| 1 | C2×C3×#14274254 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C13×Dic147 | C3 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #21439441 | — | 3 | 1 | no | maximal |
| 4 | C3×#14274254 | C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 5 | C2×#14274254 | — | 2 | 1 | no | — |
| 6 | C2×#14274254 | D3 | 1 | 1 | yes | characteristic |
| 7 | C2×C3×C13×C49 | C2×C3 | 1 | 1 | yes | characteristic |
| 8 | C3⋊#11763961 | — | 7 | 1 | no | maximal |
| 9 | C13×Dic49 | — | 3 | 1 | no | Hall |
| 10 | C3×C13×C49 | C3×C4 | 1 | 1 | yes | characteristic, complemented |
| 11 | #14274254 | — | 2 | 1 | no | — |
| 12 | #14274254 | Dic3 | 1 | 1 | yes | characteristic, complemented |
| 13 | C3⋊((C49⋊C3)⋊C4) | — | 13 | 1 | no | maximal, Hall |
| 14 | C2×C3×#63270 | — | 14 | 1 | no | — |
| 15 | C2×C13×C49 | C3×D3 | 1 | 1 | yes | characteristic |
| 16 | C13×Dic21 | — | 7 | 1 | no | — |
| 17 | #11763961 | — | 21 | 1 | no | — |
| 18 | C2×C3×C49⋊C3 | — | 13 | 1 | no | — |
| 19 | C3×#63270 | — | 14 | 1 | no | — |
| 20 | C13×C49 | C3×Dic3 | 1 | 1 | yes | characteristic, complemented, Hall |
| 21 | Dic147 | C13⋊C3 | 1 | 1 | yes | characteristic, complemented |
| 22 | (C49⋊C3)⋊C4 | — | 39 | 1 | no | — |
| 23 | C2×C3×C7×C13 | AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 24 | C2×#63270 | — | 7 | 1 | no | — |
| 25 | C2×#63270 | — | 14 | 1 | no | — |
| 26 | Dic3×C13⋊C3 | — | 49 | 1 | no | Hall |
| 27 | C3×C49⋊C3 | — | 13 | 1 | no | Hall |
| 28 | C13×Dic7 | — | 21 | 1 | no | — |
| 29 | C2×C3×C49 | C2×C13⋊C3 | 1 | 1 | yes | characteristic |
| 30 | C2×C49⋊C3 | — | 13 | 1 | no | — |
| 31 | C2×C49⋊C3 | — | 26 | 1 | no | — |
| 32 | C3×C7×C13 | ΓL(1,𝔽8)⋊C4 | 1 | 1 | yes | characteristic |
| 33 | #63270 | — | 7 | 1 | no | — |
| 34 | #63270 | — | 14 | 1 | no | — |
| 35 | C3⋊(ΓL(1,𝔽8)⋊C4) | — | 91 | 1 | no | — |
| 36 | C2×C3×C13⋊C3 | — | 49 | 1 | no | — |
| 37 | Dic49 | — | 3 | 1 | no | Hall |
| 38 | C2×C7×C13 | C3⋊AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 39 | Dic3×C13 | — | 49 | 1 | no | — |
| 40 | C4×C13⋊C3 | — | 147 | 1 | no | — |
| 41 | C3×C49 | C4×C13⋊C3 | 1 | 1 | yes | characteristic, complemented |
| 42 | C49⋊C3 | — | 13 | 1 | no | — |
| 43 | C49⋊C3 | — | 26 | 1 | no | — |
| 44 | C2×C3×ΓL(1,𝔽8) | — | 182 | 1 | no | — |
| 45 | C3×C13⋊C3 | — | 49 | 1 | no | Hall |
| 46 | C2×C49 | D3×C13⋊C3 | 1 | 1 | yes | characteristic |
| 47 | C7×C13 | C3⋊(ΓL(1,𝔽8)⋊C4) | 1 | 1 | yes | characteristic |
| 48 | Dic21 | — | 7 | 1 | no | — |
| 49 | ΓL(1,𝔽8)⋊C4 | — | 273 | 1 | no | — |
| 50 | C2×C3×C13 | D49⋊C3 | 1 | 1 | yes | characteristic |
| 51 | C2×C13⋊C3 | — | 98 | 1 | no | — |
| 52 | C2×C13⋊C3 | — | 98 | 1 | no | — |
| 53 | C3×ΓL(1,𝔽8) | — | 182 | 1 | no | — |
| 54 | C4×C13 | — | 147 | 1 | no | Hall |
| 55 | C49 | Dic3×C13⋊C3 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 56 | C2×C3×C7 | #10587720 | 1 | 1 | yes | characteristic |
| 57 | C2×ΓL(1,𝔽8) | — | 182 | 1 | no | — |
| 58 | C2×ΓL(1,𝔽8) | — | 182 | 1 | no | — |
| 59 | C3×C13 | (C49⋊C3)⋊C4 | 1 | 1 | yes | characteristic, complemented |
| 60 | C13⋊C3 | — | 98 | 1 | no | — |
| 61 | C13⋊C3 | — | 98 | 1 | no | — |
| 62 | C3×Dic3 | — | 637 | 1 | no | Hall |
| 63 | Dic7 | — | 21 | 1 | no | — |
| 64 | C2×C13 | C3⋊(D49⋊C3) | 1 | 1 | yes | characteristic |
| 65 | C3×C7 | #11763961 | 1 | 1 | yes | characteristic |
| 66 | ΓL(1,𝔽8) | — | 182 | 1 | no | — |
| 67 | ΓL(1,𝔽8) | — | 182 | 1 | no | — |
| 68 | C2×C32 | — | 1274 | 1 | no | — |
| 69 | C2×C7 | C3⋊#10587720 | 1 | 1 | yes | characteristic |
| 70 | C13 | C3⋊((C49⋊C3)⋊C4) | 1 | 1 | yes | characteristic, complemented, Sylow |
| 71 | C3×C4 | — | 1911 | 1 | no | — |
| 72 | Dic3 | — | 49 | 1 | no | — |
| 73 | C32 | — | 1274 | 1 | no | Sylow |
| 74 | C7 | C3⋊#11763961 | 1 | 1 | yes | characteristic |
| 75 | C2×C3 | — | 1274 | 1 | no | — |
| 76 | C2×C3 | — | 1274 | 1 | no | — |
| 77 | C2×C3 | #16838417 | 1 | 1 | yes | characteristic |
| 78 | C4 | — | 147 | 1 | no | Sylow |
| 79 | C3 | — | 1274 | 1 | no | — |
| 80 | C3 | — | 1274 | 1 | no | — |
| 81 | C3 | #21439441 | 1 | 1 | yes | characteristic, complemented |
| 82 | C2 | C3⋊#16838417 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta