| 1 | C5×#41⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | D5×SL(2,𝔽3) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C5⋊(#41⋊C3) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | D5×#41 | C3 | 1 | 1 | yes | maximal, characteristic, complemented, Hall |
| 5 | C3×C4×D5 | — | 4 | 1 | no | maximal |
| 6 | C5×SL(2,𝔽3) | C22 | 1 | 1 | yes | characteristic, complemented |
| 7 | C2×#41⋊C3 | — | 5 | 1 | no | maximal, Hall |
| 8 | C5×#41 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 9 | #713 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 10 | Q8×D5 | C2×C3 | 1 | 1 | yes | characteristic |
| 11 | #711 | — | 3 | 1 | no | — |
| 12 | D4×D5 | — | 3 | 1 | no | — |
| 13 | #709 | — | 3 | 1 | no | — |
| 14 | C2×C4×D5 | — | 3 | 1 | no | — |
| 15 | C2×C3×D5 | — | 4 | 1 | no | — |
| 16 | C3×C4×C5 | — | 4 | 1 | no | — |
| 17 | C3×Dic5 | — | 4 | 1 | no | — |
| 18 | #41⋊C3 | — | 5 | 1 | no | — |
| 19 | #41⋊C3 | D5 | 1 | 1 | yes | characteristic, direct product factor |
| 20 | C2×SL(2,𝔽3) | — | 5 | 1 | no | — |
| 21 | C22×D5 | — | 3 | 1 | no | — |
| 22 | C5×Q8 | C22×C3 | 1 | 1 | yes | characteristic |
| 23 | C5×D4 | — | 3 | 1 | no | — |
| 24 | C2×C4×C5 | — | 3 | 1 | no | — |
| 25 | C22⋊D5 | — | 3 | 2 | no | — |
| 26 | C2×Dic5 | — | 3 | 1 | no | — |
| 27 | D20 | — | 3 | 1 | no | — |
| 28 | C4×D5 | — | 3 | 1 | no | — |
| 29 | C4×D5 | — | 3 | 1 | no | — |
| 30 | C4×D5 | — | 3 | 1 | no | — |
| 31 | C4×D5 | A4 | 1 | 1 | yes | characteristic |
| 32 | Dic10 | — | 3 | 1 | no | — |
| 33 | C2×#41 | — | 5 | 1 | no | Sylow |
| 34 | C2×C3×C5 | — | 4 | 1 | no | — |
| 35 | C3×D5 | — | 4 | 2 | no | — |
| 36 | C2×C3×C4 | — | 20 | 1 | no | — |
| 37 | SL(2,𝔽3) | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 38 | C22×C5 | — | 3 | 1 | no | — |
| 39 | C2×D5 | — | 3 | 1 | no | — |
| 40 | C2×D5 | — | 6 | 2 | no | — |
| 41 | C2×D5 | C2×A4 | 1 | 1 | yes | characteristic |
| 42 | C4×C5 | — | 3 | 1 | no | — |
| 43 | C4×C5 | C2×A4 | 1 | 1 | yes | characteristic |
| 44 | Dic5 | — | 3 | 1 | no | — |
| 45 | Dic5 | C2×A4 | 1 | 1 | yes | characteristic |
| 46 | #41 | — | 5 | 1 | no | — |
| 47 | #41 | — | 15 | 1 | no | — |
| 48 | #41 | — | 15 | 1 | no | — |
| 49 | #41 | C3×D5 | 1 | 1 | yes | characteristic, complemented |
| 50 | C2×Q8 | — | 5 | 1 | no | — |
| 51 | C2×D4 | — | 15 | 1 | no | — |
| 52 | C22×C4 | — | 15 | 1 | no | — |
| 53 | C3×C5 | — | 4 | 1 | no | Hall |
| 54 | C22×C3 | — | 20 | 1 | no | — |
| 55 | C3×C4 | — | 4 | 1 | no | — |
| 56 | C3×C4 | — | 20 | 1 | no | — |
| 57 | C2×C5 | — | 6 | 1 | no | — |
| 58 | C2×C5 | C22×A4 | 1 | 1 | yes | characteristic |
| 59 | D5 | — | 6 | 1 | no | — |
| 60 | D5 | #41⋊C3 | 1 | 2 | yes | direct product factor |
| 61 | C23 | — | 15 | 1 | no | — |
| 62 | Q8 | — | 15 | 1 | no | — |
| 63 | Q8 | C2×C3×D5 | 1 | 1 | yes | characteristic |
| 64 | D4 | — | 3 | 1 | no | — |
| 65 | D4 | — | 15 | 1 | no | — |
| 66 | D4 | — | 15 | 2 | no | — |
| 67 | C2×C4 | — | 3 | 1 | no | — |
| 68 | C2×C4 | — | 5 | 1 | no | — |
| 69 | C2×C4 | — | 15 | 1 | no | — |
| 70 | C2×C4 | — | 15 | 1 | no | — |
| 71 | C2×C4 | — | 15 | 1 | no | — |
| 72 | C2×C4 | — | 15 | 1 | no | — |
| 73 | C2×C3 | — | 4 | 1 | no | — |
| 74 | C2×C3 | — | 20 | 2 | no | — |
| 75 | C5 | C2×#41⋊C3 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 76 | C22 | — | 3 | 1 | no | — |
| 77 | C22 | — | 5 | 1 | no | — |
| 78 | C22 | — | 15 | 1 | no | — |
| 79 | C22 | — | 30 | 2 | no | — |
| 80 | C4 | — | 3 | 1 | no | — |
| 81 | C4 | — | 5 | 1 | no | — |
| 82 | C4 | — | 15 | 1 | no | — |
| 83 | C4 | D5×A4 | 1 | 1 | yes | characteristic |
| 84 | C3 | — | 4 | 1 | no | Sylow |
| 85 | C2 | — | 5 | 2 | no | — |
| 86 | C2 | — | 6 | 1 | no | — |
| 87 | C2 | — | 30 | 1 | no | — |
| 88 | C2 | C2×D5×A4 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta