| 1 | A5×ΓL(1,𝔽32) | C3 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | A5×C31⋊C3 | C5 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | A4×(C31⋊C3)⋊C5 | — | 5 | 1 | no | maximal |
| 4 | D5×(C31⋊C3)⋊C5 | — | 6 | 1 | no | maximal |
| 5 | D3×(C31⋊C3)⋊C5 | — | 10 | 1 | no | maximal |
| 6 | C5×(C31⋊C3)⋊C5 | — | 6 | 1 | no | — |
| 7 | C22⋊((C31⋊C3)⋊C5) | — | 5 | 2 | no | — |
| 8 | A4×ΓL(1,𝔽32) | — | 5 | 1 | no | — |
| 9 | C22×(C31⋊C3)⋊C5 | — | 5 | 1 | no | — |
| 10 | C31×A5 | C3×C5 | 1 | 1 | yes | characteristic, complemented |
| 11 | D5×ΓL(1,𝔽32) | — | 6 | 1 | no | — |
| 12 | C3×(C31⋊C3)⋊C5 | — | 10 | 1 | no | — |
| 13 | A4×C31⋊C3 | — | 5 | 1 | no | Hall |
| 14 | D5×C31⋊C3 | — | 6 | 1 | no | — |
| 15 | D3×ΓL(1,𝔽32) | — | 10 | 1 | no | — |
| 16 | C2×(C31⋊C3)⋊C5 | — | 15 | 1 | no | — |
| 17 | C3×C5×A5 | — | 31 | 1 | no | maximal, Hall |
| 18 | C5×ΓL(1,𝔽32) | — | 6 | 1 | no | Hall |
| 19 | C22×ΓL(1,𝔽32) | — | 5 | 1 | no | — |
| 20 | D3×C31⋊C3 | — | 10 | 1 | no | — |
| 21 | C5×C31⋊C3 | — | 6 | 1 | no | — |
| 22 | C3×ΓL(1,𝔽32) | — | 10 | 1 | no | — |
| 23 | (C31⋊C3)⋊C5 | — | 12 | 2 | no | — |
| 24 | (C31⋊C3)⋊C5 | — | 20 | 1 | no | — |
| 25 | (C31⋊C3)⋊C5 | A5 | 1 | 1 | yes | maximal normal, characteristic, direct product factor |
| 26 | C22⋊(C31⋊C3) | — | 5 | 2 | no | — |
| 27 | A4×C31 | — | 5 | 1 | no | — |
| 28 | C22×C31⋊C3 | — | 5 | 1 | no | — |
| 29 | D5×C31 | — | 6 | 1 | no | — |
| 30 | C2×ΓL(1,𝔽32) | — | 15 | 1 | no | — |
| 31 | C5×A5 | — | 31 | 1 | no | — |
| 32 | C3×C31⋊C3 | — | 10 | 1 | no | Hall |
| 33 | D3×C31 | — | 10 | 1 | no | — |
| 34 | C2×C31⋊C3 | — | 15 | 1 | no | — |
| 35 | C3×C5×A4 | — | 155 | 1 | no | — |
| 36 | C3×A5 | — | 31 | 1 | no | — |
| 37 | C5×C31 | — | 6 | 1 | no | — |
| 38 | ΓL(1,𝔽32) | — | 12 | 2 | no | — |
| 39 | ΓL(1,𝔽32) | C3×A5 | 1 | 1 | yes | characteristic, complemented |
| 40 | C3×C5×D5 | — | 186 | 1 | no | — |
| 41 | C22×C31 | — | 5 | 1 | no | Hall |
| 42 | C3×C31 | — | 10 | 1 | no | — |
| 43 | C31⋊C3 | — | 20 | 1 | no | — |
| 44 | C31⋊C3 | C5×A5 | 1 | 1 | yes | characteristic, complemented |
| 45 | C3×C5×D3 | — | 310 | 1 | no | — |
| 46 | C3×C52 | — | 186 | 1 | no | — |
| 47 | C2×C31 | — | 15 | 1 | no | — |
| 48 | C22×C3×C5 | — | 155 | 1 | no | — |
| 49 | C5×A4 | — | 155 | 1 | no | — |
| 50 | C5×A4 | — | 155 | 2 | no | — |
| 51 | A5 | (C31⋊C3)⋊C5 | 1 | 1 | yes | characteristic, direct product factor |
| 52 | C5×D5 | — | 186 | 1 | no | — |
| 53 | C32×C5 | — | 310 | 1 | no | — |
| 54 | C3×A4 | — | 155 | 1 | no | Hall |
| 55 | C31 | C3×C5×A5 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 56 | C2×C3×C5 | — | 465 | 1 | no | — |
| 57 | C3×D5 | — | 186 | 1 | no | — |
| 58 | C5×D3 | — | 310 | 1 | no | — |
| 59 | C52 | — | 186 | 1 | no | Sylow |
| 60 | C22×C5 | — | 155 | 1 | no | — |
| 61 | C3×D3 | — | 310 | 1 | no | — |
| 62 | C3×C5 | — | 31 | 1 | no | — |
| 63 | C3×C5 | — | 310 | 1 | no | — |
| 64 | C3×C5 | — | 620 | 1 | no | — |
| 65 | C3×C5 | — | 372 | 2 | no | — |
| 66 | C3×C5 | — | 186 | 1 | no | — |
| 67 | C22×C3 | — | 155 | 1 | no | — |
| 68 | A4 | — | 5 | 1 | no | — |
| 69 | A4 | — | 155 | 2 | no | — |
| 70 | C2×C5 | — | 465 | 1 | no | — |
| 71 | D5 | — | 6 | 1 | no | — |
| 72 | C32 | — | 310 | 1 | no | Sylow |
| 73 | C2×C3 | — | 465 | 1 | no | — |
| 74 | D3 | — | 10 | 1 | no | — |
| 75 | C5 | — | 6 | 1 | no | — |
| 76 | C5 | — | 31 | 1 | no | — |
| 77 | C5 | — | 372 | 2 | no | — |
| 78 | C22 | — | 5 | 1 | no | Sylow |
| 79 | C3 | — | 10 | 1 | no | — |
| 80 | C3 | — | 31 | 1 | no | — |
| 81 | C3 | — | 620 | 1 | no | — |
| 82 | C2 | — | 15 | 1 | no | — |
Finite Group Databasebeta