| 1 | D65×#3862 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C7×C7⋊#63122 | — | 3 | 1 | no | maximal, Hall |
| 3 | C5×C13×#3862 | C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 4 | #21439672 | — | 5 | 1 | no | maximal, Hall |
| 5 | C72×D65 | D3 | 1 | 1 | yes | characteristic |
| 6 | D13×#3862 | — | 5 | 1 | no | — |
| 7 | C5×C72×C13 | Dic3 | 1 | 1 | yes | characteristic, complemented, Hall |
| 8 | #15668773 | — | 13 | 1 | no | maximal, Hall |
| 9 | ΓL(1,𝔽8)×D65 | — | 14 | 1 | no | — |
| 10 | C7×C7⋊#261 | — | 15 | 1 | no | Hall |
| 11 | C13×#3862 | AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented, Hall |
| 12 | C7⋊#63122 | — | 3 | 1 | no | — |
| 13 | C7×#63122 | — | 21 | 1 | no | — |
| 14 | D5×#3862 | — | 13 | 1 | no | — |
| 15 | C5×C13×ΓL(1,𝔽8) | — | 14 | 1 | no | — |
| 16 | C72×D13 | — | 5 | 1 | no | — |
| 17 | C7×C7⋊AGL(1,𝔽5) | — | 39 | 1 | no | Hall |
| 18 | C7×D65 | — | 2 | 1 | no | — |
| 19 | C7×D65 | — | 3 | 1 | no | — |
| 20 | C7×D65 | — | 3 | 1 | no | — |
| 21 | C3⋊#63122 | — | 49 | 1 | no | maximal, Hall |
| 22 | C5×#3862 | #261 | 1 | 1 | yes | characteristic, complemented, Hall |
| 23 | C72×C13 | ΓL(1,𝔽16) | 1 | 1 | yes | characteristic, complemented, Hall |
| 24 | #10596868 | — | 65 | 1 | no | Hall |
| 25 | ΓL(1,𝔽8)×D13 | — | 70 | 1 | no | — |
| 26 | C72×D5 | — | 13 | 1 | no | — |
| 27 | C5×C7×C13 | — | 2 | 1 | no | — |
| 28 | C5×C7×C13 | — | 3 | 1 | no | — |
| 29 | C5×C7×C13 | — | 3 | 1 | no | — |
| 30 | C3×D65 | — | 49 | 1 | no | — |
| 31 | C7⋊#261 | — | 15 | 1 | no | — |
| 32 | C7×#261 | — | 105 | 1 | no | — |
| 33 | C2×#3862 | — | 65 | 1 | no | — |
| 34 | C13×ΓL(1,𝔽8) | — | 14 | 1 | no | — |
| 35 | #63122 | — | 21 | 1 | no | Hall |
| 36 | C5×C72 | C3⋊#261 | 1 | 1 | yes | characteristic, complemented, Hall |
| 37 | D5×ΓL(1,𝔽8) | — | 182 | 1 | no | — |
| 38 | C7×Dic7 | — | 195 | 1 | no | Hall |
| 39 | C3×C5×C13 | — | 49 | 1 | no | Hall |
| 40 | C7×D13 | — | 10 | 1 | no | — |
| 41 | C7×D13 | — | 15 | 1 | no | — |
| 42 | C7×D13 | — | 15 | 1 | no | — |
| 43 | C3⋊#261 | — | 245 | 1 | no | Hall |
| 44 | #3862 | #63122 | 1 | 1 | yes | characteristic, complemented, Hall |
| 45 | C7⋊AGL(1,𝔽5) | — | 39 | 1 | no | — |
| 46 | C7×AGL(1,𝔽5) | — | 273 | 1 | no | — |
| 47 | D65 | #64418 | 1 | 1 | yes | characteristic |
| 48 | C5×ΓL(1,𝔽8) | — | 14 | 1 | no | — |
| 49 | C2×C72 | — | 65 | 1 | no | — |
| 50 | C7×C13 | — | 2 | 1 | no | — |
| 51 | C7×C13 | — | 3 | 1 | no | — |
| 52 | C7×C13 | — | 3 | 1 | no | — |
| 53 | C3×D13 | — | 245 | 1 | no | — |
| 54 | C7×D5 | — | 26 | 1 | no | — |
| 55 | C7×D5 | — | 39 | 1 | no | — |
| 56 | C7×D5 | — | 39 | 1 | no | — |
| 57 | C5×C13 | #10596868 | 1 | 1 | yes | characteristic, complemented, Hall |
| 58 | ΓL(1,𝔽16) | — | 637 | 1 | no | Hall |
| 59 | #261 | — | 105 | 1 | no | Hall |
| 60 | C72 | C3⋊#63122 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 61 | C2×ΓL(1,𝔽8) | — | 910 | 1 | no | — |
| 62 | C3×C13 | — | 49 | 1 | no | Hall |
| 63 | C5×C7 | — | 2 | 1 | no | — |
| 64 | C5×C7 | — | 3 | 1 | no | — |
| 65 | C5×C7 | — | 3 | 1 | no | — |
| 66 | C3×D5 | — | 637 | 1 | no | — |
| 67 | C4×C7 | — | 1365 | 1 | no | — |
| 68 | Dic7 | — | 195 | 1 | no | — |
| 69 | D13 | — | 5 | 1 | no | — |
| 70 | ΓL(1,𝔽8) | — | 14 | 1 | no | — |
| 71 | AGL(1,𝔽5) | — | 273 | 1 | no | Hall |
| 72 | C3×C5 | — | 49 | 1 | no | Hall |
| 73 | C2×C7 | — | 130 | 1 | no | — |
| 74 | C2×C7 | — | 195 | 1 | no | — |
| 75 | C2×C7 | — | 195 | 1 | no | — |
| 76 | C13 | #15668773 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 77 | Dic3 | — | 3185 | 1 | no | Hall |
| 78 | D5 | — | 13 | 1 | no | — |
| 79 | C7 | — | 2 | 1 | no | — |
| 80 | C7 | — | 3 | 1 | no | — |
| 81 | C7 | — | 3 | 1 | no | — |
| 82 | C2×C3 | — | 3185 | 1 | no | — |
| 83 | C5 | #21439672 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 84 | C4 | — | 1365 | 1 | no | Sylow |
| 85 | C3 | — | 49 | 1 | no | Sylow |
| 86 | C2 | — | 65 | 1 | no | — |
Finite Group Databasebeta