| 1 | C3×C25×#3861 | C2 | 1 | 1 | yes | maximal, characteristic, complemented, Hall |
| 2 | C25×C3⋊(C7⋊D7) | C3 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C25×#64424 | — | 3 | 1 | no | maximal |
| 4 | C5×C3⋊#64424 | C5 | 1 | 1 | yes | maximal, characteristic |
| 5 | C25×#3861 | — | 2 | 1 | no | — |
| 6 | C25×#3861 | D3 | 1 | 1 | yes | characteristic, complemented |
| 7 | C3×C72×C25 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 8 | C25×C3⋊AGL(1,𝔽7) | — | 7 | 8 | no | maximal |
| 9 | C25×C7⋊D7 | — | 3 | 1 | no | Hall |
| 10 | C3×C5×#3861 | C2×C5 | 1 | 1 | yes | characteristic |
| 11 | C3×ΓL(1,𝔽8)×C25 | — | 7 | 8 | no | — |
| 12 | C5×C3⋊(C7⋊D7) | C3×C5 | 1 | 1 | yes | characteristic |
| 13 | C5×#64424 | — | 3 | 1 | no | — |
| 14 | C72×C25 | C3×D3 | 1 | 1 | yes | characteristic, complemented, Hall |
| 15 | C25×D21 | — | 7 | 8 | no | — |
| 16 | C25×AGL(1,𝔽7) | — | 21 | 8 | no | — |
| 17 | C3⋊#64424 | C25 | 1 | 1 | yes | characteristic, direct product factor, Hall |
| 18 | C3×C5×C72 | C2×C3×C5 | 1 | 1 | yes | characteristic |
| 19 | C5×#3861 | — | 2 | 1 | no | — |
| 20 | C5×#3861 | C5×D3 | 1 | 1 | yes | characteristic |
| 21 | C5×C3⋊AGL(1,𝔽7) | — | 7 | 8 | no | — |
| 22 | C3×C7×C25 | AGL(1,𝔽7) | 1 | 8 | yes | complemented |
| 23 | ΓL(1,𝔽8)×C25 | — | 7 | 8 | no | — |
| 24 | ΓL(1,𝔽8)×C25 | — | 14 | 8 | no | — |
| 25 | C5×C7⋊D7 | — | 3 | 1 | no | — |
| 26 | C3×D3×C25 | — | 49 | 1 | no | Hall |
| 27 | C3×#3861 | C2×C25 | 1 | 1 | yes | characteristic, complemented, Hall |
| 28 | D7×C25 | — | 21 | 8 | no | — |
| 29 | C3×C5×ΓL(1,𝔽8) | — | 7 | 8 | no | — |
| 30 | C3⋊(C7⋊D7) | C3×C25 | 1 | 1 | yes | characteristic, complemented |
| 31 | #64424 | — | 3 | 1 | no | — |
| 32 | C5×C72 | C3×C5×D3 | 1 | 1 | yes | characteristic |
| 33 | C32×C25 | — | 49 | 1 | no | Hall |
| 34 | C5×D21 | — | 7 | 8 | no | — |
| 35 | C5×AGL(1,𝔽7) | — | 21 | 8 | no | — |
| 36 | C7×C25 | C3⋊AGL(1,𝔽7) | 1 | 8 | yes | complemented |
| 37 | C2×C3×C25 | — | 147 | 1 | no | — |
| 38 | D3×C25 | — | 49 | 1 | no | — |
| 39 | C3×C72 | C2×C3×C25 | 1 | 1 | yes | characteristic, complemented |
| 40 | #3861 | — | 2 | 1 | no | — |
| 41 | #3861 | D3×C25 | 1 | 1 | yes | characteristic, complemented |
| 42 | C3⋊AGL(1,𝔽7) | — | 7 | 8 | no | — |
| 43 | C3×C5×C7 | C5×AGL(1,𝔽7) | 1 | 8 | yes | — |
| 44 | C5×ΓL(1,𝔽8) | — | 7 | 8 | no | — |
| 45 | C5×ΓL(1,𝔽8) | — | 14 | 8 | no | — |
| 46 | C7⋊D7 | — | 3 | 1 | no | Hall |
| 47 | C3×C5×D3 | — | 49 | 1 | no | — |
| 48 | C3×C25 | — | 49 | 1 | no | — |
| 49 | C3×C25 | — | 98 | 1 | no | — |
| 50 | C3×C25 | #64424 | 1 | 1 | yes | characteristic, complemented |
| 51 | C5×D7 | — | 21 | 8 | no | — |
| 52 | C3×ΓL(1,𝔽8) | — | 7 | 8 | no | — |
| 53 | C2×C25 | — | 147 | 1 | no | Hall |
| 54 | C72 | C3×D3×C25 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 55 | C32×C5 | — | 49 | 1 | no | — |
| 56 | D21 | — | 7 | 8 | no | — |
| 57 | AGL(1,𝔽7) | — | 21 | 8 | no | — |
| 58 | C5×C7 | C5×C3⋊AGL(1,𝔽7) | 1 | 8 | yes | — |
| 59 | C2×C3×C5 | — | 147 | 1 | no | — |
| 60 | C5×D3 | — | 49 | 1 | no | — |
| 61 | C25 | C3⋊#64424 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 62 | C3×C7 | C25×AGL(1,𝔽7) | 1 | 8 | yes | complemented |
| 63 | ΓL(1,𝔽8) | — | 7 | 8 | no | — |
| 64 | ΓL(1,𝔽8) | — | 14 | 8 | no | — |
| 65 | C3×D3 | — | 49 | 1 | no | Hall |
| 66 | C3×C5 | — | 49 | 1 | no | — |
| 67 | C3×C5 | — | 98 | 1 | no | — |
| 68 | C3×C5 | C5×#64424 | 1 | 1 | yes | characteristic |
| 69 | D7 | — | 21 | 8 | no | — |
| 70 | C2×C5 | — | 147 | 1 | no | — |
| 71 | C32 | — | 49 | 1 | no | Sylow |
| 72 | C7 | C25×C3⋊AGL(1,𝔽7) | 1 | 8 | yes | complemented |
| 73 | C2×C3 | — | 147 | 1 | no | — |
| 74 | D3 | — | 49 | 1 | no | — |
| 75 | C5 | C5×C3⋊#64424 | 1 | 1 | yes | characteristic |
| 76 | C3 | — | 49 | 1 | no | — |
| 77 | C3 | — | 98 | 1 | no | — |
| 78 | C3 | C25×#64424 | 1 | 1 | yes | characteristic, complemented |
| 79 | C2 | — | 147 | 1 | no | Sylow |
Finite Group Databasebeta