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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