| 1 | C3⋊(C5⋊(D31⋊C5)) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C5×D3×ΓL(1,𝔽32) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×C5⋊(D31⋊C5) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×C5⋊(D31⋊C5) | — | 3 | 1 | no | maximal, Hall |
| 5 | C3×C5×ΓL(1,𝔽32) | C22 | 1 | 1 | yes | characteristic, complemented, Hall |
| 6 | D3×D155 | C5 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | D3×D31⋊C5 | — | 5 | 1 | no | maximal |
| 8 | C2×C5×ΓL(1,𝔽32) | — | 3 | 1 | no | — |
| 9 | C5⋊(D31⋊C5) | — | 3 | 1 | no | — |
| 10 | C5⋊(D31⋊C5) | D3 | 1 | 1 | yes | characteristic, direct product factor |
| 11 | D465 | C2×C5 | 1 | 1 | yes | characteristic, complemented |
| 12 | C5×D3×C31 | C2×C5 | 1 | 1 | yes | characteristic, complemented |
| 13 | C3×D155 | C2×C5 | 1 | 1 | yes | characteristic, complemented |
| 14 | C3⋊(D31⋊C5) | — | 5 | 1 | no | — |
| 15 | D3×ΓL(1,𝔽32) | — | 2 | 2 | no | — |
| 16 | D3×ΓL(1,𝔽32) | D5 | 1 | 1 | yes | characteristic, complemented |
| 17 | C3×D31⋊C5 | — | 5 | 1 | no | — |
| 18 | C5×ΓL(1,𝔽32) | C2×D3 | 1 | 1 | yes | characteristic, complemented, Hall |
| 19 | C2×D155 | — | 3 | 1 | no | — |
| 20 | C2×D31⋊C5 | — | 15 | 1 | no | — |
| 21 | C3×C5×C31 | C22×C5 | 1 | 1 | yes | characteristic, complemented |
| 22 | C3×ΓL(1,𝔽32) | — | 2 | 2 | no | — |
| 23 | C3×ΓL(1,𝔽32) | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 24 | D3×D31 | — | 5 | 1 | no | Hall |
| 25 | C2×C5×C31 | — | 3 | 1 | no | — |
| 26 | D155 | — | 3 | 1 | no | — |
| 27 | D155 | C5×D3 | 1 | 1 | yes | characteristic, complemented |
| 28 | C2×ΓL(1,𝔽32) | — | 3 | 1 | no | — |
| 29 | C2×ΓL(1,𝔽32) | — | 6 | 2 | no | — |
| 30 | D31⋊C5 | — | 5 | 1 | no | — |
| 31 | D31⋊C5 | — | 15 | 1 | no | — |
| 32 | C5×D3×D5 | — | 31 | 1 | no | maximal, Hall |
| 33 | D93 | — | 5 | 1 | no | — |
| 34 | C3×D31 | — | 5 | 1 | no | — |
| 35 | D3×C31 | C5×D5 | 1 | 1 | yes | characteristic, complemented |
| 36 | C5×C31 | C2×C5×D3 | 1 | 1 | yes | characteristic, complemented |
| 37 | ΓL(1,𝔽32) | — | 2 | 2 | no | — |
| 38 | ΓL(1,𝔽32) | D3×D5 | 1 | 1 | yes | characteristic, complemented |
| 39 | C5×D15 | — | 31 | 1 | no | — |
| 40 | C52×D3 | — | 31 | 1 | no | — |
| 41 | C3×C5×D5 | — | 31 | 1 | no | — |
| 42 | C2×D31 | — | 15 | 1 | no | Hall |
| 43 | C2×C5×D5 | — | 93 | 1 | no | Hall |
| 44 | C3×C31 | C2×C5×D5 | 1 | 1 | yes | characteristic, complemented, Hall |
| 45 | C3×C52 | — | 31 | 1 | no | Hall |
| 46 | C2×C31 | — | 3 | 1 | no | — |
| 47 | D31 | — | 5 | 1 | no | — |
| 48 | D31 | — | 15 | 1 | no | — |
| 49 | C2×C5×D3 | — | 155 | 1 | no | — |
| 50 | D3×D5 | — | 31 | 1 | no | — |
| 51 | C2×C52 | — | 93 | 1 | no | — |
| 52 | C5×D5 | — | 31 | 1 | no | — |
| 53 | C5×D5 | — | 93 | 1 | no | — |
| 54 | C31 | C5×D3×D5 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 55 | C2×C3×C5 | — | 155 | 1 | no | — |
| 56 | D15 | — | 31 | 1 | no | — |
| 57 | C3×D5 | — | 31 | 1 | no | — |
| 58 | C5×D3 | — | 31 | 1 | no | — |
| 59 | C5×D3 | — | 62 | 2 | no | — |
| 60 | C5×D3 | — | 155 | 1 | no | — |
| 61 | C5×D3 | D31⋊C5 | 1 | 1 | yes | characteristic, complemented |
| 62 | C52 | — | 31 | 1 | no | Sylow |
| 63 | C22×C5 | — | 465 | 1 | no | — |
| 64 | C2×D5 | — | 93 | 1 | no | — |
| 65 | C3×C5 | — | 31 | 1 | no | — |
| 66 | C3×C5 | — | 62 | 2 | no | — |
| 67 | C3×C5 | C2×D31⋊C5 | 1 | 1 | yes | characteristic, complemented |
| 68 | C2×D3 | — | 155 | 1 | no | Hall |
| 69 | C2×C5 | — | 3 | 1 | no | — |
| 70 | C2×C5 | — | 93 | 1 | no | — |
| 71 | C2×C5 | — | 155 | 1 | no | — |
| 72 | C2×C5 | — | 186 | 2 | no | — |
| 73 | C2×C5 | — | 465 | 1 | no | — |
| 74 | D5 | — | 31 | 1 | no | — |
| 75 | D5 | — | 93 | 1 | no | — |
| 76 | C2×C3 | — | 155 | 1 | no | — |
| 77 | D3 | — | 155 | 1 | no | — |
| 78 | D3 | C5⋊(D31⋊C5) | 1 | 1 | yes | characteristic, direct product factor |
| 79 | C5 | — | 31 | 1 | no | — |
| 80 | C5 | — | 62 | 2 | no | — |
| 81 | C5 | D3×D31⋊C5 | 1 | 1 | yes | characteristic, complemented |
| 82 | C22 | — | 465 | 1 | no | Sylow |
| 83 | C3 | C2×C5⋊(D31⋊C5) | 1 | 1 | yes | characteristic, complemented, Sylow |
| 84 | C2 | — | 3 | 1 | no | — |
| 85 | C2 | — | 155 | 1 | no | — |
| 86 | C2 | — | 465 | 1 | no | — |
Finite Group Databasebeta