| 1 | #2263 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #2179 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #2177 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #1426 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #1419 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #1418 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #1398 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #508 | C22 | 1 | 1 | yes | characteristic |
| 9 | C2×D16 | C22 | 1 | 1 | yes | characteristic |
| 10 | #443 | — | 2 | 1 | no | — |
| 11 | C4×D8 | — | 2 | 1 | no | — |
| 12 | SD64 | C4 | 1 | 2 | yes | complemented |
| 13 | D32 | C4 | 1 | 2 | yes | complemented |
| 14 | M64 | C22 | 1 | 1 | yes | characteristic |
| 15 | M64 | C22 | 1 | 1 | yes | characteristic |
| 16 | #368 | C22 | 1 | 1 | yes | characteristic |
| 17 | #367 | C22 | 1 | 1 | yes | characteristic |
| 18 | #359 | — | 2 | 1 | no | — |
| 19 | #357 | — | 2 | 1 | no | — |
| 20 | #346 | C22 | 1 | 1 | yes | characteristic |
| 21 | #135 | — | 2 | 1 | no | — |
| 22 | C2×D8 | — | 2 | 1 | no | — |
| 23 | #131 | — | 4 | 1 | no | — |
| 24 | C4×D4 | — | 4 | 1 | no | — |
| 25 | Q32 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 26 | SD32 | — | 2 | 1 | no | — |
| 27 | D16 | — | 2 | 1 | no | — |
| 28 | D16 | C2×C4 | 1 | 2 | yes | — |
| 29 | D16 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 30 | C2×C16 | D4 | 1 | 1 | yes | characteristic |
| 31 | C2×C16 | C23 | 1 | 1 | yes | characteristic |
| 32 | #108 | — | 2 | 1 | no | — |
| 33 | #107 | — | 2 | 1 | no | — |
| 34 | #104 | — | 4 | 1 | no | — |
| 35 | #102 | — | 4 | 1 | no | — |
| 36 | C4×C8 | D4 | 1 | 1 | yes | characteristic |
| 37 | C32 | — | 2 | 1 | no | — |
| 38 | C32 | C2×C4 | 1 | 2 | yes | complemented |
| 39 | #41 | — | 4 | 1 | no | — |
| 40 | C2×D4 | — | 4 | 1 | no | — |
| 41 | C22×C4 | — | 8 | 1 | no | — |
| 42 | Q16 | — | 2 | 1 | no | — |
| 43 | SD16 | — | 4 | 1 | no | — |
| 44 | D8 | — | 2 | 2 | no | — |
| 45 | D8 | — | 2 | 1 | no | — |
| 46 | D8 | — | 4 | 1 | no | — |
| 47 | M16 | — | 4 | 1 | no | — |
| 48 | M16 | — | 8 | 1 | no | — |
| 49 | C2×C8 | — | 8 | 1 | no | — |
| 50 | C2×C8 | D8 | 1 | 1 | yes | characteristic |
| 51 | C2×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 52 | C4⋊C4 | — | 4 | 1 | no | — |
| 53 | C22⋊C4 | — | 8 | 1 | no | — |
| 54 | C42 | D8 | 1 | 1 | yes | characteristic |
| 55 | C16 | — | 2 | 1 | no | — |
| 56 | C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 57 | C16 | #41 | 1 | 1 | yes | characteristic |
| 58 | C23 | — | 8 | 1 | no | — |
| 59 | Q8 | — | 4 | 1 | no | — |
| 60 | D4 | — | 4 | 2 | no | — |
| 61 | D4 | — | 4 | 1 | no | — |
| 62 | D4 | — | 8 | 1 | no | — |
| 63 | D4 | — | 8 | 1 | no | — |
| 64 | C2×C4 | — | 2 | 1 | no | — |
| 65 | C2×C4 | — | 8 | 1 | no | — |
| 66 | C2×C4 | — | 8 | 1 | no | — |
| 67 | C2×C4 | — | 16 | 2 | no | — |
| 68 | C2×C4 | C2×D8 | 1 | 1 | yes | characteristic |
| 69 | C8 | — | 2 | 1 | no | — |
| 70 | C8 | — | 8 | 1 | no | — |
| 71 | C8 | C4×D4 | 1 | 1 | yes | characteristic |
| 72 | C8 | #135 | 1 | 1 | yes | characteristic |
| 73 | C22 | — | 8 | 1 | no | — |
| 74 | C22 | — | 8 | 2 | no | — |
| 75 | C22 | — | 16 | 1 | no | — |
| 76 | C22 | — | 16 | 1 | no | — |
| 77 | C22 | #509 | 1 | 1 | yes | characteristic |
| 78 | C4 | — | 4 | 1 | no | — |
| 79 | C4 | — | 8 | 1 | no | — |
| 80 | C4 | — | 16 | 1 | no | — |
| 81 | C4 | C4×D8 | 1 | 1 | yes | characteristic |
| 82 | C4 | #509 | 1 | 1 | yes | characteristic |
| 83 | C2 | — | 2 | 1 | no | — |
| 84 | C2 | — | 16 | 1 | no | — |
| 85 | C2 | — | 16 | 2 | no | — |
| 86 | C2 | #2177 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta