| 1 | C3×C7×D325 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C7×#13049908 | — | 3 | 1 | no | maximal, Hall |
| 3 | C3×C7×C13×C25 | C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 4 | C7×C3⋊#63122 | — | 5 | 1 | no | maximal |
| 5 | C7×D325 | D3 | 1 | 1 | yes | characteristic |
| 6 | C3⋊#13049908 | C7 | 1 | 1 | yes | maximal, characteristic, direct product factor, Hall |
| 7 | C3×C7×D65 | — | 5 | 1 | no | — |
| 8 | C7×C13×C25 | Dic3 | 1 | 1 | yes | characteristic, complemented, Hall |
| 9 | C7×C3⋊#1035 | — | 13 | 1 | no | maximal, Hall |
| 10 | C3×D325 | C2×C7 | 1 | 1 | yes | characteristic |
| 11 | C7×#63122 | — | 15 | 1 | no | — |
| 12 | C3×C5×C7×C13 | AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 13 | #13049908 | — | 3 | 1 | no | Hall |
| 14 | C7×C3⋊#261 | — | 25 | 1 | no | Hall |
| 15 | C3×C7×D25 | — | 13 | 1 | no | — |
| 16 | C3×C13×C25 | C4×C7 | 1 | 1 | yes | characteristic, complemented, Hall |
| 17 | C7×D65 | — | 5 | 1 | no | — |
| 18 | C3⋊#63122 | — | 5 | 1 | no | — |
| 19 | C7×#1035 | — | 39 | 1 | no | Hall |
| 20 | D325 | D3×C7 | 1 | 1 | yes | characteristic |
| 21 | C3×C7×D13 | — | 25 | 1 | no | — |
| 22 | C3×C7×C25 | #261 | 1 | 1 | yes | characteristic, complemented, Hall |
| 23 | C5×C7×C13 | ΓL(1,𝔽16) | 1 | 1 | yes | characteristic |
| 24 | C7×ΓL(1,𝔽16) | — | 65 | 1 | no | — |
| 25 | C3×D65 | — | 5 | 1 | no | — |
| 26 | C7×#261 | — | 75 | 1 | no | Hall |
| 27 | C7×D25 | — | 13 | 1 | no | — |
| 28 | C13×C25 | C7×Dic3 | 1 | 1 | yes | characteristic, complemented, Hall |
| 29 | C3⋊#1035 | — | 13 | 1 | no | Hall |
| 30 | C3×C7×C13 | #1035 | 1 | 1 | yes | characteristic, complemented, Hall |
| 31 | #63122 | — | 15 | 1 | no | — |
| 32 | C3×C7×D5 | — | 65 | 1 | no | — |
| 33 | C3×C5×C13 | C7×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 34 | C7×D13 | — | 25 | 1 | no | — |
| 35 | C7×C25 | C3⋊#261 | 1 | 1 | yes | characteristic, complemented, Hall |
| 36 | C3⋊#261 | — | 25 | 1 | no | Hall |
| 37 | C3×D25 | — | 13 | 1 | no | — |
| 38 | C7×AGL(1,𝔽5) | — | 195 | 1 | no | — |
| 39 | D65 | — | 5 | 1 | no | — |
| 40 | C3×C5×C7 | #63122 | 1 | 1 | yes | characteristic |
| 41 | #1035 | — | 39 | 1 | no | Hall |
| 42 | C7×C13 | C3⋊#1035 | 1 | 1 | yes | characteristic, complemented, Hall |
| 43 | C7×Dic3 | — | 325 | 1 | no | Hall |
| 44 | C3×D13 | — | 25 | 1 | no | — |
| 45 | C3×C25 | C7×#261 | 1 | 1 | yes | characteristic, complemented, Hall |
| 46 | C7×D5 | — | 65 | 1 | no | — |
| 47 | C5×C13 | C7×ΓL(1,𝔽16) | 1 | 1 | yes | characteristic |
| 48 | ΓL(1,𝔽16) | — | 65 | 1 | no | — |
| 49 | #261 | — | 75 | 1 | no | Hall |
| 50 | D25 | — | 13 | 1 | no | — |
| 51 | C2×C3×C7 | — | 325 | 1 | no | — |
| 52 | C3×C13 | C7×#1035 | 1 | 1 | yes | characteristic, complemented, Hall |
| 53 | C5×C7 | C3⋊#63122 | 1 | 1 | yes | characteristic |
| 54 | C3×D5 | — | 65 | 1 | no | — |
| 55 | C4×C7 | — | 975 | 1 | no | Hall |
| 56 | D13 | — | 25 | 1 | no | — |
| 57 | C25 | C7×C3⋊#261 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 58 | C3×C7 | #13049908 | 1 | 1 | yes | characteristic, complemented, Hall |
| 59 | AGL(1,𝔽5) | — | 195 | 1 | no | — |
| 60 | C3×C5 | C7×#63122 | 1 | 1 | yes | characteristic |
| 61 | C2×C7 | — | 325 | 1 | no | — |
| 62 | C13 | C7×C3⋊#1035 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 63 | Dic3 | — | 325 | 1 | no | Hall |
| 64 | D5 | — | 65 | 1 | no | — |
| 65 | C7 | C3⋊#13049908 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 66 | C2×C3 | — | 325 | 1 | no | — |
| 67 | C5 | C7×C3⋊#63122 | 1 | 1 | yes | characteristic |
| 68 | C4 | — | 975 | 1 | no | Sylow |
| 69 | C3 | C7×#13049908 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 70 | C2 | — | 325 | 1 | no | — |
Finite Group Databasebeta