From: A characterization of some alternating groups A p+8 of degree p + 8 by OD
G | p | m! | \(\pi (p+m)\) | \(h_{OD}\) | References |
---|---|---|---|---|---|
\(A_{125}\) | 113 | 12! | \(\{5\}\) | ≥6 | Mahmoufifar and Khosravi (2014) |
\(A_{147}\) | 139 | 8! | \(\{3,7\}\) | ≥7 | Moghaddamfar (2015) |
\(A_{189}\) | 181 | 8! | \(\{3,7\}\) | ≥14 | Moghaddamfar (2015) |
\(A_{539}\) | 523 | 16! | \(\{7,11\}\) | ≥3 | Moghaddamfar (2015) |
\(A_{625}\) | 619 | 6! | \(\{5\}\) | ≥16 | Moghaddamfar (2015) |
\(A_{875}\) | 863 | 12! | \(\{13,67\}\) | ≥6 | Moghaddamfar (2015) |
\(A_{1029}\) | 1019 | 10! | \(\{3,7\}\) | ≥20 | |
\(A_{1144}\) | 1129 | 15! | \(\{2,11,13\}\) | ≥40 | |
\(A_{1274}\) | 1159 | 15! | \(\{2,7,13\}\) | ≥11 | |
\(A_{1344}\) | 1319 | 25! | \(\{2,3,7\}\) | ≥11,721 | |
\(A_{1352}\) | 1319 | 33! | \(\{2,13\}\) | ≥53 |