{ "HM": "P312","created": "Tue Apr 09 11:04:39 CDT 2024","nSettings": 46,"nSubgroups": 9,"sg": 149,"subgroups": [ { "det": 2.0,"i": 1,"subgroup": 5,"subgroupHM": "C2","subgroupIndex": 3,"trSubtype": "","trType": "t","trm": [ "a:-a-b,a-b,c","a:a,a+2b,c","a:b,-2a-b,c" ] },{ "det": 1.0,"i": 2,"subgroup": 143,"subgroupHM": "P3","subgroupIndex": 2,"trSubtype": "","trType": "t","trm": [ "a:a,b,c" ] },{ "det": 2.0,"i": 3,"subgroup": 149,"subgroupHM": "P312","subgroupIndex": 2,"trSubtype": "eu","trType": "k","trm": [ "a:a,b,2c;0,0,1/2","b:a,b,2c" ] },{ "det": 3.0,"i": 4,"subgroup": 149,"subgroupHM": "P312","subgroupIndex": 3,"trSubtype": "eu","trType": "k","trm": [ "a:a,b,3c","a:a,b,3c;0,0,1","a:a,b,3c;0,0,2" ] },{ "det": 4.0,"i": 5,"subgroup": 149,"subgroupHM": "P312","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": 6,"subgroup": 150,"subgroupHM": "P321","subgroupIndex": 3,"trSubtype": "eu","trType": "k","trm": [ "a:a-b,a+2b,c;1/3,2/3,0","a:a-b,a+2b,c;4/3,2/3,0","a:a-b,a+2b,c;7/3,2/3,0","b:a-b,a+2b,c;2/3,1/3,0","b:a-b,a+2b,c;2/3,4/3,0","b:a-b,a+2b,c;2/3,7/3,0","c:a-b,a+2b,c","c:a-b,a+2b,c;1,0,0","c:a-b,a+2b,c;1,1,0" ] },{ "det": 3.0,"i": 7,"subgroup": 151,"subgroupHM": "P3112","subgroupIndex": 3,"trSubtype": "eu","trType": "k","trm": [ "a:a,b,3c","a:a,b,3c;0,0,1","a:a,b,3c;0,0,2" ] },{ "det": 3.0,"i": 8,"subgroup": 153,"subgroupHM": "P3212","subgroupIndex": 3,"trSubtype": "eu","trType": "k","trm": [ "a:a,b,3c","a:a,b,3c;0,0,1","a:a,b,3c;0,0,2" ] },{ "det": 9.0,"i": 9,"subgroup": 155,"subgroupHM": "R32","subgroupIndex": 3,"trSubtype": "eu","trType": "k","trm": [ "a:2a+b,-a+b,3c;1/3,2/3,0","a:2a+b,-a+b,3c;1/3,2/3,1","a:2a+b,-a+b,3c;1/3,2/3,2","b:2a+b,-a+b,3c;2/3,1/3,0","b:2a+b,-a+b,3c;2/3,1/3,1","b:2a+b,-a+b,3c;2/3,1/3,2","c:2a+b,-a+b,3c","c:2a+b,-a+b,3c;0,0,1","c:2a+b,-a+b,3c;0,0,2","d:a-b,a+2b,3c;1/3,2/3,0","d:a-b,a+2b,3c;1/3,2/3,1","d:a-b,a+2b,3c;1/3,2/3,2","e:a-b,a+2b,3c;2/3,1/3,0","e:a-b,a+2b,3c;2/3,1/3,1","e:a-b,a+2b,3c;2/3,1/3,2","f:a-b,a+2b,3c","f:a-b,a+2b,3c;0,0,1","f:a-b,a+2b,3c;0,0,2" ] } ] }