| 1 | C3×C5×D5×C29 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #15668534 | — | 3 | 1 | no | maximal, Hall |
| 3 | C3×C52×C29 | C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 4 | C3⋊#10596816 | — | 5 | 1 | no | maximal |
| 5 | Dic435 | — | 5 | 1 | no | maximal |
| 6 | C5×D5×C29 | D3 | 1 | 1 | yes | characteristic |
| 7 | C2×C3×C5×C29 | — | 5 | 1 | no | — |
| 8 | C3×D5×C29 | D5 | 1 | 1 | yes | characteristic |
| 9 | C52×C29 | Dic3 | 1 | 1 | yes | characteristic, complemented, Hall |
| 10 | #10596816 | — | 15 | 1 | no | — |
| 11 | Dic145 | — | 15 | 1 | no | — |
| 12 | C3×C5×C29 | — | 4 | 1 | no | — |
| 13 | C3×C5×C29 | Dic5 | 1 | 1 | yes | characteristic, complemented |
| 14 | C3×C5×C29 | AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 15 | Dic87 | — | 25 | 1 | no | Hall |
| 16 | C3⋊#1042 | — | 29 | 1 | no | maximal, Hall |
| 17 | C2×C5×C29 | — | 5 | 1 | no | — |
| 18 | D5×C29 | D15 | 1 | 1 | yes | characteristic |
| 19 | C2×C3×C29 | — | 5 | 1 | no | — |
| 20 | C3×C5×D5 | D29 | 1 | 1 | yes | characteristic |
| 21 | C5×C29 | — | 4 | 1 | no | — |
| 22 | C5×C29 | Dic15 | 1 | 1 | yes | characteristic, complemented |
| 23 | C5×C29 | ΓL(1,𝔽16) | 1 | 1 | yes | characteristic, complemented |
| 24 | Dic29 | — | 75 | 1 | no | Hall |
| 25 | #1042 | — | 87 | 1 | no | Hall |
| 26 | C3×C29 | #1042 | 1 | 1 | yes | characteristic, complemented, Hall |
| 27 | C3×C52 | Dic29 | 1 | 1 | yes | characteristic, complemented, Hall |
| 28 | ΓL(1,𝔽16) | — | 145 | 1 | no | — |
| 29 | Dic15 | — | 145 | 1 | no | — |
| 30 | C2×C29 | — | 5 | 1 | no | — |
| 31 | C5×D5 | D87 | 1 | 1 | yes | characteristic |
| 32 | C2×C3×C5 | — | 5 | 1 | no | — |
| 33 | C3×D5 | D145 | 1 | 1 | yes | characteristic |
| 34 | C29 | C3⋊#1042 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 35 | C52 | Dic87 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 36 | AGL(1,𝔽5) | — | 435 | 1 | no | — |
| 37 | Dic5 | — | 435 | 1 | no | — |
| 38 | C3×C5 | — | 4 | 1 | no | — |
| 39 | C3×C5 | Dic145 | 1 | 1 | yes | characteristic, complemented |
| 40 | C3×C5 | #10596816 | 1 | 1 | yes | characteristic, complemented |
| 41 | Dic3 | — | 725 | 1 | no | Hall |
| 42 | C2×C5 | — | 5 | 1 | no | — |
| 43 | D5 | D435 | 1 | 1 | yes | characteristic |
| 44 | C2×C3 | — | 5 | 1 | no | — |
| 45 | C5 | — | 4 | 1 | no | — |
| 46 | C5 | Dic435 | 1 | 1 | yes | characteristic, complemented |
| 47 | C5 | C3⋊#10596816 | 1 | 1 | yes | characteristic, complemented |
| 48 | C4 | — | 2175 | 1 | no | Sylow |
| 49 | C3 | #15668534 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 50 | C2 | — | 5 | 1 | no | — |
Finite Group Databasebeta