| 1 | C5×D5×A4 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C22⋊#1042 | — | 3 | 1 | no | maximal, Hall |
| 3 | C52×A4 | C4 | 1 | 1 | yes | characteristic, complemented |
| 4 | C3⋊#1042 | — | 4 | 1 | no | maximal |
| 5 | A4⋊AGL(1,𝔽5) | — | 5 | 1 | no | maximal |
| 6 | A4⋊Dic5 | — | 5 | 1 | no | maximal |
| 7 | C22×C5×D5 | D3 | 1 | 1 | yes | characteristic |
| 8 | C2×#1042 | — | 3 | 1 | no | — |
| 9 | C2×#1042 | — | 3 | 1 | no | — |
| 10 | C3×C5×D5 | — | 4 | 1 | no | — |
| 11 | C2×C5×A4 | — | 5 | 1 | no | — |
| 12 | D5×A4 | D5 | 1 | 1 | yes | characteristic |
| 13 | C22×C52 | Dic3 | 1 | 1 | yes | characteristic, complemented |
| 14 | C2×C5×D5 | — | 3 | 1 | no | — |
| 15 | C2×C5×D5 | — | 3 | 1 | no | — |
| 16 | #1042 | — | 6 | 1 | no | — |
| 17 | #1042 | — | 6 | 1 | no | — |
| 18 | C22⋊AGL(1,𝔽5) | — | 15 | 1 | no | — |
| 19 | C22⋊Dic5 | — | 15 | 1 | no | — |
| 20 | C3×C52 | — | 4 | 1 | no | Hall |
| 21 | C5×A4 | — | 4 | 1 | no | — |
| 22 | C5×A4 | Dic5 | 1 | 1 | yes | characteristic, complemented |
| 23 | C5×A4 | AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 24 | ΓL(1,𝔽16) | — | 20 | 1 | no | — |
| 25 | Dic15 | — | 20 | 1 | no | — |
| 26 | C2×C52 | — | 3 | 1 | no | — |
| 27 | C5×D5 | — | 3 | 1 | no | — |
| 28 | C5×D5 | S4 | 1 | 1 | yes | characteristic |
| 29 | SL(2,ℤ/4) | — | 25 | 1 | no | Hall |
| 30 | C23×C5 | — | 5 | 1 | no | — |
| 31 | C22×D5 | D15 | 1 | 1 | yes | characteristic |
| 32 | C2×AGL(1,𝔽5) | — | 15 | 1 | no | — |
| 33 | C2×AGL(1,𝔽5) | — | 15 | 1 | no | — |
| 34 | C2×Dic5 | — | 15 | 1 | no | — |
| 35 | C2×Dic5 | — | 15 | 1 | no | — |
| 36 | C2×C3×C5 | — | 20 | 1 | no | — |
| 37 | C3×D5 | — | 4 | 1 | no | — |
| 38 | C52 | SL(2,ℤ/4) | 1 | 1 | yes | characteristic, complemented, Sylow |
| 39 | C2×A4 | — | 5 | 1 | no | — |
| 40 | C22×C5 | — | 4 | 1 | no | — |
| 41 | C22×C5 | — | 15 | 1 | no | — |
| 42 | C22×C5 | — | 15 | 1 | no | — |
| 43 | C22×C5 | Dic15 | 1 | 1 | yes | characteristic, complemented |
| 44 | C22×C5 | ΓL(1,𝔽16) | 1 | 1 | yes | characteristic, complemented |
| 45 | C2×D5 | — | 3 | 1 | no | — |
| 46 | C2×D5 | — | 3 | 1 | no | — |
| 47 | AGL(1,𝔽5) | — | 30 | 1 | no | — |
| 48 | AGL(1,𝔽5) | — | 30 | 1 | no | — |
| 49 | Dic5 | — | 30 | 1 | no | — |
| 50 | Dic5 | — | 30 | 1 | no | — |
| 51 | C22⋊C4 | — | 75 | 1 | no | Sylow |
| 52 | C3×C5 | — | 4 | 1 | no | — |
| 53 | C3×C5 | — | 4 | 1 | no | — |
| 54 | C3×C5 | — | 16 | 1 | no | — |
| 55 | A4 | #1042 | 1 | 1 | yes | characteristic, complemented |
| 56 | Dic3 | — | 100 | 1 | no | — |
| 57 | C2×C5 | — | 3 | 1 | no | — |
| 58 | C2×C5 | — | 3 | 1 | no | — |
| 59 | C2×C5 | — | 5 | 1 | no | — |
| 60 | C2×C5 | — | 12 | 1 | no | — |
| 61 | C2×C5 | — | 15 | 1 | no | — |
| 62 | D5 | — | 3 | 1 | no | — |
| 63 | D5 | C5⋊S4 | 1 | 1 | yes | characteristic |
| 64 | C23 | — | 5 | 1 | no | — |
| 65 | C2×C4 | — | 75 | 1 | no | — |
| 66 | C2×C4 | — | 75 | 1 | no | — |
| 67 | C2×C3 | — | 20 | 1 | no | — |
| 68 | C5 | — | 4 | 1 | no | — |
| 69 | C5 | A4⋊Dic5 | 1 | 1 | yes | characteristic, complemented |
| 70 | C5 | A4⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 71 | C22 | — | 15 | 1 | no | — |
| 72 | C22 | — | 15 | 1 | no | — |
| 73 | C22 | C3⋊#1042 | 1 | 1 | yes | characteristic, complemented |
| 74 | C4 | — | 150 | 1 | no | — |
| 75 | C4 | — | 150 | 1 | no | — |
| 76 | C3 | — | 4 | 1 | no | Sylow |
| 77 | C2 | — | 3 | 1 | no | — |
| 78 | C2 | — | 5 | 1 | no | — |
| 79 | C2 | — | 15 | 1 | no | — |
Finite Group Databasebeta