Skip to main content

Advertisement

Table 2 Non OD-characterizability of alternating groups

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