| 1 | C5×D3×#41 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C3×C5×#131 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C5×#948 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C5×#907 | C2 | 1 | 3 | yes | maximal, complemented |
| 5 | C5×D3×M16 | C2 | 1 | 3 | yes | maximal, complemented |
| 6 | C5×#901 | C2 | 1 | 3 | yes | maximal, complemented |
| 7 | C2×C5×ΓL(1,𝔽25) | C2 | 1 | 3 | yes | maximal, complemented |
| 8 | C5×#568 | — | 3 | 1 | no | maximal, Hall |
| 9 | C3×C5×#41 | C22 | 1 | 1 | yes | characteristic |
| 10 | C5×#239 | C4 | 1 | 1 | yes | characteristic |
| 11 | C5×D3×Q8 | C4 | 1 | 1 | yes | characteristic |
| 12 | C5×#237 | C4 | 1 | 3 | yes | — |
| 13 | C5×D3×D4 | C4 | 1 | 3 | yes | — |
| 14 | C5×#235 | C22 | 1 | 3 | yes | — |
| 15 | C2×C4×C5×D3 | C22 | 1 | 3 | yes | — |
| 16 | C3×C5×M16 | C22 | 1 | 3 | yes | complemented |
| 17 | C2×C3×C5×C8 | C22 | 1 | 3 | yes | complemented |
| 18 | C5×#208 | C22 | 1 | 3 | yes | complemented |
| 19 | C2×C5×C3⋊C8 | C22 | 1 | 3 | yes | complemented |
| 20 | C5×ΓL(1,𝔽25) | C22 | 1 | 1 | yes | characteristic |
| 21 | C5×ΓL(1,𝔽25) | C22 | 1 | 3 | yes | — |
| 22 | C5×ΓL(1,𝔽25) | C22 | 1 | 3 | yes | complemented |
| 23 | C5×ΓL(1,𝔽25) | C22 | 1 | 3 | yes | complemented |
| 24 | C5×D3×C8 | C22 | 1 | 6 | yes | complemented |
| 25 | #5750 | C5 | 1 | 1 | yes | maximal, characteristic, direct product factor, Hall |
| 26 | C2×C5×#41 | — | 3 | 1 | no | — |
| 27 | C5×#131 | — | 3 | 1 | no | — |
| 28 | C5×#131 | — | 3 | 3 | no | — |
| 29 | C5×#131 | — | 3 | 3 | no | — |
| 30 | C5×#131 | D3 | 1 | 1 | yes | characteristic, complemented |
| 31 | C2×C5×M16 | — | 3 | 3 | no | — |
| 32 | C2×C5×M16 | — | 3 | 3 | no | — |
| 33 | C22×C5×D3 | C2×C4 | 1 | 3 | yes | — |
| 34 | C3×C5×Q8 | C2×C4 | 1 | 1 | yes | characteristic |
| 35 | C3×C5×D4 | C2×C4 | 1 | 3 | yes | — |
| 36 | C2×C3×C4×C5 | C23 | 1 | 3 | yes | — |
| 37 | C5×#67 | C2×C4 | 1 | 6 | yes | — |
| 38 | C2×C5×Dic3 | C2×C4 | 1 | 3 | yes | — |
| 39 | C5×D12 | C2×C4 | 1 | 3 | yes | — |
| 40 | C4×C5×D3 | C2×C4 | 1 | 3 | yes | — |
| 41 | C4×C5×D3 | C2×C4 | 1 | 3 | yes | — |
| 42 | C4×C5×D3 | C23 | 1 | 3 | yes | — |
| 43 | C4×C5×D3 | C23 | 1 | 1 | yes | characteristic |
| 44 | C5×Dic6 | C2×C4 | 1 | 3 | yes | — |
| 45 | C3×C5×C8 | C23 | 1 | 3 | yes | — |
| 46 | C3×C5×C8 | C23 | 1 | 1 | yes | characteristic |
| 47 | C5×C3⋊C8 | C23 | 1 | 3 | yes | — |
| 48 | C5×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 49 | D3×#41 | C2×C5 | 1 | 1 | yes | characteristic |
| 50 | C3×#131 | C2×C5 | 1 | 1 | yes | characteristic, complemented |
| 51 | #948 | C2×C5 | 1 | 1 | yes | characteristic, complemented |
| 52 | #907 | C2×C5 | 1 | 3 | yes | complemented |
| 53 | D3×M16 | C2×C5 | 1 | 3 | yes | complemented |
| 54 | #901 | C2×C5 | 1 | 3 | yes | complemented |
| 55 | C2×ΓL(1,𝔽25) | C2×C5 | 1 | 3 | yes | complemented |
| 56 | C5×#41 | — | 3 | 1 | no | — |
| 57 | C5×#41 | — | 3 | 3 | no | — |
| 58 | C5×#41 | — | 3 | 3 | no | — |
| 59 | C5×#41 | C2×D3 | 1 | 1 | yes | characteristic |
| 60 | C2×C5×Q8 | — | 3 | 1 | no | — |
| 61 | C2×C5×D4 | — | 3 | 3 | no | — |
| 62 | C22×C4×C5 | — | 3 | 3 | no | — |
| 63 | C5×M16 | — | 3 | 3 | no | — |
| 64 | C5×M16 | — | 3 | 3 | no | — |
| 65 | C5×M16 | — | 3 | 1 | no | — |
| 66 | C5×M16 | — | 3 | 3 | no | — |
| 67 | C5×M16 | — | 3 | 3 | no | — |
| 68 | C5×M16 | C2×D3 | 1 | 3 | yes | complemented |
| 69 | C2×C5×C8 | — | 3 | 3 | no | — |
| 70 | C2×C5×C8 | — | 3 | 6 | no | — |
| 71 | C2×C5×C8 | C2×D3 | 1 | 3 | yes | complemented |
| 72 | #568 | — | 3 | 1 | no | Sylow |
| 73 | C22×C3×C5 | C22×C4 | 1 | 3 | yes | — |
| 74 | C2×C5×D3 | — | 4 | 3 | no | — |
| 75 | C2×C5×D3 | C22×C4 | 1 | 1 | yes | characteristic |
| 76 | C2×C5×D3 | C22×C4 | 1 | 3 | yes | — |
| 77 | C3×C4×C5 | C22×C4 | 1 | 3 | yes | — |
| 78 | C3×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 79 | C5×Dic3 | C22×C4 | 1 | 3 | yes | — |
| 80 | C5×Dic3 | C22×C4 | 1 | 1 | yes | characteristic |
| 81 | C3×#41 | C22×C5 | 1 | 1 | yes | characteristic |
| 82 | #239 | C4×C5 | 1 | 1 | yes | characteristic |
| 83 | D3×Q8 | C4×C5 | 1 | 1 | yes | characteristic |
| 84 | #237 | C4×C5 | 1 | 3 | yes | — |
| 85 | D3×D4 | C4×C5 | 1 | 3 | yes | — |
| 86 | #235 | C22×C5 | 1 | 3 | yes | — |
| 87 | C2×C4×D3 | C22×C5 | 1 | 3 | yes | — |
| 88 | C3×M16 | C22×C5 | 1 | 3 | yes | complemented |
| 89 | C2×C3×C8 | C22×C5 | 1 | 3 | yes | complemented |
| 90 | #208 | C22×C5 | 1 | 3 | yes | complemented |
| 91 | C2×C3⋊C8 | C22×C5 | 1 | 3 | yes | complemented |
| 92 | ΓL(1,𝔽25) | C22×C5 | 1 | 1 | yes | characteristic |
| 93 | ΓL(1,𝔽25) | C22×C5 | 1 | 3 | yes | — |
| 94 | ΓL(1,𝔽25) | C22×C5 | 1 | 3 | yes | complemented |
| 95 | ΓL(1,𝔽25) | C22×C5 | 1 | 3 | yes | complemented |
| 96 | D3×C8 | C22×C5 | 1 | 6 | yes | complemented |
| 97 | C23×C5 | — | 3 | 3 | no | — |
| 98 | C5×Q8 | — | 3 | 3 | no | — |
| 99 | C5×Q8 | C4×D3 | 1 | 1 | yes | characteristic |
| 100 | C5×D4 | — | 3 | 6 | no | — |
| 101 | C5×D4 | — | 3 | 3 | no | — |
| 102 | C5×D4 | C4×D3 | 1 | 3 | yes | — |
| 103 | C2×C4×C5 | — | 3 | 3 | no | — |
| 104 | C2×C4×C5 | — | 3 | 3 | no | — |
| 105 | C2×C4×C5 | — | 3 | 3 | no | — |
| 106 | C2×C4×C5 | — | 3 | 3 | no | — |
| 107 | C2×C4×C5 | — | 3 | 1 | no | — |
| 108 | C2×C4×C5 | C22×D3 | 1 | 3 | yes | — |
| 109 | C5×C8 | — | 3 | 3 | no | — |
| 110 | C5×C8 | — | 3 | 1 | no | — |
| 111 | C5×C8 | C22×D3 | 1 | 3 | yes | — |
| 112 | C5×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 113 | C2×#41 | — | 3 | 1 | no | — |
| 114 | #131 | — | 3 | 1 | no | — |
| 115 | #131 | — | 3 | 3 | no | — |
| 116 | #131 | — | 3 | 3 | no | — |
| 117 | #131 | C5×D3 | 1 | 1 | yes | characteristic, complemented |
| 118 | C2×M16 | — | 3 | 3 | no | — |
| 119 | C2×M16 | — | 3 | 3 | no | — |
| 120 | C2×C3×C5 | — | 2 | 3 | no | — |
| 121 | C2×C3×C5 | C23×C4 | 1 | 1 | yes | characteristic |
| 122 | C5×D3 | — | 2 | 1 | no | — |
| 123 | C5×D3 | — | 2 | 3 | no | — |
| 124 | C22×D3 | C2×C4×C5 | 1 | 3 | yes | — |
| 125 | C3×Q8 | C2×C4×C5 | 1 | 1 | yes | characteristic |
| 126 | C3×D4 | C2×C4×C5 | 1 | 3 | yes | — |
| 127 | C2×C3×C4 | C23×C5 | 1 | 3 | yes | — |
| 128 | #67 | C2×C4×C5 | 1 | 6 | yes | — |
| 129 | C2×Dic3 | C2×C4×C5 | 1 | 3 | yes | — |
| 130 | D12 | C2×C4×C5 | 1 | 3 | yes | — |
| 131 | C4×D3 | C2×C4×C5 | 1 | 3 | yes | — |
| 132 | C4×D3 | C2×C4×C5 | 1 | 3 | yes | — |
| 133 | C4×D3 | C23×C5 | 1 | 3 | yes | — |
| 134 | C4×D3 | C23×C5 | 1 | 1 | yes | characteristic |
| 135 | Dic6 | C2×C4×C5 | 1 | 3 | yes | — |
| 136 | C3×C8 | C23×C5 | 1 | 3 | yes | — |
| 137 | C3×C8 | C23×C5 | 1 | 1 | yes | characteristic |
| 138 | C3⋊C8 | C23×C5 | 1 | 3 | yes | — |
| 139 | C3⋊C8 | C23×C5 | 1 | 1 | yes | characteristic |
| 140 | C22×C5 | — | 3 | 1 | no | — |
| 141 | C22×C5 | — | 3 | 3 | no | — |
| 142 | C22×C5 | — | 12 | 3 | no | — |
| 143 | C22×C5 | C2×C4×D3 | 1 | 3 | yes | — |
| 144 | C4×C5 | — | 3 | 1 | no | — |
| 145 | C4×C5 | — | 3 | 3 | no | — |
| 146 | C4×C5 | C2×C4×D3 | 1 | 3 | yes | — |
| 147 | C4×C5 | C23×D3 | 1 | 1 | yes | characteristic |
| 148 | #41 | — | 3 | 1 | no | — |
| 149 | #41 | — | 3 | 3 | no | — |
| 150 | #41 | — | 3 | 3 | no | — |
| 151 | #41 | C2×C5×D3 | 1 | 1 | yes | characteristic |
| 152 | C2×Q8 | — | 3 | 1 | no | — |
| 153 | C2×D4 | — | 3 | 3 | no | — |
| 154 | C22×C4 | — | 3 | 3 | no | — |
| 155 | M16 | — | 3 | 3 | no | — |
| 156 | M16 | — | 3 | 3 | no | — |
| 157 | M16 | — | 3 | 1 | no | — |
| 158 | M16 | — | 3 | 3 | no | — |
| 159 | M16 | — | 3 | 3 | no | — |
| 160 | M16 | C2×C5×D3 | 1 | 3 | yes | complemented |
| 161 | C2×C8 | — | 3 | 3 | no | — |
| 162 | C2×C8 | — | 3 | 6 | no | — |
| 163 | C2×C8 | C2×C5×D3 | 1 | 3 | yes | complemented |
| 164 | C3×C5 | #568 | 1 | 1 | yes | characteristic, complemented, Hall |
| 165 | C22×C3 | C22×C4×C5 | 1 | 3 | yes | — |
| 166 | C2×D3 | — | 4 | 3 | no | — |
| 167 | C2×D3 | C22×C4×C5 | 1 | 1 | yes | characteristic |
| 168 | C2×D3 | C22×C4×C5 | 1 | 3 | yes | — |
| 169 | C3×C4 | C22×C4×C5 | 1 | 3 | yes | — |
| 170 | C3×C4 | C24×C5 | 1 | 1 | yes | characteristic |
| 171 | Dic3 | C22×C4×C5 | 1 | 3 | yes | — |
| 172 | Dic3 | C22×C4×C5 | 1 | 1 | yes | characteristic |
| 173 | C2×C5 | — | 2 | 3 | no | — |
| 174 | C2×C5 | — | 6 | 1 | no | — |
| 175 | C2×C5 | — | 6 | 3 | no | — |
| 176 | C2×C5 | C22×C4×D3 | 1 | 1 | yes | characteristic |
| 177 | C23 | — | 3 | 3 | no | — |
| 178 | Q8 | — | 3 | 3 | no | — |
| 179 | Q8 | C4×C5×D3 | 1 | 1 | yes | characteristic |
| 180 | D4 | — | 3 | 6 | no | — |
| 181 | D4 | — | 3 | 3 | no | — |
| 182 | D4 | C4×C5×D3 | 1 | 3 | yes | — |
| 183 | C2×C4 | — | 3 | 3 | no | — |
| 184 | C2×C4 | — | 3 | 3 | no | — |
| 185 | C2×C4 | — | 3 | 3 | no | — |
| 186 | C2×C4 | — | 3 | 3 | no | — |
| 187 | C2×C4 | — | 3 | 1 | no | — |
| 188 | C2×C4 | C22×C5×D3 | 1 | 3 | yes | — |
| 189 | C8 | — | 3 | 1 | no | — |
| 190 | C8 | — | 3 | 3 | no | — |
| 191 | C8 | C22×C5×D3 | 1 | 3 | yes | — |
| 192 | C8 | C22×C5×D3 | 1 | 1 | yes | characteristic |
| 193 | C2×C3 | — | 2 | 3 | no | — |
| 194 | C2×C3 | C23×C4×C5 | 1 | 1 | yes | characteristic |
| 195 | D3 | — | 2 | 1 | no | — |
| 196 | D3 | — | 2 | 3 | no | — |
| 197 | C5 | #5750 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 198 | C22 | — | 3 | 1 | no | — |
| 199 | C22 | — | 3 | 3 | no | — |
| 200 | C22 | — | 12 | 3 | no | — |
| 201 | C22 | C2×C4×C5×D3 | 1 | 3 | yes | — |
| 202 | C4 | — | 3 | 1 | no | — |
| 203 | C4 | — | 3 | 3 | no | — |
| 204 | C4 | C2×C4×C5×D3 | 1 | 3 | yes | — |
| 205 | C4 | C23×C5×D3 | 1 | 1 | yes | characteristic |
| 206 | C3 | C5×#568 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 207 | C2 | — | 2 | 3 | no | — |
| 208 | C2 | — | 6 | 1 | no | — |
| 209 | C2 | — | 6 | 3 | no | — |
| 210 | C2 | C22×C4×C5×D3 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta