| 1 | D5×Q16 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #4058 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | C5×SD32 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #3961 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #3959 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | Dic40 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #3930 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | Q8×D5 | — | 2 | 1 | no | — |
| 9 | #711 | — | 2 | 1 | no | — |
| 10 | C5×Q16 | C22 | 1 | 1 | yes | characteristic |
| 11 | C5×D8 | C22 | 1 | 1 | yes | characteristic |
| 12 | #689 | — | 2 | 1 | no | — |
| 13 | #687 | — | 2 | 1 | no | — |
| 14 | Dic20 | C22 | 1 | 1 | yes | characteristic |
| 15 | Dic20 | C22 | 1 | 1 | yes | characteristic |
| 16 | C8×D5 | C22 | 1 | 1 | yes | characteristic |
| 17 | C5×C16 | C22 | 1 | 1 | yes | characteristic |
| 18 | #672 | C22 | 1 | 1 | yes | characteristic |
| 19 | #510 | — | 5 | 1 | no | maximal, Sylow |
| 20 | C5×Q8 | — | 2 | 1 | no | — |
| 21 | C5×D4 | — | 2 | 1 | no | — |
| 22 | C22⋊D5 | — | 4 | 1 | no | — |
| 23 | C2×Dic5 | — | 4 | 1 | no | — |
| 24 | C4×D5 | — | 4 | 1 | no | — |
| 25 | C4×D5 | D4 | 1 | 1 | yes | characteristic |
| 26 | Dic10 | — | 2 | 1 | no | — |
| 27 | Dic10 | — | 2 | 1 | no | — |
| 28 | Dic10 | — | 4 | 1 | no | — |
| 29 | C5×C8 | C23 | 1 | 1 | yes | characteristic |
| 30 | #168 | D4 | 1 | 1 | yes | characteristic |
| 31 | #135 | — | 5 | 1 | no | — |
| 32 | C2×Q16 | — | 5 | 1 | no | — |
| 33 | Q32 | — | 5 | 1 | no | — |
| 34 | Q32 | — | 5 | 1 | no | — |
| 35 | SD32 | — | 5 | 1 | no | — |
| 36 | SD32 | D5 | 1 | 1 | yes | characteristic, complemented |
| 37 | M32 | — | 5 | 1 | no | — |
| 38 | C22×C5 | — | 4 | 1 | no | — |
| 39 | C2×D5 | D8 | 1 | 1 | yes | characteristic |
| 40 | C4×C5 | — | 4 | 1 | no | — |
| 41 | C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 42 | Dic5 | — | 4 | 1 | no | — |
| 43 | Dic5 | — | 4 | 1 | no | — |
| 44 | Dic5 | D8 | 1 | 1 | yes | characteristic |
| 45 | #41 | — | 10 | 1 | no | — |
| 46 | C2×Q8 | — | 10 | 1 | no | — |
| 47 | Q16 | — | 5 | 1 | no | — |
| 48 | Q16 | — | 5 | 1 | no | — |
| 49 | Q16 | — | 10 | 1 | no | — |
| 50 | Q16 | C2×D5 | 1 | 1 | yes | characteristic |
| 51 | SD16 | — | 10 | 1 | no | — |
| 52 | D8 | C2×D5 | 1 | 1 | yes | characteristic |
| 53 | C2×C8 | — | 5 | 1 | no | — |
| 54 | C16 | — | 5 | 1 | no | — |
| 55 | C16 | C2×D5 | 1 | 1 | yes | characteristic |
| 56 | C2×C5 | — | 8 | 1 | no | — |
| 57 | C2×C5 | C2×D8 | 1 | 1 | yes | characteristic |
| 58 | D5 | — | 2 | 1 | no | — |
| 59 | Q8 | — | 2 | 1 | no | — |
| 60 | Q8 | — | 10 | 1 | no | — |
| 61 | Q8 | — | 10 | 1 | no | — |
| 62 | Q8 | — | 20 | 1 | no | — |
| 63 | D4 | — | 2 | 1 | no | — |
| 64 | D4 | — | 20 | 1 | no | — |
| 65 | C2×C4 | — | 5 | 1 | no | — |
| 66 | C2×C4 | — | 20 | 1 | no | — |
| 67 | C2×C4 | — | 20 | 1 | no | — |
| 68 | C8 | — | 5 | 1 | no | — |
| 69 | C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 70 | C5 | #510 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 71 | C22 | — | 4 | 1 | no | — |
| 72 | C22 | — | 5 | 1 | no | — |
| 73 | C4 | — | 4 | 1 | no | — |
| 74 | C4 | — | 5 | 1 | no | — |
| 75 | C4 | — | 20 | 1 | no | — |
| 76 | C4 | — | 20 | 1 | no | — |
| 77 | C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 78 | C2 | — | 8 | 1 | no | — |
| 79 | C2 | — | 10 | 1 | no | — |
| 80 | C2 | D5×D8 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta