| 1 | C5⋊#11716328 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | D5×#87705 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C5×#11716328 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | D5×D133 | C3 | 1 | 1 | yes | maximal, characteristic, complemented, Hall |
| 5 | C5×#87705 | C22 | 1 | 1 | yes | characteristic, complemented, Hall |
| 6 | C2×#11716328 | — | 5 | 1 | no | maximal, Hall |
| 7 | D665 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 8 | C7×D5×C19 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 9 | C5×D133 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 10 | D5×D19⋊C3 | — | 7 | 1 | no | maximal, Hall |
| 11 | C2×#87705 | — | 5 | 1 | no | — |
| 12 | #11716328 | — | 5 | 1 | no | — |
| 13 | #11716328 | D5 | 1 | 1 | yes | characteristic, direct product factor |
| 14 | C5×C7×C19 | C22×C3 | 1 | 1 | yes | characteristic, complemented, Hall |
| 15 | C5⋊(D19⋊C3) | — | 7 | 1 | no | — |
| 16 | D5×C19⋊C3 | — | 7 | 1 | no | — |
| 17 | C5×D19⋊C3 | — | 7 | 1 | no | — |
| 18 | C2×D133 | — | 5 | 1 | no | Hall |
| 19 | D5×AGL(1,𝔽7) | — | 19 | 1 | no | maximal, Hall |
| 20 | #87705 | C2×D5 | 1 | 1 | yes | characteristic, complemented, Hall |
| 21 | D5×D19 | — | 7 | 1 | no | Hall |
| 22 | C5×C19⋊C3 | — | 7 | 1 | no | Hall |
| 23 | C2×C7×C19 | — | 5 | 1 | no | — |
| 24 | D133 | — | 5 | 1 | no | — |
| 25 | D133 | C3×D5 | 1 | 1 | yes | characteristic, complemented |
| 26 | C2×D19⋊C3 | — | 35 | 1 | no | Hall |
| 27 | C5⋊AGL(1,𝔽7) | — | 19 | 1 | no | — |
| 28 | D5×ΓL(1,𝔽8) | — | 19 | 1 | no | — |
| 29 | C5×AGL(1,𝔽7) | — | 19 | 1 | no | — |
| 30 | D95 | — | 7 | 1 | no | — |
| 31 | C5×D19 | — | 7 | 1 | no | — |
| 32 | D5×C19 | AGL(1,𝔽7) | 1 | 1 | yes | characteristic, complemented |
| 33 | D5×D7 | — | 19 | 1 | no | Hall |
| 34 | C7×C19 | C2×C3×D5 | 1 | 1 | yes | characteristic, complemented, Hall |
| 35 | C2×C19⋊C3 | — | 35 | 1 | no | — |
| 36 | D19⋊C3 | — | 7 | 1 | no | — |
| 37 | D19⋊C3 | — | 35 | 1 | no | — |
| 38 | C5×ΓL(1,𝔽8) | — | 19 | 1 | no | Hall |
| 39 | C5×C19 | C2×AGL(1,𝔽7) | 1 | 1 | yes | characteristic, complemented, Hall |
| 40 | C2×AGL(1,𝔽7) | — | 95 | 1 | no | Hall |
| 41 | C2×D19 | — | 35 | 1 | no | Hall |
| 42 | D35 | — | 19 | 1 | no | — |
| 43 | C5×D7 | — | 19 | 1 | no | — |
| 44 | C7×D5 | D19⋊C3 | 1 | 1 | yes | characteristic, complemented |
| 45 | C2×C3×D5 | — | 133 | 1 | no | Hall |
| 46 | C19⋊C3 | — | 7 | 1 | no | Hall |
| 47 | C2×ΓL(1,𝔽8) | — | 95 | 1 | no | — |
| 48 | AGL(1,𝔽7) | — | 19 | 1 | no | — |
| 49 | AGL(1,𝔽7) | — | 95 | 1 | no | — |
| 50 | C2×C19 | — | 5 | 1 | no | — |
| 51 | D19 | — | 7 | 1 | no | — |
| 52 | D19 | — | 35 | 1 | no | — |
| 53 | C5×C7 | C2×D19⋊C3 | 1 | 1 | yes | characteristic, complemented, Hall |
| 54 | C2×C3×C5 | — | 133 | 1 | no | — |
| 55 | C3×D5 | — | 133 | 1 | no | — |
| 56 | C3×D5 | — | 133 | 1 | no | — |
| 57 | C2×D7 | — | 95 | 1 | no | Hall |
| 58 | ΓL(1,𝔽8) | — | 19 | 1 | no | Hall |
| 59 | C2×D5 | — | 133 | 1 | no | Hall |
| 60 | C19 | D5×AGL(1,𝔽7) | 1 | 1 | yes | characteristic, complemented, Sylow |
| 61 | C3×C5 | — | 133 | 1 | no | Hall |
| 62 | C2×C7 | — | 5 | 1 | no | — |
| 63 | D7 | — | 19 | 1 | no | — |
| 64 | D7 | — | 95 | 1 | no | — |
| 65 | C22×C3 | — | 665 | 1 | no | Hall |
| 66 | C2×C5 | — | 133 | 1 | no | — |
| 67 | D5 | — | 133 | 1 | no | — |
| 68 | D5 | #11716328 | 1 | 1 | yes | characteristic, direct product factor |
| 69 | C7 | D5×D19⋊C3 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 70 | C2×C3 | — | 133 | 1 | no | — |
| 71 | C2×C3 | — | 665 | 1 | no | — |
| 72 | C2×C3 | — | 665 | 1 | no | — |
| 73 | C5 | C2×#11716328 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 74 | C22 | — | 665 | 1 | no | Sylow |
| 75 | C3 | — | 133 | 1 | no | Sylow |
| 76 | C2 | — | 5 | 1 | no | — |
| 77 | C2 | — | 133 | 1 | no | — |
| 78 | C2 | — | 665 | 1 | no | — |
Finite Group Databasebeta