The symmetric group S₅

- 12345 () a 21345 (12) b 13245 (23) c 12435 (34) d 12354 (45) ab 23145 (123) ba 31245 (132) ac 21435 (12)(34) bc 13425 (234) cb 14235 (243) ad 21354 (12)(45) bd 13254 (23)(45) cd 12453 (345) dc 12534 (354) aba 32145 (13) abc 23415 (1234) bac 31425 (1342) acb 24135 (1243) bcb 14325 (24) cba 41235 (1432) abd 23154 (123)(45) bad 31254 (132)(45) acd 21453 (12)(345) bcd 13452 (2345) cbd 14253 (2453) adc 21534 (12)(354) bdc 13524 (2354) cdc 12543 (35) dcb 15234 (2543) abac 32415 (134) abcb 24315 (124) bacb 34125 (13)(24) acba 42135 (143) bcba 41325 (142) abad 32154 (13)(45) abcd 23451 (12345) bacd 31452 (13452) acbd 24153 (12453) bcbd 14352 (245) cbad 41253 (14532) abdc 23514 (12354) badc 31524 (13542) acdc 21543 (12)(35) bcdc 13542 (235) cbdc 14523 (24)(35) adcb 25134 (12543) bdcb 15324 (254) cdcb 15243 (253) dcba 51234 (15432) abacb 34215 (1324) abcba 42315 (14) bacba 43125 (1423) abacd 32451 (1345) abcbd 24351 (1245) bacbd 34152 (13)(245) acbad 42153 (1453) bcbad 41352 (1452) abadc 32514 (1354) abcdc 23541 (1235) bacdc 31542 (1352) acbdc 24513 (124)(35) bcbdc 14532 (2435) cbadc 41523 (142)(35) abdcb 25314 (1254) badcb 35124 (13)(254) acdcb 25143 (1253) bcdcb 15342 (25) cbdcb 15423 (2534) adcba 52134 (1543) bdcba 51324 (1542) cdcba 51243 (1532) abacba 43215 (14)(23) abacbd 34251 (13245) abcbad 42351 (145) bacbad 43152 (14523) abacdc 32541 (135) abcbdc 24531 (12435) bacbdc 34512 (13524) acbadc 42513 (14)(35) bcbadc 41532 (14352) abadcb 35214 (13254) abcdcb 25341 (125) bacdcb 35142 (13)(25) acbdcb 25413 (12534) bcbdcb 15432 (25)(34) cbadcb 45123 (14253) abdcba 52314 (154) badcba 53124 (15423) acdcba 52143 (153) bcdcba 51342 (152) cbdcba 51423 (15342) abacbad 43251 (145)(23) abacbdc 34521 (135)(24) abcbadc 42531 (1435) bacbadc 43512 (14)(235) abacdcb 35241 (1325) abcbdcb 25431 (125)(34) bacbdcb 35412 (134)(25) acbadcb 45213 (14)(253) bcbadcb 45132 (143)(25) abadcba 53214 (154)(23) abcdcba 52341 (15) bacdcba 53142 (1523) acbdcba 52413 (1534) bcbdcba 51432 (152)(34) cbadcba 54123 (153)(24) abacbadc 43521 (14235) abacbdcb 35421 (13425) abcbadcb 45231 (14325) bacbadcb 45312 (14)(25) abacdcba 53241 (15)(23) abcbdcba 52431 (15)(34) bacbdcba 53412 (15234) acbadcba 54213 (15324) bcbadcba 54132 (15243) abacbadcb 45321 (1425) abacbdcba 53421 (15)(234) abcbadcba 54231 (15)(243) bacbadcba 54312 (1524) abacbadcba 54321 (15)(24)

Show