| 1 | C3×#16838473 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C3⋊(C7⋊(C7⋊#261)) | C3 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #21439597 | — | 3 | 1 | no | maximal |
| 4 | C3×#14274263 | C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 5 | C3×C72×D13 | C2×C3 | 1 | 1 | yes | characteristic |
| 6 | #16838473 | — | 2 | 1 | no | — |
| 7 | #16838473 | D3 | 1 | 1 | yes | characteristic |
| 8 | C3⋊#11763985 | — | 7 | 8 | no | maximal |
| 9 | C7⋊(C7⋊#261) | — | 3 | 1 | no | Hall |
| 10 | C3×C72×C13 | C3×C4 | 1 | 1 | yes | characteristic, complemented |
| 11 | #14274263 | — | 2 | 1 | no | — |
| 12 | #14274263 | Dic3 | 1 | 1 | yes | characteristic, complemented |
| 13 | C3⋊#10596874 | — | 13 | 1 | no | maximal, Hall |
| 14 | C3×#10587716 | — | 7 | 8 | no | — |
| 15 | C72×D13 | C3×D3 | 1 | 1 | yes | characteristic |
| 16 | C3⋊(C7⋊#261) | — | 7 | 8 | no | — |
| 17 | #11763985 | — | 21 | 8 | no | — |
| 18 | C2×C3×#3861 | — | 13 | 1 | no | — |
| 19 | C3×#63270 | — | 7 | 8 | no | — |
| 20 | C72×C13 | C3×Dic3 | 1 | 1 | yes | characteristic, complemented, Hall |
| 21 | C3⋊(C7⋊Dic7) | — | 13 | 1 | no | — |
| 22 | #10596874 | — | 39 | 1 | no | — |
| 23 | C3×C7×D13 | AGL(1,𝔽7) | 1 | 8 | yes | — |
| 24 | #10587716 | — | 7 | 8 | no | — |
| 25 | #10587716 | — | 14 | 8 | no | — |
| 26 | C3⋊AGL(1,𝔽13) | — | 49 | 1 | no | Hall |
| 27 | C3×#3861 | — | 13 | 1 | no | Hall |
| 28 | C7⋊#261 | — | 21 | 8 | no | — |
| 29 | C2×C3×C72 | — | 13 | 1 | no | — |
| 30 | C2×#3861 | — | 13 | 1 | no | — |
| 31 | C2×#3861 | — | 26 | 1 | no | — |
| 32 | C3×C7×C13 | ΓL(1,𝔽8)⋊C4 | 1 | 8 | yes | complemented |
| 33 | #63270 | — | 7 | 8 | no | — |
| 34 | #63270 | — | 14 | 8 | no | — |
| 35 | C3⋊(ΓL(1,𝔽8)⋊C4) | — | 91 | 8 | no | — |
| 36 | C3×D13⋊C3 | — | 49 | 1 | no | — |
| 37 | C7⋊Dic7 | — | 39 | 1 | no | Hall |
| 38 | C7×D13 | C3⋊AGL(1,𝔽7) | 1 | 8 | yes | — |
| 39 | C3⋊#261 | — | 49 | 1 | no | — |
| 40 | AGL(1,𝔽13) | — | 147 | 1 | no | — |
| 41 | C3×C72 | AGL(1,𝔽13) | 1 | 1 | yes | characteristic, complemented |
| 42 | #3861 | — | 13 | 1 | no | — |
| 43 | #3861 | — | 26 | 1 | no | — |
| 44 | C2×C3×ΓL(1,𝔽8) | — | 91 | 8 | no | — |
| 45 | C3×C13⋊C3 | — | 49 | 1 | no | Hall |
| 46 | C2×C72 | — | 13 | 1 | no | — |
| 47 | C7×C13 | C3⋊(ΓL(1,𝔽8)⋊C4) | 1 | 8 | yes | complemented |
| 48 | Dic21 | — | 91 | 8 | no | — |
| 49 | ΓL(1,𝔽8)⋊C4 | — | 273 | 8 | no | — |
| 50 | C3×D13 | #64424 | 1 | 1 | yes | characteristic |
| 51 | D13⋊C3 | — | 49 | 1 | no | — |
| 52 | D13⋊C3 | — | 98 | 1 | no | — |
| 53 | C3×ΓL(1,𝔽8) | — | 91 | 8 | no | — |
| 54 | #261 | — | 147 | 1 | no | Hall |
| 55 | C72 | C3⋊AGL(1,𝔽13) | 1 | 1 | yes | characteristic, complemented, Sylow |
| 56 | C2×C3×C7 | — | 13 | 8 | no | — |
| 57 | C2×ΓL(1,𝔽8) | — | 91 | 8 | no | — |
| 58 | C2×ΓL(1,𝔽8) | — | 182 | 8 | no | — |
| 59 | C3×C13 | #10596874 | 1 | 1 | yes | characteristic, complemented |
| 60 | C13⋊C3 | — | 49 | 1 | no | — |
| 61 | C13⋊C3 | — | 98 | 1 | no | — |
| 62 | C3×Dic3 | — | 637 | 1 | no | Hall |
| 63 | Dic7 | — | 273 | 8 | no | — |
| 64 | D13 | C3⋊#64424 | 1 | 1 | yes | characteristic |
| 65 | C3×C7 | #11763985 | 1 | 8 | yes | complemented |
| 66 | ΓL(1,𝔽8) | — | 91 | 8 | no | — |
| 67 | ΓL(1,𝔽8) | — | 182 | 8 | no | — |
| 68 | C2×C32 | — | 637 | 1 | no | — |
| 69 | C2×C7 | — | 13 | 8 | no | — |
| 70 | C13 | C3⋊#10596874 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 71 | C3×C4 | — | 1911 | 1 | no | — |
| 72 | Dic3 | — | 637 | 1 | no | — |
| 73 | C32 | — | 637 | 1 | no | Sylow |
| 74 | C7 | C3⋊#11763985 | 1 | 8 | yes | complemented |
| 75 | C2×C3 | — | 13 | 1 | no | — |
| 76 | C2×C3 | — | 637 | 1 | no | — |
| 77 | C2×C3 | — | 1274 | 1 | no | — |
| 78 | C4 | — | 1911 | 1 | no | Sylow |
| 79 | C3 | — | 637 | 1 | no | — |
| 80 | C3 | — | 1274 | 1 | no | — |
| 81 | C3 | #21439597 | 1 | 1 | yes | characteristic, complemented |
| 82 | C2 | — | 13 | 1 | no | — |
Finite Group Databasebeta