| 1 | C2×C3×#14584116 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C3×C72×Dic19 | C3 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #26013845 | C3 | 1 | 3 | yes | maximal, direct product factor |
| 4 | C3×#14584116 | C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 5 | C2×#14584116 | C2×C3 | 1 | 3 | yes | — |
| 6 | C2×C3×C72×C19 | C2×C3 | 1 | 1 | yes | characteristic |
| 7 | C3×#13097583 | — | 7 | 8 | no | maximal |
| 8 | C72×Dic19 | C32 | 1 | 1 | yes | characteristic, complemented, Hall |
| 9 | #14584116 | C3×C4 | 1 | 3 | yes | complemented |
| 10 | C3×C72×C19 | C3×C4 | 1 | 1 | yes | characteristic, complemented |
| 11 | C2×C3×#87705 | — | 7 | 8 | no | — |
| 12 | C2×C72×C19 | C2×C32 | 1 | 1 | yes | characteristic |
| 13 | C3×C4×#3861 | — | 19 | 1 | no | maximal, Hall |
| 14 | C3×C7×Dic19 | ΓL(1,𝔽8) | 1 | 8 | yes | complemented |
| 15 | #13097583 | — | 7 | 24 | no | — |
| 16 | C3×#87705 | — | 7 | 8 | no | — |
| 17 | C72×C19 | C32×C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 18 | C2×C3×#3861 | — | 19 | 1 | no | — |
| 19 | C2×C3×C7×C19 | C2×ΓL(1,𝔽8) | 1 | 8 | yes | — |
| 20 | C2×#87705 | — | 7 | 24 | no | — |
| 21 | C3×(C19⋊C3)⋊C4 | — | 49 | 1 | no | Hall |
| 22 | C3×C4×C72 | — | 19 | 1 | no | — |
| 23 | C4×#3861 | — | 19 | 3 | no | — |
| 24 | C7×Dic19 | C3×ΓL(1,𝔽8) | 1 | 8 | yes | complemented |
| 25 | C3×#3861 | — | 19 | 1 | no | Hall |
| 26 | C3×C7×C19 | C4×ΓL(1,𝔽8) | 1 | 8 | yes | complemented |
| 27 | #87705 | — | 7 | 24 | no | — |
| 28 | C2×C3×C19⋊C3 | — | 49 | 1 | no | — |
| 29 | C2×C3×C72 | D19⋊C3 | 1 | 1 | yes | characteristic |
| 30 | C2×#3861 | — | 19 | 3 | no | — |
| 31 | C2×C7×C19 | C2×C3×ΓL(1,𝔽8) | 1 | 8 | yes | — |
| 32 | C3×C4×ΓL(1,𝔽8) | — | 133 | 8 | no | — |
| 33 | C3×Dic19 | #3861 | 1 | 1 | yes | characteristic, complemented |
| 34 | (C19⋊C3)⋊C4 | — | 49 | 3 | no | — |
| 35 | C4×C72 | — | 19 | 1 | no | Hall |
| 36 | C3×C19⋊C3 | — | 49 | 1 | no | Hall |
| 37 | C3×C72 | (C19⋊C3)⋊C4 | 1 | 1 | yes | characteristic, complemented |
| 38 | #3861 | — | 19 | 3 | no | — |
| 39 | C7×C19 | C3×C4×ΓL(1,𝔽8) | 1 | 8 | yes | complemented |
| 40 | C2×C3×ΓL(1,𝔽8) | — | 133 | 8 | no | — |
| 41 | C2×C3×C19 | C2×#3861 | 1 | 1 | yes | characteristic |
| 42 | C2×C19⋊C3 | — | 49 | 3 | no | — |
| 43 | C2×C72 | C3×D19⋊C3 | 1 | 1 | yes | characteristic |
| 44 | C3×C4×C7 | — | 19 | 8 | no | — |
| 45 | C4×ΓL(1,𝔽8) | — | 133 | 24 | no | — |
| 46 | Dic19 | C3×#3861 | 1 | 1 | yes | characteristic, complemented, Hall |
| 47 | C3×ΓL(1,𝔽8) | — | 133 | 8 | no | — |
| 48 | C3×C19 | C4×#3861 | 1 | 1 | yes | characteristic, complemented |
| 49 | C19⋊C3 | — | 49 | 3 | no | — |
| 50 | C72 | C3×(C19⋊C3)⋊C4 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 51 | C2×C3×C7 | #11716322 | 1 | 8 | yes | — |
| 52 | C2×ΓL(1,𝔽8) | — | 133 | 24 | no | — |
| 53 | C2×C19 | C2×C3×#3861 | 1 | 1 | yes | characteristic |
| 54 | C32×C4 | — | 931 | 1 | no | Hall |
| 55 | C4×C7 | — | 19 | 8 | no | — |
| 56 | C3×C7 | #13097583 | 1 | 8 | yes | complemented |
| 57 | ΓL(1,𝔽8) | — | 133 | 24 | no | — |
| 58 | C19 | C3×C4×#3861 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 59 | C2×C32 | — | 931 | 1 | no | — |
| 60 | C2×C7 | C3×#11716322 | 1 | 8 | yes | — |
| 61 | C3×C4 | — | 19 | 1 | no | — |
| 62 | C3×C4 | — | 931 | 3 | no | — |
| 63 | C32 | — | 931 | 1 | no | Sylow |
| 64 | C7 | C3×#13097583 | 1 | 8 | yes | complemented |
| 65 | C2×C3 | — | 931 | 3 | no | — |
| 66 | C2×C3 | #19150312 | 1 | 1 | yes | characteristic |
| 67 | C4 | — | 19 | 1 | no | Sylow |
| 68 | C3 | — | 931 | 3 | no | — |
| 69 | C3 | #26013845 | 1 | 1 | yes | characteristic, direct product factor |
| 70 | C2 | C3×#19150312 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta