| 1 | C3×#16838449 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C3⋊#14579331 | C3 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #21439680 | — | 3 | 1 | no | maximal |
| 4 | C3×#14274262 | C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 5 | C3×C13×C7⋊D7 | C2×C3 | 1 | 1 | yes | characteristic |
| 6 | #16838449 | — | 2 | 1 | no | — |
| 7 | #16838449 | D3 | 1 | 1 | yes | characteristic |
| 8 | #14579331 | — | 3 | 1 | no | Hall |
| 9 | C3×C72×C13 | C3×C4 | 1 | 1 | yes | characteristic, complemented |
| 10 | #14274262 | — | 2 | 1 | no | — |
| 11 | #14274262 | Dic3 | 1 | 1 | yes | characteristic, complemented |
| 12 | C3⋊(#5997⋊C3) | — | 13 | 1 | no | maximal, Hall |
| 13 | C3×#10587721 | — | 14 | 4 | no | — |
| 14 | C13×C7⋊D7 | C3×D3 | 1 | 1 | yes | characteristic |
| 15 | C3×#64424 | — | 13 | 1 | no | — |
| 16 | C3×#63271 | — | 14 | 4 | no | — |
| 17 | C72×C13 | C3×Dic3 | 1 | 1 | yes | characteristic, complemented, Hall |
| 18 | C3⋊#5997 | — | 13 | 1 | no | — |
| 19 | #5997⋊C3 | — | 39 | 1 | no | — |
| 20 | C3×C13×D7 | — | 14 | 4 | no | — |
| 21 | #10587721 | — | 14 | 4 | no | — |
| 22 | #10587721 | — | 14 | 8 | no | — |
| 23 | C3⋊(Dic13⋊C3) | — | 49 | 1 | no | maximal, Hall |
| 24 | C3×#3861 | — | 13 | 1 | no | Hall |
| 25 | C3×C7⋊D7 | D13⋊C3 | 1 | 1 | yes | characteristic |
| 26 | #64424 | — | 13 | 1 | no | — |
| 27 | #64424 | — | 26 | 1 | no | — |
| 28 | C3×C7×C13 | — | 2 | 4 | no | — |
| 29 | #63271 | — | 14 | 4 | no | — |
| 30 | #63271 | — | 14 | 8 | no | — |
| 31 | C2×C3×C13⋊C3 | — | 49 | 1 | no | — |
| 32 | #5997 | — | 39 | 1 | no | Hall |
| 33 | C13×D7 | — | 14 | 4 | no | — |
| 34 | Dic39 | — | 49 | 1 | no | — |
| 35 | Dic13⋊C3 | — | 147 | 1 | no | — |
| 36 | C3×C72 | Dic13⋊C3 | 1 | 1 | yes | characteristic, complemented |
| 37 | #3861 | — | 13 | 1 | no | — |
| 38 | #3861 | — | 26 | 1 | no | — |
| 39 | C3×AGL(1,𝔽7) | — | 182 | 4 | no | — |
| 40 | C3×C13⋊C3 | — | 49 | 1 | no | Hall |
| 41 | C7⋊D7 | C3⋊(D13⋊C3) | 1 | 1 | yes | characteristic |
| 42 | C7×C13 | — | 2 | 4 | no | — |
| 43 | C2×C3×C13 | — | 49 | 1 | no | — |
| 44 | C2×C13⋊C3 | — | 49 | 1 | no | — |
| 45 | C2×C13⋊C3 | — | 98 | 1 | no | — |
| 46 | C3×ΓL(1,𝔽8) | — | 182 | 4 | no | — |
| 47 | Dic13 | — | 147 | 1 | no | Hall |
| 48 | C72 | C3⋊(Dic13⋊C3) | 1 | 1 | yes | characteristic, complemented, Sylow |
| 49 | C3×D7 | — | 14 | 4 | no | — |
| 50 | AGL(1,𝔽7) | — | 182 | 4 | no | — |
| 51 | AGL(1,𝔽7) | — | 182 | 8 | no | — |
| 52 | C3×C13 | #5997⋊C3 | 1 | 1 | yes | characteristic, complemented |
| 53 | C13⋊C3 | — | 49 | 1 | no | — |
| 54 | C13⋊C3 | — | 98 | 1 | no | — |
| 55 | C3×Dic3 | — | 637 | 1 | no | Hall |
| 56 | C2×C13 | — | 49 | 1 | no | — |
| 57 | C3×C7 | — | 2 | 4 | no | — |
| 58 | ΓL(1,𝔽8) | — | 182 | 4 | no | — |
| 59 | ΓL(1,𝔽8) | — | 182 | 8 | no | — |
| 60 | C2×C32 | — | 637 | 1 | no | — |
| 61 | D7 | — | 14 | 4 | no | — |
| 62 | C13 | C3⋊(#5997⋊C3) | 1 | 1 | yes | characteristic, complemented, Sylow |
| 63 | C3×C4 | — | 1911 | 1 | no | — |
| 64 | Dic3 | — | 637 | 1 | no | — |
| 65 | C32 | — | 637 | 1 | no | Sylow |
| 66 | C7 | — | 2 | 4 | no | — |
| 67 | C2×C3 | — | 49 | 1 | no | — |
| 68 | C2×C3 | — | 637 | 1 | no | — |
| 69 | C2×C3 | — | 1274 | 1 | no | — |
| 70 | C4 | — | 1911 | 1 | no | Sylow |
| 71 | C3 | — | 637 | 1 | no | — |
| 72 | C3 | — | 1274 | 1 | no | — |
| 73 | C3 | #21439680 | 1 | 1 | yes | characteristic, complemented |
| 74 | C2 | — | 49 | 1 | no | — |
Finite Group Databasebeta