| 1 | C3×ΓL(1,𝔽8)×D85 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C3×C7⋊#66775 | C3 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | ΓL(1,𝔽8)⋊#66775 | C3 | 1 | 3 | yes | maximal, direct product factor |
| 4 | C3×C5×C17×ΓL(1,𝔽8) | C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 5 | C3×ΓL(1,𝔽8)⋊#595 | — | 5 | 1 | no | maximal, Hall |
| 6 | ΓL(1,𝔽8)×D85 | C2×C3 | 1 | 3 | yes | — |
| 7 | C3×C7×D85 | C2×C3 | 1 | 1 | yes | characteristic |
| 8 | C32×#66775 | — | 7 | 1 | no | maximal, Hall |
| 9 | C7⋊#66775 | C32 | 1 | 1 | yes | characteristic, complemented, Hall |
| 10 | C3×ΓL(1,𝔽8)×D17 | — | 5 | 1 | no | — |
| 11 | C3×C5×C7×C17 | C3×C4 | 1 | 1 | yes | characteristic, complemented |
| 12 | C5×C17×ΓL(1,𝔽8) | C3×C4 | 1 | 3 | yes | complemented |
| 13 | C32×D85 | — | 7 | 1 | no | — |
| 14 | C3×C7⋊#595 | — | 5 | 1 | no | — |
| 15 | ΓL(1,𝔽8)⋊#595 | — | 5 | 3 | no | — |
| 16 | C3×ΓL(1,𝔽8)⋊AGL(1,𝔽5) | — | 17 | 1 | no | maximal, Hall |
| 17 | C7×D85 | C2×C32 | 1 | 1 | yes | characteristic |
| 18 | C3×C17×ΓL(1,𝔽8) | AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented, Hall |
| 19 | C3×#66775 | — | 7 | 3 | no | — |
| 20 | C3×#66775 | — | 21 | 1 | no | — |
| 21 | C32×C5×C17 | — | 7 | 1 | no | Hall |
| 22 | C3×C7×D17 | — | 5 | 1 | no | — |
| 23 | ΓL(1,𝔽8)×D17 | — | 5 | 3 | no | — |
| 24 | C3×D5×ΓL(1,𝔽8) | — | 17 | 1 | no | — |
| 25 | C32×#595 | — | 35 | 1 | no | Hall |
| 26 | C5×C7×C17 | C32×C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 27 | C3×D85 | — | 7 | 3 | no | — |
| 28 | C3×D85 | AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 29 | C7⋊#595 | — | 5 | 1 | no | Hall |
| 30 | C3×C7⋊AGL(1,𝔽5) | — | 17 | 1 | no | — |
| 31 | ΓL(1,𝔽8)⋊AGL(1,𝔽5) | — | 17 | 3 | no | — |
| 32 | C3×C7×C17 | C3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 33 | C17×ΓL(1,𝔽8) | C3×AGL(1,𝔽5) | 1 | 3 | yes | complemented |
| 34 | #66775 | — | 21 | 1 | no | Hall |
| 35 | C3×C5×ΓL(1,𝔽8) | #595 | 1 | 1 | yes | characteristic, complemented, Hall |
| 36 | C32×D17 | — | 35 | 1 | no | — |
| 37 | C3×C5×C17 | — | 7 | 3 | no | — |
| 38 | C3×C5×C17 | ΓL(1,𝔽8)⋊C4 | 1 | 1 | yes | characteristic, complemented |
| 39 | C3×ΓL(1,𝔽8)⋊C4 | — | 85 | 1 | no | Hall |
| 40 | C7×D17 | — | 5 | 1 | no | — |
| 41 | C3×C7×D5 | — | 17 | 1 | no | — |
| 42 | D5×ΓL(1,𝔽8) | — | 17 | 3 | no | — |
| 43 | C3×#595 | — | 35 | 3 | no | — |
| 44 | C3×#595 | — | 35 | 1 | no | — |
| 45 | C32×AGL(1,𝔽5) | — | 119 | 1 | no | Hall |
| 46 | D85 | C3×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 47 | C32×C17 | — | 7 | 1 | no | Hall |
| 48 | C7⋊AGL(1,𝔽5) | — | 17 | 1 | no | Hall |
| 49 | C2×C3×ΓL(1,𝔽8) | — | 85 | 1 | no | — |
| 50 | C7×C17 | C32×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented, Hall |
| 51 | C3×C5×C7 | C3×#595 | 1 | 1 | yes | characteristic, complemented |
| 52 | C5×ΓL(1,𝔽8) | C3×#595 | 1 | 3 | yes | complemented |
| 53 | C3×D17 | — | 5 | 1 | no | — |
| 54 | C3×D17 | — | 35 | 3 | no | — |
| 55 | C32×D5 | — | 119 | 1 | no | — |
| 56 | C5×C17 | C3×ΓL(1,𝔽8)⋊C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 57 | C3×Dic7 | — | 85 | 1 | no | — |
| 58 | ΓL(1,𝔽8)⋊C4 | — | 85 | 3 | no | — |
| 59 | C7×D5 | — | 17 | 1 | no | — |
| 60 | #595 | — | 35 | 1 | no | Hall |
| 61 | C3×ΓL(1,𝔽8) | #66775 | 1 | 1 | yes | characteristic, complemented, Hall |
| 62 | C3×AGL(1,𝔽5) | — | 357 | 1 | no | — |
| 63 | C3×AGL(1,𝔽5) | — | 119 | 3 | no | — |
| 64 | C3×C17 | — | 7 | 3 | no | — |
| 65 | C3×C17 | ΓL(1,𝔽8)⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 66 | C32×C5 | — | 7 | 1 | no | Hall |
| 67 | C2×C3×C7 | — | 85 | 1 | no | — |
| 68 | C2×ΓL(1,𝔽8) | — | 85 | 3 | no | — |
| 69 | C32×C4 | — | 595 | 1 | no | Hall |
| 70 | C5×C7 | C32×#595 | 1 | 1 | yes | characteristic, complemented, Hall |
| 71 | D17 | — | 5 | 1 | no | — |
| 72 | C3×D5 | — | 17 | 1 | no | — |
| 73 | C3×D5 | — | 119 | 3 | no | — |
| 74 | Dic7 | — | 85 | 1 | no | Hall |
| 75 | C3×C7 | C3×#66775 | 1 | 1 | yes | characteristic, complemented |
| 76 | ΓL(1,𝔽8) | C3×#66775 | 1 | 3 | yes | complemented |
| 77 | AGL(1,𝔽5) | — | 357 | 1 | no | Hall |
| 78 | C2×C32 | — | 595 | 1 | no | — |
| 79 | C17 | C3×ΓL(1,𝔽8)⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented, Sylow |
| 80 | C3×C5 | — | 7 | 3 | no | — |
| 81 | C3×C5 | ΓL(1,𝔽8)⋊#595 | 1 | 1 | yes | characteristic, complemented |
| 82 | C2×C7 | — | 85 | 1 | no | — |
| 83 | C3×C4 | — | 595 | 3 | no | — |
| 84 | C3×C4 | — | 1785 | 1 | no | — |
| 85 | D5 | — | 17 | 1 | no | — |
| 86 | C32 | — | 7 | 1 | no | Sylow |
| 87 | C7 | C32×#66775 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 88 | C2×C3 | — | 595 | 3 | no | — |
| 89 | C2×C3 | — | 85 | 1 | no | — |
| 90 | C5 | C3×ΓL(1,𝔽8)⋊#595 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 91 | C4 | — | 1785 | 1 | no | Sylow |
| 92 | C3 | — | 7 | 3 | no | — |
| 93 | C3 | ΓL(1,𝔽8)⋊#66775 | 1 | 1 | yes | characteristic, direct product factor |
| 94 | C2 | — | 85 | 1 | no | — |
Finite Group Databasebeta