| 1 | C2×C5×C72×C13⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C5×C7⋊Dic91 | C3 | 1 | 1 | yes | maximal, characteristic, complemented, Hall |
| 3 | C5×C72×C13⋊C3 | C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 4 | #21439560 | C5 | 1 | 1 | yes | maximal, characteristic, direct product factor, Hall |
| 5 | C2×C5×C72×C13 | C2×C3 | 1 | 1 | yes | characteristic |
| 6 | C5×#11763955 | — | 7 | 8 | no | maximal |
| 7 | C2×C72×C13⋊C3 | C2×C5 | 1 | 1 | yes | characteristic |
| 8 | C5×C72×C13 | C3×C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 9 | C3×C5×C7⋊Dic7 | — | 13 | 1 | no | maximal, Hall |
| 10 | C2×C5×C7×C13⋊C3 | D7 | 1 | 8 | yes | — |
| 11 | C7⋊Dic91 | C3×C5 | 1 | 1 | yes | characteristic, complemented, Hall |
| 12 | C72×C13⋊C3 | C4×C5 | 1 | 1 | yes | characteristic, complemented, Hall |
| 13 | C5×Dic91 | — | 7 | 8 | no | — |
| 14 | C2×C3×C5×C72 | — | 13 | 1 | no | — |
| 15 | C5×C7×C13⋊C3 | Dic7 | 1 | 8 | yes | complemented |
| 16 | C2×C72×C13 | C2×C3×C5 | 1 | 1 | yes | characteristic |
| 17 | #11763955 | — | 7 | 8 | no | — |
| 18 | C5×C7⋊Dic7 | — | 13 | 1 | no | Hall |
| 19 | C2×C5×C7×C13 | C3×D7 | 1 | 8 | yes | — |
| 20 | C5×Dic13⋊C3 | — | 49 | 1 | no | Hall |
| 21 | C3×C5×C72 | — | 13 | 1 | no | Hall |
| 22 | C72×C13 | C3×C4×C5 | 1 | 1 | yes | characteristic, complemented, Hall |
| 23 | C3×C7⋊Dic7 | — | 13 | 1 | no | Hall |
| 24 | C2×C7×C13⋊C3 | C5×D7 | 1 | 8 | yes | — |
| 25 | C2×C5×C72 | D13⋊C3 | 1 | 1 | yes | characteristic |
| 26 | C5×C7×C13 | C3×Dic7 | 1 | 8 | yes | complemented |
| 27 | C3×C5×Dic7 | — | 91 | 8 | no | — |
| 28 | C2×C5×C13⋊C3 | C7⋊D7 | 1 | 1 | yes | characteristic |
| 29 | Dic91 | — | 7 | 8 | no | — |
| 30 | C2×C3×C72 | — | 13 | 1 | no | — |
| 31 | C7×C13⋊C3 | C5×Dic7 | 1 | 8 | yes | complemented |
| 32 | C5×Dic13 | — | 49 | 1 | no | Hall |
| 33 | C5×C72 | Dic13⋊C3 | 1 | 1 | yes | characteristic, complemented, Hall |
| 34 | C2×C3×C5×C7 | — | 13 | 8 | no | — |
| 35 | C7⋊Dic7 | — | 13 | 1 | no | Hall |
| 36 | C5×C13⋊C3 | C7⋊Dic7 | 1 | 1 | yes | characteristic, complemented, Hall |
| 37 | C2×C7×C13 | C3×C5×D7 | 1 | 8 | yes | — |
| 38 | Dic13⋊C3 | — | 49 | 1 | no | Hall |
| 39 | C3×C72 | — | 13 | 1 | no | Hall |
| 40 | C5×Dic7 | — | 91 | 8 | no | — |
| 41 | C2×C5×C13 | C3×C7⋊D7 | 1 | 1 | yes | characteristic |
| 42 | C3×C5×C7 | — | 13 | 8 | no | — |
| 43 | C2×C72 | C5×D13⋊C3 | 1 | 1 | yes | characteristic |
| 44 | C7×C13 | C3×C5×Dic7 | 1 | 8 | yes | complemented |
| 45 | C3×Dic7 | — | 91 | 8 | no | — |
| 46 | C2×C13⋊C3 | C5×C7⋊D7 | 1 | 1 | yes | characteristic |
| 47 | C2×C5×C7 | (C13⋊C3)⋊D7 | 1 | 8 | yes | — |
| 48 | C5×C13 | C3×C7⋊Dic7 | 1 | 1 | yes | characteristic, complemented, Hall |
| 49 | C3×C4×C5 | — | 637 | 1 | no | Hall |
| 50 | Dic13 | — | 49 | 1 | no | Hall |
| 51 | C72 | C5×Dic13⋊C3 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 52 | C2×C3×C7 | — | 13 | 8 | no | — |
| 53 | C13⋊C3 | C5×C7⋊Dic7 | 1 | 1 | yes | characteristic, complemented, Hall |
| 54 | C5×C7 | #11763955 | 1 | 8 | yes | complemented |
| 55 | C2×C3×C5 | — | 13 | 1 | no | — |
| 56 | Dic7 | — | 91 | 8 | no | — |
| 57 | C2×C13 | C3×C5×C7⋊D7 | 1 | 1 | yes | characteristic |
| 58 | C3×C7 | — | 13 | 8 | no | — |
| 59 | C4×C5 | — | 637 | 1 | no | Hall |
| 60 | C3×C5 | — | 13 | 1 | no | Hall |
| 61 | C2×C7 | C5×(C13⋊C3)⋊D7 | 1 | 8 | yes | — |
| 62 | C13 | C3×C5×C7⋊Dic7 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 63 | C3×C4 | — | 637 | 1 | no | Hall |
| 64 | C2×C5 | (C13⋊C3)⋊(C7⋊D7) | 1 | 1 | yes | characteristic |
| 65 | C7 | C5×#11763955 | 1 | 8 | yes | complemented |
| 66 | C2×C3 | — | 13 | 1 | no | — |
| 67 | C5 | #21439560 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 68 | C4 | — | 637 | 1 | no | Sylow |
| 69 | C3 | — | 13 | 1 | no | Sylow |
| 70 | C2 | C5×(C13⋊C3)⋊(C7⋊D7) | 1 | 1 | yes | characteristic |
Finite Group Databasebeta