| 1 | C3×C5×ΓL(1,𝔽8)×D29 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C3×C7⋊#10596817 | C3 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | ΓL(1,𝔽8)⋊#10596817 | C3 | 1 | 3 | yes | maximal, direct product factor |
| 4 | C3×C5×ΓL(1,𝔽8)×C29 | C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 5 | C3×ΓL(1,𝔽8)⋊#1181 | — | 5 | 1 | no | maximal, Hall |
| 6 | C5×ΓL(1,𝔽8)×D29 | C2×C3 | 1 | 3 | yes | — |
| 7 | C3×C5×C7×D29 | C2×C3 | 1 | 1 | yes | characteristic |
| 8 | C32×#10596817 | — | 7 | 1 | no | maximal, Hall |
| 9 | C7⋊#10596817 | C32 | 1 | 1 | yes | characteristic, complemented, Hall |
| 10 | C3×ΓL(1,𝔽8)×D29 | D5 | 1 | 1 | yes | characteristic |
| 11 | C5×ΓL(1,𝔽8)×C29 | C3×C4 | 1 | 3 | yes | complemented |
| 12 | C3×C5×C7×C29 | C3×C4 | 1 | 1 | yes | characteristic, complemented |
| 13 | C32×C5×D29 | — | 7 | 1 | no | — |
| 14 | C3×C7⋊#1181 | — | 5 | 1 | no | — |
| 15 | ΓL(1,𝔽8)⋊#1181 | — | 5 | 3 | no | — |
| 16 | C5×C7×D29 | C2×C32 | 1 | 1 | yes | characteristic |
| 17 | C3×ΓL(1,𝔽8)×C29 | Dic5 | 1 | 1 | yes | characteristic, complemented, Hall |
| 18 | C3×#10596817 | — | 7 | 3 | no | — |
| 19 | C3×#10596817 | — | 7 | 1 | no | — |
| 20 | C32×C5×C29 | — | 7 | 1 | no | Hall |
| 21 | C3×ΓL(1,𝔽8)⋊Dic5 | — | 29 | 1 | no | maximal, Hall |
| 22 | C3×C7×D29 | C3×D5 | 1 | 1 | yes | characteristic |
| 23 | ΓL(1,𝔽8)×D29 | C3×D5 | 1 | 3 | yes | — |
| 24 | C32×#1181 | — | 35 | 1 | no | Hall |
| 25 | C5×C7×C29 | C32×C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 26 | C3×C5×D29 | — | 7 | 3 | no | — |
| 27 | C3×C5×D29 | AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 28 | C7⋊#1181 | — | 5 | 1 | no | Hall |
| 29 | C2×C3×C5×ΓL(1,𝔽8) | — | 29 | 1 | no | — |
| 30 | C3×C7×C29 | C3×Dic5 | 1 | 1 | yes | characteristic, complemented |
| 31 | ΓL(1,𝔽8)×C29 | C3×Dic5 | 1 | 3 | yes | complemented |
| 32 | #10596817 | — | 7 | 1 | no | Hall |
| 33 | C32×D29 | — | 7 | 1 | no | — |
| 34 | C3×C5×C29 | — | 7 | 3 | no | — |
| 35 | C3×C5×C29 | ΓL(1,𝔽8)⋊C4 | 1 | 1 | yes | characteristic, complemented |
| 36 | C3×Dic35 | — | 29 | 1 | no | — |
| 37 | ΓL(1,𝔽8)⋊Dic5 | — | 29 | 3 | no | — |
| 38 | C7×D29 | C32×D5 | 1 | 1 | yes | characteristic |
| 39 | C3×#1181 | — | 35 | 3 | no | — |
| 40 | C3×#1181 | — | 35 | 1 | no | — |
| 41 | C3×C5×ΓL(1,𝔽8) | #1181 | 1 | 1 | yes | characteristic, complemented, Hall |
| 42 | C5×D29 | C3×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 43 | C32×C29 | — | 7 | 1 | no | Hall |
| 44 | C3×ΓL(1,𝔽8)⋊C4 | — | 145 | 1 | no | Hall |
| 45 | C2×C3×C5×C7 | — | 29 | 1 | no | — |
| 46 | C2×C5×ΓL(1,𝔽8) | — | 29 | 3 | no | — |
| 47 | C7×C29 | C32×Dic5 | 1 | 1 | yes | characteristic, complemented, Hall |
| 48 | C32×Dic5 | — | 203 | 1 | no | Hall |
| 49 | C3×D29 | — | 7 | 3 | no | — |
| 50 | C3×D29 | C5⋊AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 51 | C5×C29 | C3×ΓL(1,𝔽8)⋊C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 52 | Dic35 | — | 29 | 1 | no | Hall |
| 53 | C2×C3×ΓL(1,𝔽8) | — | 29 | 1 | no | — |
| 54 | #1181 | — | 35 | 1 | no | Hall |
| 55 | C3×C5×C7 | C3×#1181 | 1 | 1 | yes | characteristic, complemented |
| 56 | C5×ΓL(1,𝔽8) | C3×#1181 | 1 | 3 | yes | complemented |
| 57 | C2×C32×C5 | — | 203 | 1 | no | — |
| 58 | C3×C29 | — | 7 | 3 | no | — |
| 59 | C3×C29 | ΓL(1,𝔽8)⋊Dic5 | 1 | 1 | yes | characteristic, complemented |
| 60 | C3×Dic7 | — | 145 | 1 | no | — |
| 61 | ΓL(1,𝔽8)⋊C4 | — | 145 | 3 | no | — |
| 62 | C2×C5×C7 | — | 29 | 1 | no | — |
| 63 | C3×ΓL(1,𝔽8) | #10596817 | 1 | 1 | yes | characteristic, complemented, Hall |
| 64 | C3×Dic5 | — | 203 | 1 | no | — |
| 65 | C3×Dic5 | — | 203 | 3 | no | — |
| 66 | D29 | C3×C5⋊AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 67 | C32×C5 | — | 7 | 1 | no | Hall |
| 68 | C2×C3×C7 | — | 29 | 1 | no | — |
| 69 | C2×ΓL(1,𝔽8) | — | 29 | 3 | no | — |
| 70 | C32×C4 | — | 1015 | 1 | no | Hall |
| 71 | C5×C7 | C32×#1181 | 1 | 1 | yes | characteristic, complemented, Hall |
| 72 | C2×C3×C5 | — | 29 | 1 | no | — |
| 73 | C2×C3×C5 | — | 203 | 3 | no | — |
| 74 | C29 | C3×ΓL(1,𝔽8)⋊Dic5 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 75 | Dic7 | — | 145 | 1 | no | Hall |
| 76 | C3×C7 | C3×#10596817 | 1 | 1 | yes | characteristic, complemented |
| 77 | ΓL(1,𝔽8) | C3×#10596817 | 1 | 3 | yes | complemented |
| 78 | Dic5 | — | 203 | 1 | no | Hall |
| 79 | C2×C32 | — | 203 | 1 | no | — |
| 80 | C3×C5 | — | 7 | 3 | no | — |
| 81 | C3×C5 | ΓL(1,𝔽8)⋊#1181 | 1 | 1 | yes | characteristic, complemented |
| 82 | C2×C7 | — | 29 | 1 | no | — |
| 83 | C3×C4 | — | 1015 | 1 | no | — |
| 84 | C3×C4 | — | 1015 | 3 | no | — |
| 85 | C2×C5 | — | 29 | 1 | no | — |
| 86 | C32 | — | 7 | 1 | no | Sylow |
| 87 | C7 | C32×#10596817 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 88 | C2×C3 | — | 29 | 1 | no | — |
| 89 | C2×C3 | — | 203 | 3 | no | — |
| 90 | C5 | C3×ΓL(1,𝔽8)⋊#1181 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 91 | C4 | — | 1015 | 1 | no | Sylow |
| 92 | C3 | — | 7 | 3 | no | — |
| 93 | C3 | ΓL(1,𝔽8)⋊#10596817 | 1 | 1 | yes | characteristic, direct product factor |
| 94 | C2 | — | 29 | 1 | no | — |
Finite Group Databasebeta