| 1 | C2×#22552710 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #30660575 | C2 | 1 | 2 | yes | maximal, direct product factor |
| 3 | C2×C3×C19×C7⋊D7 | C3 | 1 | 1 | yes | maximal, characteristic |
| 4 | #22552710 | C22 | 1 | 1 | yes | characteristic, complemented, Hall |
| 5 | C3×C19×C7⋊D7 | C2×C3 | 1 | 2 | yes | — |
| 6 | C2×C3×C72×C19 | C2×C3 | 1 | 1 | yes | characteristic |
| 7 | C2×#14558785 | — | 7 | 8 | no | maximal |
| 8 | C2×C19×C7⋊D7 | C9 | 1 | 1 | yes | characteristic, complemented, Hall |
| 9 | C3×C72×C19 | C22×C3 | 1 | 1 | yes | characteristic |
| 10 | C2×#11924777 | — | 7 | 8 | no | — |
| 11 | #14558785 | — | 7 | 16 | no | — |
| 12 | C2×C72×C19 | C2×C9 | 1 | 1 | yes | characteristic, complemented |
| 13 | C19×C7⋊D7 | C2×C9 | 1 | 2 | yes | complemented |
| 14 | C2×#11725077 | — | 19 | 1 | no | maximal, Hall |
| 15 | C2×C3×D7×C19 | — | 7 | 8 | no | — |
| 16 | #11924777 | — | 7 | 8 | no | — |
| 17 | C72×C19 | C22×C9 | 1 | 1 | yes | characteristic, complemented, Hall |
| 18 | C2×#89204 | — | 19 | 1 | no | — |
| 19 | #11725077 | — | 19 | 2 | no | — |
| 20 | C2×C3×C7×C19 | AGL(1,𝔽7) | 1 | 8 | yes | — |
| 21 | C3×D7×C19 | — | 7 | 16 | no | — |
| 22 | C22×#4294 | — | 49 | 1 | no | Hall |
| 23 | C2×C3×C7⋊D7 | C19⋊C3 | 1 | 1 | yes | characteristic |
| 24 | C2×D7×C19 | — | 7 | 8 | no | — |
| 25 | #89204 | — | 19 | 1 | no | Hall |
| 26 | C3×C7×C19 | C2×AGL(1,𝔽7) | 1 | 8 | yes | — |
| 27 | C2×#4294 | — | 49 | 2 | no | — |
| 28 | C2×#4294 | — | 49 | 1 | no | — |
| 29 | C2×C3×C72 | C2×C19⋊C3 | 1 | 1 | yes | characteristic |
| 30 | C3×C7⋊D7 | C2×C19⋊C3 | 1 | 2 | yes | — |
| 31 | C2×C7×C19 | D7⋊C9 | 1 | 8 | yes | complemented |
| 32 | D7×C19 | — | 7 | 16 | no | — |
| 33 | C2×D7⋊C9 | — | 133 | 8 | no | — |
| 34 | C22×C3×C19 | — | 49 | 1 | no | — |
| 35 | C2×C7⋊D7 | #4294 | 1 | 1 | yes | characteristic, complemented, Hall |
| 36 | #4294 | — | 49 | 1 | no | Hall |
| 37 | C3×C72 | C22×C19⋊C3 | 1 | 1 | yes | characteristic |
| 38 | C7×C19 | C2×D7⋊C9 | 1 | 8 | yes | complemented |
| 39 | C2×C7⋊C9 | — | 133 | 8 | no | — |
| 40 | D7⋊C9 | — | 133 | 16 | no | — |
| 41 | C2×C3×C19 | — | 49 | 2 | no | — |
| 42 | C2×C3×C19 | #64424 | 1 | 1 | yes | characteristic |
| 43 | C2×C72 | C2×#4294 | 1 | 1 | yes | characteristic, complemented |
| 44 | C7⋊D7 | C2×#4294 | 1 | 2 | yes | complemented |
| 45 | C2×C3×D7 | — | 7 | 8 | no | — |
| 46 | C22×C19 | — | 49 | 1 | no | Hall |
| 47 | C7⋊C9 | — | 133 | 8 | no | — |
| 48 | C3×C19 | C2×#64424 | 1 | 1 | yes | characteristic |
| 49 | C72 | C22×#4294 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 50 | C2×C3×C7 | #11716326 | 1 | 8 | yes | — |
| 51 | C3×D7 | — | 7 | 16 | no | — |
| 52 | C2×C19 | — | 49 | 2 | no | — |
| 53 | C2×C19 | #11725077 | 1 | 1 | yes | characteristic, complemented |
| 54 | C22×C9 | — | 931 | 1 | no | Hall |
| 55 | C2×D7 | — | 7 | 8 | no | — |
| 56 | C3×C7 | C2×#11716326 | 1 | 8 | yes | — |
| 57 | C19 | C2×#11725077 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 58 | C2×C9 | — | 931 | 2 | no | — |
| 59 | C2×C9 | — | 931 | 1 | no | — |
| 60 | C2×C7 | #14558785 | 1 | 8 | yes | complemented |
| 61 | D7 | — | 7 | 16 | no | — |
| 62 | C22×C3 | — | 49 | 1 | no | — |
| 63 | C9 | — | 931 | 1 | no | Sylow |
| 64 | C7 | C2×#14558785 | 1 | 8 | yes | complemented |
| 65 | C2×C3 | — | 49 | 2 | no | — |
| 66 | C2×C3 | #19150287 | 1 | 1 | yes | characteristic |
| 67 | C22 | — | 49 | 1 | no | Sylow |
| 68 | C3 | C2×#19150287 | 1 | 1 | yes | characteristic |
| 69 | C2 | — | 49 | 2 | no | — |
| 70 | C2 | #30660575 | 1 | 1 | yes | characteristic, direct product factor |
Finite Group Databasebeta