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We show that this group is isomorphic to a semi-direct product $(\\mathbb{Z}/18\\mathbb{Z}\\times\\mathbb{Z}/6\\mathbb{Z})\\rtimes S_3$ with respect to conjugation and we give a presentation of the group. We show that the group $D(18,1,1;2,1,1)$ from the series $(D)$ in the existing classification for finite SU(3)-subgroups is also isomorphic to a semi-direct product $(\\mathbb{Z}/18\\mathbb{Z}\\times\\mathbb{Z}/6\\mathbb{Z})\\rtimes S_3$, also with respect"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1309.3580","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-09-13T20:55:59Z","cross_cats_sorted":["math.GR","math.RT"],"title_canon_sha256":"9f9b20147045422f0ab0dac67c57bde52aa91134f0ac01c1552f6c3f360ba964","abstract_canon_sha256":"894d9d51a141d7a7f56ef2212597c8b4791baedd828ce1363bbb4252584ea6d1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:47:41.852771Z","signature_b64":"pwcO95FOMvGyHIsE6xMBzYIgDulBuCU08hRyBtWKKNWiIZhdg8BehKj/PLcNFVkbAi70j1cQXMbQTEpHmFDgDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2874306c0bccf4c4ea21149bf297a6b882c9aa720609e68db8dd0d55625cc678","last_reissued_at":"2026-05-18T01:47:41.852278Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:47:41.852278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Freedman group: a physical interpretation for the SU(3)-subgroup D(18,1,1;2,1,1) of order 648","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR","math.RT"],"primary_cat":"math.QA","authors_text":"Claire I. 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