| 1 | #15691359 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | D4×D197 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #15691345 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | D1576 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #15691343 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #15691341 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | SD16×C197 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C22×D197 | — | 2 | 1 | no | — |
| 9 | D788 | — | 2 | 1 | no | — |
| 10 | D788 | C22 | 1 | 1 | yes | characteristic |
| 11 | D788 | C22 | 1 | 1 | yes | characteristic, complemented |
| 12 | C22⋊D197 | — | 2 | 1 | no | — |
| 13 | C4×D197 | — | 2 | 1 | no | — |
| 14 | C4×D197 | C22 | 1 | 1 | yes | characteristic |
| 15 | #13096802 | C22 | 1 | 1 | yes | characteristic, complemented |
| 16 | Q8×C197 | C22 | 1 | 1 | yes | characteristic, complemented |
| 17 | D4×C197 | C22 | 1 | 1 | yes | characteristic |
| 18 | C8×C197 | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | C22×C197 | — | 2 | 1 | no | — |
| 20 | C2×D197 | — | 2 | 1 | no | — |
| 21 | C2×D197 | — | 2 | 1 | no | — |
| 22 | C2×D197 | — | 4 | 2 | no | — |
| 23 | C2×D197 | D4 | 1 | 1 | yes | characteristic |
| 24 | C4×C197 | — | 2 | 1 | no | — |
| 25 | C4×C197 | C23 | 1 | 1 | yes | characteristic |
| 26 | Dic197 | D4 | 1 | 1 | yes | characteristic |
| 27 | C2×C197 | — | 4 | 1 | no | — |
| 28 | C2×C197 | C2×D4 | 1 | 1 | yes | characteristic |
| 29 | D197 | — | 2 | 1 | no | — |
| 30 | D197 | — | 4 | 1 | no | — |
| 31 | D197 | — | 4 | 1 | no | — |
| 32 | C197 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic, complemented, Sylow |
| 33 | AGL(1,ℤ/8) | — | 197 | 1 | no | maximal, Sylow |
| 34 | #41 | — | 197 | 1 | no | — |
| 35 | C2×D4 | — | 197 | 1 | no | — |
| 36 | SD16 | — | 197 | 1 | no | — |
| 37 | SD16 | D197 | 1 | 1 | yes | characteristic, complemented |
| 38 | D8 | — | 197 | 1 | no | — |
| 39 | D8 | — | 197 | 1 | no | — |
| 40 | M16 | — | 197 | 1 | no | — |
| 41 | C23 | — | 394 | 1 | no | — |
| 42 | Q8 | C2×D197 | 1 | 1 | yes | characteristic, complemented |
| 43 | D4 | — | 394 | 1 | no | — |
| 44 | D4 | — | 394 | 1 | no | — |
| 45 | D4 | — | 197 | 1 | no | — |
| 46 | D4 | — | 197 | 1 | no | — |
| 47 | D4 | C2×D197 | 1 | 1 | yes | characteristic |
| 48 | C2×C4 | — | 394 | 1 | no | — |
| 49 | C2×C4 | — | 197 | 1 | no | — |
| 50 | C8 | — | 197 | 1 | no | — |
| 51 | C8 | C2×D197 | 1 | 1 | yes | characteristic, complemented |
| 52 | C22 | — | 2 | 1 | no | — |
| 53 | C22 | — | 788 | 2 | no | — |
| 54 | C22 | — | 394 | 1 | no | — |
| 55 | C22 | — | 394 | 1 | no | — |
| 56 | C22 | — | 197 | 1 | no | — |
| 57 | C4 | — | 2 | 1 | no | — |
| 58 | C4 | — | 197 | 1 | no | — |
| 59 | C4 | C22×D197 | 1 | 1 | yes | characteristic |
| 60 | C2 | — | 4 | 1 | no | — |
| 61 | C2 | — | 788 | 1 | no | — |
| 62 | C2 | — | 788 | 1 | no | — |
| 63 | C2 | — | 394 | 1 | no | — |
| 64 | C2 | D4×D197 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta