| 1 | C2×C32×C72×C17 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C3⋊(C7⋊Dic119) | C3 | 1 | 1 | yes | maximal, characteristic, direct product factor |
| 3 | C3×C7⋊Dic119 | — | 3 | 1 | no | maximal |
| 4 | C32×C72×C17 | C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 5 | C2×C3×C72×C17 | — | 2 | 1 | no | — |
| 6 | C2×C3×C72×C17 | D3 | 1 | 1 | yes | characteristic |
| 7 | C2×C3×C72×C17 | C2×C3 | 1 | 1 | yes | characteristic |
| 8 | C3×Dic357 | — | 7 | 8 | no | maximal |
| 9 | C7⋊Dic119 | — | 3 | 1 | no | Hall |
| 10 | C3×C72×C17 | — | 2 | 1 | no | — |
| 11 | C3×C72×C17 | Dic3 | 1 | 1 | yes | characteristic, complemented |
| 12 | C3×C72×C17 | C3×C4 | 1 | 1 | yes | characteristic, complemented |
| 13 | C2×C32×C7×C17 | D7 | 1 | 8 | yes | — |
| 14 | C3×C3⋊(C7⋊Dic7) | — | 17 | 1 | no | maximal, Hall |
| 15 | C2×C72×C17 | C3×D3 | 1 | 1 | yes | characteristic |
| 16 | Dic357 | — | 7 | 8 | no | — |
| 17 | C3×Dic119 | — | 21 | 8 | no | — |
| 18 | C32×C7×C17 | Dic7 | 1 | 8 | yes | complemented |
| 19 | C2×C32×C72 | D17 | 1 | 1 | yes | characteristic |
| 20 | C72×C17 | C3×Dic3 | 1 | 1 | yes | characteristic, complemented, Hall |
| 21 | C2×C3×C7×C17 | — | 2 | 8 | no | — |
| 22 | C2×C3×C7×C17 | C3×D7 | 1 | 8 | yes | — |
| 23 | C2×C3×C7×C17 | D21 | 1 | 8 | yes | — |
| 24 | C3×Dic51 | — | 49 | 1 | no | Hall |
| 25 | C3⋊(C7⋊Dic7) | — | 17 | 1 | no | — |
| 26 | C3×C7⋊Dic7 | — | 51 | 1 | no | — |
| 27 | Dic119 | — | 21 | 8 | no | — |
| 28 | C32×C72 | Dic17 | 1 | 1 | yes | characteristic, complemented, Hall |
| 29 | C3×C7×C17 | — | 2 | 8 | no | — |
| 30 | C3×C7×C17 | C3×Dic7 | 1 | 8 | yes | complemented |
| 31 | C3×C7×C17 | Dic21 | 1 | 8 | yes | complemented |
| 32 | C2×C32×C17 | C7⋊D7 | 1 | 1 | yes | characteristic |
| 33 | C2×C3×C72 | — | 2 | 1 | no | — |
| 34 | C2×C3×C72 | C3×D17 | 1 | 1 | yes | characteristic |
| 35 | C2×C3×C72 | D51 | 1 | 1 | yes | characteristic |
| 36 | C3×Dic21 | — | 119 | 8 | no | — |
| 37 | C2×C7×C17 | C3×D21 | 1 | 8 | yes | — |
| 38 | Dic51 | — | 49 | 1 | no | — |
| 39 | C3×Dic17 | — | 147 | 1 | no | — |
| 40 | C7⋊Dic7 | — | 51 | 1 | no | Hall |
| 41 | C32×C17 | C7⋊Dic7 | 1 | 1 | yes | characteristic, complemented, Hall |
| 42 | C3×C72 | — | 2 | 1 | no | — |
| 43 | C3×C72 | C3×Dic17 | 1 | 1 | yes | characteristic, complemented |
| 44 | C3×C72 | Dic51 | 1 | 1 | yes | characteristic, complemented |
| 45 | C2×C32×C7 | D119 | 1 | 8 | yes | — |
| 46 | C7×C17 | C3×Dic21 | 1 | 8 | yes | complemented |
| 47 | C2×C3×C17 | — | 2 | 1 | no | — |
| 48 | C2×C3×C17 | C3×C7⋊D7 | 1 | 1 | yes | characteristic |
| 49 | C2×C3×C17 | C3⋊(C7⋊D7) | 1 | 1 | yes | characteristic |
| 50 | C2×C72 | C3×D51 | 1 | 1 | yes | characteristic |
| 51 | Dic21 | — | 119 | 8 | no | — |
| 52 | C3×Dic7 | — | 357 | 8 | no | — |
| 53 | Dic17 | — | 147 | 1 | no | Hall |
| 54 | C32×C7 | Dic119 | 1 | 8 | yes | complemented |
| 55 | C3×C17 | — | 2 | 1 | no | — |
| 56 | C3×C17 | C3×C7⋊Dic7 | 1 | 1 | yes | characteristic, complemented |
| 57 | C3×C17 | C3⋊(C7⋊Dic7) | 1 | 1 | yes | characteristic, complemented |
| 58 | C72 | C3×Dic51 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 59 | C2×C3×C7 | — | 2 | 8 | no | — |
| 60 | C2×C3×C7 | C3×D119 | 1 | 8 | yes | — |
| 61 | C2×C3×C7 | D357 | 1 | 8 | yes | — |
| 62 | C3×Dic3 | — | 833 | 1 | no | Hall |
| 63 | C2×C17 | C3×C3⋊(C7⋊D7) | 1 | 1 | yes | characteristic |
| 64 | Dic7 | — | 357 | 8 | no | — |
| 65 | C3×C7 | — | 2 | 8 | no | — |
| 66 | C3×C7 | C3×Dic119 | 1 | 8 | yes | complemented |
| 67 | C3×C7 | Dic357 | 1 | 8 | yes | complemented |
| 68 | C2×C32 | C7⋊D119 | 1 | 1 | yes | characteristic |
| 69 | C17 | C3×C3⋊(C7⋊Dic7) | 1 | 1 | yes | characteristic, complemented, Sylow |
| 70 | C2×C7 | C3×D357 | 1 | 8 | yes | — |
| 71 | C3×C4 | — | 2499 | 1 | no | — |
| 72 | Dic3 | — | 833 | 1 | no | — |
| 73 | C32 | C7⋊Dic119 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 74 | C7 | C3×Dic357 | 1 | 8 | yes | complemented |
| 75 | C2×C3 | — | 2 | 1 | no | — |
| 76 | C2×C3 | C3×C7⋊D119 | 1 | 1 | yes | characteristic |
| 77 | C2×C3 | C3⋊(C7⋊D119) | 1 | 1 | yes | characteristic |
| 78 | C4 | — | 2499 | 1 | no | Sylow |
| 79 | C3 | — | 2 | 1 | no | — |
| 80 | C3 | C3×C7⋊Dic119 | 1 | 1 | yes | characteristic, complemented |
| 81 | C3 | C3⋊(C7⋊Dic119) | 1 | 1 | yes | characteristic, direct product factor |
| 82 | C2 | C3×C3⋊(C7⋊D119) | 1 | 1 | yes | characteristic |
Finite Group Databasebeta