{ "HM": "P3","created": "Tue Apr 09 11:04:37 CDT 2024","nSettings": 18,"nSubgroups": 7,"sg": 143,"subgroups": [ { "det": 1.0,"i": 1,"subgroup": 1,"subgroupHM": "P1","subgroupIndex": 3,"trSubtype": "","trType": "t","trm": [ "a:a,b,c" ] },{ "det": 2.0,"i": 2,"subgroup": 143,"subgroupHM": "P3","subgroupIndex": 2,"trSubtype": "eu","trType": "k","trm": [ "a:a,b,2c" ] },{ "det": 3.0,"i": 3,"subgroup": 143,"subgroupHM": "P3","subgroupIndex": 3,"trSubtype": "eu","trType": "k","trm": [ "a:a-b,a+2b,c;1/3,2/3,0","b:a-b,a+2b,c;2/3,1/3,0","c:a-b,a+2b,c","d:a,b,3c" ] },{ "det": 4.0,"i": 4,"subgroup": 143,"subgroupHM": "P3","subgroupIndex": 4,"trSubtype": "eu","trType": "k","trm": [ "a:2a,2b,c","a:2a,2b,c;1,0,0","a:2a,2b,c;0,1,0","a:2a,2b,c;1,1,0" ] },{ "det": 3.0,"i": 5,"subgroup": 144,"subgroupHM": "P31","subgroupIndex": 3,"trSubtype": "eu","trType": "k","trm": [ "a:a,b,3c" ] },{ "det": 3.0,"i": 6,"subgroup": 145,"subgroupHM": "P32","subgroupIndex": 3,"trSubtype": "eu","trType": "k","trm": [ "a:a,b,3c" ] },{ "det": 9.0,"i": 7,"subgroup": 146,"subgroupHM": "R3","subgroupIndex": 3,"trSubtype": "eu","trType": "k","trm": [ "a:2a+b,-a+b,3c;1/3,2/3,0","b:2a+b,-a+b,3c;2/3,1/3,0","c:2a+b,-a+b,3c","d:a-b,a+2b,3c;1/3,2/3,0","e:a-b,a+2b,3c;2/3,1/3,0","f:a-b,a+2b,3c" ] } ] }