| 1 | C13⋊C3×#64425 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C13⋊C3×#5997 | — | 3 | 1 | no | maximal |
| 3 | C13×#10596885 | C3 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C13⋊C3×#3862 | C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 5 | C13⋊C3×C7⋊D7 | D3 | 1 | 1 | yes | characteristic |
| 6 | #16838453 | — | 2 | 1 | no | — |
| 7 | C13×#64425 | C2×C3 | 1 | 1 | yes | characteristic |
| 8 | C13×#5997 | — | 3 | 1 | no | Hall |
| 9 | C13⋊#3862 | — | 2 | 1 | no | — |
| 10 | C13×#3862 | C3×C4 | 1 | 1 | yes | characteristic, complemented |
| 11 | C72×C13⋊C3 | Dic3 | 1 | 1 | yes | characteristic, complemented |
| 12 | C3×#10596885 | — | 13 | 1 | no | maximal, Hall |
| 13 | C13⋊C3×AGL(1,𝔽7) | — | 14 | 1 | no | — |
| 14 | C13×C7⋊D7 | C3×D3 | 1 | 1 | yes | characteristic |
| 15 | C3×#64425 | — | 13 | 1 | no | — |
| 16 | ΓL(1,𝔽8)×C13⋊C3 | — | 28 | 1 | no | — |
| 17 | C72×C13 | C3×Dic3 | 1 | 1 | yes | characteristic, complemented, Hall |
| 18 | C3×#5997 | — | 39 | 1 | no | — |
| 19 | #10596885 | C13⋊C3 | 1 | 1 | yes | characteristic, direct product factor |
| 20 | #10587721 | — | 14 | 1 | no | — |
| 21 | #10587720 | — | 14 | 1 | no | — |
| 22 | C13×AGL(1,𝔽7) | — | 14 | 1 | no | — |
| 23 | D7×C13⋊C3 | — | 14 | 1 | no | — |
| 24 | D7×C13⋊C3 | — | 42 | 1 | no | — |
| 25 | Dic3×C13⋊C3 | — | 49 | 1 | no | maximal, Hall |
| 26 | C3×#3862 | — | 13 | 1 | no | Hall |
| 27 | C3×C7⋊D7 | — | 13 | 1 | no | — |
| 28 | #64425 | — | 26 | 1 | no | — |
| 29 | #64425 | C2×C13⋊C3 | 1 | 1 | yes | characteristic |
| 30 | #63271 | — | 28 | 1 | no | — |
| 31 | #63270 | — | 28 | 1 | no | — |
| 32 | C7×C13⋊C3 | — | 2 | 1 | no | — |
| 33 | C7×C13⋊C3 | — | 6 | 1 | no | — |
| 34 | C13×ΓL(1,𝔽8) | — | 14 | 1 | no | — |
| 35 | C2×C3×C13⋊C3 | — | 49 | 1 | no | — |
| 36 | #5997 | — | 3 | 1 | no | Hall |
| 37 | C13×D7 | — | 14 | 1 | no | — |
| 38 | C13×D7 | — | 42 | 1 | no | — |
| 39 | Dic3×C13 | — | 49 | 1 | no | — |
| 40 | C4×C13⋊C3 | — | 147 | 1 | no | — |
| 41 | C3×C72 | — | 13 | 1 | no | — |
| 42 | #3862 | — | 26 | 1 | no | — |
| 43 | #3862 | C4×C13⋊C3 | 1 | 1 | yes | characteristic, complemented |
| 44 | C3×AGL(1,𝔽7) | — | 182 | 1 | no | — |
| 45 | C3×C13⋊C3 | — | 196 | 1 | no | Hall |
| 46 | C7⋊D7 | D3×C13⋊C3 | 1 | 1 | yes | characteristic |
| 47 | C7×C13 | — | 2 | 1 | no | — |
| 48 | C7×C13 | — | 6 | 1 | no | — |
| 49 | C2×C3×C13 | — | 49 | 1 | no | — |
| 50 | C2×C13⋊C3 | — | 49 | 1 | no | — |
| 51 | C2×C13⋊C3 | — | 98 | 1 | no | — |
| 52 | C3×ΓL(1,𝔽8) | — | 364 | 1 | no | — |
| 53 | C4×C13 | — | 147 | 1 | no | Hall |
| 54 | C72 | Dic3×C13⋊C3 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 55 | C3×D7 | — | 546 | 1 | no | — |
| 56 | C3×D7 | — | 182 | 1 | no | — |
| 57 | AGL(1,𝔽7) | — | 14 | 1 | no | — |
| 58 | AGL(1,𝔽7) | — | 182 | 1 | no | — |
| 59 | AGL(1,𝔽7) | — | 182 | 1 | no | — |
| 60 | C3×C13 | — | 196 | 1 | no | — |
| 61 | C13⋊C3 | — | 196 | 1 | no | — |
| 62 | C13⋊C3 | #10596885 | 1 | 1 | yes | characteristic, direct product factor |
| 63 | C3×Dic3 | — | 637 | 1 | no | Hall |
| 64 | C2×C13 | — | 49 | 1 | no | — |
| 65 | C3×C7 | — | 26 | 1 | no | — |
| 66 | C3×C7 | — | 78 | 1 | no | — |
| 67 | ΓL(1,𝔽8) | — | 28 | 1 | no | — |
| 68 | ΓL(1,𝔽8) | — | 364 | 1 | no | — |
| 69 | ΓL(1,𝔽8) | — | 364 | 1 | no | — |
| 70 | C2×C32 | — | 637 | 1 | no | — |
| 71 | D7 | — | 14 | 1 | no | — |
| 72 | D7 | — | 42 | 1 | no | — |
| 73 | C13 | C3×#10596885 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 74 | C3×C4 | — | 1911 | 1 | no | — |
| 75 | Dic3 | — | 49 | 1 | no | — |
| 76 | C32 | — | 2548 | 1 | no | Sylow |
| 77 | C7 | — | 2 | 1 | no | — |
| 78 | C7 | — | 6 | 1 | no | — |
| 79 | C2×C3 | — | 49 | 1 | no | — |
| 80 | C2×C3 | — | 637 | 1 | no | — |
| 81 | C2×C3 | — | 1274 | 1 | no | — |
| 82 | C4 | — | 147 | 1 | no | Sylow |
| 83 | C3 | — | 13 | 1 | no | — |
| 84 | C3 | — | 196 | 1 | no | — |
| 85 | C3 | — | 2548 | 1 | no | — |
| 86 | C2 | — | 49 | 1 | no | — |
Finite Group Databasebeta