| 1 | C3×#13093365 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C3⋊(C19⋊#261) | C3 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #15688301 | — | 3 | 1 | no | maximal |
| 4 | C3×#10625203 | C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 5 | C3×C19×D13 | C2×C3 | 1 | 1 | yes | characteristic |
| 6 | #13093365 | — | 2 | 1 | no | — |
| 7 | #13093365 | D3 | 1 | 1 | yes | characteristic |
| 8 | C19⋊#261 | — | 3 | 1 | no | Hall |
| 9 | C3×C13×C19 | C3×C4 | 1 | 1 | yes | characteristic, complemented |
| 10 | #10625203 | — | 2 | 1 | no | — |
| 11 | #10625203 | Dic3 | 1 | 1 | yes | characteristic, complemented |
| 12 | C3⋊((C19⋊C3)⋊C4) | — | 13 | 1 | no | maximal, Hall |
| 13 | C19×D13 | C3×D3 | 1 | 1 | yes | characteristic |
| 14 | C3⋊AGL(1,𝔽13) | — | 19 | 1 | no | maximal, Hall |
| 15 | C2×C3×C19⋊C3 | — | 13 | 1 | no | — |
| 16 | C13×C19 | C3×Dic3 | 1 | 1 | yes | characteristic, complemented, Hall |
| 17 | C3×D13⋊C3 | — | 19 | 1 | no | — |
| 18 | Dic57 | — | 13 | 1 | no | — |
| 19 | (C19⋊C3)⋊C4 | — | 39 | 1 | no | — |
| 20 | C3×C19⋊C3 | — | 13 | 1 | no | Hall |
| 21 | C3⋊#261 | — | 19 | 1 | no | — |
| 22 | AGL(1,𝔽13) | — | 57 | 1 | no | — |
| 23 | C3×C13⋊C3 | — | 19 | 1 | no | Hall |
| 24 | C2×C3×C19 | — | 13 | 1 | no | — |
| 25 | C2×C19⋊C3 | — | 13 | 1 | no | — |
| 26 | C2×C19⋊C3 | — | 26 | 1 | no | — |
| 27 | C3×D13 | D19⋊C3 | 1 | 1 | yes | characteristic |
| 28 | D13⋊C3 | — | 19 | 1 | no | — |
| 29 | D13⋊C3 | — | 38 | 1 | no | — |
| 30 | Dic19 | — | 39 | 1 | no | Hall |
| 31 | C3×C19 | AGL(1,𝔽13) | 1 | 1 | yes | characteristic, complemented |
| 32 | C19⋊C3 | — | 13 | 1 | no | — |
| 33 | C19⋊C3 | — | 26 | 1 | no | — |
| 34 | #261 | — | 57 | 1 | no | Hall |
| 35 | C3×C13 | (C19⋊C3)⋊C4 | 1 | 1 | yes | characteristic, complemented |
| 36 | C13⋊C3 | — | 19 | 1 | no | — |
| 37 | C13⋊C3 | — | 38 | 1 | no | — |
| 38 | C2×C19 | — | 13 | 1 | no | — |
| 39 | C3×Dic3 | — | 247 | 1 | no | Hall |
| 40 | D13 | C3⋊(D19⋊C3) | 1 | 1 | yes | characteristic |
| 41 | C19 | C3⋊AGL(1,𝔽13) | 1 | 1 | yes | characteristic, complemented, Sylow |
| 42 | C2×C32 | — | 247 | 1 | no | — |
| 43 | C13 | C3⋊((C19⋊C3)⋊C4) | 1 | 1 | yes | characteristic, complemented, Sylow |
| 44 | C3×C4 | — | 741 | 1 | no | — |
| 45 | Dic3 | — | 247 | 1 | no | — |
| 46 | C32 | — | 247 | 1 | no | Sylow |
| 47 | C2×C3 | — | 13 | 1 | no | — |
| 48 | C2×C3 | — | 494 | 1 | no | — |
| 49 | C2×C3 | — | 247 | 1 | no | — |
| 50 | C4 | — | 741 | 1 | no | Sylow |
| 51 | C3 | — | 494 | 1 | no | — |
| 52 | C3 | — | 247 | 1 | no | — |
| 53 | C3 | #15688301 | 1 | 1 | yes | characteristic, complemented |
| 54 | C2 | — | 13 | 1 | no | — |
Finite Group Databasebeta