| 1 | C52×#135 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C52×M32 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C52×#106 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C52×#41 | — | 2 | 1 | no | — |
| 5 | C52×Q16 | C4 | 1 | 1 | yes | characteristic, complemented |
| 6 | C52×SD16 | — | 2 | 1 | no | — |
| 7 | C52×D8 | C4 | 1 | 1 | yes | characteristic, complemented |
| 8 | C2×C52×C8 | C22 | 1 | 1 | yes | characteristic |
| 9 | C52×C4⋊C4 | — | 2 | 1 | no | — |
| 10 | C52×C16 | — | 2 | 1 | no | — |
| 11 | C5×#360 | C5 | 1 | 6 | yes | maximal, direct product factor |
| 12 | C52×Q8 | — | 2 | 1 | no | — |
| 13 | C52×D4 | — | 2 | 1 | no | — |
| 14 | C52×D4 | — | 4 | 1 | no | — |
| 15 | C2×C4×C52 | — | 4 | 1 | no | — |
| 16 | C2×C4×C52 | — | 4 | 1 | no | — |
| 17 | C2×C4×C52 | D4 | 1 | 1 | yes | characteristic |
| 18 | C52×C8 | C2×C4 | 1 | 1 | yes | characteristic |
| 19 | C52×C8 | D4 | 1 | 1 | yes | characteristic |
| 20 | C5×#135 | C2×C5 | 1 | 6 | yes | — |
| 21 | C5×M32 | C2×C5 | 1 | 6 | yes | complemented |
| 22 | C5×#106 | C2×C5 | 1 | 6 | yes | complemented |
| 23 | C22×C52 | — | 4 | 1 | no | — |
| 24 | C22×C52 | D8 | 1 | 1 | yes | characteristic |
| 25 | C4×C52 | — | 4 | 1 | no | — |
| 26 | C4×C52 | — | 8 | 1 | no | — |
| 27 | C4×C52 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 28 | C4×C52 | SD16 | 1 | 1 | yes | characteristic |
| 29 | C5×#41 | — | 2 | 6 | no | — |
| 30 | C5×Q16 | C4×C5 | 1 | 6 | yes | complemented |
| 31 | C5×SD16 | — | 2 | 6 | no | — |
| 32 | C5×D8 | C4×C5 | 1 | 6 | yes | complemented |
| 33 | C2×C5×C8 | C22×C5 | 1 | 6 | yes | — |
| 34 | C5×C4⋊C4 | — | 2 | 6 | no | — |
| 35 | C5×C16 | — | 2 | 6 | no | — |
| 36 | #360 | C52 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 37 | C2×C52 | — | 2 | 1 | no | — |
| 38 | C2×C52 | — | 8 | 1 | no | — |
| 39 | C2×C52 | #102 | 1 | 1 | yes | characteristic |
| 40 | C5×Q8 | — | 2 | 6 | no | — |
| 41 | C5×D4 | — | 2 | 6 | no | — |
| 42 | C5×D4 | — | 4 | 6 | no | — |
| 43 | C2×C4×C5 | — | 4 | 6 | no | — |
| 44 | C2×C4×C5 | — | 4 | 6 | no | — |
| 45 | C2×C4×C5 | C5×D4 | 1 | 6 | yes | — |
| 46 | C5×C8 | C2×C4×C5 | 1 | 6 | yes | — |
| 47 | C5×C8 | C5×D4 | 1 | 6 | yes | — |
| 48 | #135 | C2×C52 | 1 | 1 | yes | characteristic |
| 49 | M32 | C2×C52 | 1 | 1 | yes | characteristic, complemented |
| 50 | #106 | C2×C52 | 1 | 1 | yes | characteristic, complemented |
| 51 | C52 | #360 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 52 | C22×C5 | — | 4 | 6 | no | — |
| 53 | C22×C5 | C5×D8 | 1 | 6 | yes | — |
| 54 | C4×C5 | — | 4 | 6 | no | — |
| 55 | C4×C5 | — | 8 | 6 | no | — |
| 56 | C4×C5 | C5×C22⋊C4 | 1 | 6 | yes | — |
| 57 | C4×C5 | C5×SD16 | 1 | 6 | yes | — |
| 58 | #41 | — | 2 | 1 | no | — |
| 59 | Q16 | C4×C52 | 1 | 1 | yes | characteristic, complemented |
| 60 | SD16 | — | 2 | 1 | no | — |
| 61 | D8 | C4×C52 | 1 | 1 | yes | characteristic, complemented |
| 62 | C2×C8 | C22×C52 | 1 | 1 | yes | characteristic |
| 63 | C4⋊C4 | — | 2 | 1 | no | — |
| 64 | C16 | — | 2 | 1 | no | — |
| 65 | C2×C5 | — | 2 | 6 | no | — |
| 66 | C2×C5 | — | 8 | 6 | no | — |
| 67 | C2×C5 | C5×#102 | 1 | 6 | yes | — |
| 68 | Q8 | — | 2 | 1 | no | — |
| 69 | D4 | — | 2 | 1 | no | — |
| 70 | D4 | — | 4 | 1 | no | — |
| 71 | C2×C4 | — | 4 | 1 | no | — |
| 72 | C2×C4 | — | 4 | 1 | no | — |
| 73 | C2×C4 | C52×D4 | 1 | 1 | yes | characteristic |
| 74 | C8 | C2×C4×C52 | 1 | 1 | yes | characteristic |
| 75 | C8 | C52×D4 | 1 | 1 | yes | characteristic |
| 76 | C5 | C5×#360 | 1 | 6 | yes | direct product factor |
| 77 | C22 | — | 4 | 1 | no | — |
| 78 | C22 | C52×D8 | 1 | 1 | yes | characteristic |
| 79 | C4 | — | 4 | 1 | no | — |
| 80 | C4 | — | 8 | 1 | no | — |
| 81 | C4 | C52×C22⋊C4 | 1 | 1 | yes | characteristic |
| 82 | C4 | C52×SD16 | 1 | 1 | yes | characteristic |
| 83 | C2 | — | 2 | 1 | no | — |
| 84 | C2 | — | 8 | 1 | no | — |
| 85 | C2 | C52×#102 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta