| 1 | C5×PSU(3,𝔽2)⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C5×AΓL(1,𝔽9) | — | 3 | 1 | no | maximal |
| 3 | C5×((C3⋊D3)⋊C3)⋊C2 | — | 4 | 1 | no | maximal |
| 4 | AGL(2,𝔽3) | C5 | 1 | 1 | yes | maximal, characteristic, direct product factor, Hall |
| 5 | C5×PSU(3,𝔽2) | D3 | 1 | 1 | yes | characteristic, complemented |
| 6 | C5×GO+(4,𝔽2) | — | 3 | 1 | no | — |
| 7 | C5×AGL(1,𝔽9) | — | 3 | 1 | no | — |
| 8 | C5×#272 | — | 4 | 1 | no | — |
| 9 | C5×(C3⋊D3)⋊C3 | — | 4 | 1 | no | — |
| 10 | C5×(C3⋊D3)⋊C3 | — | 4 | 1 | no | — |
| 11 | C5×GL(2,𝔽3) | — | 9 | 1 | no | maximal |
| 12 | PSU(3,𝔽2)⋊C3 | C2×C5 | 1 | 1 | yes | characteristic, complemented |
| 13 | C5×D32 | — | 6 | 1 | no | — |
| 14 | C5×D32 | — | 12 | 1 | no | — |
| 15 | C5×#157 | — | 3 | 1 | no | — |
| 16 | AΓL(1,𝔽9) | — | 3 | 1 | no | — |
| 17 | C5×H(3,𝔽3) | — | 4 | 1 | no | Hall |
| 18 | C5×SL(2,𝔽3) | — | 9 | 1 | no | — |
| 19 | ((C3⋊D3)⋊C3)⋊C2 | — | 4 | 1 | no | — |
| 20 | C5×C3⋊D3 | — | 4 | 1 | no | — |
| 21 | C5×C3⋊D3 | S4 | 1 | 1 | yes | characteristic |
| 22 | C3×C5×D3 | — | 12 | 1 | no | — |
| 23 | C3×C5×D3 | — | 12 | 1 | no | — |
| 24 | C3×C5×D3 | — | 12 | 1 | no | — |
| 25 | C3×C5×D3 | — | 24 | 1 | no | — |
| 26 | C5×SD16 | — | 27 | 1 | no | Hall |
| 27 | PSU(3,𝔽2) | C5×D3 | 1 | 1 | yes | characteristic, complemented |
| 28 | GO+(4,𝔽2) | — | 3 | 1 | no | — |
| 29 | AGL(1,𝔽9) | — | 3 | 1 | no | — |
| 30 | C2×C5×D3 | — | 36 | 1 | no | — |
| 31 | C2×C5×D3 | — | 36 | 1 | no | — |
| 32 | #272 | — | 4 | 1 | no | — |
| 33 | (C3⋊D3)⋊C3 | — | 4 | 1 | no | — |
| 34 | (C3⋊D3)⋊C3 | — | 4 | 1 | no | — |
| 35 | GL(2,𝔽3) | — | 9 | 1 | no | — |
| 36 | C32×C5 | — | 4 | 1 | no | — |
| 37 | C32×C5 | — | 8 | 1 | no | — |
| 38 | C32×C5 | GL(2,𝔽3) | 1 | 1 | yes | characteristic, complemented |
| 39 | C5×Q8 | — | 9 | 1 | no | — |
| 40 | C5×D4 | — | 27 | 1 | no | — |
| 41 | C5×C8 | — | 27 | 1 | no | — |
| 42 | D32 | — | 6 | 1 | no | — |
| 43 | D32 | — | 12 | 1 | no | — |
| 44 | #157 | — | 3 | 1 | no | — |
| 45 | C2×C3×C5 | — | 36 | 1 | no | — |
| 46 | C2×C3×C5 | — | 36 | 1 | no | — |
| 47 | C5×D3 | — | 12 | 1 | no | — |
| 48 | C5×D3 | — | 12 | 1 | no | — |
| 49 | C5×D3 | — | 12 | 1 | no | — |
| 50 | C5×D3 | — | 24 | 1 | no | — |
| 51 | C5×D3 | — | 36 | 1 | no | — |
| 52 | H(3,𝔽3) | — | 4 | 1 | no | Sylow |
| 53 | SL(2,𝔽3) | — | 9 | 1 | no | — |
| 54 | C22×C5 | — | 54 | 1 | no | — |
| 55 | C4×C5 | — | 27 | 1 | no | — |
| 56 | C3⋊D3 | — | 4 | 1 | no | — |
| 57 | C3⋊D3 | C5×S4 | 1 | 1 | yes | characteristic |
| 58 | C3×D3 | — | 12 | 1 | no | — |
| 59 | C3×D3 | — | 12 | 1 | no | — |
| 60 | C3×D3 | — | 12 | 1 | no | — |
| 61 | C3×D3 | — | 24 | 1 | no | — |
| 62 | SD16 | — | 27 | 1 | no | Sylow |
| 63 | C3×C5 | — | 4 | 1 | no | — |
| 64 | C3×C5 | — | 12 | 1 | no | — |
| 65 | C3×C5 | — | 24 | 1 | no | — |
| 66 | C2×D3 | — | 36 | 1 | no | — |
| 67 | C2×D3 | — | 36 | 1 | no | — |
| 68 | C2×C5 | — | 9 | 1 | no | — |
| 69 | C2×C5 | — | 36 | 1 | no | — |
| 70 | C32 | — | 4 | 1 | no | — |
| 71 | C32 | — | 8 | 1 | no | — |
| 72 | C32 | C5×GL(2,𝔽3) | 1 | 1 | yes | characteristic, complemented |
| 73 | Q8 | — | 9 | 1 | no | — |
| 74 | D4 | — | 27 | 1 | no | — |
| 75 | C8 | — | 27 | 1 | no | — |
| 76 | C2×C3 | — | 36 | 1 | no | — |
| 77 | C2×C3 | — | 36 | 1 | no | — |
| 78 | D3 | — | 12 | 1 | no | — |
| 79 | D3 | — | 12 | 1 | no | — |
| 80 | D3 | — | 12 | 1 | no | — |
| 81 | D3 | — | 24 | 1 | no | — |
| 82 | D3 | — | 36 | 1 | no | — |
| 83 | C5 | AGL(2,𝔽3) | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 84 | C22 | — | 54 | 1 | no | — |
| 85 | C4 | — | 27 | 1 | no | — |
| 86 | C3 | — | 4 | 1 | no | — |
| 87 | C3 | — | 12 | 1 | no | — |
| 88 | C3 | — | 24 | 1 | no | — |
| 89 | C2 | — | 9 | 1 | no | — |
| 90 | C2 | — | 36 | 1 | no | — |
Finite Group Databasebeta