| 1 | C3×C5×#499 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C4×C5×D24 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | C5×#4491 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | C5×#4491 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | C5×#4490 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C5×#4489 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C5×C4⋊(C3⋊C16) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C5×#2228 | — | 3 | 1 | no | maximal, Hall |
| 9 | C3×C5×#125 | — | 2 | 1 | no | — |
| 10 | C2×C5×D24 | C22 | 1 | 1 | yes | characteristic |
| 11 | C4×C5×D12 | — | 2 | 1 | no | — |
| 12 | C3×C5×#107 | C22 | 1 | 1 | yes | characteristic |
| 13 | C3×C5×#107 | C22 | 1 | 1 | yes | characteristic |
| 14 | C3×C5×#106 | — | 2 | 1 | no | — |
| 15 | C3×C4×C5×C8 | C22 | 1 | 1 | yes | characteristic |
| 16 | C5×#821 | — | 2 | 1 | no | — |
| 17 | C5×#818 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×C5×C3⋊C16 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×C5×C3⋊C16 | C22 | 1 | 1 | yes | characteristic |
| 20 | #71356 | C5 | 1 | 1 | yes | maximal, characteristic, direct product factor, Hall |
| 21 | C5×#499 | D3 | 1 | 1 | yes | characteristic, complemented |
| 22 | C4×C5×D8 | — | 3 | 1 | no | — |
| 23 | C5×#367 | — | 3 | 1 | no | — |
| 24 | C5×#366 | — | 3 | 1 | no | — |
| 25 | C5×C4⋊C16 | — | 3 | 1 | no | — |
| 26 | C5×#357 | — | 3 | 1 | no | — |
| 27 | C5×#357 | — | 3 | 1 | no | — |
| 28 | C2×C5×D12 | — | 2 | 1 | no | — |
| 29 | C2×C4×C5×D3 | — | 4 | 1 | no | — |
| 30 | C2×C3×C5×C8 | D4 | 1 | 1 | yes | characteristic |
| 31 | C2×C3×C5×C8 | C23 | 1 | 1 | yes | characteristic |
| 32 | C3×C5×C4⋊C4 | — | 2 | 1 | no | — |
| 33 | C3×C5×C4⋊C4 | — | 2 | 1 | no | — |
| 34 | C3×C5×C4⋊C4 | — | 4 | 1 | no | — |
| 35 | C3×C5×C4⋊C4 | — | 4 | 1 | no | — |
| 36 | C3×C42×C5 | D4 | 1 | 1 | yes | characteristic |
| 37 | C5×(C2×D3)⋊C4 | — | 4 | 1 | no | — |
| 38 | C5×C4⋊Dic3 | — | 2 | 1 | no | — |
| 39 | C5×D24 | — | 2 | 1 | no | — |
| 40 | C5×D24 | Q8 | 1 | 2 | yes | — |
| 41 | C5×C3⋊C16 | — | 2 | 1 | no | — |
| 42 | C5×C3⋊C16 | — | 2 | 1 | no | — |
| 43 | C3×#499 | C2×C5 | 1 | 1 | yes | characteristic, complemented |
| 44 | C4×D24 | C2×C5 | 1 | 1 | yes | characteristic |
| 45 | #4491 | C2×C5 | 1 | 1 | yes | characteristic |
| 46 | #4491 | C2×C5 | 1 | 1 | yes | characteristic |
| 47 | #4490 | C2×C5 | 1 | 1 | yes | characteristic, complemented |
| 48 | #4489 | C2×C5 | 1 | 1 | yes | characteristic, complemented |
| 49 | C4⋊(C3⋊C16) | C2×C5 | 1 | 1 | yes | characteristic, complemented |
| 50 | C2×C5×D8 | — | 3 | 1 | no | — |
| 51 | C5×#125 | — | 2 | 1 | no | — |
| 52 | C4×C5×D4 | — | 6 | 1 | no | — |
| 53 | C2×C5×C16 | — | 3 | 1 | no | — |
| 54 | C2×C5×C16 | — | 3 | 1 | no | — |
| 55 | C5×#107 | — | 3 | 1 | no | — |
| 56 | C5×#107 | C2×D3 | 1 | 1 | yes | characteristic |
| 57 | C5×#107 | C2×D3 | 1 | 1 | yes | characteristic |
| 58 | C5×#106 | — | 2 | 1 | no | — |
| 59 | C5×#102 | — | 6 | 1 | no | — |
| 60 | C4×C5×C8 | C2×D3 | 1 | 1 | yes | characteristic |
| 61 | #2228 | — | 3 | 1 | no | Sylow |
| 62 | C22×C5×D3 | — | 4 | 1 | no | — |
| 63 | C2×C3×C4×C5 | — | 4 | 1 | no | — |
| 64 | C2×C3×C4×C5 | — | 4 | 1 | no | — |
| 65 | C2×C3×C4×C5 | D8 | 1 | 1 | yes | characteristic |
| 66 | C2×C3×C4×C5 | D8 | 1 | 1 | yes | characteristic |
| 67 | C2×C3×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 68 | C2×C5×Dic3 | — | 4 | 1 | no | — |
| 69 | C5×D12 | — | 2 | 2 | no | — |
| 70 | C5×D12 | — | 4 | 1 | no | — |
| 71 | C4×C5×D3 | — | 8 | 2 | no | — |
| 72 | C3×C5×C8 | — | 2 | 1 | no | — |
| 73 | C3×C5×C8 | C2×Q8 | 1 | 1 | yes | characteristic |
| 74 | C3×C5×C8 | #41 | 1 | 1 | yes | characteristic |
| 75 | C3×#125 | — | 2 | 1 | no | — |
| 76 | C2×D24 | C22×C5 | 1 | 1 | yes | characteristic |
| 77 | C4×D12 | — | 2 | 1 | no | — |
| 78 | C3×#107 | C22×C5 | 1 | 1 | yes | characteristic |
| 79 | C3×#107 | C22×C5 | 1 | 1 | yes | characteristic |
| 80 | C3×#106 | — | 2 | 1 | no | — |
| 81 | C3×C4×C8 | C22×C5 | 1 | 1 | yes | characteristic |
| 82 | #821 | — | 2 | 1 | no | — |
| 83 | #818 | C22×C5 | 1 | 1 | yes | characteristic |
| 84 | C2×C3⋊C16 | C22×C5 | 1 | 1 | yes | characteristic |
| 85 | C2×C3⋊C16 | C22×C5 | 1 | 1 | yes | characteristic |
| 86 | C2×C5×D4 | — | 6 | 1 | no | — |
| 87 | C22×C4×C5 | — | 12 | 1 | no | — |
| 88 | C5×D8 | — | 3 | 2 | no | — |
| 89 | C5×D8 | — | 6 | 1 | no | — |
| 90 | C2×C5×C8 | #67 | 1 | 1 | yes | characteristic |
| 91 | C2×C5×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 92 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 93 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 94 | C5×C4⋊C4 | — | 4 | 1 | no | — |
| 95 | C5×C4⋊C4 | — | 4 | 1 | no | — |
| 96 | C5×C4⋊C4 | — | 6 | 1 | no | — |
| 97 | C5×C22⋊C4 | — | 12 | 1 | no | — |
| 98 | C42×C5 | #67 | 1 | 1 | yes | characteristic |
| 99 | C5×C16 | — | 6 | 1 | no | — |
| 100 | C5×C16 | — | 6 | 1 | no | — |
| 101 | #499 | C5×D3 | 1 | 1 | yes | characteristic, complemented |
| 102 | C4×D8 | — | 3 | 1 | no | — |
| 103 | #367 | — | 3 | 1 | no | — |
| 104 | #366 | — | 3 | 1 | no | — |
| 105 | C4⋊C16 | — | 3 | 1 | no | — |
| 106 | #357 | — | 3 | 1 | no | — |
| 107 | #357 | — | 3 | 1 | no | — |
| 108 | C22×C3×C5 | C2×D8 | 1 | 1 | yes | characteristic |
| 109 | C2×C5×D3 | — | 4 | 2 | no | — |
| 110 | C2×C5×D3 | — | 8 | 1 | no | — |
| 111 | C2×C5×D3 | — | 8 | 1 | no | — |
| 112 | C3×C4×C5 | — | 2 | 1 | no | — |
| 113 | C3×C4×C5 | — | 2 | 1 | no | — |
| 114 | C3×C4×C5 | — | 8 | 1 | no | — |
| 115 | C3×C4×C5 | — | 8 | 1 | no | — |
| 116 | C3×C4×C5 | C22⋊Q8 | 1 | 1 | yes | characteristic |
| 117 | C3×C4×C5 | #137 | 1 | 1 | yes | characteristic |
| 118 | C5×Dic3 | — | 8 | 1 | no | — |
| 119 | C2×D12 | — | 2 | 1 | no | — |
| 120 | C2×C4×D3 | — | 4 | 1 | no | — |
| 121 | C2×C3×C8 | C5×D4 | 1 | 1 | yes | characteristic |
| 122 | C2×C3×C8 | C23×C5 | 1 | 1 | yes | characteristic |
| 123 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 124 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 125 | C3×C4⋊C4 | — | 4 | 1 | no | — |
| 126 | C3×C4⋊C4 | — | 4 | 1 | no | — |
| 127 | C3×C42 | C5×D4 | 1 | 1 | yes | characteristic |
| 128 | (C2×D3)⋊C4 | — | 4 | 1 | no | — |
| 129 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 130 | D24 | — | 2 | 1 | no | — |
| 131 | D24 | C5×Q8 | 1 | 2 | yes | — |
| 132 | C3⋊C16 | — | 2 | 1 | no | — |
| 133 | C3⋊C16 | — | 2 | 1 | no | — |
| 134 | C23×C5 | — | 12 | 1 | no | — |
| 135 | C5×D4 | — | 6 | 2 | no | — |
| 136 | C5×D4 | — | 12 | 1 | no | — |
| 137 | C2×C4×C5 | — | 4 | 1 | no | — |
| 138 | C2×C4×C5 | — | 4 | 1 | no | — |
| 139 | C2×C4×C5 | — | 12 | 1 | no | — |
| 140 | C2×C4×C5 | — | 24 | 2 | no | — |
| 141 | C2×C4×C5 | #213 | 1 | 1 | yes | characteristic |
| 142 | C2×C4×C5 | #213 | 1 | 1 | yes | characteristic |
| 143 | C2×C4×C5 | C2×#67 | 1 | 1 | yes | characteristic |
| 144 | C5×C8 | — | 2 | 1 | no | — |
| 145 | C5×C8 | D3×Q8 | 1 | 1 | yes | characteristic |
| 146 | C5×C8 | #239 | 1 | 1 | yes | characteristic |
| 147 | C2×D8 | — | 3 | 1 | no | — |
| 148 | #125 | — | 2 | 1 | no | — |
| 149 | C4×D4 | — | 6 | 1 | no | — |
| 150 | C2×C16 | — | 3 | 1 | no | — |
| 151 | C2×C16 | — | 3 | 1 | no | — |
| 152 | #107 | — | 3 | 1 | no | — |
| 153 | #107 | C2×C5×D3 | 1 | 1 | yes | characteristic |
| 154 | #107 | C2×C5×D3 | 1 | 1 | yes | characteristic |
| 155 | #106 | — | 2 | 1 | no | — |
| 156 | #102 | — | 6 | 1 | no | — |
| 157 | C4×C8 | C2×C5×D3 | 1 | 1 | yes | characteristic |
| 158 | C2×C3×C5 | #474 | 1 | 1 | yes | characteristic |
| 159 | C2×C3×C5 | #508 | 1 | 1 | yes | characteristic |
| 160 | C2×C3×C5 | #509 | 1 | 1 | yes | characteristic |
| 161 | C5×D3 | — | 8 | 2 | no | — |
| 162 | C22×D3 | — | 4 | 1 | no | — |
| 163 | C2×C3×C4 | — | 4 | 1 | no | — |
| 164 | C2×C3×C4 | — | 4 | 1 | no | — |
| 165 | C2×C3×C4 | C5×D8 | 1 | 1 | yes | characteristic |
| 166 | C2×C3×C4 | C5×D8 | 1 | 1 | yes | characteristic |
| 167 | C2×C3×C4 | C2×C5×D4 | 1 | 1 | yes | characteristic |
| 168 | C2×Dic3 | — | 4 | 1 | no | — |
| 169 | D12 | — | 2 | 2 | no | — |
| 170 | D12 | — | 4 | 1 | no | — |
| 171 | C4×D3 | — | 8 | 2 | no | — |
| 172 | C3×C8 | — | 2 | 1 | no | — |
| 173 | C3×C8 | C2×C5×Q8 | 1 | 1 | yes | characteristic |
| 174 | C3×C8 | C5×#41 | 1 | 1 | yes | characteristic |
| 175 | C22×C5 | — | 12 | 2 | no | — |
| 176 | C22×C5 | — | 24 | 1 | no | — |
| 177 | C22×C5 | — | 24 | 1 | no | — |
| 178 | C22×C5 | C2×#213 | 1 | 1 | yes | characteristic |
| 179 | C4×C5 | — | 2 | 1 | no | — |
| 180 | C4×C5 | — | 2 | 1 | no | — |
| 181 | C4×C5 | — | 8 | 1 | no | — |
| 182 | C4×C5 | — | 8 | 1 | no | — |
| 183 | C4×C5 | — | 24 | 1 | no | — |
| 184 | C4×C5 | #942 | 1 | 1 | yes | characteristic |
| 185 | C4×C5 | #946 | 1 | 1 | yes | characteristic |
| 186 | C2×D4 | — | 6 | 1 | no | — |
| 187 | C22×C4 | — | 12 | 1 | no | — |
| 188 | D8 | — | 3 | 2 | no | — |
| 189 | D8 | — | 6 | 1 | no | — |
| 190 | C2×C8 | C5×#67 | 1 | 1 | yes | characteristic |
| 191 | C2×C8 | C22×C5×D3 | 1 | 1 | yes | characteristic |
| 192 | C4⋊C4 | — | 2 | 1 | no | — |
| 193 | C4⋊C4 | — | 2 | 1 | no | — |
| 194 | C4⋊C4 | — | 4 | 1 | no | — |
| 195 | C4⋊C4 | — | 4 | 1 | no | — |
| 196 | C4⋊C4 | — | 6 | 1 | no | — |
| 197 | C22⋊C4 | — | 12 | 1 | no | — |
| 198 | C42 | C5×#67 | 1 | 1 | yes | characteristic |
| 199 | C16 | — | 6 | 1 | no | — |
| 200 | C16 | — | 6 | 1 | no | — |
| 201 | C3×C5 | #2228 | 1 | 1 | yes | characteristic, complemented, Hall |
| 202 | C22×C3 | C2×C5×D8 | 1 | 1 | yes | characteristic |
| 203 | C2×D3 | — | 4 | 2 | no | — |
| 204 | C2×D3 | — | 8 | 1 | no | — |
| 205 | C2×D3 | — | 8 | 1 | no | — |
| 206 | C3×C4 | — | 2 | 1 | no | — |
| 207 | C3×C4 | — | 2 | 1 | no | — |
| 208 | C3×C4 | — | 8 | 1 | no | — |
| 209 | C3×C4 | — | 8 | 1 | no | — |
| 210 | C3×C4 | C5×C22⋊Q8 | 1 | 1 | yes | characteristic |
| 211 | C3×C4 | C5×#137 | 1 | 1 | yes | characteristic |
| 212 | Dic3 | — | 8 | 1 | no | — |
| 213 | C2×C5 | — | 24 | 2 | no | — |
| 214 | C2×C5 | #5087 | 1 | 1 | yes | characteristic |
| 215 | C2×C5 | #5193 | 1 | 1 | yes | characteristic |
| 216 | C2×C5 | #5194 | 1 | 1 | yes | characteristic |
| 217 | C23 | — | 12 | 1 | no | — |
| 218 | D4 | — | 6 | 2 | no | — |
| 219 | D4 | — | 12 | 1 | no | — |
| 220 | C2×C4 | — | 4 | 1 | no | — |
| 221 | C2×C4 | — | 4 | 1 | no | — |
| 222 | C2×C4 | — | 12 | 1 | no | — |
| 223 | C2×C4 | — | 24 | 2 | no | — |
| 224 | C2×C4 | C5×#213 | 1 | 1 | yes | characteristic |
| 225 | C2×C4 | C5×#213 | 1 | 1 | yes | characteristic |
| 226 | C2×C4 | C2×C5×#67 | 1 | 1 | yes | characteristic |
| 227 | C8 | — | 2 | 1 | no | — |
| 228 | C8 | C5×D3×Q8 | 1 | 1 | yes | characteristic |
| 229 | C8 | C5×#239 | 1 | 1 | yes | characteristic |
| 230 | C2×C3 | C5×#474 | 1 | 1 | yes | characteristic |
| 231 | C2×C3 | C5×#508 | 1 | 1 | yes | characteristic |
| 232 | C2×C3 | C5×#509 | 1 | 1 | yes | characteristic |
| 233 | D3 | — | 8 | 2 | no | — |
| 234 | C5 | #71356 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 235 | C22 | — | 12 | 2 | no | — |
| 236 | C22 | — | 24 | 1 | no | — |
| 237 | C22 | — | 24 | 1 | no | — |
| 238 | C22 | C2×C5×#213 | 1 | 1 | yes | characteristic |
| 239 | C4 | — | 2 | 1 | no | — |
| 240 | C4 | — | 2 | 1 | no | — |
| 241 | C4 | — | 8 | 1 | no | — |
| 242 | C4 | — | 8 | 1 | no | — |
| 243 | C4 | — | 24 | 1 | no | — |
| 244 | C4 | C5×#942 | 1 | 1 | yes | characteristic |
| 245 | C4 | C5×#946 | 1 | 1 | yes | characteristic |
| 246 | C3 | C5×#2228 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 247 | C2 | — | 24 | 2 | no | — |
| 248 | C2 | C5×#5087 | 1 | 1 | yes | characteristic |
| 249 | C2 | C5×#5193 | 1 | 1 | yes | characteristic |
| 250 | C2 | C5×#5194 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta