Table 1 The values of p and h(q)
From: A characterization of some alternating groups A p+8 of degree p + 8 by OD
p | h(q) | Condition | p | h(q) | Condition |
|---|---|---|---|---|---|
113 | \(2^4.7\) | None | 139 | 2.3.23 | None |
181 | \(2^2.3^2.5\) | \(q\ne 19\) | 181 | 4 | \(q=19\) |
199 | \(2.3^2.11\) | None | 211 | 2.3.5.7 | None |
241 | \(2^4.3.5\) | None | 283 | 2.3.47 | None |
293 | \(2^2.73\) | None | 317 | \(2^2.79\) | \(q\ne 73\) |
317 | 4 | \(q=73\) | 337 | \(2^4.3.7\) | None |
409 | \(2^3.3.17\) | \(q\ne 31,53\) | 409 | 8 | \(q=31\) |
409 | 3 | \(q=53\) | 421 | \(2^2.3.5.7\) | \(q\ne 29\) |
421 | 4 | \(q=29\) | 467 | 2.233 | None |
509 | \(2^2.127\) | none | 523 | \(2.3^2.29\) | \(q\ne 11,19,61\) |
523 | 29 | \(q=11\) | 523 | 9 | \(q=19\) |
523 | 6 | \(q=61\) | 547 | 2.3.7.13 | \(q\ne 11,13,41\) |
547 | 39 | \(q=11\) | 547 | 21 | \(q=13\) |
547 | 6 | \(q=41\) | 577 | \(2^6.3^2\) | \(q\ne 23\) |
577 | 8 | \(q=23\) | 619 | 2.3.103 | None |
631 | \(2.3^2.5.7\) | \(q\ne 43\) | 631 | 3 | \(q=43\) |
661 | \(2^3.3.5.11\) | \(q\ne 11\) | 661 | 33 | \(q=11\) |
691 | 2.3.5.23 | \(q\ne 89\) | 691 | 5 | \(q=89\) |
709 | \(2^2.3.59\) | \(q\ne 227\) | 709 | 3 | \(q=227\) |
787 | 2.3.131 | None | 797 | \(2^2.199\) | None |
811 | \(2.3^4.5\) | \(q\ne 131\) | 811 | 6 | \(q=131\) |
829 | \(2^2.3^2.23\) | \(q\ne 11\) | 829 | 23 | \(q=11\) |
839 | 2.419 | None | 863 | 2.431 | None |
887 | 2.443 | None | 919 | \(2.3^3.17\) | \(q\ne 53\) |
919 | 6 | \(q=53\) | 953 | \(2^3.7.17\) | None |
997 | \(2^2.3.83\) | None |