| 1 | C32×D925 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C3⋊#16814855 | C3 | 1 | 1 | yes | maximal, characteristic, direct product factor |
| 3 | C3×#16814855 | — | 3 | 1 | no | maximal |
| 4 | C32×C25×C37 | C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 5 | C3×C3⋊#10625192 | — | 5 | 1 | no | maximal |
| 6 | C3×D925 | — | 2 | 1 | no | — |
| 7 | C3×D925 | D3 | 1 | 1 | yes | characteristic |
| 8 | C3×D925 | C2×C3 | 1 | 1 | yes | characteristic |
| 9 | #16814855 | — | 3 | 1 | no | Hall |
| 10 | C32×D185 | — | 5 | 1 | no | — |
| 11 | C3×C25×C37 | — | 2 | 1 | no | — |
| 12 | C3×C25×C37 | Dic3 | 1 | 1 | yes | characteristic, complemented |
| 13 | C3×C25×C37 | C3×C4 | 1 | 1 | yes | characteristic, complemented |
| 14 | C3⋊#10625192 | — | 5 | 1 | no | — |
| 15 | C3×#10625192 | — | 15 | 1 | no | — |
| 16 | D925 | C3×D3 | 1 | 1 | yes | characteristic |
| 17 | C32×C5×C37 | AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 18 | C3×C3⋊#3866 | — | 25 | 1 | no | Hall |
| 19 | C3×D185 | — | 5 | 1 | no | — |
| 20 | C3×D185 | — | 5 | 1 | no | — |
| 21 | C3×D185 | — | 10 | 1 | no | — |
| 22 | C25×C37 | C3×Dic3 | 1 | 1 | yes | characteristic, complemented, Hall |
| 23 | C3×C3⋊#1035 | — | 37 | 1 | no | maximal, Hall |
| 24 | #10625192 | — | 15 | 1 | no | — |
| 25 | C32×D37 | — | 25 | 1 | no | — |
| 26 | C3×C5×C37 | — | 2 | 1 | no | — |
| 27 | C3×C5×C37 | C3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 28 | C3×C5×C37 | ΓL(1,𝔽16) | 1 | 1 | yes | characteristic |
| 29 | C32×D25 | — | 37 | 1 | no | — |
| 30 | C3⋊#3866 | — | 25 | 1 | no | — |
| 31 | C3×#3866 | — | 75 | 1 | no | — |
| 32 | D185 | — | 5 | 1 | no | — |
| 33 | C32×C37 | #1035 | 1 | 1 | yes | characteristic, complemented, Hall |
| 34 | C3⋊#1035 | — | 37 | 1 | no | — |
| 35 | C3×#1035 | — | 111 | 1 | no | — |
| 36 | C32×C25 | #3866 | 1 | 1 | yes | characteristic, complemented, Hall |
| 37 | C3×D37 | — | 25 | 1 | no | — |
| 38 | C3×D37 | — | 25 | 1 | no | — |
| 39 | C3×D37 | — | 50 | 1 | no | — |
| 40 | C5×C37 | C3×ΓL(1,𝔽16) | 1 | 1 | yes | characteristic |
| 41 | C3×ΓL(1,𝔽16) | — | 185 | 1 | no | — |
| 42 | C3×D25 | — | 37 | 1 | no | — |
| 43 | C3×D25 | — | 37 | 1 | no | — |
| 44 | C3×D25 | — | 74 | 1 | no | — |
| 45 | #3866 | — | 75 | 1 | no | Hall |
| 46 | C3×C37 | — | 2 | 1 | no | — |
| 47 | C3×C37 | C3×#1035 | 1 | 1 | yes | characteristic, complemented |
| 48 | C3×C37 | C3⋊#1035 | 1 | 1 | yes | characteristic, complemented |
| 49 | #1035 | — | 111 | 1 | no | Hall |
| 50 | C32×D5 | — | 185 | 1 | no | — |
| 51 | C3×C25 | — | 2 | 1 | no | — |
| 52 | C3×C25 | C3×#3866 | 1 | 1 | yes | characteristic, complemented |
| 53 | C3×C25 | C3⋊#3866 | 1 | 1 | yes | characteristic, complemented |
| 54 | D37 | — | 25 | 1 | no | — |
| 55 | ΓL(1,𝔽16) | — | 185 | 1 | no | — |
| 56 | C3×AGL(1,𝔽5) | — | 555 | 1 | no | — |
| 57 | D25 | — | 37 | 1 | no | — |
| 58 | C32×C5 | #10625192 | 1 | 1 | yes | characteristic |
| 59 | C37 | C3×C3⋊#1035 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 60 | C3×Dic3 | — | 925 | 1 | no | Hall |
| 61 | C3×D5 | — | 370 | 1 | no | — |
| 62 | C3×D5 | — | 185 | 1 | no | — |
| 63 | C3×D5 | — | 185 | 1 | no | — |
| 64 | C25 | C3×C3⋊#3866 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 65 | AGL(1,𝔽5) | — | 555 | 1 | no | — |
| 66 | C2×C32 | — | 925 | 1 | no | — |
| 67 | C3×C5 | — | 2 | 1 | no | — |
| 68 | C3×C5 | C3×#10625192 | 1 | 1 | yes | characteristic |
| 69 | C3×C5 | C3⋊#10625192 | 1 | 1 | yes | characteristic |
| 70 | C3×C4 | — | 2775 | 1 | no | — |
| 71 | Dic3 | — | 925 | 1 | no | — |
| 72 | D5 | — | 185 | 1 | no | — |
| 73 | C32 | #16814855 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 74 | C2×C3 | — | 1850 | 1 | no | — |
| 75 | C2×C3 | — | 925 | 1 | no | — |
| 76 | C2×C3 | — | 925 | 1 | no | — |
| 77 | C5 | C3×C3⋊#10625192 | 1 | 1 | yes | characteristic |
| 78 | C4 | — | 2775 | 1 | no | Sylow |
| 79 | C3 | — | 2 | 1 | no | — |
| 80 | C3 | C3×#16814855 | 1 | 1 | yes | characteristic, complemented |
| 81 | C3 | C3⋊#16814855 | 1 | 1 | yes | characteristic, direct product factor |
| 82 | C2 | — | 925 | 1 | no | — |
Finite Group Databasebeta