| 1 | C2×C3×C13⋊(C52⋊C3) | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C3×C13×#1039 | C3 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #1039⋊(C13⋊C3) | C3 | 1 | 3 | yes | maximal, direct product factor |
| 4 | C3×C13⋊(C52⋊C3) | C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 5 | C2×C3×C52×C13 | C2×C3 | 1 | 1 | yes | characteristic |
| 6 | C2×C13⋊(C52⋊C3) | C2×C3 | 1 | 3 | yes | — |
| 7 | C13×#1039 | C32 | 1 | 1 | yes | characteristic, complemented, Hall |
| 8 | C3×C52×C13 | C3×C4 | 1 | 1 | yes | characteristic, complemented |
| 9 | C13⋊(C52⋊C3) | C3×C4 | 1 | 3 | yes | complemented |
| 10 | C3×#1039⋊C3 | — | 13 | 1 | no | maximal, Hall |
| 11 | C3×C13×Dic5 | — | 15 | 2 | no | — |
| 12 | C2×C52×C13 | C2×C32 | 1 | 1 | yes | characteristic |
| 13 | C3×C4×C13⋊C3 | — | 25 | 1 | no | maximal, Hall |
| 14 | C2×C3×C52⋊C3 | — | 13 | 1 | no | — |
| 15 | C2×C3×C5×C13 | — | 3 | 2 | no | — |
| 16 | C52×C13 | C32×C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 17 | C3×#1039 | C13⋊C3 | 1 | 1 | yes | characteristic, complemented |
| 18 | #1039⋊C3 | — | 13 | 3 | no | — |
| 19 | C13×Dic5 | — | 15 | 2 | no | — |
| 20 | C2×C3×C13⋊C3 | — | 25 | 1 | no | — |
| 21 | C3×C52⋊C3 | — | 13 | 1 | no | Hall |
| 22 | C3×C5×C13 | — | 3 | 2 | no | — |
| 23 | C3×C4×C13 | — | 25 | 1 | no | — |
| 24 | C4×C13⋊C3 | — | 25 | 3 | no | — |
| 25 | C2×C3×C52 | C2×C13⋊C3 | 1 | 1 | yes | characteristic |
| 26 | C2×C52⋊C3 | — | 13 | 3 | no | — |
| 27 | C2×C5×C13 | — | 3 | 2 | no | — |
| 28 | C3×C13⋊C3 | — | 25 | 1 | no | Hall |
| 29 | #1039 | C3×C13⋊C3 | 1 | 1 | yes | characteristic, complemented, Hall |
| 30 | C2×C3×C13 | (C5⋊D5)⋊C3 | 1 | 1 | yes | characteristic |
| 31 | C2×C13⋊C3 | — | 25 | 3 | no | — |
| 32 | C3×C52 | C4×C13⋊C3 | 1 | 1 | yes | characteristic, complemented |
| 33 | C52⋊C3 | — | 13 | 3 | no | — |
| 34 | C5×C13 | — | 3 | 2 | no | — |
| 35 | C3×Dic5 | — | 15 | 2 | no | — |
| 36 | C4×C13 | — | 25 | 1 | no | Hall |
| 37 | C2×C52 | C2×C3×C13⋊C3 | 1 | 1 | yes | characteristic |
| 38 | C3×C13 | #1039⋊C3 | 1 | 1 | yes | characteristic, complemented |
| 39 | C13⋊C3 | — | 25 | 3 | no | — |
| 40 | C32×C4 | — | 325 | 1 | no | Hall |
| 41 | C2×C3×C5 | — | 3 | 2 | no | — |
| 42 | C2×C13 | C3×(C5⋊D5)⋊C3 | 1 | 1 | yes | characteristic |
| 43 | C52 | C3×C4×C13⋊C3 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 44 | Dic5 | — | 15 | 2 | no | — |
| 45 | C2×C32 | — | 325 | 1 | no | — |
| 46 | C3×C5 | — | 3 | 2 | no | — |
| 47 | C13 | C3×#1039⋊C3 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 48 | C3×C4 | — | 25 | 1 | no | — |
| 49 | C3×C4 | — | 325 | 3 | no | — |
| 50 | C2×C5 | — | 3 | 2 | no | — |
| 51 | C32 | — | 325 | 1 | no | Sylow |
| 52 | C2×C3 | — | 325 | 3 | no | — |
| 53 | C2×C3 | (C5⋊D5)⋊(C13⋊C3) | 1 | 1 | yes | characteristic |
| 54 | C5 | — | 3 | 2 | no | — |
| 55 | C4 | — | 25 | 1 | no | Sylow |
| 56 | C3 | — | 325 | 3 | no | — |
| 57 | C3 | #1039⋊(C13⋊C3) | 1 | 1 | yes | characteristic, direct product factor |
| 58 | C2 | C3×(C5⋊D5)⋊(C13⋊C3) | 1 | 1 | yes | characteristic |
Finite Group Databasebeta