| 1 | C17⋊#64418 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C17×#64418 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C17⋊#64425 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | D7×D119 | — | 3 | 1 | no | maximal, Hall |
| 5 | C17×#3862 | C22 | 1 | 1 | yes | characteristic, complemented, Hall |
| 6 | C7⋊D119 | D3 | 1 | 1 | yes | characteristic, complemented |
| 7 | C7×D119 | — | 3 | 1 | no | — |
| 8 | C7×D7×C17 | — | 3 | 1 | no | — |
| 9 | C72×C17 | C2×D3 | 1 | 1 | yes | characteristic, complemented, Hall |
| 10 | C17⋊AGL(1,𝔽7) | — | 14 | 1 | no | — |
| 11 | #64418⋊C2 | — | 17 | 1 | no | maximal, Hall |
| 12 | C2×D119 | — | 21 | 1 | no | — |
| 13 | D7×D17 | — | 21 | 1 | no | — |
| 14 | C17×ΓL(1,𝔽8) | — | 14 | 1 | no | — |
| 15 | #64425 | — | 17 | 1 | no | — |
| 16 | #64418 | — | 17 | 1 | no | — |
| 17 | #64418 | D17 | 1 | 1 | yes | characteristic, complemented |
| 18 | C2×C7×C17 | — | 21 | 1 | no | — |
| 19 | D119 | — | 3 | 1 | no | — |
| 20 | D119 | — | 14 | 1 | no | — |
| 21 | D119 | — | 21 | 1 | no | — |
| 22 | D119 | — | 21 | 1 | no | — |
| 23 | C7×D17 | — | 21 | 1 | no | — |
| 24 | D7×C17 | — | 3 | 1 | no | — |
| 25 | D3×D17 | — | 49 | 1 | no | maximal, Hall |
| 26 | D72 | — | 51 | 1 | no | Hall |
| 27 | #3862 | C2×D17 | 1 | 1 | yes | characteristic, complemented, Hall |
| 28 | C7×C17 | — | 2 | 1 | no | — |
| 29 | C7×C17 | — | 3 | 1 | no | — |
| 30 | C7×C17 | — | 3 | 1 | no | — |
| 31 | D51 | — | 49 | 1 | no | — |
| 32 | C3×D17 | — | 49 | 1 | no | — |
| 33 | D3×C17 | — | 49 | 1 | no | — |
| 34 | C7⋊D7 | — | 17 | 1 | no | — |
| 35 | C7×D7 | — | 3 | 1 | no | — |
| 36 | C7×D7 | — | 51 | 1 | no | — |
| 37 | C2×D17 | — | 147 | 1 | no | Hall |
| 38 | C3×C17 | — | 49 | 1 | no | Hall |
| 39 | C72 | D3×D17 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 40 | AGL(1,𝔽7) | — | 238 | 1 | no | — |
| 41 | C2×C17 | — | 21 | 1 | no | — |
| 42 | D17 | — | 21 | 1 | no | — |
| 43 | D17 | — | 49 | 1 | no | — |
| 44 | C2×D7 | — | 357 | 1 | no | — |
| 45 | C2×D7 | — | 357 | 1 | no | — |
| 46 | ΓL(1,𝔽8) | — | 14 | 1 | no | — |
| 47 | C17 | #64418⋊C2 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 48 | C2×C7 | — | 21 | 1 | no | — |
| 49 | C2×C7 | — | 357 | 1 | no | — |
| 50 | D7 | — | 3 | 1 | no | — |
| 51 | D7 | — | 51 | 1 | no | — |
| 52 | D7 | — | 357 | 1 | no | — |
| 53 | D7 | — | 357 | 1 | no | — |
| 54 | D7 | — | 238 | 1 | no | — |
| 55 | C2×D3 | — | 833 | 1 | no | Hall |
| 56 | C7 | — | 2 | 1 | no | — |
| 57 | C7 | — | 3 | 1 | no | — |
| 58 | C7 | — | 3 | 1 | no | — |
| 59 | C2×C3 | — | 833 | 1 | no | — |
| 60 | D3 | — | 49 | 1 | no | — |
| 61 | D3 | — | 833 | 1 | no | — |
| 62 | C22 | — | 2499 | 1 | no | Sylow |
| 63 | C3 | — | 49 | 1 | no | Sylow |
| 64 | C2 | — | 21 | 1 | no | — |
| 65 | C2 | — | 833 | 1 | no | — |
| 66 | C2 | — | 357 | 1 | no | — |
Finite Group Databasebeta