# gps_conj_classes downloaded from the LMFDB on 22 September 2026.
# Search link: https://www.lmfdb.org/Groups/Abstract/ConjugacyClasses?group=3715891200.a
# Query "{'group_order': 3715891200, 'group_counter': 1}" returned 481 gps_conj_classes, sorted by group.

# Each entry in the following data list has the form:
#    [Group, Label, Order, Size, Centralizer, Powers, Representative]
# For more details, see the definitions at the bottom of the file.



"3715891200.a"	"1A"	1	1	NULL	"1A,1A,1A,1A"	"()"
"3715891200.a"	"2A"	2	1	NULL	"1A,2A,2A,2A"	"(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16)(17,18)(19,20)"
"3715891200.a"	"2B"	2	10	NULL	"1A,2B,2B,2B"	"(19,20)"
"3715891200.a"	"2C"	2	10	NULL	"1A,2C,2C,2C"	"(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16)(17,18)(19,20)"
"3715891200.a"	"2D"	2	45	NULL	"1A,2D,2D,2D"	"(11,12)(17,18)"
"3715891200.a"	"2E"	2	45	NULL	"1A,2E,2E,2E"	"(1,2)(3,4)(7,8)(9,10)(11,12)(15,16)(17,18)(19,20)"
"3715891200.a"	"2F"	2	90	NULL	"1A,2F,2F,2F"	"(3,15)(4,16)"
"3715891200.a"	"2G"	2	90	NULL	"1A,2G,2G,2G"	"(1,2)(3,15)(4,16)(5,6)(7,8)(9,10)(11,12)(13,14)(17,18)(19,20)"
"3715891200.a"	"2H"	2	120	NULL	"1A,2H,2H,2H"	"(9,10)(11,12)(13,14)"
"3715891200.a"	"2I"	2	120	NULL	"1A,2I,2I,2I"	"(7,8)(9,10)(11,12)(13,14)(15,16)(17,18)(19,20)"
"3715891200.a"	"2J"	2	210	NULL	"1A,2J,2J,2J"	"(5,6)(11,12)(13,14)(17,18)"
"3715891200.a"	"2K"	2	210	NULL	"1A,2K,2K,2K"	"(9,10)(11,12)(13,14)(15,16)(17,18)(19,20)"
"3715891200.a"	"2L"	2	252	NULL	"1A,2L,2L,2L"	"(9,10)(11,12)(13,14)(15,16)(17,18)"
"3715891200.a"	"2M"	2	720	NULL	"1A,2M,2M,2M"	"(11,13)(12,14)(15,16)"
"3715891200.a"	"2N"	2	720	NULL	"1A,2N,2N,2N"	"(3,4)(5,6)(7,8)(9,10)(11,13)(12,14)(15,16)(17,18)(19,20)"
"3715891200.a"	"2O"	2	2520	NULL	"1A,2O,2O,2O"	"(9,17)(10,18)(11,19)(12,20)"
"3715891200.a"	"2P"	2	2520	NULL	"1A,2P,2P,2P"	"(7,9)(8,10)(15,16)(19,20)"
"3715891200.a"	"2Q"	2	2520	NULL	"1A,2Q,2Q,2Q"	"(1,2)(7,9)(8,10)(11,12)(13,14)(15,16)(17,18)(19,20)"
"3715891200.a"	"2R"	2	2520	NULL	"1A,2R,2R,2R"	"(1,2)(3,4)(5,6)(7,15)(8,16)(9,10)(11,12)(13,17)(14,18)(19,20)"
"3715891200.a"	"2S"	2	5040	NULL	"1A,2S,2S,2S"	"(7,9)(8,10)(11,12)(13,14)(15,16)(17,18)(19,20)"
"3715891200.a"	"2T"	2	5040	NULL	"1A,2T,2T,2T"	"(5,6)(7,9)(8,10)(15,16)(19,20)"
"3715891200.a"	"2U"	2	6300	NULL	"1A,2U,2U,2U"	"(3,4)(9,10)(11,17)(12,18)(13,14)(19,20)"
"3715891200.a"	"2V"	2	15120	NULL	"1A,2V,2V,2V"	"(5,19)(6,20)(7,9)(8,10)(15,16)"
"3715891200.a"	"2W"	2	15120	NULL	"1A,2W,2W,2W"	"(1,2)(5,19)(6,20)(7,9)(8,10)(11,12)(13,14)(15,16)(17,18)"
"3715891200.a"	"2X"	2	25200	NULL	"1A,2X,2X,2X"	"(5,13)(6,14)(7,9)(8,10)(11,17)(12,18)"
"3715891200.a"	"2Y"	2	25200	NULL	"1A,2Y,2Y,2Y"	"(1,2)(3,4)(5,13)(6,14)(7,9)(8,10)(11,17)(12,18)(15,16)(19,20)"
"3715891200.a"	"2Z"	2	30240	NULL	"1A,2Z,2Z,2Z"	"(1,14)(2,13)(3,17)(4,18)(5,10)(6,9)(7,20)(8,19)(11,15)(12,16)"
"3715891200.a"	"2AA"	2	37800	NULL	"1A,2AA,2AA,2AA"	"(7,8)(9,17)(10,18)(11,19)(12,20)(15,16)"
"3715891200.a"	"2AB"	2	37800	NULL	"1A,2AB,2AB,2AB"	"(3,4)(5,6)(7,9)(8,10)(11,17)(12,18)(13,14)(15,16)"
"3715891200.a"	"2AC"	2	50400	NULL	"1A,2AC,2AC,2AC"	"(7,15)(8,16)(9,10)(11,12)(13,17)(14,18)(19,20)"
"3715891200.a"	"2AD"	2	75600	NULL	"1A,2AD,2AD,2AD"	"(1,8)(2,7)(3,11)(4,12)(9,15)(10,16)(13,17)(14,18)"
"3715891200.a"	"2AE"	2	75600	NULL	"1A,2AE,2AE,2AE"	"(1,2)(3,6)(4,5)(7,16)(8,15)(9,20)(10,19)(11,12)(13,18)(14,17)"
"3715891200.a"	"2AF"	2	100800	NULL	"1A,2AF,2AF,2AF"	"(3,5)(4,6)(7,15)(8,16)(9,11)(10,12)(13,14)(17,18)(19,20)"
"3715891200.a"	"2AG"	2	100800	NULL	"1A,2AG,2AG,2AG"	"(1,2)(3,5)(4,6)(7,15)(8,16)(9,11)(10,12)"
"3715891200.a"	"2AH"	2	151200	NULL	"1A,2AH,2AH,2AH"	"(1,18)(2,17)(3,10)(4,9)(7,15)(8,16)(11,12)(19,20)"
"3715891200.a"	"2AI"	2	151200	NULL	"1A,2AI,2AI,2AI"	"(1,2)(3,18)(4,17)(5,13)(6,14)(7,20)(8,19)(9,11)(10,12)"
"3715891200.a"	"3A"	3	960	NULL	"3A,1A,3A,3A"	"(15,19,17)(16,20,18)"
"3715891200.a"	"3B"	3	134400	NULL	"3B,1A,3B,3B"	"(5,11,7)(6,12,8)(9,14,18)(10,13,17)"
"3715891200.a"	"3C"	3	1433600	NULL	"3C,1A,3C,3C"	"(3,6,7)(4,5,8)(9,17,14)(10,18,13)(11,19,16)(12,20,15)"
"3715891200.a"	"4A"	4	90	NULL	"2D,4A,4A,4A"	"(3,16,4,15)"
"3715891200.a"	"4B"	4	90	NULL	"2D,4B,4B,4B"	"(1,2)(3,16,4,15)(5,6)(7,8)(9,10)(11,12)(13,14)(17,18)(19,20)"
"3715891200.a"	"4C"	4	720	NULL	"2D,4C,4C,4C"	"(11,18,12,17)(19,20)"
"3715891200.a"	"4D"	4	720	NULL	"2D,4D,4D,4D"	"(1,2)(5,6)(7,8)(9,10)(11,18,12,17)(13,14)(15,16)(19,20)"
"3715891200.a"	"4E"	4	2520	NULL	"2J,4E,4E,4E"	"(9,17,10,18)(11,19,12,20)"
"3715891200.a"	"4F"	4	2520	NULL	"2D,4F,4F,4F"	"(7,10,8,9)(15,16)(19,20)"
"3715891200.a"	"4G"	4	2520	NULL	"2D,4G,4G,4G"	"(5,6)(7,10,8,9)(11,12)(13,14)(15,16)(17,18)(19,20)"
"3715891200.a"	"4H"	4	2520	NULL	"2J,4H,4H,4H"	"(1,2)(3,4)(5,6)(7,16,8,15)(9,10)(11,12)(13,18,14,17)(19,20)"
"3715891200.a"	"4I"	4	5040	NULL	"2D,4I,4I,4I"	"(7,10,8,9)(11,12)(13,14)(15,16)(17,18)(19,20)"
"3715891200.a"	"4J"	4	5040	NULL	"2D,4J,4J,4J"	"(5,6)(7,10,8,9)(15,16)(19,20)"
"3715891200.a"	"4K"	4	5040	NULL	"2D,4K,4K,4K"	"(7,16,8,15)(13,17)(14,18)"
"3715891200.a"	"4L"	4	5040	NULL	"2D,4L,4L,4L"	"(1,2)(3,4)(5,6)(7,16,8,15)(9,10)(11,12)(13,17)(14,18)(19,20)"
"3715891200.a"	"4M"	4	6300	NULL	"2D,4M,4M,4M"	"(9,10)(11,14,12,13)(15,16)(17,18)(19,20)"
"3715891200.a"	"4N"	4	10080	NULL	"2O,4N,4N,4N"	"(11,19,17,14)(12,20,18,13)"
"3715891200.a"	"4O"	4	10080	NULL	"2O,4O,4O,4O"	"(1,2)(3,4)(5,6)(7,8)(9,10)(11,20,17,13)(12,19,18,14)(15,16)"
"3715891200.a"	"4P"	4	15120	NULL	"2J,4P,4P,4P"	"(3,4)(5,20,6,19)(7,10,8,9)(11,12)(13,14)(15,16)(17,18)"
"3715891200.a"	"4Q"	4	15120	NULL	"2J,4Q,4Q,4Q"	"(1,2)(5,20,6,19)(7,10,8,9)"
"3715891200.a"	"4R"	4	25200	NULL	"2K,4R,4R,4R"	"(5,13,6,14)(7,9,8,10)(11,17,12,18)"
"3715891200.a"	"4S"	4	25200	NULL	"2K,4S,4S,4S"	"(1,2)(3,4)(5,13,6,14)(7,9,8,10)(11,17,12,18)(15,16)(19,20)"
"3715891200.a"	"4T"	4	30240	NULL	"2A,4T,4T,4T"	"(1,19,2,20)(3,7,4,8)(5,17,6,18)(9,16,10,15)(11,14,12,13)"
"3715891200.a"	"4U"	4	30240	NULL	"2D,4U,4U,4U"	"(1,3,2,4)(5,6)(9,20)(10,19)"
"3715891200.a"	"4V"	4	30240	NULL	"2D,4V,4V,4V"	"(1,13)(2,14)(3,4)(5,6)(9,16,10,15)(11,12)(17,18)(19,20)"
"3715891200.a"	"4W"	4	37800	NULL	"2J,4W,4W,4W"	"(3,4)(5,6)(7,9,8,10)(11,17,12,18)(13,14)(15,16)"
"3715891200.a"	"4X"	4	37800	NULL	"2J,4X,4X,4X"	"(3,7,4,8)(5,15,6,16)(17,18)(19,20)"
"3715891200.a"	"4Y"	4	50400	NULL	"2J,4Y,4Y,4Y"	"(7,16,8,15)(9,10)(11,12)(13,18,14,17)(19,20)"
"3715891200.a"	"4Z"	4	60480	NULL	"2O,4Z,4Z,4Z"	"(1,3,17,12)(2,4,18,11)(9,10)"
"3715891200.a"	"4AA"	4	60480	NULL	"2O,4AA,4AA,4AA"	"(1,2)(3,16,12,5)(4,15,11,6)(7,8)(9,10)(17,18)(19,20)"
"3715891200.a"	"4AB"	4	75600	NULL	"2E,4AB,4AB,4AB"	"(1,16,2,15)(3,19,4,20)(5,6)(7,12,8,11)(9,18,10,17)(13,14)"
"3715891200.a"	"4AC"	4	75600	NULL	"2E,4AC,4AC,4AC"	"(1,20,2,19)(5,11,6,12)(7,10,8,9)(13,16,14,15)"
"3715891200.a"	"4AD"	4	75600	NULL	"2D,4AD,4AD,4AD"	"(1,2)(5,12)(6,11)(7,8)(9,15,10,16)(13,14)(17,18)"
"3715891200.a"	"4AE"	4	75600	NULL	"2D,4AE,4AE,4AE"	"(1,2)(3,18)(4,17)(5,6)(7,8)(9,20)(10,19)(11,15,12,16)(13,14)"
"3715891200.a"	"4AF"	4	75600	NULL	"2J,4AF,4AF,4AF"	"(3,6,4,5)(7,11,8,12)(9,17)(10,18)"
"3715891200.a"	"4AG"	4	75600	NULL	"2D,4AG,4AG,4AG"	"(1,2)(3,4)(5,14,6,13)(9,20)(10,19)"
"3715891200.a"	"4AH"	4	75600	NULL	"2D,4AH,4AH,4AH"	"(1,10)(2,9)(3,15,4,16)(5,8)(6,7)"
"3715891200.a"	"4AI"	4	75600	NULL	"2J,4AI,4AI,4AI"	"(1,3,2,4)(5,14,6,13)(7,8)(9,12)(10,11)(15,16)(17,18)(19,20)"
"3715891200.a"	"4AJ"	4	100800	NULL	"2D,4AJ,4AJ,4AJ"	"(7,16,8,15)(9,10)(11,12)(13,17)(14,18)(19,20)"
"3715891200.a"	"4AK"	4	100800	NULL	"2K,4AK,4AK,4AK"	"(3,6,4,5)(7,16,8,15)(9,12,10,11)(13,14)(17,18)(19,20)"
"3715891200.a"	"4AL"	4	100800	NULL	"2K,4AL,4AL,4AL"	"(1,2)(3,6,4,5)(7,16,8,15)(9,12,10,11)"
"3715891200.a"	"4AM"	4	151200	NULL	"2O,4AM,4AM,4AM"	"(3,4)(5,14,15,9)(6,13,16,10)(7,8)(11,12)(17,18)"
"3715891200.a"	"4AN"	4	151200	NULL	"2E,4AN,4AN,4AN"	"(1,7,2,8)(3,16)(4,15)(5,11,6,12)(9,13,10,14)(17,19,18,20)"
"3715891200.a"	"4AO"	4	151200	NULL	"2D,4AO,4AO,4AO"	"(1,8,2,7)(3,6)(4,5)(9,13)(10,14)(11,16)(12,15)(17,19)(18,20)"
"3715891200.a"	"4AP"	4	151200	NULL	"2O,4AP,4AP,4AP"	"(5,6)(9,15,12,14)(10,16,11,13)(19,20)"
"3715891200.a"	"4AQ"	4	151200	NULL	"2K,4AQ,4AQ,4AQ"	"(1,12,2,11)(3,7,4,8)(5,6)(13,15,14,16)(19,20)"
"3715891200.a"	"4AR"	4	151200	NULL	"2E,4AR,4AR,4AR"	"(1,19,2,20)(3,8,4,7)(5,10,6,9)(11,12)(13,15,14,16)"
"3715891200.a"	"4AS"	4	201600	NULL	"2O,4AS,4AS,4AS"	"(5,6)(7,8)(9,19,17,11)(10,20,18,12)(15,16)"
"3715891200.a"	"4AT"	4	302400	NULL	"2K,4AT,4AT,4AT"	"(1,9,2,10)(3,13,4,14)(5,17,6,18)(7,8)(11,16)(12,15)(19,20)"
"3715891200.a"	"4AU"	4	302400	NULL	"2K,4AU,4AU,4AU"	"(5,11)(6,12)(7,20,8,19)(9,17,10,18)(13,15,14,16)"
"3715891200.a"	"4AV"	4	302400	NULL	"2K,4AV,4AV,4AV"	"(1,13,2,14)(3,9,4,10)(5,7)(6,8)(11,20)(12,19)(15,18,16,17)"
"3715891200.a"	"4AW"	4	302400	NULL	"2O,4AW,4AW,4AW"	"(1,2)(3,18,19,9)(4,17,20,10)(5,6)(7,8)(11,12)(13,16)(14,15)"
"3715891200.a"	"4AX"	4	302400	NULL	"2D,4AX,4AX,4AX"	"(1,18)(2,17)(3,9)(4,10)(5,6)(7,14,8,13)(11,12)(15,16)"
"3715891200.a"	"4AY"	4	302400	NULL	"2D,4AY,4AY,4AY"	"(1,2)(3,19)(4,20)(5,8)(6,7)(9,12,10,11)(13,14)(15,17)(16,18)"
"3715891200.a"	"4AZ"	4	302400	NULL	"2J,4AZ,4AZ,4AZ"	"(1,14,2,13)(3,6)(4,5)(7,15,8,16)(9,18)(10,17)(11,20)(12,19)"
"3715891200.a"	"4BA"	4	302400	NULL	"2AA,4BA,4BA,4BA"	"(1,8,5,18)(2,7,6,17)(13,15,14,16)"
"3715891200.a"	"4BB"	4	302400	NULL	"2J,4BB,4BB,4BB"	"(3,15,4,16)(5,20,6,19)(9,18)(10,17)(11,12)"
"3715891200.a"	"4BC"	4	302400	NULL	"2D,4BC,4BC,4BC"	"(3,18)(4,17)(5,14)(6,13)(7,10,8,9)(15,20)(16,19)"
"3715891200.a"	"4BD"	4	302400	NULL	"2AA,4BD,4BD,4BD"	"(1,14,2,13)(3,20,16,12)(4,19,15,11)(5,6)(7,8)(9,10)(17,18)"
"3715891200.a"	"4BE"	4	302400	NULL	"2O,4BE,4BE,4BE"	"(1,8,16,20)(2,7,15,19)(9,13)(10,14)"
"3715891200.a"	"4BF"	4	302400	NULL	"2J,4BF,4BF,4BF"	"(1,12)(2,11)(3,16,4,15)(5,6)(9,13,10,14)(17,18)(19,20)"
"3715891200.a"	"4BG"	4	302400	NULL	"2D,4BG,4BG,4BG"	"(1,7,2,8)(3,4)(5,14)(6,13)(17,20)(18,19)"
"3715891200.a"	"4BH"	4	453600	NULL	"2D,4BH,4BH,4BH"	"(3,4)(5,13)(6,14)(7,9)(8,10)(11,17,12,18)(15,16)"
"3715891200.a"	"4BI"	4	453600	NULL	"2J,4BI,4BI,4BI"	"(3,4)(5,13,6,14)(7,9)(8,10)(11,17,12,18)(15,16)"
"3715891200.a"	"4BJ"	4	453600	NULL	"2J,4BJ,4BJ,4BJ"	"(1,14,2,13)(5,9)(6,10)(7,12)(8,11)(15,19,16,20)"
"3715891200.a"	"4BK"	4	453600	NULL	"2J,4BK,4BK,4BK"	"(1,13,2,14)(3,9)(4,10)(5,6)(7,20,8,19)(11,15)(12,16)(17,18)"
"3715891200.a"	"4BL"	4	604800	NULL	"2D,4BL,4BL,4BL"	"(1,3,2,4)(5,12)(6,11)(7,9)(8,10)(13,20)(14,19)(15,16)"
"3715891200.a"	"4BM"	4	604800	NULL	"2K,4BM,4BM,4BM"	"(1,17)(2,18)(3,19,4,20)(7,15,8,16)(9,13,10,14)(11,12)"
"3715891200.a"	"4BN"	4	907200	NULL	"2J,4BN,4BN,4BN"	"(3,5)(4,6)(7,15,8,16)(9,10)(11,13)(12,14)(17,19,18,20)"
"3715891200.a"	"4BO"	4	1209600	NULL	"2O,4BO,4BO,4BO"	"(1,13)(2,14)(3,10)(4,9)(5,12,7,16)(6,11,8,15)(17,20)(18,19)"
"3715891200.a"	"4BP"	4	1209600	NULL	"2O,4BP,4BP,4BP"	"(1,7,4,11)(2,8,3,12)(5,9)(6,10)(15,16)(17,18)(19,20)"
"3715891200.a"	"4BQ"	4	1209600	NULL	"2AA,4BQ,4BQ,4BQ"	"(3,19,7,5)(4,20,8,6)(9,14,10,13)(17,18)"
"3715891200.a"	"4BR"	4	1209600	NULL	"2R,4BR,4BR,4BR"	"(1,9,2,10)(3,19,4,20)(5,17,6,18)(7,13,15,12)(8,14,16,11)"
"3715891200.a"	"4BS"	4	1209600	NULL	"2O,4BS,4BS,4BS"	"(3,20,6,17)(4,19,5,18)(9,10)(13,16)(14,15)"
"3715891200.a"	"4BT"	4	1209600	NULL	"2AA,4BT,4BT,4BT"	"(1,9,15,14)(2,10,16,13)(3,4)(5,6)(7,18,8,17)(19,20)"
"3715891200.a"	"4BU"	4	1814400	NULL	"2O,4BU,4BU,4BU"	"(3,4)(5,6)(7,15)(8,16)(9,11,17,19)(10,12,18,20)"
"3715891200.a"	"4BV"	4	1814400	NULL	"2AA,4BV,4BV,4BV"	"(3,4)(5,6)(7,15,8,16)(9,11,17,19)(10,12,18,20)"
"3715891200.a"	"4BW"	4	1814400	NULL	"2O,4BW,4BW,4BW"	"(3,5)(4,6)(7,11,9,17)(8,12,10,18)(13,15)(14,16)"
"3715891200.a"	"4BX"	4	1814400	NULL	"2AB,4BX,4BX,4BX"	"(3,5,4,6)(7,11,9,17)(8,12,10,18)(13,15,14,16)"
"3715891200.a"	"4BY"	4	1814400	NULL	"2O,4BY,4BY,4BY"	"(1,2)(3,5)(4,6)(7,11,9,17)(8,12,10,18)(13,15)(14,16)(19,20)"
"3715891200.a"	"4BZ"	4	1814400	NULL	"2AB,4BZ,4BZ,4BZ"	"(1,2)(3,5,4,6)(7,11,9,17)(8,12,10,18)(13,15,14,16)(19,20)"
"3715891200.a"	"4CA"	4	3628800	NULL	"2AD,4CA,4CA,4CA"	"(1,15,8,9)(2,16,7,10)(3,13,11,17)(4,14,12,18)"
"3715891200.a"	"4CB"	4	3628800	NULL	"2AD,4CB,4CB,4CB"	"(1,14,11,17)(2,13,12,18)(3,4)(5,6)(7,9,20,15)(8,10,19,16)"
"3715891200.a"	"4CC"	4	3628800	NULL	"2AA,4CC,4CC,4CC"	"(1,16,2,15)(3,11)(4,12)(5,13,8,10)(6,14,7,9)"
"3715891200.a"	"4CD"	4	3628800	NULL	"2O,4CD,4CD,4CD"	"(1,19)(2,20)(3,6)(4,5)(7,12,15,18)(8,11,16,17)(9,10)"
"3715891200.a"	"4CE"	4	3628800	NULL	"2AA,4CE,4CE,4CE"	"(1,2)(3,13,4,14)(5,12,20,17)(6,11,19,18)(7,8)(9,16)(10,15)"
"3715891200.a"	"4CF"	4	3628800	NULL	"2AB,4CF,4CF,4CF"	"(1,2)(3,20,17,7)(4,19,18,8)(5,11,6,12)(13,16,14,15)"
"3715891200.a"	"4CG"	4	3628800	NULL	"2AB,4CG,4CG,4CG"	"(1,8,18,14)(2,7,17,13)(3,16)(4,15)(5,19,6,20)(9,11,10,12)"
"3715891200.a"	"4CH"	4	3628800	NULL	"2AA,4CH,4CH,4CH"	"(1,13,15,3)(2,14,16,4)(5,19)(6,20)(7,18)(8,17)(9,12,10,11)"
"3715891200.a"	"4CI"	4	7257600	NULL	"2AD,4CI,4CI,4CI"	"(1,17,19,8)(2,18,20,7)(3,5,14,11)(4,6,13,12)(9,10)"
"3715891200.a"	"4CJ"	4	7257600	NULL	"2AD,4CJ,4CJ,4CJ"	"(1,13)(2,14)(3,12,9,5)(4,11,10,6)(7,18,16,19)(8,17,15,20)"
"3715891200.a"	"4CK"	4	7257600	NULL	"2AE,4CK,4CK,4CK"	"(1,3,12,5)(2,4,11,6)(7,16,9,14)(8,15,10,13)(17,20,18,19)"
"3715891200.a"	"4CL"	4	7257600	NULL	"2AA,4CL,4CL,4CL"	"(1,12,10,5)(2,11,9,6)(3,7,4,8)(13,15)(14,16)(19,20)"
"3715891200.a"	"5A"	5	96768	NULL	"5A,5A,1A,5A"	"(5,13,7,16,20)(6,14,8,15,19)"
"3715891200.a"	"5B"	5	18579456	NULL	"5B,5B,1A,5B"	"(1,10,8,15,4)(2,9,7,16,3)(5,19,11,18,14)(6,20,12,17,13)"
"3715891200.a"	"6A"	6	960	NULL	"3A,2I,6A,6A"	"(1,13,7)(2,14,8)(3,4)(5,6)(9,10)(11,12)(15,16)(17,18)(19,20)"
"3715891200.a"	"6B"	6	960	NULL	"3A,2A,6B,6B"	"(1,2)(3,4)(5,6)(7,11,13,8,12,14)(9,10)(15,16)(17,18)(19,20)"
"3715891200.a"	"6C"	6	960	NULL	"3A,2H,6C,6C"	"(1,11,19,2,12,20)"
"3715891200.a"	"6D"	6	6720	NULL	"3A,2K,6D,6D"	"(3,4)(5,6)(7,8)(9,10)(11,12)(13,19,17)(14,20,18)(15,16)"
"3715891200.a"	"6E"	6	6720	NULL	"3A,2B,6E,6E"	"(3,13,5)(4,14,6)(11,12)"
"3715891200.a"	"6F"	6	6720	NULL	"3A,2J,6F,6F"	"(1,18,4,2,17,3)(5,6)"
"3715891200.a"	"6G"	6	6720	NULL	"3A,2C,6G,6G"	"(1,2)(3,15,18,4,16,17)(7,8)(9,10)(11,12)(13,14)(19,20)"
"3715891200.a"	"6H"	6	20160	NULL	"3A,2D,6H,6H"	"(9,19,18)(10,20,17)(11,12)(13,14)"
"3715891200.a"	"6I"	6	20160	NULL	"3A,2E,6I,6I"	"(1,2)(3,4)(5,6)(7,10,11,8,9,12)(15,16)(17,18)"
"3715891200.a"	"6J"	6	20160	NULL	"3A,2L,6J,6J"	"(1,9,16)(2,10,15)(3,4)(5,6)(7,8)(17,18)(19,20)"
"3715891200.a"	"6K"	6	20160	NULL	"3A,2L,6K,6K"	"(1,18,6,2,17,5)(9,10)(15,16)"
"3715891200.a"	"6L"	6	33600	NULL	"3A,2H,6L,6L"	"(9,10)(11,12)(13,14)(15,17,19)(16,18,20)"
"3715891200.a"	"6M"	6	33600	NULL	"3A,2K,6M,6M"	"(9,10)(11,12)(13,14)(15,17,19,16,18,20)"
"3715891200.a"	"6N"	6	33600	NULL	"3A,2I,6N,6N"	"(7,8)(9,10)(11,12)(13,14)(15,17,19,16,18,20)"
"3715891200.a"	"6O"	6	33600	NULL	"3A,2J,6O,6O"	"(7,8)(9,19,12)(10,20,11)(13,14)(15,16)(17,18)"
"3715891200.a"	"6P"	6	40320	NULL	"3A,2T,6P,6P"	"(1,19,10,2,20,9)(5,8)(6,7)"
"3715891200.a"	"6Q"	6	40320	NULL	"3A,2S,6Q,6Q"	"(1,15,19)(2,16,20)(3,4)(5,6)(7,8)(9,12)(10,11)(13,14)(17,18)"
"3715891200.a"	"6R"	6	40320	NULL	"3A,2F,6R,6R"	"(3,14)(4,13)(5,8,15)(6,7,16)"
"3715891200.a"	"6S"	6	40320	NULL	"3A,2G,6S,6S"	"(1,2)(3,8)(4,7)(5,6)(9,19,16,10,20,15)(11,12)(13,14)(17,18)"
"3715891200.a"	"6T"	6	134400	NULL	"3B,2K,6T,6T"	"(5,11,9,6,12,10)(7,13,17,8,14,18)"
"3715891200.a"	"6U"	6	134400	NULL	"3B,2J,6U,6U"	"(1,2)(3,4)(5,9,12)(6,10,11)(7,14,19)(8,13,20)(15,16)(17,18)"
"3715891200.a"	"6V"	6	134400	NULL	"3B,2A,6V,6V"	"(1,13,12,2,14,11)(3,4)(5,6)(7,16,20,8,15,19)(9,10)(17,18)"
"3715891200.a"	"6W"	6	201600	NULL	"3A,2M,6W,6W"	"(9,17,19)(10,18,20)(11,13)(12,14)(15,16)"
"3715891200.a"	"6X"	6	201600	NULL	"3A,2N,6X,6X"	"(3,4)(5,6)(7,8)(9,17,19,10,18,20)(11,13)(12,14)(15,16)"
"3715891200.a"	"6Y"	6	201600	NULL	"3A,2U,6Y,6Y"	"(3,4)(5,7,15)(6,8,16)(9,10)(11,17)(12,18)(13,14)(19,20)"
"3715891200.a"	"6Z"	6	201600	NULL	"3A,2U,6Z,6Z"	"(1,2)(5,7,15,6,8,16)(11,17)(12,18)"
"3715891200.a"	"6AA"	6	268800	NULL	"3B,2H,6AA,6AA"	"(5,7,11)(6,8,12)(9,17,14,10,18,13)"
"3715891200.a"	"6AB"	6	268800	NULL	"3B,2I,6AB,6AB"	"(1,2)(3,4)(5,7,11)(6,8,12)(9,17,14,10,18,13)(15,16)(19,20)"
"3715891200.a"	"6AC"	6	403200	NULL	"3A,2P,6AC,6AC"	"(7,9)(8,10)(11,13,17)(12,14,18)(15,16)(19,20)"
"3715891200.a"	"6AD"	6	403200	NULL	"3A,2S,6AD,6AD"	"(7,9)(8,10)(11,13,17,12,14,18)(15,16)(19,20)"
"3715891200.a"	"6AE"	6	403200	NULL	"3A,2AC,6AE,6AE"	"(7,15)(8,16)(9,11,19,10,12,20)(13,17)(14,18)"
"3715891200.a"	"6AF"	6	403200	NULL	"3A,2T,6AF,6AF"	"(5,6)(7,9)(8,10)(11,13,17)(12,14,18)(15,16)(19,20)"
"3715891200.a"	"6AG"	6	403200	NULL	"3A,2Q,6AG,6AG"	"(1,2)(7,9)(8,10)(11,13,17,12,14,18)(15,16)(19,20)"
"3715891200.a"	"6AH"	6	403200	NULL	"3A,2AC,6AH,6AH"	"(1,2)(3,4)(5,6)(7,15)(8,16)(9,11,19)(10,12,20)(13,17)(14,18)"
"3715891200.a"	"6AI"	6	403200	NULL	"3A,2R,6AI,6AI"	"(1,2)(3,4)(5,6)(7,15)(8,16)(9,11,19,10,12,20)(13,17)(14,18)"
"3715891200.a"	"6AJ"	6	403200	NULL	"3A,2O,6AJ,6AJ"	"(5,15,7)(6,16,8)(11,17)(12,18)(13,20)(14,19)"
"3715891200.a"	"6AK"	6	537600	NULL	"3B,2B,6AK,6AK"	"(5,7,11)(6,8,12)(9,17,13)(10,18,14)(19,20)"
"3715891200.a"	"6AL"	6	537600	NULL	"3B,2I,6AL,6AL"	"(5,7,11,6,8,12)(9,17,14,10,18,13)(19,20)"
"3715891200.a"	"6AM"	6	537600	NULL	"3B,2H,6AM,6AM"	"(3,4)(5,7,11)(6,8,12)(9,17,13)(10,18,14)(15,16)(19,20)"
"3715891200.a"	"6AN"	6	537600	NULL	"3B,2C,6AN,6AN"	"(3,4)(5,7,11,6,8,12)(9,17,14,10,18,13)(15,16)(19,20)"
"3715891200.a"	"6AO"	6	806400	NULL	"3B,2X,6AO,6AO"	"(5,7,11,13,9,17)(6,8,12,14,10,18)"
"3715891200.a"	"6AP"	6	806400	NULL	"3A,2X,6AP,6AP"	"(3,5)(4,6)(7,15)(8,16)(9,11)(10,12)(13,17,19)(14,18,20)"
"3715891200.a"	"6AQ"	6	806400	NULL	"3A,2AF,6AQ,6AQ"	"(3,5)(4,6)(7,15)(8,16)(9,11)(10,12)(13,17,19,14,18,20)"
"3715891200.a"	"6AR"	6	806400	NULL	"3B,2Y,6AR,6AR"	"(1,2)(3,4)(5,7,11,13,9,17)(6,8,12,14,10,18)(15,16)(19,20)"
"3715891200.a"	"6AS"	6	806400	NULL	"3A,2AG,6AS,6AS"	"(1,2)(3,5)(4,6)(7,15)(8,16)(9,11)(10,12)(13,17,19)(14,18,20)"
"3715891200.a"	"6AT"	6	806400	NULL	"3A,2Y,6AT,6AT"	"(1,2)(3,5)(4,6)(7,15)(8,16)(9,11)(10,12)(13,17,19,14,18,20)"
"3715891200.a"	"6AU"	6	806400	NULL	"3B,2D,6AU,6AU"	"(3,4)(7,13,9)(8,14,10)(11,19,17)(12,20,18)(15,16)"
"3715891200.a"	"6AV"	6	806400	NULL	"3B,2E,6AV,6AV"	"(1,17,12,2,18,11)(3,4)(7,16,9,8,15,10)(19,20)"
"3715891200.a"	"6AW"	6	1075200	NULL	"3B,2J,6AW,6AW"	"(3,5,7)(4,6,8)(9,15,14,10,16,13)(19,20)"
"3715891200.a"	"6AX"	6	1075200	NULL	"3B,2K,6AX,6AX"	"(3,5,7)(4,6,8)(9,15,14,10,16,13)(11,12)(17,18)(19,20)"
"3715891200.a"	"6AY"	6	1209600	NULL	"3A,2V,6AY,6AY"	"(5,19)(6,20)(7,9)(8,10)(11,13,17)(12,14,18)(15,16)"
"3715891200.a"	"6AZ"	6	1209600	NULL	"3A,2AB,6AZ,6AZ"	"(5,19)(6,20)(7,9)(8,10)(11,13,17,12,14,18)(15,16)"
"3715891200.a"	"6BA"	6	1209600	NULL	"3A,2W,6BA,6BA"	"(1,2)(5,19)(6,20)(7,9)(8,10)(11,13,17,12,14,18)(15,16)"
"3715891200.a"	"6BB"	6	1209600	NULL	"3A,2AA,6BB,6BB"	"(1,16,11)(2,15,12)(3,7)(4,8)(5,19)(6,20)(9,10)(13,14)"
"3715891200.a"	"6BC"	6	1433600	NULL	"3C,2C,6BC,6BC"	"(3,8,6,4,7,5)(9,13,17,10,14,18)(11,15,19,12,16,20)"
"3715891200.a"	"6BD"	6	1433600	NULL	"3C,2B,6BD,6BD"	"(1,20,4)(2,19,3)(5,6)(7,15,13)(8,16,14)(9,18,12)(10,17,11)"
"3715891200.a"	"6BE"	6	1433600	NULL	"3C,2A,6BE,6BE"	"(1,10,18,2,9,17)(3,12,5,4,11,6)(7,13,16,8,14,15)(19,20)"
"3715891200.a"	"6BF"	6	1612800	NULL	"3B,2L,6BF,6BF"	"(3,5,7)(4,6,8)(9,15,14,10,16,13)(11,12)(17,18)"
"3715891200.a"	"6BG"	6	1612800	NULL	"3B,2F,6BG,6BG"	"(3,15)(4,16)(7,9,13)(8,10,14)(11,17,19)(12,18,20)"
"3715891200.a"	"6BH"	6	1612800	NULL	"3B,2Q,6BH,6BH"	"(3,15)(4,16)(7,9,13,8,10,14)(11,17,19,12,18,20)"
"3715891200.a"	"6BI"	6	1612800	NULL	"3B,2P,6BI,6BI"	"(1,2)(3,15)(4,16)(5,6)(7,9,13)(8,10,14)(11,17,19)(12,18,20)"
"3715891200.a"	"6BJ"	6	1612800	NULL	"3B,2G,6BJ,6BJ"	"(1,2)(3,15)(4,16)(5,6)(7,9,13,8,10,14)(11,17,19,12,18,20)"
"3715891200.a"	"6BK"	6	1612800	NULL	"3B,2O,6BK,6BK"	"(1,4,17)(2,3,18)(5,7)(6,8)(9,20,13)(10,19,14)(11,15)(12,16)"
"3715891200.a"	"6BL"	6	1612800	NULL	"3B,2R,6BL,6BL"	"(1,18,19,2,17,20)(3,9,5,4,10,6)(7,15)(8,16)(11,14)(12,13)"
"3715891200.a"	"6BM"	6	3225600	NULL	"3B,2M,6BM,6BM"	"(1,6,8)(2,5,7)(3,4)(9,20,13)(10,19,14)(11,17)(12,18)"
"3715891200.a"	"6BN"	6	3225600	NULL	"3B,2S,6BN,6BN"	"(1,13,19)(2,14,20)(3,9,6,4,10,5)(7,8)(11,12)(15,18)(16,17)"
"3715891200.a"	"6BO"	6	3225600	NULL	"3B,2AG,6BO,6BO"	"(3,6,13,7,9,18)(4,5,14,8,10,17)(19,20)"
"3715891200.a"	"6BP"	6	3225600	NULL	"3B,2T,6BP,6BP"	"(3,19,14,4,20,13)(5,18,10)(6,17,9)(7,11)(8,12)"
"3715891200.a"	"6BQ"	6	3225600	NULL	"3B,2N,6BQ,6BQ"	"(1,19,7,2,20,8)(3,17,10,4,18,9)(5,11)(6,12)(13,14)"
"3715891200.a"	"6BR"	6	3225600	NULL	"3B,2AC,6BR,6BR"	"(1,18,12)(2,17,11)(3,9,8,4,10,7)(5,16)(6,15)(13,20)(14,19)"
"3715891200.a"	"6BS"	6	3225600	NULL	"3B,2AF,6BS,6BS"	"(1,2)(5,9,17,20,8,15)(6,10,18,19,7,16)(11,12)(13,14)"
"3715891200.a"	"6BT"	6	4300800	NULL	"3C,2K,6BT,6BT"	"(3,13,12)(4,14,11)(5,8,9,6,7,10)(15,19,18,16,20,17)"
"3715891200.a"	"6BU"	6	4300800	NULL	"3C,2J,6BU,6BU"	"(1,14,20)(2,13,19)(3,11,18,4,12,17)(5,9,16)(6,10,15)(7,8)"
"3715891200.a"	"6BV"	6	4300800	NULL	"3C,2I,6BV,6BV"	"(1,6,3,2,5,4)(7,13,18)(8,14,17)(9,19,16,10,20,15)(11,12)"
"3715891200.a"	"6BW"	6	4300800	NULL	"3C,2H,6BW,6BW"	"(1,8,14,2,7,13)(3,19,12)(4,20,11)(5,16,18)(6,15,17)"
"3715891200.a"	"6BX"	6	4838400	NULL	"3B,2AH,6BX,6BX"	"(1,4,15,18,9,7)(2,3,16,17,10,8)(11,12)(19,20)"
"3715891200.a"	"6BY"	6	6451200	NULL	"3B,2U,6BY,6BY"	"(1,2)(3,16,6)(4,15,5)(7,10)(8,9)(11,19,17,12,20,18)"
"3715891200.a"	"6BZ"	6	9676800	NULL	"3B,2Z,6BZ,6BZ"	"(1,4)(2,3)(5,9)(6,10)(7,14,19,15,18,12)(8,13,20,16,17,11)"
"3715891200.a"	"6CA"	6	9676800	NULL	"3B,2AD,6CA,6CA"	"(3,7,9,17,11,19)(4,8,10,18,12,20)(5,15)(6,16)"
"3715891200.a"	"6CB"	6	9676800	NULL	"3B,2AE,6CB,6CB"	"(1,2)(3,6)(4,5)(7,17,20,16,14,9)(8,18,19,15,13,10)(11,12)"
"3715891200.a"	"6CC"	6	19353600	NULL	"3B,2AI,6CC,6CC"	"(1,2)(3,6,10,18,14,12)(4,5,9,17,13,11)(7,20)(8,19)"
"3715891200.a"	"6CD"	6	25804800	NULL	"3C,2AG,6CD,6CD"	"(1,2)(3,13,20,15,18,9)(4,14,19,16,17,10)(5,11,7)(6,12,8)"
"3715891200.a"	"6CE"	6	25804800	NULL	"3C,2AF,6CE,6CE"	"(1,8,10,2,7,9)(3,17,6,11,14,20)(4,18,5,12,13,19)"
"3715891200.a"	"6CF"	6	25804800	NULL	"3C,2Y,6CF,6CF"	"(1,17,9,15,4,11)(2,18,10,16,3,12)(5,6)(7,13,20,8,14,19)"
"3715891200.a"	"6CG"	6	25804800	NULL	"3C,2X,6CG,6CG"	"(1,12,19,9,17,16)(2,11,20,10,18,15)(3,13,7)(4,14,8)"
"3715891200.a"	"7A"	7	5529600	NULL	"7A,7A,7A,1A"	"(3,19,9,6,15,12,18)(4,20,10,5,16,11,17)"
"3715891200.a"	"8A"	8	10080	NULL	"4E,8A,8A,8A"	"(9,19,18,11,10,20,17,12)"
"3715891200.a"	"8B"	8	10080	NULL	"4E,8B,8B,8B"	"(1,2)(3,4)(5,6)(7,8)(9,19,18,11,10,20,17,12)(13,14)(15,16)"
"3715891200.a"	"8C"	8	60480	NULL	"4E,8C,8C,8C"	"(3,4)(7,13,15,17,8,14,16,18)"
"3715891200.a"	"8D"	8	60480	NULL	"4E,8D,8D,8D"	"(1,2)(3,18,15,11,4,17,16,12)(5,6)(7,8)(9,10)(13,14)"
"3715891200.a"	"8E"	8	151200	NULL	"4E,8E,8E,8E"	"(1,4,7,9,2,3,8,10)(5,6)(11,12)(15,16)(17,18)"
"3715891200.a"	"8F"	8	151200	NULL	"4E,8F,8F,8F"	"(3,4)(5,15,8,19,6,16,7,20)(9,10)"
"3715891200.a"	"8G"	8	201600	NULL	"4E,8G,8G,8G"	"(5,6)(7,8)(9,19,18,11,10,20,17,12)(15,16)"
"3715891200.a"	"8H"	8	302400	NULL	"4E,8H,8H,8H"	"(3,10,14,5,4,9,13,6)(7,11)(8,12)"
"3715891200.a"	"8I"	8	302400	NULL	"4X,8I,8I,8I"	"(3,7,17,16,4,8,18,15)(9,19,10,20)"
"3715891200.a"	"8J"	8	302400	NULL	"4E,8J,8J,8J"	"(1,15)(2,16)(3,14,19,17,4,13,20,18)(5,6)(7,8)(9,10)(11,12)"
"3715891200.a"	"8K"	8	302400	NULL	"4X,8K,8K,8K"	"(1,14,12,8,2,13,11,7)(3,4)(5,19,6,20)(9,10)(15,16)(17,18)"
"3715891200.a"	"8L"	8	1209600	NULL	"4E,8L,8L,8L"	"(1,5)(2,6)(3,16)(4,15)(7,14,19,12,8,13,20,11)(9,17)(10,18)"
"3715891200.a"	"8M"	8	1209600	NULL	"4E,8M,8M,8M"	"(1,19,6,11,2,20,5,12)(7,8)(9,13)(10,14)"
"3715891200.a"	"8N"	8	1209600	NULL	"4X,8N,8N,8N"	"(3,4)(5,13,6,14)(7,12,16,10,8,11,15,9)(17,18)(19,20)"
"3715891200.a"	"8O"	8	1209600	NULL	"4E,8O,8O,8O"	"(1,4,7,9,2,3,8,10)(5,11)(6,12)(13,14)(15,16)(19,20)"
"3715891200.a"	"8P"	8	1209600	NULL	"4H,8P,8P,8P"	"(1,15,2,16)(3,18,4,17)(5,20,9,12,6,19,10,11)(7,13,8,14)"
"3715891200.a"	"8Q"	8	1209600	NULL	"4X,8Q,8Q,8Q"	"(1,6,12,20,2,5,11,19)(3,17,4,18)(7,8)"
"3715891200.a"	"8R"	8	1814400	NULL	"4E,8R,8R,8R"	"(5,6)(7,15)(8,16)(9,11,17,19,10,12,18,20)(13,14)"
"3715891200.a"	"8S"	8	1814400	NULL	"4E,8S,8S,8S"	"(3,5)(4,6)(7,11,9,17,8,12,10,18)(13,15)(14,16)"
"3715891200.a"	"8T"	8	1814400	NULL	"4W,8T,8T,8T"	"(3,5,4,6)(7,11,9,17,8,12,10,18)(13,15,14,16)"
"3715891200.a"	"8U"	8	1814400	NULL	"4X,8U,8U,8U"	"(3,5,7,15,4,6,8,16)(11,12)(13,14)(17,19,18,20)"
"3715891200.a"	"8V"	8	1814400	NULL	"4E,8V,8V,8V"	"(1,2)(3,5)(4,6)(7,11,9,17,8,12,10,18)(13,15)(14,16)(19,20)"
"3715891200.a"	"8W"	8	1814400	NULL	"4W,8W,8W,8W"	"(1,2)(3,5,4,6)(7,11,9,17,8,12,10,18)(13,15,14,16)(19,20)"
"3715891200.a"	"8X"	8	3628800	NULL	"4AC,8X,8X,8X"	"(1,15,20,13,2,16,19,14)(5,7,11,10,6,8,12,9)"
"3715891200.a"	"8Y"	8	3628800	NULL	"4AC,8Y,8Y,8Y"	"(1,2)(3,12,14,16,4,11,13,15)(5,6)(7,19,9,17,8,20,10,18)"
"3715891200.a"	"8Z"	8	3628800	NULL	"4X,8Z,8Z,8Z"	"(1,17,2,18)(3,11)(4,12)(5,13)(6,14)(7,9,16,19,8,10,15,20)"
"3715891200.a"	"8AA"	8	3628800	NULL	"4W,8AA,8AA,8AA"	"(1,15,19,10,2,16,20,9)(3,14)(4,13)(5,11,6,12)(7,18,8,17)"
"3715891200.a"	"8AB"	8	3628800	NULL	"4X,8AB,8AB,8AB"	"(1,15,17,10,2,16,18,9)(3,14,4,13)(5,8)(6,7)"
"3715891200.a"	"8AC"	8	3628800	NULL	"4W,8AC,8AC,8AC"	"(1,20,2,19)(3,17,5,12,4,18,6,11)(7,15,8,16)(9,10)"
"3715891200.a"	"8AD"	8	3628800	NULL	"4E,8AD,8AD,8AD"	"(1,2)(3,10)(4,9)(7,15,17,14,8,16,18,13)(11,20)(12,19)"
"3715891200.a"	"8AE"	8	3628800	NULL	"4X,8AE,8AE,8AE"	"(1,18,2,17)(3,9,13,15,4,10,14,16)(5,11)(6,12)(7,8)(19,20)"
"3715891200.a"	"8AF"	8	7257600	NULL	"4BJ,8AF,8AF,8AF"	"(1,3,18,10)(2,4,17,9)(5,8,12,19,6,7,11,20)(13,14)(15,16)"
"3715891200.a"	"8AG"	8	7257600	NULL	"4AC,8AG,8AG,8AG"	"(1,11,16,17,2,12,15,18)(3,7)(4,8)(5,13,10,19,6,14,9,20)"
"3715891200.a"	"8AH"	8	7257600	NULL	"4AC,8AH,8AH,8AH"	"(1,2)(3,17,15,12,4,18,16,11)(5,14,7,19,6,13,8,20)"
"3715891200.a"	"8AI"	8	7257600	NULL	"4BJ,8AI,8AI,8AI"	"(1,20,11,14,2,19,12,13)(5,15,10,7)(6,16,9,8)"
"3715891200.a"	"8AJ"	8	7257600	NULL	"4X,8AJ,8AJ,8AJ"	"(1,15,8,10,2,16,7,9)(5,11,6,12)(13,19)(14,20)(17,18)"
"3715891200.a"	"8AK"	8	7257600	NULL	"4AB,8AK,8AK,8AK"	"(1,6,11,19,2,5,12,20)(3,9,8,14,4,10,7,13)(15,18,16,17)"
"3715891200.a"	"8AL"	8	14515200	NULL	"4BJ,8AL,8AL,8AL"	"(1,15,14,19,2,16,13,20)(3,17)(4,18)(5,12,9,7)(6,11,10,8)"
"3715891200.a"	"8AM"	8	14515200	NULL	"4BK,8AM,8AM,8AM"	"(1,7,13,20,2,8,14,19)(3,11,9,15)(4,12,10,16)(5,17,6,18)"
"3715891200.a"	"8AN"	8	14515200	NULL	"4BJ,8AN,8AN,8AN"	"(1,18,7,16)(2,17,8,15)(3,11,19,13,4,12,20,14)(5,6)"
"3715891200.a"	"8AO"	8	29030400	NULL	"4CA,8AO,8AO,8AO"	"(1,7,16,12,17,10,13,20)(2,8,15,11,18,9,14,19)(3,4)(5,6)"
"3715891200.a"	"8AP"	8	29030400	NULL	"4CA,8AP,8AP,8AP"	"(1,9,12,16,19,7,14,18)(2,10,11,15,20,8,13,17)"
"3715891200.a"	"8AQ"	8	58060800	NULL	"4CA,8AQ,8AQ,8AQ"	"(1,4,15,14,8,12,9,18)(2,3,16,13,7,11,10,17)(5,19)(6,20)"
"3715891200.a"	"8AR"	8	58060800	NULL	"4CA,8AR,8AR,8AR"	"(1,17,10,14,20,11,3,6)(2,18,9,13,19,12,4,5)(7,8)"
"3715891200.a"	"8AS"	8	58060800	NULL	"4CB,8AS,8AS,8AS"	"(1,10,14,19,11,16,17,8)(2,9,13,20,12,15,18,7)(3,6,4,5)"
"3715891200.a"	"9A"	9	103219200	NULL	"9A,3C,9A,9A"	"(3,15,13,6,12,10,7,20,18)(4,16,14,5,11,9,8,19,17)"
"3715891200.a"	"10A"	10	96768	NULL	"5A,10A,2A,10A"	"(1,10,11,16,17,2,9,12,15,18)(3,4)(5,6)(7,8)(13,14)(19,20)"
"3715891200.a"	"10B"	10	96768	NULL	"5A,10B,2L,10B"	"(3,7,5,17,20,4,8,6,18,19)"
"3715891200.a"	"10C"	10	96768	NULL	"5A,10C,2L,10C"	"(1,2)(3,13,8,20,12)(4,14,7,19,11)(5,6)(9,10)(15,16)(17,18)"
"3715891200.a"	"10D"	10	483840	NULL	"5A,10D,2B,10D"	"(1,8,10,18,20)(2,7,9,17,19)(11,12)"
"3715891200.a"	"10E"	10	483840	NULL	"5A,10E,2J,10E"	"(1,2)(3,15,7,20,18)(4,16,8,19,17)(5,6)(9,10)(11,12)"
"3715891200.a"	"10F"	10	483840	NULL	"5A,10F,2K,10F"	"(1,2)(3,15,13,12,5,4,16,14,11,6)"
"3715891200.a"	"10G"	10	483840	NULL	"5A,10G,2C,10G"	"(1,7,10,14,20,2,8,9,13,19)(3,4)(11,12)(15,16)(17,18)"
"3715891200.a"	"10H"	10	967680	NULL	"5A,10H,2D,10H"	"(1,2)(5,15,19,8,9)(6,16,20,7,10)(17,18)"
"3715891200.a"	"10I"	10	967680	NULL	"5A,10I,2H,10I"	"(1,13,3,10,18)(2,14,4,9,17)(7,8)(11,12)(19,20)"
"3715891200.a"	"10J"	10	967680	NULL	"5A,10J,2E,10J"	"(1,5,3,18,16,2,6,4,17,15)(7,8)(9,10)(11,12)"
"3715891200.a"	"10K"	10	967680	NULL	"5A,10K,2I,10K"	"(5,13,17,20,12,6,14,18,19,11)(9,10)(15,16)"
"3715891200.a"	"10L"	10	1935360	NULL	"5A,10L,2T,10L"	"(1,2)(3,12,15,14,18)(4,11,16,13,17)(5,8)(6,7)(9,10)(19,20)"
"3715891200.a"	"10M"	10	1935360	NULL	"5A,10M,2S,10M"	"(3,17,7,13,5,4,18,8,14,6)(9,12)(10,11)"
"3715891200.a"	"10N"	10	1935360	NULL	"5A,10N,2F,10N"	"(1,20,18,10,12)(2,19,17,9,11)(3,14)(4,13)"
"3715891200.a"	"10O"	10	1935360	NULL	"5A,10O,2G,10O"	"(1,5,14,11,17,2,6,13,12,18)(3,8)(4,7)(9,10)(15,16)(19,20)"
"3715891200.a"	"10P"	10	5806080	NULL	"5A,10P,2O,10P"	"(1,17)(2,18)(3,12)(4,11)(5,16,13,20,7)(6,15,14,19,8)"
"3715891200.a"	"10Q"	10	5806080	NULL	"5A,10Q,2R,10Q"	"(1,17)(2,18)(3,13)(4,14)(5,16,8,10,19,6,15,7,9,20)(11,12)"
"3715891200.a"	"10R"	10	5806080	NULL	"5A,10R,2P,10R"	"(1,2)(3,4)(5,13,18,11,10)(6,14,17,12,9)(7,20)(8,19)"
"3715891200.a"	"10S"	10	5806080	NULL	"5A,10S,2M,10S"	"(1,15)(2,16)(7,17,19,10,14)(8,18,20,9,13)(11,12)"
"3715891200.a"	"10T"	10	5806080	NULL	"5A,10T,2Q,10T"	"(1,6)(2,5)(3,13,7,10,12,4,14,8,9,11)(15,16)"
"3715891200.a"	"10U"	10	5806080	NULL	"5A,10U,2N,10U"	"(1,18,13,8,10,2,17,14,7,9)(5,6)(11,16)(12,15)(19,20)"
"3715891200.a"	"10V"	10	5806080	NULL	"5A,10V,2W,10V"	"(1,7,10,14,3,2,8,9,13,4)(5,11)(6,12)(15,20)(16,19)"
"3715891200.a"	"10W"	10	5806080	NULL	"5A,10W,2V,10W"	"(1,11,15,18,20)(2,12,16,17,19)(3,5)(4,6)(7,9)(8,10)(13,14)"
"3715891200.a"	"10X"	10	18579456	NULL	"5B,10X,2A,10X"	"(1,5,11,16,8,2,6,12,15,7)(3,20,18,13,9,4,19,17,14,10)"
"3715891200.a"	"10Y"	10	37158912	NULL	"5B,10Y,2L,10Y"	"(1,14,8,19,12)(2,13,7,20,11)(3,17,15,9,6,4,18,16,10,5)"
"3715891200.a"	"10Z"	10	185794560	NULL	"5B,10Z,2Z,10Z"	"(1,11,10,18,8,14,15,5,4,19)(2,12,9,17,7,13,16,6,3,20)"
"3715891200.a"	"12A"	12	40320	NULL	"6H,4I,12A,12A"	"(1,17,2,18)(3,12,13)(4,11,14)(5,6)(7,8)(9,10)(15,16)(19,20)"
"3715891200.a"	"12B"	12	40320	NULL	"6H,4J,12B,12B"	"(1,17,20,2,18,19)(11,16,12,15)"
"3715891200.a"	"12C"	12	40320	NULL	"6H,4B,12C,12C"	"(1,2)(3,8,16,4,7,15)(5,6)(9,19,10,20)(11,12)(13,14)(17,18)"
"3715891200.a"	"12D"	12	40320	NULL	"6H,4A,12D,12D"	"(1,6,3)(2,5,4)(7,16,8,15)"
"3715891200.a"	"12E"	12	201600	NULL	"6H,4M,12E,12E"	"(9,17,19,10,18,20)(11,13,12,14)(15,16)"
"3715891200.a"	"12F"	12	201600	NULL	"6H,4C,12F,12F"	"(5,7,15)(6,8,16)(11,17,12,18)(19,20)"
"3715891200.a"	"12G"	12	201600	NULL	"6H,4M,12G,12G"	"(3,4)(5,6)(7,8)(9,17,19)(10,18,20)(11,13,12,14)(15,16)"
"3715891200.a"	"12H"	12	201600	NULL	"6H,4D,12H,12H"	"(1,2)(5,7,15,6,8,16)(9,10)(11,17,12,18)(13,14)(19,20)"
"3715891200.a"	"12I"	12	403200	NULL	"6H,4F,12I,12I"	"(7,9,8,10)(11,13,17)(12,14,18)(15,16)(19,20)"
"3715891200.a"	"12J"	12	403200	NULL	"6H,4I,12J,12J"	"(7,9,8,10)(11,13,17,12,14,18)(15,16)(19,20)"
"3715891200.a"	"12K"	12	403200	NULL	"6O,4Y,12K,12K"	"(7,15,8,16)(9,11,19,10,12,20)(13,17,14,18)"
"3715891200.a"	"12L"	12	403200	NULL	"6H,4J,12L,12L"	"(5,6)(7,9,8,10)(11,13,17)(12,14,18)(15,16)(19,20)"
"3715891200.a"	"12M"	12	403200	NULL	"6H,4G,12M,12M"	"(5,6)(7,9,8,10)(11,13,17,12,14,18)(15,16)(19,20)"
"3715891200.a"	"12N"	12	403200	NULL	"6O,4Y,12N,12N"	"(1,2)(3,4)(5,6)(7,15,8,16)(9,11,19)(10,12,20)(13,17,14,18)"
"3715891200.a"	"12O"	12	403200	NULL	"6O,4H,12O,12O"	"(1,2)(3,4)(5,6)(7,15,8,16)(9,11,19,10,12,20)(13,17,14,18)"
"3715891200.a"	"12P"	12	403200	NULL	"6O,4E,12P,12P"	"(5,15,7)(6,16,8)(9,17,10,18)(11,19,12,20)"
"3715891200.a"	"12Q"	12	806400	NULL	"6H,4K,12Q,12Q"	"(7,15,8,16)(9,11,19)(10,12,20)(13,17)(14,18)"
"3715891200.a"	"12R"	12	806400	NULL	"6H,4AJ,12R,12R"	"(7,15,8,16)(9,11,19,10,12,20)(13,17)(14,18)"
"3715891200.a"	"12S"	12	806400	NULL	"6T,4R,12S,12S"	"(5,7,11,13,9,17,6,8,12,14,10,18)"
"3715891200.a"	"12T"	12	806400	NULL	"6D,4R,12T,12T"	"(3,5,4,6)(7,15,8,16)(9,11,10,12)(13,17,19)(14,18,20)"
"3715891200.a"	"12U"	12	806400	NULL	"6D,4AK,12U,12U"	"(3,5,4,6)(7,15,8,16)(9,11,10,12)(13,17,19,14,18,20)"
"3715891200.a"	"12V"	12	806400	NULL	"6H,4AJ,12V,12V"	"(1,2)(3,4)(5,6)(7,15,8,16)(9,11,19)(10,12,20)(13,17)(14,18)"
"3715891200.a"	"12W"	12	806400	NULL	"6H,4L,12W,12W"	"(1,2)(3,4)(5,6)(7,15,8,16)(9,11,19,10,12,20)(13,17)(14,18)"
"3715891200.a"	"12X"	12	806400	NULL	"6T,4S,12X,12X"	"(1,2)(3,4)(5,7,11,13,9,17,6,8,12,14,10,18)(15,16)(19,20)"
"3715891200.a"	"12Y"	12	806400	NULL	"6D,4AL,12Y,12Y"	"(1,2)(3,5,4,6)(7,15,8,16)(9,11,10,12)(13,17,19)(14,18,20)"
"3715891200.a"	"12Z"	12	806400	NULL	"6D,4S,12Z,12Z"	"(1,2)(3,5,4,6)(7,15,8,16)(9,11,10,12)(13,17,19,14,18,20)"
"3715891200.a"	"12AA"	12	1209600	NULL	"6O,4W,12AA,12AA"	"(5,19,6,20)(7,9,8,10)(11,13,17,12,14,18)(15,16)"
"3715891200.a"	"12AB"	12	1209600	NULL	"6O,4P,12AB,12AB"	"(3,4)(5,19,6,20)(7,9,8,10)(11,13,17,12,14,18)(15,16)"
"3715891200.a"	"12AC"	12	1209600	NULL	"6O,4Q,12AC,12AC"	"(1,2)(5,19,6,20)(7,9,8,10)(11,13,17)(12,14,18)"
"3715891200.a"	"12AD"	12	1209600	NULL	"6O,4X,12AD,12AD"	"(3,20,18)(4,19,17)(5,6)(7,15,8,16)(9,11,10,12)(13,14)"
"3715891200.a"	"12AE"	12	1612800	NULL	"6AJ,4N,12AE,12AE"	"(5,7,15)(6,8,16)(11,14,17,19)(12,13,18,20)"
"3715891200.a"	"12AF"	12	1612800	NULL	"6AJ,4AS,12AF,12AF"	"(5,7,15,6,8,16)(9,11,17,19)(10,12,18,20)"
"3715891200.a"	"12AG"	12	1612800	NULL	"6AU,4A,12AG,12AG"	"(3,15,4,16)(7,9,13)(8,10,14)(11,17,19)(12,18,20)"
"3715891200.a"	"12AH"	12	1612800	NULL	"6AU,4G,12AH,12AH"	"(3,15,4,16)(7,9,13,8,10,14)(11,17,19,12,18,20)"
"3715891200.a"	"12AI"	12	1612800	NULL	"6AJ,4AS,12AI,12AI"	"(1,2)(3,4)(5,7,15)(6,8,16)(9,11,17,19)(10,12,18,20)(13,14)"
"3715891200.a"	"12AJ"	12	1612800	NULL	"6AJ,4O,12AJ,12AJ"	"(1,2)(3,4)(5,8,15,6,7,16)(9,10)(11,13,17,20)(12,14,18,19)"
"3715891200.a"	"12AK"	12	1612800	NULL	"6AU,4F,12AK,12AK"	"(1,2)(3,15,4,16)(5,6)(7,9,13)(8,10,14)(11,17,19)(12,18,20)"
"3715891200.a"	"12AL"	12	1612800	NULL	"6AU,4B,12AL,12AL"	"(1,2)(3,15,4,16)(5,6)(7,9,13,8,10,14)(11,17,19,12,18,20)"
"3715891200.a"	"12AM"	12	1612800	NULL	"6U,4E,12AM,12AM"	"(1,18,2,17)(3,15,4,16)(5,12,9)(6,11,10)(7,19,14)(8,20,13)"
"3715891200.a"	"12AN"	12	1612800	NULL	"6U,4H,12AN,12AN"	"(1,18,8,2,17,7)(3,13,15,4,14,16)(5,10,6,9)(11,19,12,20)"
"3715891200.a"	"12AO"	12	2419200	NULL	"6H,4AD,12AO,12AO"	"(1,2)(5,12)(6,11)(7,17,14,8,18,13)(9,16,10,15)"
"3715891200.a"	"12AP"	12	2419200	NULL	"6H,4AX,12AP,12AP"	"(1,18)(2,17)(3,9)(4,10)(5,12,16,6,11,15)(7,13,8,14)"
"3715891200.a"	"12AQ"	12	2419200	NULL	"6H,4V,12AQ,12AQ"	"(1,14,2,13)(3,16,12,4,15,11)(7,10)(8,9)(17,18)(19,20)"
"3715891200.a"	"12AR"	12	2419200	NULL	"6O,4BB,12AR,12AR"	"(1,8,14)(2,7,13)(3,16,4,15)(5,19,6,20)(9,18)(10,17)(11,12)"
"3715891200.a"	"12AS"	12	2419200	NULL	"6H,4AE,12AS,12AS"	"(1,13,6,2,14,5)(3,18)(4,17)(7,8)(9,20)(10,19)(11,16,12,15)"
"3715891200.a"	"12AT"	12	2419200	NULL	"6O,4AF,12AT,12AT"	"(1,15,19)(2,16,20)(3,5,4,6)(7,12,8,11)(9,17)(10,18)"
"3715891200.a"	"12AU"	12	2419200	NULL	"6H,4U,12AU,12AU"	"(1,12,2,11)(3,4)(5,16,14)(6,15,13)(7,17)(8,18)"
"3715891200.a"	"12AV"	12	2419200	NULL	"6H,4AG,12AV,12AV"	"(1,2)(3,4)(5,13,6,14)(9,20)(10,19)(11,18,15)(12,17,16)"
"3715891200.a"	"12AW"	12	2419200	NULL	"6O,4BF,12AW,12AW"	"(1,12)(2,11)(3,15,4,16)(5,20,18,6,19,17)(9,14,10,13)"
"3715891200.a"	"12AX"	12	2419200	NULL	"6H,4BG,12AX,12AX"	"(1,8,2,7)(3,4)(5,14)(6,13)(9,16,11)(10,15,12)(17,20)(18,19)"
"3715891200.a"	"12AY"	12	2419200	NULL	"6H,4AH,12AY,12AY"	"(1,10)(2,9)(3,16,4,15)(5,8)(6,7)(11,20,18)(12,19,17)"
"3715891200.a"	"12AZ"	12	2419200	NULL	"6O,4AI,12AZ,12AZ"	"(1,4,2,3)(5,13,6,14)(7,19,16,8,20,15)(9,12)(10,11)(17,18)"
"3715891200.a"	"12BA"	12	3225600	NULL	"6AU,4J,12BA,12BA"	"(1,17,10)(2,18,9)(5,16,6,15)(7,14,19,8,13,20)"
"3715891200.a"	"12BB"	12	3225600	NULL	"6AU,4D,12BB,12BB"	"(1,2)(3,19,14,4,20,13)(7,17,8,18)(9,12,16,10,11,15)"
"3715891200.a"	"12BC"	12	3225600	NULL	"6AU,4L,12BC,12BC"	"(1,9,5,2,10,6)(3,17,19,4,18,20)(7,13)(8,14)(11,15,12,16)"
"3715891200.a"	"12BD"	12	3225600	NULL	"6T,4AK,12BD,12BD"	"(1,2)(3,19,13,7,6,18,4,20,14,8,5,17)(9,10)(15,16)"
"3715891200.a"	"12BE"	12	3225600	NULL	"6AU,4K,12BE,12BE"	"(1,16,10)(2,15,9)(3,18,11)(4,17,12)(5,20,6,19)(7,13)(8,14)"
"3715891200.a"	"12BF"	12	3225600	NULL	"6U,4Y,12BF,12BF"	"(1,11,17,2,12,18)(3,15,7)(4,16,8)(5,14,6,13)(9,20,10,19)"
"3715891200.a"	"12BG"	12	3225600	NULL	"6T,4AL,12BG,12BG"	"(3,15,7,11,6,10,4,16,8,12,5,9)(13,14)"
"3715891200.a"	"12BH"	12	3225600	NULL	"6AU,4C,12BH,12BH"	"(1,7,15)(2,8,16)(5,9,6,10)(11,12)(13,17,20)(14,18,19)"
"3715891200.a"	"12BI"	12	3225600	NULL	"6AU,4I,12BI,12BI"	"(1,2)(3,14,9)(4,13,10)(5,16,11,6,15,12)(7,8)(17,19,18,20)"
"3715891200.a"	"12BJ"	12	4838400	NULL	"6AJ,4AM,12BJ,12BJ"	"(3,7,12,4,8,11)(5,9,15,14)(6,10,16,13)(17,18)"
"3715891200.a"	"12BK"	12	4838400	NULL	"6AJ,4AP,12BK,12BK"	"(3,7,17)(4,8,18)(5,6)(9,14,12,15)(10,13,11,16)(19,20)"
"3715891200.a"	"12BL"	12	4838400	NULL	"6T,4AQ,12BL,12BL"	"(1,8,16,12,3,13,2,7,15,11,4,14)(5,6)(19,20)"
"3715891200.a"	"12BM"	12	4838400	NULL	"6AJ,4Z,12BM,12BM"	"(1,19,4,5)(2,20,3,6)(9,15,18)(10,16,17)(13,14)"
"3715891200.a"	"12BN"	12	4838400	NULL	"6AJ,4AA,12BN,12BN"	"(1,14,18,8)(2,13,17,7)(3,6,9,4,5,10)(11,12)(19,20)"
"3715891200.a"	"12BO"	12	6451200	NULL	"6BK,4O,12BO,12BO"	"(1,15,18,2,16,17)(3,10,5,4,9,6)(7,12,19,13)(8,11,20,14)"
"3715891200.a"	"12BP"	12	6451200	NULL	"6AU,4M,12BP,12BP"	"(1,2)(3,20,13,4,19,14)(5,9,11)(6,10,12)(7,15,8,16)"
"3715891200.a"	"12BQ"	12	6451200	NULL	"6BK,4N,12BQ,12BQ"	"(1,7,16)(2,8,15)(3,12,18,20)(4,11,17,19)(5,10,14)(6,9,13)"
"3715891200.a"	"12BR"	12	6451200	NULL	"6AU,4AJ,12BR,12BR"	"(1,4,2,3)(5,14,12,6,13,11)(7,10,20)(8,9,19)(15,18)(16,17)"
"3715891200.a"	"12BS"	12	9676800	NULL	"6AV,4AB,12BS,12BS"	"(1,7,17,16,12,9,2,8,18,15,11,10)(3,20,4,19)(5,6)(13,14)"
"3715891200.a"	"12BT"	12	9676800	NULL	"6T,4AT,12BT,12BT"	"(1,4,17,9,14,6,2,3,18,10,13,5)(7,8)(11,16)(12,15)(19,20)"
"3715891200.a"	"12BU"	12	9676800	NULL	"6T,4AU,12BU,12BU"	"(5,11)(6,12)(7,9,14,20,17,16,8,10,13,19,18,15)"
"3715891200.a"	"12BV"	12	9676800	NULL	"6V,4T,12BV,12BV"	"(1,20,13,8,12,15,2,19,14,7,11,16)(3,17,4,18)(5,9,6,10)"
"3715891200.a"	"12BW"	12	9676800	NULL	"6AJ,4BP,12BW,12BW"	"(1,11,4,7)(2,12,3,8)(5,9)(6,10)(15,19,17,16,20,18)"
"3715891200.a"	"12BX"	12	9676800	NULL	"6BB,4BQ,12BX,12BX"	"(1,11,16)(2,12,15)(3,5,7,19)(4,6,8,20)(9,13,10,14)(17,18)"
"3715891200.a"	"12BY"	12	9676800	NULL	"6T,4AV,12BY,12BY"	"(1,17,3,13,15,9,2,18,4,14,16,10)(5,7)(6,8)(11,20)(12,19)"
"3715891200.a"	"12BZ"	12	9676800	NULL	"6AJ,4AW,12BZ,12BZ"	"(1,6,8,2,5,7)(3,9,19,18)(4,10,20,17)(11,12)(13,16)(14,15)"
"3715891200.a"	"12CA"	12	9676800	NULL	"6AJ,4BS,12CA,12CA"	"(1,7,11)(2,8,12)(3,17,6,20)(4,18,5,19)(9,10)(13,16)(14,15)"
"3715891200.a"	"12CB"	12	9676800	NULL	"6AU,4AY,12CB,12CB"	"(1,2)(3,16,8,19,18,5)(4,15,7,20,17,6)(9,11,10,12)(13,14)"
"3715891200.a"	"12CC"	12	9676800	NULL	"6U,4AZ,12CC,12CC"	"(1,13,2,14)(3,19,18,6,12,9)(4,20,17,5,11,10)(7,16,8,15)"
"3715891200.a"	"12CD"	12	9676800	NULL	"6BB,4BA,12CD,12CD"	"(1,18,5,8)(2,17,6,7)(3,20,10)(4,19,9)(13,16,14,15)"
"3715891200.a"	"12CE"	12	9676800	NULL	"6BB,4BT,12CE,12CE"	"(1,14,15,9)(2,13,16,10)(3,5,20,4,6,19)(7,17,8,18)"
"3715891200.a"	"12CF"	12	9676800	NULL	"6AV,4AC,12CF,12CF"	"(1,10,2,9)(3,17,16,7,14,12,4,18,15,8,13,11)"
"3715891200.a"	"12CG"	12	9676800	NULL	"6AU,4BC,12CG,12CG"	"(3,14,16,18,5,19)(4,13,15,17,6,20)(7,9,8,10)"
"3715891200.a"	"12CH"	12	9676800	NULL	"6BB,4BD,12CH,12CH"	"(1,13,2,14)(3,12,16,20)(4,11,15,19)(5,9,18,6,10,17)(7,8)"
"3715891200.a"	"12CI"	12	9676800	NULL	"6AJ,4BE,12CI,12CI"	"(1,20,16,8)(2,19,15,7)(5,18,12)(6,17,11)(9,13)(10,14)"
"3715891200.a"	"12CJ"	12	12902400	NULL	"6BK,4AS,12CJ,12CJ"	"(1,17,19)(2,18,20)(3,13,7,6)(4,14,8,5)(9,11,16,10,12,15)"
"3715891200.a"	"12CK"	12	19353600	NULL	"6AV,4AN,12CK,12CK"	"(1,12,10,7,5,14,2,11,9,8,6,13)(3,16)(4,15)(17,20,18,19)"
"3715891200.a"	"12CL"	12	19353600	NULL	"6AU,4BL,12CL,12CL"	"(1,4,2,3)(5,7,14,12,9,19)(6,8,13,11,10,20)(15,16)"
"3715891200.a"	"12CM"	12	19353600	NULL	"6AU,4AO,12CM,12CM"	"(1,7,2,8)(3,19,10,6,17,14)(4,20,9,5,18,13)(11,16)(12,15)"
"3715891200.a"	"12CN"	12	19353600	NULL	"6T,4BM,12CN,12CN"	"(1,17)(2,18)(3,9,16,19,13,7,4,10,15,20,14,8)(11,12)"
"3715891200.a"	"12CO"	12	19353600	NULL	"6AV,4AR,12CO,12CO"	"(1,5,15,19,10,14,2,6,16,20,9,13)(3,7,4,8)(11,12)"
"3715891200.a"	"12CP"	12	25804800	NULL	"6BT,4S,12CP,12CP"	"(1,2)(3,11,13,4,12,14)(5,17,8,15,9,19,6,18,7,16,10,20)"
"3715891200.a"	"12CQ"	12	25804800	NULL	"6BT,4AL,12CQ,12CQ"	"(1,3,18)(2,4,17)(5,6)(7,16,19,12,14,10,8,15,20,11,13,9)"
"3715891200.a"	"12CR"	12	25804800	NULL	"6BT,4AK,12CR,12CR"	"(1,8,18,5,16,11,2,7,17,6,15,12)(3,14,10,4,13,9)"
"3715891200.a"	"12CS"	12	25804800	NULL	"6BT,4R,12CS,12CS"	"(1,6,11,16,7,14,2,5,12,15,8,13)(3,20,18)(4,19,17)"
"3715891200.a"	"12CT"	12	38707200	NULL	"6BK,4BO,12CT,12CT"	"(1,20,4,13,17,9)(2,19,3,14,18,10)(5,16,7,12)(6,15,8,11)"
"3715891200.a"	"12CU"	12	38707200	NULL	"6BL,4BR,12CU,12CU"	"(1,3,18,9,19,5,2,4,17,10,20,6)(7,12,15,13)(8,11,16,14)"
"3715891200.a"	"14A"	14	5529600	NULL	"7A,14A,14A,2I"	"(3,16,19,11,9,17,6,4,15,20,12,10,18,5)"
"3715891200.a"	"14B"	14	5529600	NULL	"7A,14B,14B,2A"	"(1,19,18,10,16,3,6,2,20,17,9,15,4,5)(7,8)(11,12)(13,14)"
"3715891200.a"	"14C"	14	5529600	NULL	"7A,14C,14C,2H"	"(1,2)(3,6,13,8,18,9,16)(4,5,14,7,17,10,15)(11,12)(19,20)"
"3715891200.a"	"14D"	14	16588800	NULL	"7A,14D,14D,2D"	"(1,2)(3,5,8,12,9,15,19)(4,6,7,11,10,16,20)(13,14)"
"3715891200.a"	"14E"	14	16588800	NULL	"7A,14E,14E,2C"	"(1,2)(3,5,12,16,8,13,20,4,6,11,15,7,14,19)(17,18)"
"3715891200.a"	"14F"	14	16588800	NULL	"7A,14F,14F,2E"	"(1,7,5,11,18,4,15,2,8,6,12,17,3,16)(9,10)"
"3715891200.a"	"14G"	14	16588800	NULL	"7A,14G,14G,2B"	"(1,9,20,18,4,14,12)(2,10,19,17,3,13,11)(15,16)"
"3715891200.a"	"14H"	14	33177600	NULL	"7A,14H,14H,2F"	"(1,17)(2,18)(3,15,19,9,5,11,13)(4,16,20,10,6,12,14)"
"3715891200.a"	"14I"	14	33177600	NULL	"7A,14I,14I,2N"	"(1,3,12,18,6,7,10,2,4,11,17,5,8,9)(15,19)(16,20)"
"3715891200.a"	"14J"	14	33177600	NULL	"7A,14J,14J,2G"	"(1,13,12,20,16,6,7,2,14,11,19,15,5,8)(3,18)(4,17)(9,10)"
"3715891200.a"	"14K"	14	33177600	NULL	"7A,14K,14K,2M"	"(1,2)(3,7)(4,8)(5,12,13,19,9,17,16)(6,11,14,20,10,18,15)"
"3715891200.a"	"15A"	15	7741440	NULL	"15A,5A,3A,15A"	"(1,20,18,10,8)(2,19,17,9,7)(3,13,5)(4,14,6)"
"3715891200.a"	"16A"	16	29030400	NULL	"8X,16A,16A,16A"	"(1,2)(3,17,11,13,10,5,20,16,4,18,12,14,9,6,19,15)(7,8)"
"3715891200.a"	"16B"	16	29030400	NULL	"8X,16B,16B,16B"	"(3,19,18,13,11,8,10,16,4,20,17,14,12,7,9,15)"
"3715891200.a"	"16C"	16	58060800	NULL	"8X,16C,16C,16C"	"(1,10,15,6,20,8,13,12,2,9,16,5,19,7,14,11)(3,4)"
"3715891200.a"	"16D"	16	58060800	NULL	"8Y,16D,16D,16D"	"(1,6,2,5)(3,8,12,20,14,10,16,18,4,7,11,19,13,9,15,17)"
"3715891200.a"	"16E"	16	58060800	NULL	"8X,16E,16E,16E"	"(1,4,19,7,6,10,12,14,2,3,20,8,5,9,11,13)(15,18)(16,17)"
"3715891200.a"	"18A"	18	103219200	NULL	"9A,6BC,18A,18A"	"(3,9,15,8,13,19,6,17,12,4,10,16,7,14,20,5,18,11)"
"3715891200.a"	"18B"	18	103219200	NULL	"9A,6BD,18B,18B"	"(1,12,7,20,9,15,4,18,13)(2,11,8,19,10,16,3,17,14)(5,6)"
"3715891200.a"	"18C"	18	103219200	NULL	"9A,6BE,18C,18C"	"(1,5,15,10,4,7,18,11,13,2,6,16,9,3,8,17,12,14)(19,20)"
"3715891200.a"	"20A"	20	1935360	NULL	"10H,20A,4I,20A"	"(1,18,2,17)(5,7,15,10,19,6,8,16,9,20)"
"3715891200.a"	"20B"	20	1935360	NULL	"10H,20B,4J,20B"	"(1,2)(3,7,6,13,10)(4,8,5,14,9)(11,15,12,16)(17,18)(19,20)"
"3715891200.a"	"20C"	20	1935360	NULL	"10H,20C,4B,20C"	"(1,17,12,13,6,2,18,11,14,5)(3,4)(7,8)(9,20,10,19)(15,16)"
"3715891200.a"	"20D"	20	1935360	NULL	"10H,20D,4A,20D"	"(7,15,8,16)(9,11,18,19,14)(10,12,17,20,13)"
"3715891200.a"	"20E"	20	5806080	NULL	"10E,20E,4Q,20E"	"(1,12,2,11)(3,20,15,18,7)(4,19,16,17,8)(5,10,6,9)(13,14)"
"3715891200.a"	"20F"	20	5806080	NULL	"10E,20F,4E,20F"	"(1,12,20,9,6)(2,11,19,10,5)(7,15,8,16)(13,17,14,18)"
"3715891200.a"	"20G"	20	5806080	NULL	"10E,20G,4H,20G"	"(1,10,13,7,17,2,9,14,8,18)(3,4)(5,19,6,20)(11,15,12,16)"
"3715891200.a"	"20H"	20	5806080	NULL	"10H,20H,4C,20H"	"(1,4,2,3)(5,15,20,8,12)(6,16,19,7,11)(9,10)"
"3715891200.a"	"20I"	20	5806080	NULL	"10H,20I,4G,20I"	"(1,8,3,5,16,2,7,4,6,15)(9,10)(11,14,12,13)"
"3715891200.a"	"20J"	20	5806080	NULL	"10E,20J,4P,20J"	"(1,3,16,8,20,2,4,15,7,19)(5,11,6,12)(13,17,14,18)"
"3715891200.a"	"20K"	20	5806080	NULL	"10H,20K,4F,20K"	"(3,13,20,7,16)(4,14,19,8,15)(5,6)(9,12,10,11)(17,18)"
"3715891200.a"	"20L"	20	5806080	NULL	"10H,20L,4D,20L"	"(3,5,4,6)(7,14,12,17,20,8,13,11,18,19)(9,10)(15,16)"
"3715891200.a"	"20M"	20	11612160	NULL	"10H,20M,4U,20M"	"(1,3,2,4)(5,6)(7,11,14,16,18)(8,12,13,15,17)(9,20)(10,19)"
"3715891200.a"	"20N"	20	11612160	NULL	"10H,20N,4L,20N"	"(1,10)(2,9)(3,7,4,8)(5,19,14,15,11,6,20,13,16,12)(17,18)"
"3715891200.a"	"20O"	20	11612160	NULL	"10H,20O,4V,20O"	"(1,13)(2,14)(3,19,17,5,11,4,20,18,6,12)(9,16,10,15)"
"3715891200.a"	"20P"	20	11612160	NULL	"10H,20P,4K,20P"	"(1,18,2,17)(3,19)(4,20)(5,14,16,10,8)(6,13,15,9,7)"
"3715891200.a"	"20Q"	20	23224320	NULL	"10P,20Q,4Z,20Q"	"(1,3,17,12)(2,4,18,11)(5,20,16,7,13)(6,19,15,8,14)(9,10)"
"3715891200.a"	"20R"	20	23224320	NULL	"10P,20R,4N,20R"	"(1,19,17,6,12)(2,20,18,5,11)(3,16,9,7)(4,15,10,8)"
"3715891200.a"	"20S"	20	23224320	NULL	"10P,20S,4AA,20S"	"(1,18,19,7,10,2,17,20,8,9)(3,16,12,5)(4,15,11,6)"
"3715891200.a"	"20T"	20	23224320	NULL	"10P,20T,4O,20T"	"(1,3,9,18)(2,4,10,17)(5,16,12,13,20,6,15,11,14,19)(7,8)"
"3715891200.a"	"20U"	20	185794560	NULL	"10X,20U,4T,20U"	"(1,9,5,4,11,19,16,17,8,14,2,10,6,3,12,20,15,18,7,13)"
"3715891200.a"	"21A"	21	44236800	NULL	"21A,7A,21A,3A"	"(1,7,13)(2,8,14)(3,12,6,19,18,15,9)(4,11,5,20,17,16,10)"
"3715891200.a"	"24A"	24	1612800	NULL	"12P,8A,24A,24A"	"(5,7,15)(6,8,16)(9,11,17,19,10,12,18,20)"
"3715891200.a"	"24B"	24	1612800	NULL	"12P,8G,24B,24B"	"(5,7,15,6,8,16)(9,11,17,19,10,12,18,20)"
"3715891200.a"	"24C"	24	1612800	NULL	"12P,8G,24C,24C"	"(1,2)(3,4)(5,7,15)(6,8,16)(9,11,17,19,10,12,18,20)(13,14)"
"3715891200.a"	"24D"	24	1612800	NULL	"12P,8B,24D,24D"	"(1,2)(3,4)(5,7,15,6,8,16)(9,11,17,19,10,12,18,20)(13,14)"
"3715891200.a"	"24E"	24	4838400	NULL	"12P,8E,24E,24E"	"(1,9,8,4,2,10,7,3)(5,11,15,6,12,16)(17,18)"
"3715891200.a"	"24F"	24	4838400	NULL	"12P,8C,24F,24F"	"(1,16,8,20,2,15,7,19)(5,18,14)(6,17,13)(9,10)"
"3715891200.a"	"24G"	24	4838400	NULL	"12P,8F,24G,24G"	"(1,13,17)(2,14,18)(3,4)(5,19,7,15,6,20,8,16)(9,10)"
"3715891200.a"	"24H"	24	4838400	NULL	"12P,8D,24H,24H"	"(1,19,3,15,2,20,4,16)(7,18,12,8,17,11)(9,10)(13,14)"
"3715891200.a"	"24I"	24	6451200	NULL	"12AM,8B,24I,24I"	"(1,3,18,15,2,4,17,16)(5,10,12,6,9,11)(7,13,19,8,14,20)"
"3715891200.a"	"24J"	24	6451200	NULL	"12AM,8A,24J,24J"	"(1,10,12)(2,9,11)(3,8,15,20,4,7,16,19)(5,13,18)(6,14,17)"
"3715891200.a"	"24K"	24	9676800	NULL	"12P,8M,24K,24K"	"(1,11,5,19,2,12,6,20)(3,18,16)(4,17,15)(7,8)(9,13)(10,14)"
"3715891200.a"	"24L"	24	9676800	NULL	"12AD,8N,24L,24L"	"(3,17,20,4,18,19)(5,14,6,13)(7,10,15,12,8,9,16,11)"
"3715891200.a"	"24M"	24	9676800	NULL	"12P,8H,24M,24M"	"(3,5,13,10,4,6,14,9)(7,11)(8,12)(15,17,20)(16,18,19)"
"3715891200.a"	"24N"	24	9676800	NULL	"12AD,8I,24N,24N"	"(1,11,5)(2,12,6)(3,16,18,7,4,15,17,8)(9,20,10,19)"
"3715891200.a"	"24O"	24	9676800	NULL	"12P,8J,24O,24O"	"(1,15)(2,16)(3,17,20,14,4,18,19,13)(5,7,10,6,8,9)(11,12)"
"3715891200.a"	"24P"	24	9676800	NULL	"12AD,8K,24P,24P"	"(1,8,11,14,2,7,12,13)(3,15,18,4,16,17)(5,20,6,19)(9,10)"
"3715891200.a"	"24Q"	24	9676800	NULL	"12P,8O,24Q,24Q"	"(1,9,8,4,2,10,7,3)(5,11)(6,12)(13,19,15,14,20,16)"
"3715891200.a"	"24R"	24	9676800	NULL	"12AD,8Q,24R,24R"	"(1,20,11,6,2,19,12,5)(3,18,4,17)(7,8)(9,15,14)(10,16,13)"
"3715891200.a"	"24S"	24	12902400	NULL	"12AM,8G,24S,24S"	"(1,19,16)(2,20,15)(3,14,9,4,13,10)(5,17,7,11,6,18,8,12)"
"3715891200.a"	"24T"	24	38707200	NULL	"12AM,8L,24T,24T"	"(1,4,17,5,15,9)(2,3,18,6,16,10)(7,12,20,14,8,11,19,13)"
"3715891200.a"	"24U"	24	38707200	NULL	"12AN,8P,24U,24U"	"(1,13,18,15,8,4,2,14,17,16,7,3)(5,12,10,20,6,11,9,19)"
"3715891200.a"	"28A"	28	33177600	NULL	"14D,28A,28A,4B"	"(1,14,2,13)(3,10,5,16,8,20,12,4,9,6,15,7,19,11)(17,18)"
"3715891200.a"	"28B"	28	33177600	NULL	"14D,28B,28B,4D"	"(1,16,13,20,17,8,10,2,15,14,19,18,7,9)(5,12,6,11)"
"3715891200.a"	"28C"	28	33177600	NULL	"14D,28C,28C,4A"	"(1,17,2,18)(3,19,16,14,8,5,12)(4,20,15,13,7,6,11)"
"3715891200.a"	"28D"	28	33177600	NULL	"14D,28D,28D,4C"	"(1,9,8,18,11,19,6)(2,10,7,17,12,20,5)(3,16,4,15)(13,14)"
"3715891200.a"	"30A"	30	7741440	NULL	"15A,10H,6H,30A"	"(1,2)(3,12,13)(4,11,14)(5,19,9,15,8)(6,20,10,16,7)(17,18)"
"3715891200.a"	"30B"	30	7741440	NULL	"15A,10A,6B,30B"	"(1,12,17,10,15,2,11,18,9,16)(3,8,6,4,7,5)(13,14)(19,20)"
"3715891200.a"	"30C"	30	7741440	NULL	"15A,10I,6C,30C"	"(1,3,18,13,10)(2,4,17,14,9)(7,19,12,8,20,11)"
"3715891200.a"	"30D"	30	7741440	NULL	"15A,10J,6I,30D"	"(1,4,16,5,17,2,3,15,6,18)(7,12,9,8,11,10)"
"3715891200.a"	"30E"	30	7741440	NULL	"15A,10K,6A,30E"	"(1,3,7)(2,4,8)(5,18,12,13,19,6,17,11,14,20)(9,10)(15,16)"
"3715891200.a"	"30F"	30	7741440	NULL	"15A,10B,6J,30F"	"(1,16,9)(2,15,10)(3,6,20,7,18,4,5,19,8,17)"
"3715891200.a"	"30G"	30	7741440	NULL	"15A,10C,6K,30G"	"(1,5,17,2,6,18)(3,8,12,13,20)(4,7,11,14,19)(9,10)(15,16)"
"3715891200.a"	"30H"	30	15482880	NULL	"15A,10D,6E,30H"	"(1,10,20,8,18)(2,9,19,7,17)(3,5,13)(4,6,14)(11,12)"
"3715891200.a"	"30I"	30	15482880	NULL	"15A,10L,6P,30I"	"(1,9,20,2,10,19)(3,15,18,12,14)(4,16,17,11,13)(5,8)(6,7)"
"3715891200.a"	"30J"	30	15482880	NULL	"15A,10F,6D,30J"	"(1,2)(3,14,5,15,11,4,13,6,16,12)(7,10,19)(8,9,20)"
"3715891200.a"	"30K"	30	15482880	NULL	"15A,10M,6Q,30K"	"(1,19,15)(2,20,16)(3,8,5,17,14,4,7,6,18,13)(9,12)(10,11)"
"3715891200.a"	"30L"	30	15482880	NULL	"15A,10E,6F,30L"	"(1,3,17,2,4,18)(5,6)(9,14,15,12,19)(10,13,16,11,20)"
"3715891200.a"	"30M"	30	15482880	NULL	"15A,10G,6G,30M"	"(1,9,20,7,13,2,10,19,8,14)(3,17,16,4,18,15)(11,12)"
"3715891200.a"	"30N"	30	15482880	NULL	"15A,10N,6R,30N"	"(1,18,12,20,10)(2,17,11,19,9)(3,14)(4,13)(5,15,8)(6,16,7)"
"3715891200.a"	"30O"	30	15482880	NULL	"15A,10O,6S,30O"	"(1,13,17,5,12,2,14,18,6,11)(3,8)(4,7)(9,15,20,10,16,19)"
"3715891200.a"	"40A"	40	23224320	NULL	"20F,40A,8C,40A"	"(1,9,12,6,20)(2,10,11,5,19)(3,4)(7,14,15,18,8,13,16,17)"
"3715891200.a"	"40B"	40	23224320	NULL	"20F,40B,8B,40B"	"(1,13,6,15,4,2,14,5,16,3)(7,12,19,9,8,11,20,10)(17,18)"
"3715891200.a"	"40C"	40	23224320	NULL	"20F,40C,8D,40C"	"(1,14,8,9,5,2,13,7,10,6)(3,17,15,12,4,18,16,11)"
"3715891200.a"	"40D"	40	23224320	NULL	"20F,40D,8A,40D"	"(1,17,3,16,5)(2,18,4,15,6)(9,12,19,13,10,11,20,14)"
"3715891200.a"	"42A"	42	44236800	NULL	"21A,14A,42A,6A"	"(1,13,7)(2,14,8)(3,17,12,16,6,10,19,4,18,11,15,5,9,20)"
"3715891200.a"	"42B"	42	44236800	NULL	"21A,14B,42B,6B"	"(1,3,9,19,6,15,18,2,4,10,20,5,16,17)(7,11,13,8,12,14)"
"3715891200.a"	"42C"	42	44236800	NULL	"21A,14C,42C,6C"	"(1,11,19,2,12,20)(3,9,8,6,16,18,13)(4,10,7,5,15,17,14)"
"3715891200.a"	"60A"	60	15482880	NULL	"30A,20A,12A,60A"	"(1,17,2,18)(3,13,12)(4,14,11)(5,16,19,7,9,6,15,20,8,10)"
"3715891200.a"	"60B"	60	15482880	NULL	"30A,20B,12B,60B"	"(1,19,18,2,20,17)(3,6,10,7,13)(4,5,9,8,14)(11,16,12,15)"
"3715891200.a"	"60C"	60	15482880	NULL	"30A,20C,12C,60C"	"(1,11,6,17,14,2,12,5,18,13)(3,15,7,4,16,8)(9,19,10,20)"
"3715891200.a"	"60D"	60	15482880	NULL	"30A,20D,12D,60D"	"(1,3,6)(2,4,5)(7,16,8,15)(9,18,14,11,19)(10,17,13,12,20)"


# Group --
#    We describe abstract groups using standard building blocks:
#    <ul>
#     <li> $C_n$ denotes the cyclic group of order $n$.
#     <li> $S_n$ denotes the symmetric group on $n$ letters.
#     <li> $A_n$ denotes the alternating group on $n$ letters.
#     <li> $D_n$ denotes the dihedral group of order $2n$.
#     <li> $Q_n$ denotes the (generalized) quaternion group of order $n$.
#     <li> $F_q$ denotes the Frobenius group for a prime power $q$. It is the group of affine linear transformations of the finite field $\mathbb{F}_q$. In other words, $F_q$ is a semidirect product  $\mathbb{F}_q : \mathbb{F}_q^{\times}$.
#     <li> Sporadic Groups (refer to this <a href="https://en.wikipedia.org/wiki/Sporadic_group">wikipage</a>):
#    <ul>
#     <li> $M_n$ for $n=11,12, 22,23, 24$ denotes the Mathieu groups
#     <li> $\Ru$ denotes the Rudvalis group
#     <li> $\McL$ denotes the McLaughlin group
#     <li> $\He$ denotes the Held group
#     <li> $\HS$ denotes the Higman–Sims group
#     <li> $J_1$, $J_2$, $J_3$ denote the Janko groups
#     <li> $\Co_2$ and $\Co_3$ denote the Conway groups
#    </ul>
#     <li> Here is a list of finite groups of Lie type.
#     <li> $\SD_n$ denotes the semidihedral group or quasidihedral group of order $n=2^k$.
#     <li> $\OD_n$ denotes the other-dihedral group (or modular maximal-cyclic group) of order $n=2^k$. It is the non-trivial semidirect product $C_{2^{k-1}} : C_2$ which is not isomorphic to either $\SD_n$ or $D_{2^{k-1}}$.
#     <li> $\He_p$ denotes the Heisenberg group, the unique non-abelian group of order $p^3$ and exponent $p$ for an odd prime $p$.
#    </ul>

#    Groups $A$ and $B$ may be used to construct a larger group:

#    - $A\times B$ for the direct product of $A$ and $B$.
#    - $A:B$ for the semidirect product of $A$ and $B$ (with normal subgroup $A$).
#    - $A.B$ an extension with normal subgroup $A$ and quotient isomorphic to $B$.
#    - $A\wr B$ for the wreath product of $A$ and $B$.


# Label --
#    The **label** of a rational conjugacy class of a group $G$ has the format $NA$ where $N$ is the order of elements in the conjugacy class, $A$ is a sequence of capital letters.


#    The **label** of a complex conjugacy class of a group $G$ has the format $NAj$ where $NA$ is the label of the division containing it, (so $N$ is the order of elements in the conjugacy class), and $j$ is an enumeration of class within that rational conjugacy class ($j$ is omitted if there is a single class within rational conjugacy classes).


# Order --
#    All elements in a particular conjugacy class are of the same order in the group.


# Size --
#    The **size** of a conjugacy class of a finite group is the cardinality of the set of elements conjugate to each other.

#    By the Orbit-Stabilizer Theorem, the size of a conjugacy class divides the order of the group. Since conjugacy classes partition a group, the sum of the sizes of the conjugacy classes equals the size of the group.

#    A conjugacy class is of size $1$ if and only if the element is in the center of the group.




# Centralizer --
#    If $G$ is a group and $H$ is a subgroup of $G$, then the **centralizer** of $H$ in $G$ is
#    \[ C_G(H) = \{g\in G\mid gh=hg \text{ for all } h\in H\}.\]


# Powers --
#    If $G$ is a group, $g\in G$ is an element of a conjugacy class $P$, and $n$ is a positive integer, then $nP$ denotes the conjugacy class of the element $g^n$.


# Representative --
#    A representative of each conjugacy class is given in different formats depending on how the abstract group is stored in the database.

#    For *permutation groups* the representative is given as a permutation of degree given in the Construction section of this group's main page.

#    For *matrix groups* the representatives are given by matrices in the group described in the Construction section of this group's main page.

#    For solvable groups, the representatives are given as words in the generators from the presentation given in the Construction section of this group's main page.