| 1 | C2×Q8⋊(C13⋊C3) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | D13⋊SL(2,𝔽3) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10597713 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #88254 | C3 | 1 | 1 | yes | maximal, characteristic, complemented, Hall |
| 5 | Q8⋊(C13⋊C3) | C22 | 1 | 1 | yes | characteristic |
| 6 | (C22⋊D13)⋊C3 | — | 4 | 1 | no | maximal |
| 7 | C2×Q8×C13 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 8 | #6131 | — | 3 | 1 | no | — |
| 9 | #6131 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 10 | Q8×D13 | — | 3 | 1 | no | — |
| 11 | Q8×D13 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 12 | #6127 | — | 3 | 1 | no | — |
| 13 | #6127 | — | 3 | 1 | no | — |
| 14 | C22×C13⋊C3 | — | 4 | 1 | no | — |
| 15 | C2×D13⋊C3 | — | 4 | 1 | no | — |
| 16 | Dic13⋊C3 | — | 4 | 1 | no | — |
| 17 | Q8×C13 | — | 3 | 1 | no | — |
| 18 | Q8×C13 | C22×C3 | 1 | 1 | yes | characteristic |
| 19 | C2×C4×C13 | — | 3 | 1 | no | — |
| 20 | C22⋊D13 | — | 3 | 1 | no | — |
| 21 | C22⋊D13 | A4 | 1 | 1 | yes | characteristic |
| 22 | D52 | — | 3 | 1 | no | — |
| 23 | D52 | — | 3 | 1 | no | — |
| 24 | C4×D13 | — | 3 | 2 | no | — |
| 25 | C4×D13 | — | 3 | 1 | no | — |
| 26 | C4×D13 | — | 3 | 1 | no | — |
| 27 | Dic26 | — | 3 | 1 | no | — |
| 28 | Dic26 | — | 3 | 1 | no | — |
| 29 | 2−1+4⋊C3 | — | 13 | 1 | no | maximal, Hall |
| 30 | C2×C13⋊C3 | — | 4 | 1 | no | — |
| 31 | C2×C13⋊C3 | — | 8 | 1 | no | — |
| 32 | D13⋊C3 | — | 8 | 1 | no | — |
| 33 | C22×C13 | C2×A4 | 1 | 1 | yes | characteristic |
| 34 | C2×D13 | — | 3 | 1 | no | — |
| 35 | C2×D13 | C2×A4 | 1 | 1 | yes | characteristic |
| 36 | C4×C13 | — | 3 | 1 | no | — |
| 37 | C4×C13 | — | 3 | 1 | no | — |
| 38 | Dic13 | — | 3 | 1 | no | — |
| 39 | Dic13 | C2×A4 | 1 | 1 | yes | characteristic |
| 40 | #41⋊C3 | — | 13 | 1 | no | — |
| 41 | C2×SL(2,𝔽3) | — | 13 | 1 | no | — |
| 42 | C2×SL(2,𝔽3) | — | 13 | 1 | no | — |
| 43 | C13⋊C3 | — | 4 | 1 | no | Hall |
| 44 | 2−1+4 | — | 13 | 1 | no | Sylow |
| 45 | C2×C13 | — | 2 | 1 | no | — |
| 46 | C2×C13 | C22×A4 | 1 | 1 | yes | characteristic |
| 47 | D13 | — | 2 | 1 | no | — |
| 48 | D13 | — | 6 | 1 | no | — |
| 49 | C3×D4 | — | 52 | 1 | no | — |
| 50 | SL(2,𝔽3) | — | 13 | 1 | no | — |
| 51 | #41 | — | 13 | 1 | no | — |
| 52 | #41 | — | 39 | 1 | no | — |
| 53 | #41 | — | 39 | 1 | no | — |
| 54 | #41 | — | 39 | 1 | no | — |
| 55 | C2×Q8 | — | 13 | 1 | no | — |
| 56 | C2×Q8 | — | 39 | 1 | no | — |
| 57 | C2×Q8 | D13⋊C3 | 1 | 1 | yes | characteristic, complemented |
| 58 | C13 | 2−1+4⋊C3 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 59 | C22×C3 | — | 52 | 1 | no | — |
| 60 | C22×C3 | — | 52 | 1 | no | — |
| 61 | C3×C4 | — | 52 | 1 | no | — |
| 62 | Q8 | — | 3 | 1 | no | — |
| 63 | Q8 | — | 39 | 1 | no | — |
| 64 | Q8 | — | 39 | 1 | no | — |
| 65 | Q8 | C2×D13⋊C3 | 1 | 1 | yes | characteristic |
| 66 | D4 | — | 13 | 1 | no | — |
| 67 | D4 | — | 39 | 1 | no | — |
| 68 | D4 | — | 39 | 1 | no | — |
| 69 | D4 | — | 39 | 1 | no | — |
| 70 | C2×C4 | — | 3 | 1 | no | — |
| 71 | C2×C4 | — | 39 | 1 | no | — |
| 72 | C2×C4 | — | 39 | 1 | no | — |
| 73 | C2×C4 | — | 39 | 2 | no | — |
| 74 | C2×C3 | — | 52 | 1 | no | — |
| 75 | C2×C3 | — | 104 | 1 | no | — |
| 76 | C2×C3 | — | 104 | 1 | no | — |
| 77 | C22 | — | 13 | 1 | no | — |
| 78 | C22 | — | 39 | 1 | no | — |
| 79 | C22 | D13⋊A4 | 1 | 1 | yes | characteristic |
| 80 | C4 | — | 3 | 1 | no | — |
| 81 | C4 | — | 3 | 1 | no | — |
| 82 | C4 | — | 13 | 1 | no | — |
| 83 | C4 | — | 39 | 1 | no | — |
| 84 | C3 | — | 52 | 1 | no | Sylow |
| 85 | C2 | — | 2 | 1 | no | — |
| 86 | C2 | — | 26 | 1 | no | — |
| 87 | C2 | — | 78 | 1 | no | — |
| 88 | C2 | C2×D13⋊A4 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta