| 1 | C3×C13×#41 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C3×C4×Dic13 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×#6099 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #88077 | C3 | 1 | 1 | yes | maximal, characteristic, direct product factor, Hall |
| 5 | C3×Q8×C13 | C4 | 1 | 1 | yes | characteristic, complemented |
| 6 | C3×D4×C13 | — | 2 | 1 | no | — |
| 7 | C3×D4×C13 | C4 | 1 | 1 | yes | characteristic, complemented |
| 8 | C2×C3×C4×C13 | — | 2 | 1 | no | — |
| 9 | C2×C3×C4×C13 | C22 | 1 | 1 | yes | characteristic |
| 10 | C2×C3×Dic13 | — | 2 | 1 | no | — |
| 11 | C3×#1055 | — | 2 | 1 | no | — |
| 12 | C13×#41 | C2×C3 | 1 | 1 | yes | characteristic |
| 13 | C4×Dic13 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 14 | #6099 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 15 | C22×C3×C13 | — | 2 | 1 | no | — |
| 16 | C22×C3×C13 | D4 | 1 | 1 | yes | characteristic |
| 17 | C3×C4×C13 | — | 2 | 1 | no | — |
| 18 | C3×C4×C13 | C2×C4 | 1 | 1 | yes | characteristic |
| 19 | C3×C4×C13 | D4 | 1 | 1 | yes | characteristic |
| 20 | C3×Dic13 | — | 2 | 2 | no | — |
| 21 | Q8×C13 | C3×C4 | 1 | 1 | yes | characteristic, complemented |
| 22 | D4×C13 | — | 2 | 1 | no | — |
| 23 | D4×C13 | C3×C4 | 1 | 1 | yes | characteristic, complemented |
| 24 | C2×C4×C13 | — | 2 | 1 | no | — |
| 25 | C2×C4×C13 | C22×C3 | 1 | 1 | yes | characteristic |
| 26 | C2×Dic13 | — | 2 | 1 | no | — |
| 27 | #1055 | — | 2 | 1 | no | — |
| 28 | C3×#104 | — | 13 | 1 | no | maximal, Hall |
| 29 | C2×C3×C13 | — | 2 | 1 | no | — |
| 30 | C2×C3×C13 | — | 4 | 1 | no | — |
| 31 | C2×C3×C13 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 32 | C22×C13 | — | 2 | 1 | no | — |
| 33 | C22×C13 | C3×D4 | 1 | 1 | yes | characteristic |
| 34 | C4×C13 | — | 2 | 1 | no | — |
| 35 | C4×C13 | C2×C3×C4 | 1 | 1 | yes | characteristic |
| 36 | C4×C13 | C3×D4 | 1 | 1 | yes | characteristic |
| 37 | Dic13 | — | 2 | 2 | no | — |
| 38 | C3×#41 | D13 | 1 | 1 | yes | characteristic |
| 39 | C3×M16 | — | 13 | 1 | no | — |
| 40 | C3×C42 | — | 13 | 1 | no | — |
| 41 | C3×C13 | #104 | 1 | 1 | yes | characteristic, complemented, Hall |
| 42 | #104 | — | 13 | 1 | no | Sylow |
| 43 | C2×C13 | — | 2 | 1 | no | — |
| 44 | C2×C13 | — | 4 | 1 | no | — |
| 45 | C2×C13 | C3×C22⋊C4 | 1 | 1 | yes | characteristic |
| 46 | C3×Q8 | Dic13 | 1 | 1 | yes | characteristic, complemented |
| 47 | C3×D4 | — | 2 | 1 | no | — |
| 48 | C3×D4 | Dic13 | 1 | 1 | yes | characteristic, complemented |
| 49 | C2×C3×C4 | — | 2 | 1 | no | — |
| 50 | C2×C3×C4 | — | 26 | 1 | no | — |
| 51 | C2×C3×C4 | C2×D13 | 1 | 1 | yes | characteristic |
| 52 | C3×C8 | — | 26 | 1 | no | — |
| 53 | #41 | C3×D13 | 1 | 1 | yes | characteristic |
| 54 | M16 | — | 13 | 1 | no | — |
| 55 | C42 | — | 13 | 1 | no | — |
| 56 | C13 | C3×#104 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 57 | C22×C3 | — | 2 | 1 | no | — |
| 58 | C22×C3 | C22⋊D13 | 1 | 1 | yes | characteristic |
| 59 | C3×C4 | — | 2 | 1 | no | — |
| 60 | C3×C4 | — | 26 | 2 | no | — |
| 61 | C3×C4 | C2×Dic13 | 1 | 1 | yes | characteristic |
| 62 | C3×C4 | C22⋊D13 | 1 | 1 | yes | characteristic |
| 63 | Q8 | C3×Dic13 | 1 | 1 | yes | characteristic, complemented |
| 64 | D4 | — | 2 | 1 | no | — |
| 65 | D4 | C3×Dic13 | 1 | 1 | yes | characteristic, complemented |
| 66 | C2×C4 | — | 2 | 1 | no | — |
| 67 | C2×C4 | — | 26 | 1 | no | — |
| 68 | C2×C4 | C2×C3×D13 | 1 | 1 | yes | characteristic |
| 69 | C8 | — | 26 | 1 | no | — |
| 70 | C2×C3 | — | 2 | 1 | no | — |
| 71 | C2×C3 | — | 4 | 1 | no | — |
| 72 | C2×C3 | C22⋊Dic13 | 1 | 1 | yes | characteristic |
| 73 | C22 | — | 2 | 1 | no | — |
| 74 | C22 | C3×C22⋊D13 | 1 | 1 | yes | characteristic |
| 75 | C4 | — | 2 | 1 | no | — |
| 76 | C4 | — | 26 | 2 | no | — |
| 77 | C4 | C2×C3×Dic13 | 1 | 1 | yes | characteristic |
| 78 | C4 | C3×C22⋊D13 | 1 | 1 | yes | characteristic |
| 79 | C3 | #88077 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 80 | C2 | — | 2 | 1 | no | — |
| 81 | C2 | — | 4 | 1 | no | — |
| 82 | C2 | C3×C22⋊Dic13 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta