| 1 | C7×D13×C7⋊C9 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C3×C72×#261 | C3 | 1 | 1 | yes | maximal, characteristic |
| 3 | C7×C13×C7⋊C9 | C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 4 | C3×C72×D13 | C2×C3 | 1 | 1 | yes | characteristic |
| 5 | C7×C9×#261 | — | 7 | 1 | no | maximal |
| 6 | #261×C7⋊C9 | C7 | 1 | 1 | yes | maximal, characteristic, direct product factor |
| 7 | C72×#261 | C9 | 1 | 1 | yes | characteristic, complemented, Hall |
| 8 | C3×C72×C13 | C3×C4 | 1 | 1 | yes | characteristic |
| 9 | C4×C7×C7⋊C9 | — | 13 | 1 | no | maximal, Hall |
| 10 | C7×C9×D13 | — | 7 | 1 | no | — |
| 11 | D13×C7⋊C9 | C2×C7 | 1 | 1 | yes | characteristic |
| 12 | C72×D13 | C2×C9 | 1 | 1 | yes | characteristic |
| 13 | C3×C7×#261 | — | 3 | 2 | no | — |
| 14 | C3×C7×#261 | ΓL(1,𝔽8) | 1 | 1 | yes | characteristic |
| 15 | C3×C7×#261 | C3×C7 | 1 | 1 | yes | characteristic |
| 16 | C2×C7×C7⋊C9 | — | 13 | 1 | no | — |
| 17 | C7×C9×C13 | — | 7 | 1 | no | — |
| 18 | C13×C7⋊C9 | C4×C7 | 1 | 1 | yes | characteristic, complemented |
| 19 | C72×C13 | C4×C9 | 1 | 1 | yes | characteristic, complemented, Hall |
| 20 | C3×C4×C72 | — | 13 | 1 | no | — |
| 21 | C3×C7×D13 | — | 3 | 2 | no | — |
| 22 | C3×C7×D13 | C2×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic |
| 23 | C3×C7×D13 | C2×C3×C7 | 1 | 1 | yes | characteristic |
| 24 | C9×#261 | — | 7 | 1 | no | Hall |
| 25 | C7×C7⋊C9 | #261 | 1 | 1 | yes | characteristic, direct product factor, Hall |
| 26 | C7×#261 | — | 3 | 2 | no | — |
| 27 | C7×#261 | C7⋊C9 | 1 | 1 | yes | characteristic, direct product factor |
| 28 | C7×#261 | C7×C9 | 1 | 1 | yes | characteristic, complemented |
| 29 | C2×C3×C72 | — | 13 | 1 | no | — |
| 30 | C3×C7×C13 | — | 3 | 2 | no | — |
| 31 | C3×C7×C13 | C4×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic |
| 32 | C3×C7×C13 | C3×C4×C7 | 1 | 1 | yes | characteristic |
| 33 | C4×C7×C9 | — | 91 | 1 | no | — |
| 34 | C4×C7⋊C9 | — | 13 | 1 | no | — |
| 35 | C9×D13 | — | 7 | 1 | no | — |
| 36 | C4×C72 | — | 13 | 1 | no | Hall |
| 37 | C7×D13 | — | 3 | 2 | no | — |
| 38 | C7×D13 | C2×C7⋊C9 | 1 | 1 | yes | characteristic |
| 39 | C7×D13 | C2×C7×C9 | 1 | 1 | yes | characteristic |
| 40 | C3×#261 | C7×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic |
| 41 | C3×C72 | C3×#261 | 1 | 1 | yes | characteristic |
| 42 | C2×C7×C9 | — | 91 | 1 | no | — |
| 43 | C2×C7⋊C9 | — | 13 | 1 | no | — |
| 44 | C9×C13 | — | 7 | 1 | no | Hall |
| 45 | C2×C72 | — | 13 | 1 | no | — |
| 46 | C7×C13 | — | 3 | 2 | no | — |
| 47 | C7×C13 | C4×C7⋊C9 | 1 | 1 | yes | characteristic, complemented |
| 48 | C7×C13 | C4×C7×C9 | 1 | 1 | yes | characteristic, complemented |
| 49 | C3×C4×C7 | — | 13 | 1 | no | — |
| 50 | C3×C4×C7 | — | 13 | 1 | no | — |
| 51 | C3×C4×C7 | — | 39 | 2 | no | — |
| 52 | C3×D13 | C2×C7×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic |
| 53 | C7×C9 | — | 7 | 1 | no | — |
| 54 | C7⋊C9 | C7×#261 | 1 | 1 | yes | characteristic, direct product factor |
| 55 | #261 | C7×C7⋊C9 | 1 | 1 | yes | characteristic, direct product factor, Hall |
| 56 | C72 | C9×#261 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 57 | C2×C3×C7 | — | 13 | 1 | no | — |
| 58 | C2×C3×C7 | — | 13 | 1 | no | — |
| 59 | C2×C3×C7 | — | 39 | 2 | no | — |
| 60 | C3×C13 | C4×C7×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic |
| 61 | C4×C9 | — | 91 | 1 | no | Hall |
| 62 | C4×C7 | — | 13 | 1 | no | — |
| 63 | C4×C7 | — | 13 | 1 | no | — |
| 64 | C4×C7 | — | 39 | 2 | no | — |
| 65 | D13 | C2×C7×C7⋊C9 | 1 | 1 | yes | characteristic |
| 66 | C3×C7 | — | 3 | 2 | no | — |
| 67 | C3×C7 | ΓL(1,𝔽8)×#261 | 1 | 1 | yes | characteristic |
| 68 | C3×C7 | C3×C7×#261 | 1 | 1 | yes | characteristic |
| 69 | C2×C9 | — | 91 | 1 | no | — |
| 70 | C2×C7 | — | 13 | 1 | no | — |
| 71 | C2×C7 | — | 13 | 1 | no | — |
| 72 | C2×C7 | — | 39 | 2 | no | — |
| 73 | C13 | C4×C7×C7⋊C9 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 74 | C3×C4 | — | 13 | 1 | no | — |
| 75 | C9 | — | 7 | 1 | no | Sylow |
| 76 | C7 | — | 3 | 2 | no | — |
| 77 | C7 | #261×C7⋊C9 | 1 | 1 | yes | characteristic, direct product factor |
| 78 | C7 | C7×C9×#261 | 1 | 1 | yes | characteristic, complemented |
| 79 | C2×C3 | — | 13 | 1 | no | — |
| 80 | C4 | — | 13 | 1 | no | Sylow |
| 81 | C3 | C7×ΓL(1,𝔽8)×#261 | 1 | 1 | yes | characteristic |
| 82 | C2 | — | 13 | 1 | no | — |
Finite Group Databasebeta