| 1 | C3×C25×#3862 | C2 | 1 | 1 | yes | maximal, characteristic, complemented, Hall |
| 2 | C7×C25×D21 | — | 3 | 1 | no | maximal |
| 3 | C25×#64418 | — | 3 | 3 | no | maximal |
| 4 | C5×C3⋊#64418 | C5 | 1 | 1 | yes | maximal, characteristic |
| 5 | C25×#3862 | D3 | 1 | 3 | yes | complemented |
| 6 | C3×C72×C25 | D3 | 1 | 1 | yes | characteristic, complemented |
| 7 | C7×D7×C25 | — | 9 | 1 | no | Hall |
| 8 | C3×C5×#3862 | C2×C5 | 1 | 1 | yes | characteristic |
| 9 | C3×ΓL(1,𝔽8)×C25 | — | 14 | 1 | no | — |
| 10 | C5×C7×D21 | — | 3 | 1 | no | — |
| 11 | C5×#64418 | — | 3 | 3 | no | — |
| 12 | C72×C25 | C3⋊D3 | 1 | 1 | yes | characteristic, complemented, Hall |
| 13 | C25×D21 | — | 3 | 1 | no | — |
| 14 | D3×C7×C25 | — | 21 | 1 | no | — |
| 15 | C3⋊#64418 | C25 | 1 | 1 | yes | characteristic, direct product factor, Hall |
| 16 | C3×C5×C72 | C5×D3 | 1 | 1 | yes | characteristic |
| 17 | C5×#3862 | C5×D3 | 1 | 3 | yes | — |
| 18 | C3×C7×C25 | — | 2 | 1 | no | — |
| 19 | C3×C7×C25 | — | 3 | 1 | no | — |
| 20 | C3×C7×C25 | — | 3 | 1 | no | — |
| 21 | ΓL(1,𝔽8)×C25 | — | 14 | 3 | no | — |
| 22 | C5×C7×D7 | — | 9 | 1 | no | — |
| 23 | C3⋊D3×C25 | — | 49 | 1 | no | maximal, Hall |
| 24 | C3×#3862 | C2×C25 | 1 | 1 | yes | characteristic, complemented, Hall |
| 25 | C2×C7×C25 | — | 63 | 1 | no | — |
| 26 | D7×C25 | — | 9 | 1 | no | — |
| 27 | C3×C5×ΓL(1,𝔽8) | — | 14 | 1 | no | — |
| 28 | C7×D21 | — | 3 | 1 | no | — |
| 29 | #64418 | — | 3 | 3 | no | — |
| 30 | C5×C72 | C5×C3⋊D3 | 1 | 1 | yes | characteristic |
| 31 | C32×C25 | — | 49 | 1 | no | Hall |
| 32 | C5×D21 | — | 3 | 1 | no | — |
| 33 | C5×D3×C7 | — | 21 | 1 | no | — |
| 34 | C7×C25 | — | 2 | 1 | no | — |
| 35 | C7×C25 | — | 3 | 1 | no | — |
| 36 | C7×C25 | — | 3 | 1 | no | — |
| 37 | D3×C25 | — | 21 | 1 | no | — |
| 38 | D3×C25 | — | 147 | 3 | no | — |
| 39 | C3×C72 | D3×C25 | 1 | 1 | yes | characteristic, complemented |
| 40 | #3862 | D3×C25 | 1 | 3 | yes | complemented |
| 41 | C3×C5×C7 | — | 2 | 1 | no | — |
| 42 | C3×C5×C7 | — | 3 | 1 | no | — |
| 43 | C3×C5×C7 | — | 3 | 1 | no | — |
| 44 | C5×ΓL(1,𝔽8) | — | 14 | 3 | no | — |
| 45 | C7×D7 | — | 9 | 1 | no | Hall |
| 46 | C5×C3⋊D3 | — | 49 | 1 | no | — |
| 47 | C3×C25 | — | 49 | 3 | no | — |
| 48 | C3×C25 | #64418 | 1 | 1 | yes | characteristic, complemented |
| 49 | C2×C5×C7 | — | 63 | 1 | no | — |
| 50 | C5×D7 | — | 9 | 1 | no | — |
| 51 | C3×ΓL(1,𝔽8) | — | 14 | 1 | no | — |
| 52 | C2×C25 | — | 63 | 1 | no | Hall |
| 53 | C72 | C3⋊D3×C25 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 54 | C32×C5 | — | 49 | 1 | no | — |
| 55 | D21 | — | 3 | 1 | no | — |
| 56 | D3×C7 | — | 21 | 1 | no | — |
| 57 | C5×C7 | — | 2 | 1 | no | — |
| 58 | C5×C7 | — | 3 | 1 | no | — |
| 59 | C5×C7 | — | 3 | 1 | no | — |
| 60 | C5×D3 | — | 21 | 1 | no | — |
| 61 | C5×D3 | — | 147 | 3 | no | — |
| 62 | C25 | C3⋊#64418 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 63 | C3×C7 | — | 2 | 1 | no | — |
| 64 | C3×C7 | — | 3 | 1 | no | — |
| 65 | C3×C7 | — | 3 | 1 | no | — |
| 66 | ΓL(1,𝔽8) | — | 14 | 3 | no | — |
| 67 | C3⋊D3 | — | 49 | 1 | no | Hall |
| 68 | C3×C5 | — | 49 | 3 | no | — |
| 69 | C3×C5 | C5×#64418 | 1 | 1 | yes | characteristic |
| 70 | C2×C7 | — | 63 | 1 | no | — |
| 71 | D7 | — | 9 | 1 | no | — |
| 72 | C2×C5 | — | 63 | 1 | no | — |
| 73 | C32 | — | 49 | 1 | no | Sylow |
| 74 | C7 | — | 2 | 1 | no | — |
| 75 | C7 | — | 3 | 1 | no | — |
| 76 | C7 | — | 3 | 1 | no | — |
| 77 | D3 | — | 21 | 1 | no | — |
| 78 | D3 | — | 147 | 3 | no | — |
| 79 | C5 | C5×C3⋊#64418 | 1 | 1 | yes | characteristic |
| 80 | C3 | — | 49 | 3 | no | — |
| 81 | C3 | C25×#64418 | 1 | 1 | yes | characteristic, complemented |
| 82 | C2 | — | 63 | 1 | no | Sylow |
Finite Group Databasebeta