Specification: Subgroups of Pc Groups (OSCAR v1.1-v1.3)

Profiles: OSCAR v1.1, OSCAR v1.2, OSCAR v1.3 Other versions: Subgroups of Pc Groups (OSCAR v1.4-v1.8)

In OSCAR v1.1 through v1.3, SubPcGroup uses the bare type name "SubPcGroup" and stores its parent-group context through _refs.

Encoding Notes

• Use _type: "SubPcGroup".
• Store subgroup data under data.
• Refer to the parent group through _refs.

Canonical Example Payload

The following payload is taken directly from the current rosetta-stone corpus.

{
  "_ns": {"Oscar": ["https://github.com/oscar-system/Oscar.jl", "1.3.1"]},
  "_type": "SubPcGroup",
  "data": {"X": "239d6db7-63f5-4d35-9caa-5fd000e54c38"},
  "id": "73cedc51-734e-465d-b845-30a376e784a4",
  "_refs": {
    "239d6db7-63f5-4d35-9caa-5fd000e54c38": {
      "_type": "GapObj",
      "data": {
        "GapType": "IsPcGroup",
        "fullGroup": "7b27c6a4-6654-4785-ac05-6eb980125f2c",
        "gens": [["1", "0", "0", "0"], ["0", "0", "1", "0"], ["0", "0", "0", "1"]]
      }
    },
    "7b27c6a4-6654-4785-ac05-6eb980125f2c": {
      "_type": "GapObj",
      "data": {
        "GapType": "IsPcGroup",
        "relord": ["2", "3", "2", "2"],
        "power_rels": [],
        "comm_rels": [
          ["2", "1", ["2", "1"]],
          ["3", "1", ["3", "1", "4", "1"]],
          ["4", "1", ["3", "1", "4", "1"]],
          ["3", "2", ["3", "1", "4", "1"]],
          ["4", "2", ["3", "1"]]
        ]
      }
    }
  }
}

Documented Profiles in This Corpus

This table records the profile/version pairs currently represented by the rosetta-stone examples for this data type. Add new rows as new systems or encoding revisions are documented.

Rosetta Stone Examples

• Subgroup of pc group