| 1 | C2×C3×#14274262 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C3×C7⋊Dic91 | C3 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #21439523 | C3 | 1 | 3 | yes | maximal, direct product factor |
| 4 | C3×#14274262 | C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 5 | C2×#14274262 | C2×C3 | 1 | 3 | yes | — |
| 6 | C2×C3×C72×C13 | C2×C3 | 1 | 1 | yes | characteristic |
| 7 | C3×#11763964 | — | 7 | 1 | no | maximal |
| 8 | C3×#11763964 | — | 7 | 7 | no | maximal |
| 9 | C7⋊Dic91 | C32 | 1 | 1 | yes | characteristic, complemented, Hall |
| 10 | C3×C72×C13 | C3×C4 | 1 | 1 | yes | characteristic, complemented |
| 11 | #14274262 | C3×C4 | 1 | 3 | yes | complemented |
| 12 | C3×#10596874 | — | 13 | 1 | no | maximal, Hall |
| 13 | C2×C3×#63271 | — | 7 | 1 | no | — |
| 14 | C2×C3×#63271 | — | 7 | 7 | no | — |
| 15 | C2×C72×C13 | C2×C32 | 1 | 1 | yes | characteristic |
| 16 | C3×Dic91 | — | 7 | 1 | no | — |
| 17 | C3×Dic91 | — | 21 | 7 | no | — |
| 18 | #11763964 | — | 7 | 3 | no | — |
| 19 | #11763964 | — | 7 | 21 | no | — |
| 20 | C2×C3×#3861 | — | 13 | 1 | no | — |
| 21 | C3×#63271 | — | 7 | 1 | no | — |
| 22 | C3×#63271 | — | 7 | 7 | no | — |
| 23 | C72×C13 | C32×C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 24 | C3×C7⋊Dic7 | — | 39 | 1 | no | — |
| 25 | #10596874 | — | 13 | 3 | no | — |
| 26 | C2×C3×C7×C13 | AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 27 | C2×C3×C7×C13 | AGL(1,𝔽7) | 1 | 7 | yes | — |
| 28 | C2×#63271 | — | 7 | 3 | no | — |
| 29 | C2×#63271 | — | 7 | 21 | no | — |
| 30 | C3×Dic13⋊C3 | — | 49 | 1 | no | Hall |
| 31 | C3×#3861 | — | 13 | 1 | no | Hall |
| 32 | Dic91 | — | 7 | 1 | no | — |
| 33 | Dic91 | — | 21 | 7 | no | — |
| 34 | C2×C3×C72 | D13⋊C3 | 1 | 1 | yes | characteristic |
| 35 | C2×#3861 | — | 13 | 3 | no | — |
| 36 | C3×C7×C13 | ΓL(1,𝔽8)⋊C4 | 1 | 1 | yes | characteristic, complemented |
| 37 | C3×C7×C13 | ΓL(1,𝔽8)⋊C4 | 1 | 7 | yes | complemented |
| 38 | #63271 | — | 7 | 3 | no | — |
| 39 | #63271 | — | 7 | 21 | no | — |
| 40 | C3×ΓL(1,𝔽8)⋊C4 | — | 91 | 1 | no | — |
| 41 | C3×ΓL(1,𝔽8)⋊C4 | — | 91 | 7 | no | — |
| 42 | C2×C3×C13⋊C3 | — | 49 | 1 | no | — |
| 43 | C7⋊Dic7 | — | 39 | 1 | no | Hall |
| 44 | C2×C7×C13 | C3×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 45 | C2×C7×C13 | C3×AGL(1,𝔽7) | 1 | 7 | yes | — |
| 46 | C3×Dic13 | — | 147 | 1 | no | — |
| 47 | Dic13⋊C3 | — | 49 | 3 | no | — |
| 48 | C3×C72 | Dic13⋊C3 | 1 | 1 | yes | characteristic, complemented |
| 49 | #3861 | — | 13 | 3 | no | — |
| 50 | C2×C3×ΓL(1,𝔽8) | — | 91 | 1 | no | — |
| 51 | C2×C3×ΓL(1,𝔽8) | — | 91 | 7 | no | — |
| 52 | C3×C13⋊C3 | — | 49 | 1 | no | Hall |
| 53 | C2×C72 | C3×D13⋊C3 | 1 | 1 | yes | characteristic |
| 54 | C7×C13 | C3×ΓL(1,𝔽8)⋊C4 | 1 | 1 | yes | characteristic, complemented |
| 55 | C7×C13 | C3×ΓL(1,𝔽8)⋊C4 | 1 | 7 | yes | complemented |
| 56 | C3×Dic7 | — | 273 | 1 | no | — |
| 57 | C3×Dic7 | — | 273 | 7 | no | — |
| 58 | ΓL(1,𝔽8)⋊C4 | — | 91 | 3 | no | — |
| 59 | ΓL(1,𝔽8)⋊C4 | — | 91 | 21 | no | — |
| 60 | C2×C3×C13 | #64424 | 1 | 1 | yes | characteristic |
| 61 | C2×C13⋊C3 | — | 49 | 3 | no | — |
| 62 | C3×ΓL(1,𝔽8) | — | 91 | 1 | no | — |
| 63 | C3×ΓL(1,𝔽8) | — | 91 | 7 | no | — |
| 64 | Dic13 | — | 147 | 1 | no | Hall |
| 65 | C72 | C3×Dic13⋊C3 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 66 | C2×C3×C7 | #10587723 | 1 | 1 | yes | characteristic |
| 67 | C2×C3×C7 | #10587723 | 1 | 7 | yes | — |
| 68 | C2×ΓL(1,𝔽8) | — | 91 | 3 | no | — |
| 69 | C2×ΓL(1,𝔽8) | — | 91 | 21 | no | — |
| 70 | C3×C13 | #10596874 | 1 | 1 | yes | characteristic, complemented |
| 71 | C13⋊C3 | — | 49 | 3 | no | — |
| 72 | C32×C4 | — | 637 | 1 | no | Hall |
| 73 | Dic7 | — | 273 | 1 | no | — |
| 74 | Dic7 | — | 273 | 7 | no | — |
| 75 | C2×C13 | C3×#64424 | 1 | 1 | yes | characteristic |
| 76 | C3×C7 | #11763964 | 1 | 1 | yes | characteristic, complemented |
| 77 | C3×C7 | #11763964 | 1 | 7 | yes | complemented |
| 78 | ΓL(1,𝔽8) | — | 91 | 3 | no | — |
| 79 | ΓL(1,𝔽8) | — | 91 | 21 | no | — |
| 80 | C2×C32 | — | 637 | 1 | no | — |
| 81 | C2×C7 | C3×#10587723 | 1 | 1 | yes | characteristic |
| 82 | C2×C7 | C3×#10587723 | 1 | 7 | yes | — |
| 83 | C13 | C3×#10596874 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 84 | C3×C4 | — | 1911 | 1 | no | — |
| 85 | C3×C4 | — | 637 | 3 | no | — |
| 86 | C32 | — | 637 | 1 | no | Sylow |
| 87 | C7 | C3×#11763964 | 1 | 1 | yes | characteristic, complemented |
| 88 | C7 | C3×#11763964 | 1 | 7 | yes | complemented |
| 89 | C2×C3 | — | 637 | 3 | no | — |
| 90 | C2×C3 | #16838447 | 1 | 1 | yes | characteristic |
| 91 | C4 | — | 1911 | 1 | no | Sylow |
| 92 | C3 | — | 637 | 3 | no | — |
| 93 | C3 | #21439523 | 1 | 1 | yes | characteristic, direct product factor |
| 94 | C2 | C3×#16838447 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta