| 1 | C32×C31×C5⋊D5 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C3⋊(C31⋊#1043) | C3 | 1 | 1 | yes | maximal, characteristic, direct product factor |
| 3 | C3×C31⋊#1043 | — | 3 | 1 | no | maximal |
| 4 | C32×C52×C31 | C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 5 | C3×C3⋊(C31⋊AGL(1,𝔽5)) | — | 5 | 6 | no | maximal |
| 6 | C3×C31×C5⋊D5 | — | 2 | 1 | no | — |
| 7 | C3×C31×C5⋊D5 | D3 | 1 | 1 | yes | characteristic |
| 8 | C3×C31×C5⋊D5 | C2×C3 | 1 | 1 | yes | characteristic |
| 9 | C31⋊#1043 | — | 3 | 1 | no | Hall |
| 10 | C32×D5×C31 | — | 5 | 6 | no | — |
| 11 | C3×C52×C31 | — | 2 | 1 | no | — |
| 12 | C3×C52×C31 | Dic3 | 1 | 1 | yes | characteristic, complemented |
| 13 | C3×C52×C31 | C3×C4 | 1 | 1 | yes | characteristic, complemented |
| 14 | C3⋊(C31⋊AGL(1,𝔽5)) | — | 5 | 6 | no | — |
| 15 | C3×C31⋊AGL(1,𝔽5) | — | 15 | 6 | no | — |
| 16 | C31×C5⋊D5 | C3×D3 | 1 | 1 | yes | characteristic |
| 17 | C32×C5×C31 | AGL(1,𝔽5) | 1 | 6 | yes | complemented |
| 18 | C3×Dic93 | — | 25 | 1 | no | Hall |
| 19 | C3×D5×C31 | — | 5 | 6 | no | — |
| 20 | C3×D5×C31 | — | 5 | 6 | no | — |
| 21 | C3×D5×C31 | — | 10 | 6 | no | — |
| 22 | C3×C3⋊#1043 | — | 31 | 1 | no | maximal, Hall |
| 23 | C52×C31 | C3×Dic3 | 1 | 1 | yes | characteristic, complemented, Hall |
| 24 | C31⋊AGL(1,𝔽5) | — | 15 | 6 | no | — |
| 25 | C2×C32×C31 | — | 25 | 1 | no | — |
| 26 | C3×C5×C31 | — | 2 | 6 | no | — |
| 27 | C3×C5×C31 | C3×AGL(1,𝔽5) | 1 | 6 | yes | complemented |
| 28 | C3×C5×C31 | ΓL(1,𝔽16) | 1 | 6 | yes | complemented |
| 29 | C32×C5⋊D5 | D31 | 1 | 1 | yes | characteristic |
| 30 | Dic93 | — | 25 | 1 | no | — |
| 31 | C3×Dic31 | — | 75 | 1 | no | — |
| 32 | D5×C31 | — | 5 | 6 | no | — |
| 33 | C3⋊#1043 | — | 31 | 1 | no | — |
| 34 | C3×#1043 | — | 93 | 1 | no | — |
| 35 | C32×C31 | #1043 | 1 | 1 | yes | characteristic, complemented, Hall |
| 36 | C32×C52 | Dic31 | 1 | 1 | yes | characteristic, complemented, Hall |
| 37 | C2×C3×C31 | — | 25 | 1 | no | — |
| 38 | C2×C3×C31 | — | 25 | 1 | no | — |
| 39 | C2×C3×C31 | — | 50 | 1 | no | — |
| 40 | C3×ΓL(1,𝔽16) | — | 155 | 6 | no | — |
| 41 | C5×C31 | C3×ΓL(1,𝔽16) | 1 | 6 | yes | complemented |
| 42 | C3×C5⋊D5 | — | 2 | 1 | no | — |
| 43 | C3×C5⋊D5 | C3×D31 | 1 | 1 | yes | characteristic |
| 44 | C3×C5⋊D5 | D93 | 1 | 1 | yes | characteristic |
| 45 | Dic31 | — | 75 | 1 | no | Hall |
| 46 | #1043 | — | 93 | 1 | no | Hall |
| 47 | C3×C31 | — | 2 | 1 | no | — |
| 48 | C3×C31 | C3×#1043 | 1 | 1 | yes | characteristic, complemented |
| 49 | C3×C31 | C3⋊#1043 | 1 | 1 | yes | characteristic, complemented |
| 50 | C32×D5 | — | 5 | 6 | no | — |
| 51 | C3×C52 | — | 2 | 1 | no | — |
| 52 | C3×C52 | C3×Dic31 | 1 | 1 | yes | characteristic, complemented |
| 53 | C3×C52 | Dic93 | 1 | 1 | yes | characteristic, complemented |
| 54 | C2×C31 | — | 25 | 1 | no | — |
| 55 | ΓL(1,𝔽16) | — | 155 | 6 | no | — |
| 56 | C3×AGL(1,𝔽5) | — | 465 | 6 | no | — |
| 57 | C5⋊D5 | C3×D93 | 1 | 1 | yes | characteristic |
| 58 | C32×C5 | C31⋊AGL(1,𝔽5) | 1 | 6 | yes | complemented |
| 59 | C3×Dic3 | — | 775 | 1 | no | Hall |
| 60 | C31 | C3×C3⋊#1043 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 61 | C3×D5 | — | 5 | 6 | no | — |
| 62 | C3×D5 | — | 5 | 6 | no | — |
| 63 | C3×D5 | — | 10 | 6 | no | — |
| 64 | C52 | C3×Dic93 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 65 | AGL(1,𝔽5) | — | 465 | 6 | no | — |
| 66 | C2×C32 | — | 25 | 1 | no | — |
| 67 | C3×C5 | — | 2 | 6 | no | — |
| 68 | C3×C5 | C3×C31⋊AGL(1,𝔽5) | 1 | 6 | yes | complemented |
| 69 | C3×C5 | C3⋊(C31⋊AGL(1,𝔽5)) | 1 | 6 | yes | complemented |
| 70 | C3×C4 | — | 2325 | 1 | no | — |
| 71 | Dic3 | — | 775 | 1 | no | — |
| 72 | D5 | — | 5 | 6 | no | — |
| 73 | C32 | C31⋊#1043 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 74 | C2×C3 | — | 25 | 1 | no | — |
| 75 | C2×C3 | — | 25 | 1 | no | — |
| 76 | C2×C3 | — | 50 | 1 | no | — |
| 77 | C5 | C3×C3⋊(C31⋊AGL(1,𝔽5)) | 1 | 6 | yes | complemented |
| 78 | C4 | — | 2325 | 1 | no | Sylow |
| 79 | C3 | — | 2 | 1 | no | — |
| 80 | C3 | C3×C31⋊#1043 | 1 | 1 | yes | characteristic, complemented |
| 81 | C3 | C3⋊(C31⋊#1043) | 1 | 1 | yes | characteristic, direct product factor |
| 82 | C2 | — | 25 | 1 | no | — |
Finite Group Databasebeta