| 1 | C22×C3×C72×C13 | C3 | 1 | 1 | yes | maximal, characteristic |
| 2 | C7×#11717941 | — | 4 | 1 | no | maximal, Hall |
| 3 | C2×C3×C72×C13 | — | 3 | 1 | no | — |
| 4 | C22⋊#11717941 | C7 | 1 | 1 | yes | maximal, characteristic, direct product factor |
| 5 | C7×C22⋊(C13⋊C9) | — | 7 | 1 | no | maximal |
| 6 | C22×C72×C13 | C9 | 1 | 1 | yes | characteristic, complemented, Hall |
| 7 | C3×C72×C13 | A4 | 1 | 1 | yes | characteristic |
| 8 | C7×C22⋊(C7⋊C9) | — | 13 | 1 | no | maximal, Hall |
| 9 | C2×C72×C13 | — | 3 | 1 | no | — |
| 10 | C22×C3×C7×C13 | — | 3 | 2 | no | — |
| 11 | C22×C3×C7×C13 | ΓL(1,𝔽8) | 1 | 1 | yes | characteristic |
| 12 | C22×C3×C7×C13 | C3×C7 | 1 | 1 | yes | characteristic |
| 13 | #11717941 | — | 4 | 1 | no | — |
| 14 | C7×C13⋊C9 | — | 28 | 1 | no | — |
| 15 | C72×C13 | C22⋊C9 | 1 | 1 | yes | characteristic, complemented, Hall |
| 16 | C22×C3×C72 | C13⋊C3 | 1 | 1 | yes | characteristic |
| 17 | C2×C3×C7×C13 | — | 3 | 6 | no | — |
| 18 | C2×C3×C7×C13 | — | 3 | 1 | no | — |
| 19 | C2×C3×C7×C13 | — | 3 | 1 | no | — |
| 20 | C22⋊(C13⋊C9) | — | 7 | 1 | no | Hall |
| 21 | C7×C7⋊C9 | — | 52 | 1 | no | Hall |
| 22 | C22×C7×C13 | — | 3 | 2 | no | — |
| 23 | C22×C7×C13 | C7⋊C9 | 1 | 1 | yes | characteristic, complemented |
| 24 | C22×C7×C13 | C7×C9 | 1 | 1 | yes | characteristic, complemented |
| 25 | C2×C3×C72 | — | 3 | 1 | no | — |
| 26 | C3×C7×C13 | — | 3 | 2 | no | — |
| 27 | C3×C7×C13 | C7×A4 | 1 | 1 | yes | characteristic |
| 28 | C3×C7×C13 | C22⋊ΓL(1,𝔽8) | 1 | 1 | yes | characteristic |
| 29 | C22⋊(C7⋊C9) | — | 13 | 1 | no | — |
| 30 | C7×C22⋊C9 | — | 91 | 1 | no | — |
| 31 | C22×C72 | C13⋊C9 | 1 | 1 | yes | characteristic, complemented, Hall |
| 32 | C2×C7×C13 | — | 3 | 6 | no | — |
| 33 | C2×C7×C13 | — | 3 | 1 | no | — |
| 34 | C2×C7×C13 | — | 3 | 1 | no | — |
| 35 | C22×C3×C13 | C7×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic |
| 36 | C3×C72 | C22⋊(C13⋊C3) | 1 | 1 | yes | characteristic |
| 37 | C13⋊C9 | — | 28 | 1 | no | Hall |
| 38 | C2×C72 | — | 3 | 1 | no | — |
| 39 | C7×C13 | — | 3 | 2 | no | — |
| 40 | C7×C13 | C7×C22⋊C9 | 1 | 1 | yes | characteristic, complemented |
| 41 | C7×C13 | C22⋊(C7⋊C9) | 1 | 1 | yes | characteristic, complemented |
| 42 | C22×C3×C7 | — | 3 | 2 | no | — |
| 43 | C22×C3×C7 | C7×C13⋊C3 | 1 | 1 | yes | characteristic |
| 44 | C22×C3×C7 | #63270 | 1 | 1 | yes | characteristic |
| 45 | C2×C3×C13 | — | 3 | 1 | no | — |
| 46 | C7×C9 | — | 364 | 1 | no | — |
| 47 | C7⋊C9 | — | 52 | 1 | no | — |
| 48 | C22×C13 | C7×C7⋊C9 | 1 | 1 | yes | characteristic, complemented, Hall |
| 49 | C72 | C22⋊(C13⋊C9) | 1 | 1 | yes | characteristic, complemented, Sylow |
| 50 | C2×C3×C7 | — | 3 | 6 | no | — |
| 51 | C2×C3×C7 | — | 3 | 1 | no | — |
| 52 | C2×C3×C7 | — | 3 | 1 | no | — |
| 53 | C3×C13 | C7×C22⋊ΓL(1,𝔽8) | 1 | 1 | yes | characteristic |
| 54 | C22⋊C9 | — | 91 | 1 | no | Hall |
| 55 | C22×C7 | — | 3 | 2 | no | — |
| 56 | C22×C7 | C7×C13⋊C9 | 1 | 1 | yes | characteristic, complemented |
| 57 | C22×C7 | #11717941 | 1 | 1 | yes | characteristic, complemented |
| 58 | C2×C13 | — | 3 | 1 | no | — |
| 59 | C3×C7 | — | 3 | 2 | no | — |
| 60 | C3×C7 | C7×C22⋊(C13⋊C3) | 1 | 1 | yes | characteristic |
| 61 | C3×C7 | C22⋊#63270 | 1 | 1 | yes | characteristic |
| 62 | C2×C7 | — | 3 | 6 | no | — |
| 63 | C2×C7 | — | 3 | 1 | no | — |
| 64 | C2×C7 | — | 3 | 1 | no | — |
| 65 | C13 | C7×C22⋊(C7⋊C9) | 1 | 1 | yes | characteristic, complemented, Sylow |
| 66 | C22×C3 | C7×#63270 | 1 | 1 | yes | characteristic |
| 67 | C9 | — | 364 | 1 | no | Sylow |
| 68 | C7 | — | 3 | 2 | no | — |
| 69 | C7 | C7×C22⋊(C13⋊C9) | 1 | 1 | yes | characteristic, complemented |
| 70 | C7 | C22⋊#11717941 | 1 | 1 | yes | characteristic, direct product factor |
| 71 | C2×C3 | — | 3 | 1 | no | — |
| 72 | C22 | C7×#11717941 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 73 | C3 | C7×C22⋊#63270 | 1 | 1 | yes | characteristic |
| 74 | C2 | — | 3 | 1 | no | — |
Finite Group Databasebeta