
FR -> FL
FL -> FR
DF -> UF
-- Cycle decomposition is:
UFR DFL
UFL DFR
UF DF
FR FL
-- Order is:
2

-- Sequence is:
F2 B2
-- Image is:
UFR -> DFL
UFL -> DFR
UBL -> DBR
UBR -> DBL
DFR -> UFL
DFL -> UFR
DBL -> UBR
DBR -> UBL
UF -> DF
UB -> DB
FR -> FL
FL -> FR
BL -> BR
BR -> BL
DF -> UF
DB -> UB
-- Cycle decomposition is:
UFR DFL
UFL DFR
UBL DBR
UBR DBL
UF DF
UB DB
FR FL
BL BR
-- Order is:
2

-- Sequence is:
B L U L- U- L U L- U- L U L- U- B-
-- Image is:
UFR -> FUL
UFL -> FUR
UBL -> BUR
UBR -> BUL
-- Cycle decomposition is:
UFR FUL
UBL BUR
-- Order is:
2

-- Sequence is:
B R- D2 R B- U2
-- Image is:
UFR FRU
UFL -> UBR
UBL LUB
UBR -> UFL
DFR -> FDL
DFL -> FDR
UF -> UB
UL -> UR
UB -> UF
UR -> UL
FR -> DL
BL -> FD
DF -> LB
DL -> FR
-- Cycle decomposition is:
UFR -
UFL UBR
UBL +
DFR FDL
UF UB
UL UR
FR DL
BL FD
-- Order is:
6

-- Sequence is:
B R- D2 R B- U2 B R- D2 R B- U2
-- Image is:
UFR RUF
UBL BLU
-- Cycle decomposition is:
UFR +
UBL -
-- Order is:
3

-- Sequence is:
L- R+ F+ L+ R- D2 L- R+ F+ L+ R-
-- Image is:
DL -> DR
DB -> LD
DR -> BD
-- Cycle decomposition is:
DL DR BD
-- Order is:
3

-- Sequence is:
R L- F R- L D R L- F R- L D R L- F2 R- L D R L- F R- L D R L- F R- L D2
-- Image is:
DF FD
DB BD
-- Cycle decomposition is:
DF +
DB +
-- Order is:
2

-- Sequence is:
F2 L- R F L R- D L- R F- L R- D- L- R F L R- D L- R F- L R- D- F2
-- Image is:
DF FD
DL LD
DB BD
DR RD
-- Cycle decomposition is:
DF +
DL +
DB +
DR +
-- Order is:
2

-- Sequence is:
B- U2 B2 U B- U- B- U2 F R B R- F-
-- Image is:
UB BU
UR RU
-- Cycle decomposition is:
UB +
UR +
-- Order is:
2