| 1 | Q8×H(3,𝔽5) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C4⋊((C5⋊D5)⋊C5) | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #6029⋊C5 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×(C5⋊D5)⋊C5 | — | 2 | 1 | no | — |
| 5 | C4×H(3,𝔽5) | — | 2 | 1 | no | — |
| 6 | C4×H(3,𝔽5) | C22 | 1 | 1 | yes | characteristic |
| 7 | #87811 | C5 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C5×#688 | — | 5 | 1 | no | maximal |
| 9 | C2×H(3,𝔽5) | D4 | 1 | 1 | yes | characteristic |
| 10 | (C5⋊D5)⋊C5 | — | 4 | 1 | no | — |
| 11 | C52×Q8 | — | 2 | 2 | no | — |
| 12 | C52×Q8 | D5 | 1 | 1 | yes | characteristic, complemented |
| 13 | C52×Q8 | C2×C5 | 1 | 1 | yes | characteristic, complemented |
| 14 | C4⋊(C5⋊D5) | C2×C5 | 1 | 1 | yes | characteristic |
| 15 | C5×D20 | — | 5 | 1 | no | — |
| 16 | #6029 | C2×C5 | 1 | 1 | yes | characteristic, complemented |
| 17 | C5×#168 | — | 5 | 1 | no | — |
| 18 | H(3,𝔽5) | SD16 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 19 | C2×C5⋊D5 | — | 2 | 1 | no | — |
| 20 | C2×C5×D5 | — | 10 | 1 | no | — |
| 21 | C4×C52 | — | 2 | 4 | no | — |
| 22 | C4×C52 | — | 2 | 2 | no | — |
| 23 | C4×C52 | — | 2 | 1 | no | — |
| 24 | C4×C52 | — | 2 | 1 | no | — |
| 25 | C4×C52 | C2×D5 | 1 | 1 | yes | characteristic |
| 26 | C4×C52 | C22×C5 | 1 | 1 | yes | characteristic |
| 27 | C5×SD16 | — | 25 | 1 | no | — |
| 28 | #688 | — | 5 | 1 | no | — |
| 29 | #688 | — | 25 | 1 | no | — |
| 30 | C2×C52 | — | 2 | 2 | no | — |
| 31 | C2×C52 | C22⋊D5 | 1 | 1 | yes | characteristic |
| 32 | C2×C52 | C5×D4 | 1 | 1 | yes | characteristic |
| 33 | C5⋊D5 | — | 4 | 1 | no | — |
| 34 | C5×D5 | — | 20 | 1 | no | — |
| 35 | C5×Q8 | — | 5 | 1 | no | — |
| 36 | C5×Q8 | — | 5 | 1 | no | — |
| 37 | C5×Q8 | — | 10 | 2 | no | — |
| 38 | C5×Q8 | C5×D5 | 1 | 1 | yes | characteristic |
| 39 | C5×D4 | — | 25 | 1 | no | — |
| 40 | D20 | — | 5 | 1 | no | — |
| 41 | D20 | — | 25 | 1 | no | — |
| 42 | C5×C8 | — | 25 | 1 | no | — |
| 43 | #168 | — | 5 | 1 | no | — |
| 44 | #168 | — | 25 | 1 | no | — |
| 45 | C52 | — | 2 | 2 | no | — |
| 46 | C52 | #688 | 1 | 1 | yes | characteristic, complemented |
| 47 | C52 | C5×SD16 | 1 | 1 | yes | characteristic, complemented |
| 48 | C22×C5 | — | 50 | 1 | no | — |
| 49 | C2×D5 | — | 10 | 1 | no | — |
| 50 | C2×D5 | — | 50 | 1 | no | — |
| 51 | C4×C5 | — | 2 | 1 | no | — |
| 52 | C4×C5 | — | 5 | 1 | no | — |
| 53 | C4×C5 | — | 5 | 1 | no | — |
| 54 | C4×C5 | — | 10 | 1 | no | — |
| 55 | C4×C5 | — | 10 | 1 | no | — |
| 56 | C4×C5 | — | 10 | 4 | no | — |
| 57 | C4×C5 | — | 10 | 2 | no | — |
| 58 | C4×C5 | C2×C5×D5 | 1 | 1 | yes | characteristic |
| 59 | SD16 | — | 25 | 1 | no | Sylow |
| 60 | C2×C5 | — | 5 | 1 | no | — |
| 61 | C2×C5 | — | 5 | 1 | no | — |
| 62 | C2×C5 | — | 10 | 2 | no | — |
| 63 | C2×C5 | — | 100 | 1 | no | — |
| 64 | C2×C5 | C5×C22⋊D5 | 1 | 1 | yes | characteristic |
| 65 | D5 | — | 20 | 1 | no | — |
| 66 | D5 | — | 100 | 1 | no | — |
| 67 | Q8 | (C5⋊D5)⋊C5 | 1 | 1 | yes | characteristic, complemented |
| 68 | D4 | — | 25 | 1 | no | — |
| 69 | C8 | — | 25 | 1 | no | — |
| 70 | C5 | — | 5 | 1 | no | — |
| 71 | C5 | — | 5 | 1 | no | — |
| 72 | C5 | — | 10 | 2 | no | — |
| 73 | C5 | C5×#688 | 1 | 1 | yes | characteristic |
| 74 | C22 | — | 50 | 1 | no | — |
| 75 | C4 | — | 2 | 1 | no | — |
| 76 | C4 | C2×(C5⋊D5)⋊C5 | 1 | 1 | yes | characteristic |
| 77 | C2 | — | 100 | 1 | no | — |
| 78 | C2 | C22⋊((C5⋊D5)⋊C5) | 1 | 1 | yes | characteristic |
Finite Group Databasebeta