| 1 | #11754978 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11754977 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | D8×Dic15 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C5×#5158 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×#65447 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11749120 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11749118 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11749116 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11749050 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #11748965 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #11748961 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #11748036 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #11747696 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #11747684 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #11747674 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #10611835 | — | 3 | 1 | no | maximal, Hall |
| 17 | C2×C5×#237 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×C3×#711 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×C3×C5×D8 | C22 | 1 | 1 | yes | characteristic |
| 20 | D4×Dic15 | C22 | 1 | 1 | yes | characteristic |
| 21 | D4×Dic15 | C22 | 1 | 1 | yes | characteristic |
| 22 | C5×#938 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×C5×#214 | C22 | 1 | 1 | yes | characteristic |
| 24 | C3×#4084 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×C3×#687 | C22 | 1 | 1 | yes | characteristic |
| 26 | #91571 | — | 2 | 1 | no | — |
| 27 | #91571 | — | 2 | 1 | no | — |
| 28 | C2×#6669 | — | 2 | 1 | no | — |
| 29 | #91539 | — | 2 | 1 | no | — |
| 30 | #91536 | — | 2 | 1 | no | — |
| 31 | #91534 | — | 2 | 1 | no | — |
| 32 | #91532 | — | 2 | 1 | no | — |
| 33 | #91525 | — | 2 | 1 | no | — |
| 34 | #91470 | C22 | 1 | 1 | yes | characteristic |
| 35 | C4×#1201 | C22 | 1 | 1 | yes | characteristic |
| 36 | #91385 | C22 | 1 | 1 | yes | characteristic |
| 37 | #91369 | C22 | 1 | 1 | yes | characteristic |
| 38 | #91359 | C22 | 1 | 1 | yes | characteristic |
| 39 | #91358 | C22 | 1 | 1 | yes | characteristic |
| 40 | #91338 | C22 | 1 | 1 | yes | characteristic |
| 41 | C2×D3×#168 | C22 | 1 | 1 | yes | characteristic |
| 42 | C2×D5×C3⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 43 | #91116 | C22 | 1 | 1 | yes | characteristic |
| 44 | #91116 | C22 | 1 | 1 | yes | characteristic |
| 45 | #91102 | C22 | 1 | 1 | yes | characteristic |
| 46 | C8×Dic15 | C22 | 1 | 1 | yes | characteristic |
| 47 | C5×#832 | C22 | 1 | 1 | yes | characteristic |
| 48 | C5×(C2×D3)⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 49 | C5×#816 | C22 | 1 | 1 | yes | characteristic |
| 50 | C3×#3964 | C22 | 1 | 1 | yes | characteristic |
| 51 | C3×#3952 | C22 | 1 | 1 | yes | characteristic |
| 52 | C3×#3948 | C22 | 1 | 1 | yes | characteristic |
| 53 | #90987 | C22 | 1 | 1 | yes | characteristic |
| 54 | #90985 | C22 | 1 | 1 | yes | characteristic |
| 55 | #90983 | C22 | 1 | 1 | yes | characteristic |
| 56 | #90973 | C22 | 1 | 1 | yes | characteristic |
| 57 | #90972 | C22 | 1 | 1 | yes | characteristic |
| 58 | #90971 | C22 | 1 | 1 | yes | characteristic |
| 59 | #90970 | C22 | 1 | 1 | yes | characteristic |
| 60 | #80104 | — | 5 | 1 | no | maximal, Hall |
| 61 | #66158 | — | 3 | 1 | no | — |
| 62 | #65950 | — | 3 | 1 | no | — |
| 63 | C5×#449 | — | 3 | 1 | no | — |
| 64 | #65522 | — | 3 | 1 | no | — |
| 65 | #65460 | — | 3 | 1 | no | — |
| 66 | #65451 | — | 3 | 1 | no | — |
| 67 | #65447 | D3 | 1 | 1 | yes | characteristic, complemented |
| 68 | D8×Dic5 | — | 3 | 1 | no | — |
| 69 | #65330 | — | 3 | 1 | no | — |
| 70 | #65103 | — | 3 | 1 | no | — |
| 71 | #65081 | — | 3 | 1 | no | — |
| 72 | #65061 | — | 3 | 1 | no | — |
| 73 | #65050 | — | 3 | 1 | no | — |
| 74 | #65014 | — | 3 | 1 | no | — |
| 75 | #65012 | — | 3 | 1 | no | — |
| 76 | C2×C3×C5×D4 | C23 | 1 | 1 | yes | characteristic |
| 77 | C2×C3×C5×D4 | C23 | 1 | 1 | yes | characteristic |
| 78 | C22×Dic15 | — | 2 | 1 | no | — |
| 79 | C22×Dic15 | — | 2 | 1 | no | — |
| 80 | C2×C5×#67 | — | 2 | 1 | no | — |
| 81 | C2×C5×#67 | — | 2 | 1 | no | — |
| 82 | C22×C5×Dic3 | — | 2 | 1 | no | — |
| 83 | C5×#237 | — | 2 | 2 | no | — |
| 84 | C5×#237 | — | 4 | 1 | no | — |
| 85 | C2×C4×C5×D3 | C23 | 1 | 1 | yes | characteristic |
| 86 | C2×C5×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 87 | C2×C3×C22⋊D5 | — | 2 | 1 | no | — |
| 88 | C2×C3×C22⋊D5 | — | 2 | 1 | no | — |
| 89 | C22×C3×Dic5 | — | 2 | 1 | no | — |
| 90 | C3×#711 | — | 2 | 2 | no | — |
| 91 | C3×#711 | — | 4 | 1 | no | — |
| 92 | C2×C3×C4×D5 | C23 | 1 | 1 | yes | characteristic |
| 93 | C2×C3×Dic10 | C23 | 1 | 1 | yes | characteristic |
| 94 | C2×#1204 | — | 2 | 1 | no | — |
| 95 | C2×#1201 | D4 | 1 | 1 | yes | characteristic |
| 96 | C3×C5×D8 | — | 2 | 2 | no | — |
| 97 | C2×C3×C5×C8 | C23 | 1 | 1 | yes | characteristic |
| 98 | #6719 | — | 2 | 1 | no | — |
| 99 | #6719 | — | 2 | 1 | no | — |
| 100 | C4⋊Dic15 | C23 | 1 | 1 | yes | characteristic |
| 101 | C4⋊Dic15 | C23 | 1 | 1 | yes | characteristic |
| 102 | C4×Dic15 | C23 | 1 | 1 | yes | characteristic |
| 103 | C2×C3⋊#168 | C23 | 1 | 1 | yes | characteristic |
| 104 | C5×#217 | — | 2 | 1 | no | — |
| 105 | C5×#214 | — | 4 | 1 | no | — |
| 106 | C5×C4⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 107 | C2×C5×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 108 | C3×C22⋊Dic5 | — | 2 | 1 | no | — |
| 109 | C3×#687 | — | 4 | 1 | no | — |
| 110 | C3×C4⋊Dic5 | C23 | 1 | 1 | yes | characteristic |
| 111 | C2×C3×#168 | C23 | 1 | 1 | yes | characteristic |
| 112 | #6669 | — | 2 | 1 | no | — |
| 113 | #6669 | — | 2 | 1 | no | — |
| 114 | #6669 | — | 2 | 1 | no | — |
| 115 | #6669 | — | 2 | 1 | no | — |
| 116 | #6669 | — | 2 | 1 | no | — |
| 117 | #6669 | D4 | 1 | 1 | yes | characteristic |
| 118 | (C2×D3)⋊Dic5 | — | 2 | 1 | no | — |
| 119 | (C2×D3)⋊Dic5 | — | 2 | 1 | no | — |
| 120 | (C2×D3)⋊Dic5 | D4 | 1 | 1 | yes | characteristic |
| 121 | #6665 | — | 2 | 1 | no | — |
| 122 | #6665 | — | 2 | 1 | no | — |
| 123 | #6665 | D4 | 1 | 1 | yes | characteristic |
| 124 | Dic3×Dic5 | — | 2 | 1 | no | — |
| 125 | Dic3×Dic5 | — | 2 | 1 | no | — |
| 126 | D3×#168 | — | 4 | 1 | no | — |
| 127 | D5×C3⋊C8 | — | 4 | 1 | no | — |
| 128 | #5824 | — | 5 | 1 | no | — |
| 129 | #5616 | — | 5 | 1 | no | — |
| 130 | C3×#449 | — | 5 | 1 | no | — |
| 131 | #5233 | — | 5 | 1 | no | — |
| 132 | #5171 | — | 5 | 1 | no | — |
| 133 | #5162 | — | 5 | 1 | no | — |
| 134 | #5158 | D5 | 1 | 1 | yes | characteristic, complemented |
| 135 | Dic3×D8 | — | 5 | 1 | no | — |
| 136 | #5041 | — | 5 | 1 | no | — |
| 137 | #4814 | — | 5 | 1 | no | — |
| 138 | #4792 | — | 5 | 1 | no | — |
| 139 | #4772 | — | 5 | 1 | no | — |
| 140 | #4761 | — | 5 | 1 | no | — |
| 141 | #67⋊C8 | — | 5 | 1 | no | — |
| 142 | #4723 | — | 5 | 1 | no | — |
| 143 | C2×C5×#41 | — | 3 | 1 | no | — |
| 144 | C2×#711 | C2×D3 | 1 | 1 | yes | characteristic |
| 145 | C2×C5×SD16 | — | 3 | 1 | no | — |
| 146 | C2×C5×D8 | C2×D3 | 1 | 1 | yes | characteristic |
| 147 | C5×#121 | — | 3 | 1 | no | — |
| 148 | #4092 | — | 3 | 1 | no | — |
| 149 | #4090 | — | 3 | 1 | no | — |
| 150 | #4085 | — | 6 | 1 | no | — |
| 151 | #4085 | — | 6 | 1 | no | — |
| 152 | #4084 | C2×D3 | 1 | 1 | yes | characteristic |
| 153 | #4082 | — | 6 | 1 | no | — |
| 154 | #4081 | — | 6 | 1 | no | — |
| 155 | D4×Dic5 | — | 3 | 1 | no | — |
| 156 | D4×Dic5 | — | 3 | 1 | no | — |
| 157 | C2×#687 | C2×D3 | 1 | 1 | yes | characteristic |
| 158 | #4075 | — | 6 | 1 | no | — |
| 159 | C4×C22⋊D5 | — | 3 | 1 | no | — |
| 160 | #4072 | — | 3 | 1 | no | — |
| 161 | #4070 | — | 3 | 1 | no | — |
| 162 | C2×#683 | — | 6 | 1 | no | — |
| 163 | C22×#168 | — | 3 | 1 | no | — |
| 164 | C2×C8×D5 | — | 3 | 1 | no | — |
| 165 | #4038 | — | 3 | 1 | no | — |
| 166 | #4034 | — | 3 | 1 | no | — |
| 167 | #4031 | — | 6 | 1 | no | — |
| 168 | #4023 | — | 6 | 1 | no | — |
| 169 | C5×#103 | — | 3 | 1 | no | — |
| 170 | C5×#102 | — | 3 | 1 | no | — |
| 171 | C5×C22⋊C8 | — | 3 | 1 | no | — |
| 172 | #3967 | — | 3 | 1 | no | — |
| 173 | #3967 | — | 3 | 1 | no | — |
| 174 | #3964 | — | 3 | 1 | no | — |
| 175 | #3964 | — | 3 | 1 | no | — |
| 176 | #3964 | C2×D3 | 1 | 1 | yes | characteristic |
| 177 | #3952 | C2×D3 | 1 | 1 | yes | characteristic |
| 178 | #3950 | — | 3 | 1 | no | — |
| 179 | #3949 | — | 3 | 1 | no | — |
| 180 | #3948 | — | 3 | 1 | no | — |
| 181 | #3948 | C2×D3 | 1 | 1 | yes | characteristic |
| 182 | #3946 | — | 3 | 1 | no | — |
| 183 | C8×Dic5 | — | 3 | 1 | no | — |
| 184 | #3942 | — | 3 | 1 | no | — |
| 185 | #3940 | — | 3 | 1 | no | — |
| 186 | #3303 | — | 15 | 1 | no | Sylow |
| 187 | C23×C3×C5 | — | 2 | 1 | no | — |
| 188 | C23×C3×C5 | — | 2 | 1 | no | — |
| 189 | C22×C5×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 190 | C22×C3×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 191 | C3×C5×D4 | — | 2 | 1 | no | — |
| 192 | C3×C5×D4 | — | 2 | 1 | no | — |
| 193 | C3×C5×D4 | — | 2 | 1 | no | — |
| 194 | C3×C5×D4 | #41 | 1 | 2 | yes | — |
| 195 | C2×C3×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 196 | C2×Dic15 | — | 2 | 1 | no | — |
| 197 | C2×Dic15 | — | 2 | 1 | no | — |
| 198 | C2×Dic15 | — | 4 | 2 | no | — |
| 199 | C2×Dic15 | — | 4 | 2 | no | — |
| 200 | C2×Dic15 | C2×D4 | 1 | 1 | yes | characteristic |
| 201 | C2×Dic15 | C2×D4 | 1 | 1 | yes | characteristic |
| 202 | C5×#67 | — | 4 | 2 | no | — |
| 203 | C5×#67 | — | 8 | 1 | no | — |
| 204 | C2×C5×Dic3 | — | 2 | 1 | no | — |
| 205 | C2×C5×Dic3 | — | 2 | 1 | no | — |
| 206 | C2×C5×Dic3 | — | 4 | 2 | no | — |
| 207 | C2×C5×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 208 | C4×C5×D3 | — | 2 | 1 | no | — |
| 209 | C4×C5×D3 | — | 2 | 1 | no | — |
| 210 | C5×Dic6 | — | 2 | 1 | no | — |
| 211 | C5×Dic6 | — | 2 | 1 | no | — |
| 212 | C3×C22⋊D5 | — | 4 | 2 | no | — |
| 213 | C3×C22⋊D5 | — | 8 | 1 | no | — |
| 214 | C2×C3×Dic5 | — | 2 | 1 | no | — |
| 215 | C2×C3×Dic5 | — | 2 | 1 | no | — |
| 216 | C2×C3×Dic5 | — | 4 | 2 | no | — |
| 217 | C2×C3×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 218 | C3×C4×D5 | — | 2 | 1 | no | — |
| 219 | C3×C4×D5 | — | 2 | 1 | no | — |
| 220 | C3×Dic10 | — | 2 | 1 | no | — |
| 221 | C3×Dic10 | — | 2 | 1 | no | — |
| 222 | #1204 | — | 8 | 1 | no | — |
| 223 | #1201 | — | 2 | 2 | no | — |
| 224 | C3×C5×C8 | — | 2 | 1 | no | — |
| 225 | C3⋊#168 | — | 2 | 1 | no | — |
| 226 | C3×#168 | — | 2 | 1 | no | — |
| 227 | C5×C3⋊C8 | — | 2 | 1 | no | — |
| 228 | C2×C3×#41 | — | 5 | 1 | no | — |
| 229 | C2×#237 | C2×D5 | 1 | 1 | yes | characteristic |
| 230 | C2×C3×SD16 | — | 5 | 1 | no | — |
| 231 | C2×C3×D8 | C2×D5 | 1 | 1 | yes | characteristic |
| 232 | C3×#121 | — | 5 | 1 | no | — |
| 233 | #946 | — | 5 | 1 | no | — |
| 234 | #944 | — | 5 | 1 | no | — |
| 235 | #939 | — | 10 | 1 | no | — |
| 236 | #939 | — | 10 | 1 | no | — |
| 237 | #938 | C2×D5 | 1 | 1 | yes | characteristic |
| 238 | #936 | — | 10 | 1 | no | — |
| 239 | #935 | — | 10 | 1 | no | — |
| 240 | D4×Dic3 | — | 5 | 1 | no | — |
| 241 | D4×Dic3 | — | 5 | 1 | no | — |
| 242 | C2×#214 | C2×D5 | 1 | 1 | yes | characteristic |
| 243 | #929 | — | 10 | 1 | no | — |
| 244 | C4×#67 | — | 5 | 1 | no | — |
| 245 | #926 | — | 5 | 1 | no | — |
| 246 | #924 | — | 5 | 1 | no | — |
| 247 | C2×Dic3⋊C4 | — | 10 | 1 | no | — |
| 248 | C22×C3⋊C8 | — | 5 | 1 | no | — |
| 249 | C2×D3×C8 | — | 5 | 1 | no | — |
| 250 | #892 | — | 5 | 1 | no | — |
| 251 | #888 | — | 5 | 1 | no | — |
| 252 | #885 | — | 10 | 1 | no | — |
| 253 | #877 | — | 10 | 1 | no | — |
| 254 | C3×#103 | — | 5 | 1 | no | — |
| 255 | C3×#102 | — | 5 | 1 | no | — |
| 256 | C3×C22⋊C8 | — | 5 | 1 | no | — |
| 257 | #835 | — | 5 | 1 | no | — |
| 258 | #835 | — | 5 | 1 | no | — |
| 259 | #832 | — | 5 | 1 | no | — |
| 260 | #832 | — | 5 | 1 | no | — |
| 261 | #832 | C2×D5 | 1 | 1 | yes | characteristic |
| 262 | (C2×D3)⋊C8 | C2×D5 | 1 | 1 | yes | characteristic |
| 263 | #818 | — | 5 | 1 | no | — |
| 264 | #817 | — | 5 | 1 | no | — |
| 265 | #816 | — | 5 | 1 | no | — |
| 266 | #816 | C2×D5 | 1 | 1 | yes | characteristic |
| 267 | Dic3⋊C8 | — | 5 | 1 | no | — |
| 268 | C8×Dic3 | — | 5 | 1 | no | — |
| 269 | #810 | — | 5 | 1 | no | — |
| 270 | #808 | — | 5 | 1 | no | — |
| 271 | C5×#41 | — | 6 | 2 | no | — |
| 272 | C5×#41 | — | 12 | 1 | no | — |
| 273 | C2×C5×Q8 | — | 3 | 1 | no | — |
| 274 | C2×C5×D4 | — | 6 | 1 | no | — |
| 275 | C2×C5×D4 | — | 6 | 1 | no | — |
| 276 | C2×C5×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 277 | C2×C5×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 278 | C22×C4×C5 | — | 3 | 1 | no | — |
| 279 | C22×C4×C5 | — | 6 | 1 | no | — |
| 280 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 281 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 282 | C2×C22⋊D5 | — | 3 | 1 | no | — |
| 283 | C22×Dic5 | — | 2 | 1 | no | — |
| 284 | C22×Dic5 | — | 6 | 1 | no | — |
| 285 | C22×Dic5 | — | 6 | 1 | no | — |
| 286 | #711 | — | 2 | 2 | no | — |
| 287 | #711 | — | 4 | 1 | no | — |
| 288 | C2×C4×D5 | C22×D3 | 1 | 1 | yes | characteristic |
| 289 | C2×Dic10 | — | 6 | 1 | no | — |
| 290 | C2×Dic10 | C22×D3 | 1 | 1 | yes | characteristic |
| 291 | C5×SD16 | — | 12 | 1 | no | — |
| 292 | C5×D8 | — | 2 | 2 | no | — |
| 293 | C2×C5×C8 | — | 3 | 1 | no | — |
| 294 | C2×C5×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 295 | C5×C4⋊C4 | — | 3 | 1 | no | — |
| 296 | C5×C22⋊C4 | — | 6 | 1 | no | — |
| 297 | C22⋊Dic5 | — | 2 | 1 | no | — |
| 298 | C22⋊Dic5 | — | 3 | 1 | no | — |
| 299 | C22⋊Dic5 | — | 6 | 1 | no | — |
| 300 | C22⋊Dic5 | — | 6 | 1 | no | — |
| 301 | C22⋊Dic5 | — | 6 | 1 | no | — |
| 302 | C22⋊Dic5 | — | 6 | 1 | no | — |
| 303 | #687 | — | 4 | 1 | no | — |
| 304 | #685 | — | 3 | 1 | no | — |
| 305 | #685 | — | 6 | 1 | no | — |
| 306 | #685 | — | 6 | 1 | no | — |
| 307 | C4⋊Dic5 | — | 3 | 1 | no | — |
| 308 | C4⋊Dic5 | — | 3 | 1 | no | — |
| 309 | C4⋊Dic5 | C22×D3 | 1 | 1 | yes | characteristic |
| 310 | #683 | — | 3 | 1 | no | — |
| 311 | #683 | — | 6 | 1 | no | — |
| 312 | #683 | — | 6 | 1 | no | — |
| 313 | #683 | — | 6 | 1 | no | — |
| 314 | #683 | — | 6 | 1 | no | — |
| 315 | #683 | — | 6 | 1 | no | — |
| 316 | C4×Dic5 | — | 3 | 1 | no | — |
| 317 | C4×Dic5 | — | 6 | 1 | no | — |
| 318 | C4×Dic5 | — | 6 | 1 | no | — |
| 319 | C2×#168 | — | 3 | 1 | no | — |
| 320 | C2×#168 | — | 12 | 1 | no | — |
| 321 | C2×#168 | C22×D3 | 1 | 1 | yes | characteristic |
| 322 | C8×D5 | — | 12 | 1 | no | — |
| 323 | #555 | — | 15 | 1 | no | — |
| 324 | #547 | — | 15 | 1 | no | — |
| 325 | #487 | — | 15 | 1 | no | — |
| 326 | #485 | — | 15 | 1 | no | — |
| 327 | #485 | — | 15 | 1 | no | — |
| 328 | #476 | — | 15 | 1 | no | — |
| 329 | #465 | — | 15 | 1 | no | — |
| 330 | #465 | — | 15 | 1 | no | — |
| 331 | #461 | — | 15 | 1 | no | — |
| 332 | #449 | — | 3 | 1 | no | — |
| 333 | #449 | — | 5 | 1 | no | — |
| 334 | C4×D8 | — | 15 | 1 | no | — |
| 335 | C8×D4 | — | 15 | 1 | no | — |
| 336 | #416 | — | 15 | 1 | no | — |
| 337 | #416 | — | 15 | 1 | no | — |
| 338 | C22×C3×C5 | — | 2 | 2 | no | — |
| 339 | C22×C3×C5 | — | 4 | 1 | no | — |
| 340 | C22×C3×C5 | — | 4 | 1 | no | — |
| 341 | C22×C3×C5 | — | 4 | 1 | no | — |
| 342 | C22×C3×C5 | — | 4 | 1 | no | — |
| 343 | C22×C3×C5 | — | 4 | 1 | no | — |
| 344 | C22×C3×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 345 | C2×C5×D3 | — | 2 | 1 | no | — |
| 346 | C2×C5×D3 | — | 2 | 1 | no | — |
| 347 | C2×C5×D3 | — | 2 | 1 | no | — |
| 348 | C2×C3×D5 | — | 2 | 1 | no | — |
| 349 | C2×C3×D5 | — | 2 | 1 | no | — |
| 350 | C2×C3×D5 | — | 2 | 1 | no | — |
| 351 | C3×C4×C5 | C2×#41 | 1 | 1 | yes | characteristic |
| 352 | C3×C4×C5 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 353 | Dic15 | — | 2 | 1 | no | — |
| 354 | Dic15 | — | 4 | 1 | no | — |
| 355 | Dic15 | — | 4 | 1 | no | — |
| 356 | Dic15 | #135 | 1 | 2 | yes | — |
| 357 | C3×Dic5 | — | 2 | 1 | no | — |
| 358 | C3×Dic5 | — | 4 | 1 | no | — |
| 359 | C3×Dic5 | — | 4 | 1 | no | — |
| 360 | C5×Dic3 | — | 2 | 1 | no | — |
| 361 | C5×Dic3 | — | 4 | 1 | no | — |
| 362 | C5×Dic3 | — | 4 | 1 | no | — |
| 363 | C3×#41 | — | 10 | 2 | no | — |
| 364 | C3×#41 | — | 20 | 1 | no | — |
| 365 | C2×C3×Q8 | — | 5 | 1 | no | — |
| 366 | C2×C3×D4 | — | 10 | 1 | no | — |
| 367 | C2×C3×D4 | — | 10 | 1 | no | — |
| 368 | C2×C3×D4 | C22×D5 | 1 | 1 | yes | characteristic |
| 369 | C2×C3×D4 | C22×D5 | 1 | 1 | yes | characteristic |
| 370 | C22×C3×C4 | — | 5 | 1 | no | — |
| 371 | C22×C3×C4 | — | 10 | 1 | no | — |
| 372 | C2×#67 | — | 2 | 1 | no | — |
| 373 | C2×#67 | — | 2 | 1 | no | — |
| 374 | C2×#67 | — | 5 | 1 | no | — |
| 375 | C22×Dic3 | — | 2 | 1 | no | — |
| 376 | C22×Dic3 | — | 10 | 1 | no | — |
| 377 | C22×Dic3 | — | 10 | 1 | no | — |
| 378 | #237 | — | 2 | 2 | no | — |
| 379 | #237 | — | 4 | 1 | no | — |
| 380 | C2×C4×D3 | C22×D5 | 1 | 1 | yes | characteristic |
| 381 | C2×Dic6 | — | 10 | 1 | no | — |
| 382 | C2×Dic6 | C22×D5 | 1 | 1 | yes | characteristic |
| 383 | C3×SD16 | — | 20 | 1 | no | — |
| 384 | C3×D8 | — | 2 | 2 | no | — |
| 385 | C2×C3×C8 | — | 5 | 1 | no | — |
| 386 | C2×C3×C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 387 | C3×C4⋊C4 | — | 5 | 1 | no | — |
| 388 | C3×C22⋊C4 | — | 10 | 1 | no | — |
| 389 | #217 | — | 2 | 1 | no | — |
| 390 | #217 | — | 5 | 1 | no | — |
| 391 | #217 | — | 10 | 1 | no | — |
| 392 | #217 | — | 10 | 1 | no | — |
| 393 | #217 | — | 10 | 1 | no | — |
| 394 | #217 | — | 10 | 1 | no | — |
| 395 | #214 | — | 4 | 1 | no | — |
| 396 | (C2×D3)⋊C4 | — | 5 | 1 | no | — |
| 397 | (C2×D3)⋊C4 | — | 10 | 1 | no | — |
| 398 | (C2×D3)⋊C4 | — | 10 | 1 | no | — |
| 399 | C4⋊Dic3 | — | 5 | 1 | no | — |
| 400 | C4⋊Dic3 | — | 5 | 1 | no | — |
| 401 | C4⋊Dic3 | C22×D5 | 1 | 1 | yes | characteristic |
| 402 | Dic3⋊C4 | — | 5 | 1 | no | — |
| 403 | Dic3⋊C4 | — | 10 | 1 | no | — |
| 404 | Dic3⋊C4 | — | 10 | 1 | no | — |
| 405 | Dic3⋊C4 | — | 10 | 1 | no | — |
| 406 | Dic3⋊C4 | — | 10 | 1 | no | — |
| 407 | Dic3⋊C4 | — | 10 | 1 | no | — |
| 408 | C4×Dic3 | — | 5 | 1 | no | — |
| 409 | C4×Dic3 | — | 10 | 1 | no | — |
| 410 | C4×Dic3 | — | 10 | 1 | no | — |
| 411 | C2×C3⋊C8 | — | 5 | 1 | no | — |
| 412 | C2×C3⋊C8 | — | 20 | 1 | no | — |
| 413 | C2×C3⋊C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 414 | D3×C8 | — | 20 | 1 | no | — |
| 415 | C23×C5 | — | 2 | 1 | no | — |
| 416 | C23×C5 | — | 2 | 1 | no | — |
| 417 | C23×C5 | — | 3 | 1 | no | — |
| 418 | C22×D5 | D3×D4 | 1 | 1 | yes | characteristic |
| 419 | C5×Q8 | — | 6 | 1 | no | — |
| 420 | C5×Q8 | — | 6 | 1 | no | — |
| 421 | C5×D4 | — | 2 | 1 | no | — |
| 422 | C5×D4 | — | 2 | 1 | no | — |
| 423 | C5×D4 | — | 2 | 1 | no | — |
| 424 | C5×D4 | — | 12 | 2 | no | — |
| 425 | C5×D4 | — | 24 | 1 | no | — |
| 426 | C5×D4 | #237 | 1 | 2 | yes | — |
| 427 | C2×C4×C5 | — | 3 | 1 | no | — |
| 428 | C2×C4×C5 | — | 6 | 1 | no | — |
| 429 | C2×C4×C5 | — | 6 | 1 | no | — |
| 430 | C2×C4×C5 | — | 6 | 1 | no | — |
| 431 | C2×C4×C5 | — | 6 | 1 | no | — |
| 432 | C2×C4×C5 | — | 12 | 2 | no | — |
| 433 | C2×C4×C5 | C23×D3 | 1 | 1 | yes | characteristic |
| 434 | C22⋊D5 | — | 4 | 2 | no | — |
| 435 | C22⋊D5 | — | 6 | 2 | no | — |
| 436 | C22⋊D5 | — | 8 | 1 | no | — |
| 437 | C2×Dic5 | — | 2 | 1 | no | — |
| 438 | C2×Dic5 | — | 2 | 1 | no | — |
| 439 | C2×Dic5 | — | 3 | 1 | no | — |
| 440 | C2×Dic5 | — | 3 | 1 | no | — |
| 441 | C2×Dic5 | — | 4 | 2 | no | — |
| 442 | C2×Dic5 | — | 6 | 1 | no | — |
| 443 | C2×Dic5 | — | 6 | 1 | no | — |
| 444 | C2×Dic5 | — | 12 | 2 | no | — |
| 445 | C2×Dic5 | — | 12 | 2 | no | — |
| 446 | C2×Dic5 | D3×D4 | 1 | 1 | yes | characteristic |
| 447 | C4×D5 | — | 2 | 1 | no | — |
| 448 | C4×D5 | — | 2 | 1 | no | — |
| 449 | Dic10 | — | 2 | 1 | no | — |
| 450 | Dic10 | — | 2 | 1 | no | — |
| 451 | Dic10 | — | 24 | 1 | no | — |
| 452 | C5×C8 | — | 2 | 1 | no | — |
| 453 | C5×C8 | — | 6 | 1 | no | — |
| 454 | #168 | — | 2 | 1 | no | — |
| 455 | #168 | — | 6 | 1 | no | — |
| 456 | C2×#41 | — | 3 | 1 | no | — |
| 457 | C2×#41 | — | 5 | 1 | no | — |
| 458 | C2×SD16 | — | 3 | 1 | no | — |
| 459 | C2×SD16 | — | 5 | 1 | no | — |
| 460 | C2×D8 | D3×D5 | 1 | 1 | yes | characteristic |
| 461 | C22×C8 | — | 15 | 1 | no | — |
| 462 | C22×C8 | — | 15 | 1 | no | — |
| 463 | C4⋊Q8 | — | 15 | 1 | no | — |
| 464 | C4⋊Q8 | — | 15 | 1 | no | — |
| 465 | #124 | — | 30 | 1 | no | — |
| 466 | #124 | — | 30 | 1 | no | — |
| 467 | #123 | — | 30 | 1 | no | — |
| 468 | #123 | — | 30 | 1 | no | — |
| 469 | C22⋊Q8 | — | 15 | 1 | no | — |
| 470 | C22⋊Q8 | — | 15 | 1 | no | — |
| 471 | #121 | — | 3 | 1 | no | — |
| 472 | #121 | — | 5 | 1 | no | — |
| 473 | #121 | — | 30 | 1 | no | — |
| 474 | #121 | — | 30 | 1 | no | — |
| 475 | C4×D4 | — | 15 | 1 | no | — |
| 476 | C4×D4 | — | 15 | 1 | no | — |
| 477 | C4×D4 | — | 15 | 1 | no | — |
| 478 | #117 | — | 15 | 1 | no | — |
| 479 | #117 | — | 15 | 1 | no | — |
| 480 | #117 | — | 30 | 1 | no | — |
| 481 | C2×C4⋊C4 | — | 30 | 1 | no | — |
| 482 | #107 | — | 15 | 1 | no | — |
| 483 | #106 | — | 15 | 1 | no | — |
| 484 | #106 | — | 15 | 1 | no | — |
| 485 | C4⋊C8 | — | 15 | 1 | no | — |
| 486 | #103 | — | 3 | 1 | no | — |
| 487 | #103 | — | 5 | 1 | no | — |
| 488 | #103 | — | 15 | 1 | no | — |
| 489 | #103 | — | 15 | 1 | no | — |
| 490 | #103 | — | 15 | 1 | no | — |
| 491 | #103 | — | 15 | 1 | no | — |
| 492 | #102 | — | 3 | 1 | no | — |
| 493 | #102 | — | 5 | 1 | no | — |
| 494 | #102 | — | 15 | 1 | no | — |
| 495 | #102 | — | 15 | 1 | no | — |
| 496 | C22⋊C8 | — | 3 | 1 | no | — |
| 497 | C22⋊C8 | — | 5 | 1 | no | — |
| 498 | C4×C8 | — | 15 | 1 | no | — |
| 499 | C2×C3×C5 | — | 4 | 2 | no | — |
| 500 | C2×C3×C5 | — | 8 | 1 | no | — |
| 501 | C2×C3×C5 | #546 | 1 | 1 | yes | characteristic |
| 502 | C2×C3×C5 | C2×#135 | 1 | 1 | yes | characteristic |
| 503 | C2×C3×C5 | #577 | 1 | 1 | yes | characteristic |
| 504 | C3×D5 | — | 4 | 1 | no | — |
| 505 | C5×D3 | — | 4 | 1 | no | — |
| 506 | C23×C3 | — | 2 | 1 | no | — |
| 507 | C23×C3 | — | 2 | 1 | no | — |
| 508 | C23×C3 | — | 5 | 1 | no | — |
| 509 | C22×D3 | D4×D5 | 1 | 1 | yes | characteristic |
| 510 | C3×Q8 | — | 10 | 1 | no | — |
| 511 | C3×Q8 | — | 10 | 1 | no | — |
| 512 | C3×D4 | — | 2 | 1 | no | — |
| 513 | C3×D4 | — | 2 | 1 | no | — |
| 514 | C3×D4 | — | 2 | 1 | no | — |
| 515 | C3×D4 | — | 20 | 2 | no | — |
| 516 | C3×D4 | — | 40 | 1 | no | — |
| 517 | C3×D4 | #711 | 1 | 2 | yes | — |
| 518 | C2×C3×C4 | — | 5 | 1 | no | — |
| 519 | C2×C3×C4 | — | 10 | 1 | no | — |
| 520 | C2×C3×C4 | — | 10 | 1 | no | — |
| 521 | C2×C3×C4 | — | 10 | 1 | no | — |
| 522 | C2×C3×C4 | — | 10 | 1 | no | — |
| 523 | C2×C3×C4 | — | 20 | 2 | no | — |
| 524 | C2×C3×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 525 | #67 | — | 4 | 2 | no | — |
| 526 | #67 | — | 8 | 1 | no | — |
| 527 | #67 | — | 10 | 2 | no | — |
| 528 | C2×Dic3 | — | 2 | 1 | no | — |
| 529 | C2×Dic3 | — | 2 | 1 | no | — |
| 530 | C2×Dic3 | — | 4 | 2 | no | — |
| 531 | C2×Dic3 | — | 5 | 1 | no | — |
| 532 | C2×Dic3 | — | 5 | 1 | no | — |
| 533 | C2×Dic3 | — | 10 | 1 | no | — |
| 534 | C2×Dic3 | — | 10 | 1 | no | — |
| 535 | C2×Dic3 | — | 20 | 2 | no | — |
| 536 | C2×Dic3 | — | 20 | 2 | no | — |
| 537 | C2×Dic3 | D4×D5 | 1 | 1 | yes | characteristic |
| 538 | C4×D3 | — | 2 | 1 | no | — |
| 539 | C4×D3 | — | 2 | 1 | no | — |
| 540 | Dic6 | — | 2 | 1 | no | — |
| 541 | Dic6 | — | 2 | 1 | no | — |
| 542 | Dic6 | — | 40 | 1 | no | — |
| 543 | C3×C8 | — | 2 | 1 | no | — |
| 544 | C3×C8 | — | 10 | 1 | no | — |
| 545 | C3⋊C8 | — | 2 | 1 | no | — |
| 546 | C3⋊C8 | — | 10 | 1 | no | — |
| 547 | C22×C5 | — | 2 | 2 | no | — |
| 548 | C22×C5 | — | 4 | 1 | no | — |
| 549 | C22×C5 | — | 4 | 1 | no | — |
| 550 | C22×C5 | — | 4 | 1 | no | — |
| 551 | C22×C5 | — | 4 | 1 | no | — |
| 552 | C22×C5 | — | 4 | 1 | no | — |
| 553 | C22×C5 | — | 6 | 1 | no | — |
| 554 | C22×C5 | — | 6 | 1 | no | — |
| 555 | C22×C5 | — | 6 | 1 | no | — |
| 556 | C22×C5 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 557 | C2×D5 | — | 2 | 1 | no | — |
| 558 | C2×D5 | — | 2 | 1 | no | — |
| 559 | C2×D5 | — | 2 | 1 | no | — |
| 560 | C4×C5 | — | 6 | 1 | no | — |
| 561 | C4×C5 | — | 12 | 1 | no | — |
| 562 | C4×C5 | — | 12 | 1 | no | — |
| 563 | C4×C5 | C2×#237 | 1 | 1 | yes | characteristic |
| 564 | C4×C5 | #1004 | 1 | 1 | yes | characteristic |
| 565 | Dic5 | — | 2 | 1 | no | — |
| 566 | Dic5 | — | 3 | 2 | no | — |
| 567 | Dic5 | — | 4 | 1 | no | — |
| 568 | Dic5 | — | 4 | 1 | no | — |
| 569 | Dic5 | — | 6 | 1 | no | — |
| 570 | Dic5 | — | 12 | 1 | no | — |
| 571 | Dic5 | — | 12 | 1 | no | — |
| 572 | #41 | — | 6 | 2 | no | — |
| 573 | #41 | — | 10 | 2 | no | — |
| 574 | #41 | — | 12 | 1 | no | — |
| 575 | #41 | — | 20 | 1 | no | — |
| 576 | C2×Q8 | — | 3 | 1 | no | — |
| 577 | C2×Q8 | — | 5 | 1 | no | — |
| 578 | C2×Q8 | — | 30 | 1 | no | — |
| 579 | C2×D4 | — | 6 | 1 | no | — |
| 580 | C2×D4 | — | 6 | 1 | no | — |
| 581 | C2×D4 | — | 10 | 1 | no | — |
| 582 | C2×D4 | — | 10 | 1 | no | — |
| 583 | C2×D4 | — | 15 | 1 | no | — |
| 584 | C2×D4 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 585 | C2×D4 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 586 | C22×C4 | — | 3 | 1 | no | — |
| 587 | C22×C4 | — | 5 | 1 | no | — |
| 588 | C22×C4 | — | 6 | 1 | no | — |
| 589 | C22×C4 | — | 10 | 1 | no | — |
| 590 | C22×C4 | — | 30 | 1 | no | — |
| 591 | C22×C4 | — | 30 | 1 | no | — |
| 592 | SD16 | — | 12 | 1 | no | — |
| 593 | SD16 | — | 20 | 1 | no | — |
| 594 | D8 | — | 2 | 2 | no | — |
| 595 | C2×C8 | — | 3 | 1 | no | — |
| 596 | C2×C8 | — | 5 | 1 | no | — |
| 597 | C2×C8 | — | 15 | 1 | no | — |
| 598 | C2×C8 | — | 60 | 1 | no | — |
| 599 | C2×C8 | — | 60 | 1 | no | — |
| 600 | C2×C8 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 601 | C4⋊C4 | — | 3 | 1 | no | — |
| 602 | C4⋊C4 | — | 5 | 1 | no | — |
| 603 | C4⋊C4 | — | 15 | 1 | no | — |
| 604 | C4⋊C4 | — | 15 | 1 | no | — |
| 605 | C4⋊C4 | — | 15 | 1 | no | — |
| 606 | C4⋊C4 | — | 30 | 1 | no | — |
| 607 | C4⋊C4 | — | 30 | 1 | no | — |
| 608 | C4⋊C4 | — | 30 | 1 | no | — |
| 609 | C4⋊C4 | — | 30 | 1 | no | — |
| 610 | C4⋊C4 | — | 30 | 1 | no | — |
| 611 | C22⋊C4 | — | 6 | 1 | no | — |
| 612 | C22⋊C4 | — | 10 | 1 | no | — |
| 613 | C22⋊C4 | — | 15 | 1 | no | — |
| 614 | C22⋊C4 | — | 15 | 1 | no | — |
| 615 | C22⋊C4 | — | 30 | 1 | no | — |
| 616 | C22⋊C4 | — | 30 | 1 | no | — |
| 617 | C22⋊C4 | — | 30 | 1 | no | — |
| 618 | C22⋊C4 | — | 30 | 1 | no | — |
| 619 | C22⋊C4 | — | 30 | 1 | no | — |
| 620 | C22⋊C4 | — | 30 | 1 | no | — |
| 621 | C42 | — | 15 | 1 | no | — |
| 622 | C42 | — | 30 | 1 | no | — |
| 623 | C42 | — | 30 | 1 | no | — |
| 624 | C3×C5 | #3303 | 1 | 1 | yes | characteristic, complemented, Hall |
| 625 | C22×C3 | — | 2 | 2 | no | — |
| 626 | C22×C3 | — | 4 | 1 | no | — |
| 627 | C22×C3 | — | 4 | 1 | no | — |
| 628 | C22×C3 | — | 4 | 1 | no | — |
| 629 | C22×C3 | — | 4 | 1 | no | — |
| 630 | C22×C3 | — | 4 | 1 | no | — |
| 631 | C22×C3 | — | 10 | 1 | no | — |
| 632 | C22×C3 | — | 10 | 1 | no | — |
| 633 | C22×C3 | — | 10 | 1 | no | — |
| 634 | C22×C3 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 635 | C2×D3 | — | 2 | 1 | no | — |
| 636 | C2×D3 | — | 2 | 1 | no | — |
| 637 | C2×D3 | — | 2 | 1 | no | — |
| 638 | C3×C4 | — | 10 | 1 | no | — |
| 639 | C3×C4 | — | 20 | 1 | no | — |
| 640 | C3×C4 | — | 20 | 1 | no | — |
| 641 | C3×C4 | C2×#711 | 1 | 1 | yes | characteristic |
| 642 | C3×C4 | #4144 | 1 | 1 | yes | characteristic |
| 643 | Dic3 | — | 2 | 1 | no | — |
| 644 | Dic3 | — | 4 | 1 | no | — |
| 645 | Dic3 | — | 4 | 1 | no | — |
| 646 | Dic3 | — | 5 | 2 | no | — |
| 647 | Dic3 | — | 10 | 1 | no | — |
| 648 | Dic3 | — | 20 | 1 | no | — |
| 649 | Dic3 | — | 20 | 1 | no | — |
| 650 | C2×C5 | — | 4 | 2 | no | — |
| 651 | C2×C5 | — | 8 | 1 | no | — |
| 652 | C2×C5 | — | 12 | 1 | no | — |
| 653 | C2×C5 | #5591 | 1 | 1 | yes | characteristic |
| 654 | C2×C5 | D3×#135 | 1 | 1 | yes | characteristic |
| 655 | C2×C5 | #5775 | 1 | 1 | yes | characteristic |
| 656 | D5 | — | 4 | 1 | no | — |
| 657 | C23 | — | 2 | 1 | no | — |
| 658 | C23 | — | 2 | 1 | no | — |
| 659 | C23 | — | 3 | 1 | no | — |
| 660 | C23 | — | 5 | 1 | no | — |
| 661 | Q8 | — | 6 | 1 | no | — |
| 662 | Q8 | — | 6 | 1 | no | — |
| 663 | Q8 | — | 10 | 1 | no | — |
| 664 | Q8 | — | 10 | 1 | no | — |
| 665 | Q8 | — | 120 | 1 | no | — |
| 666 | D4 | — | 2 | 1 | no | — |
| 667 | D4 | — | 2 | 1 | no | — |
| 668 | D4 | — | 2 | 1 | no | — |
| 669 | D4 | — | 12 | 2 | no | — |
| 670 | D4 | — | 20 | 2 | no | — |
| 671 | D4 | — | 24 | 1 | no | — |
| 672 | D4 | — | 30 | 2 | no | — |
| 673 | D4 | — | 40 | 1 | no | — |
| 674 | D4 | #6780 | 1 | 2 | yes | — |
| 675 | C2×C4 | — | 3 | 1 | no | — |
| 676 | C2×C4 | — | 5 | 1 | no | — |
| 677 | C2×C4 | — | 6 | 1 | no | — |
| 678 | C2×C4 | — | 6 | 1 | no | — |
| 679 | C2×C4 | — | 6 | 1 | no | — |
| 680 | C2×C4 | — | 6 | 1 | no | — |
| 681 | C2×C4 | — | 10 | 1 | no | — |
| 682 | C2×C4 | — | 10 | 1 | no | — |
| 683 | C2×C4 | — | 10 | 1 | no | — |
| 684 | C2×C4 | — | 10 | 1 | no | — |
| 685 | C2×C4 | — | 12 | 2 | no | — |
| 686 | C2×C4 | — | 15 | 1 | no | — |
| 687 | C2×C4 | — | 15 | 1 | no | — |
| 688 | C2×C4 | — | 20 | 2 | no | — |
| 689 | C2×C4 | — | 30 | 1 | no | — |
| 690 | C2×C4 | — | 30 | 1 | no | — |
| 691 | C2×C4 | — | 60 | 2 | no | — |
| 692 | C2×C4 | — | 60 | 2 | no | — |
| 693 | C2×C4 | C22×D3×D5 | 1 | 1 | yes | characteristic |
| 694 | C8 | — | 2 | 1 | no | — |
| 695 | C8 | — | 6 | 1 | no | — |
| 696 | C8 | — | 10 | 1 | no | — |
| 697 | C8 | — | 30 | 1 | no | — |
| 698 | C2×C3 | — | 4 | 2 | no | — |
| 699 | C2×C3 | — | 8 | 1 | no | — |
| 700 | C2×C3 | — | 20 | 1 | no | — |
| 701 | C2×C3 | #65925 | 1 | 1 | yes | characteristic |
| 702 | C2×C3 | D5×#135 | 1 | 1 | yes | characteristic |
| 703 | C2×C3 | #66109 | 1 | 1 | yes | characteristic |
| 704 | D3 | — | 4 | 1 | no | — |
| 705 | C5 | #80104 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 706 | C22 | — | 2 | 2 | no | — |
| 707 | C22 | — | 4 | 1 | no | — |
| 708 | C22 | — | 4 | 1 | no | — |
| 709 | C22 | — | 4 | 1 | no | — |
| 710 | C22 | — | 4 | 1 | no | — |
| 711 | C22 | — | 4 | 1 | no | — |
| 712 | C22 | — | 6 | 1 | no | — |
| 713 | C22 | — | 6 | 1 | no | — |
| 714 | C22 | — | 6 | 1 | no | — |
| 715 | C22 | — | 10 | 1 | no | — |
| 716 | C22 | — | 10 | 1 | no | — |
| 717 | C22 | — | 10 | 1 | no | — |
| 718 | C22 | D3×D4×D5 | 1 | 1 | yes | characteristic |
| 719 | C4 | — | 6 | 1 | no | — |
| 720 | C4 | — | 10 | 1 | no | — |
| 721 | C4 | — | 12 | 1 | no | — |
| 722 | C4 | — | 12 | 1 | no | — |
| 723 | C4 | — | 15 | 2 | no | — |
| 724 | C4 | — | 20 | 1 | no | — |
| 725 | C4 | — | 20 | 1 | no | — |
| 726 | C4 | — | 30 | 1 | no | — |
| 727 | C4 | — | 60 | 1 | no | — |
| 728 | C4 | — | 60 | 1 | no | — |
| 729 | C4 | #92025 | 1 | 1 | yes | characteristic |
| 730 | C4 | C2×#6780 | 1 | 1 | yes | characteristic |
| 731 | C3 | #10611835 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 732 | C2 | — | 4 | 2 | no | — |
| 733 | C2 | — | 8 | 1 | no | — |
| 734 | C2 | — | 12 | 1 | no | — |
| 735 | C2 | — | 20 | 1 | no | — |
| 736 | C2 | #11754053 | 1 | 1 | yes | characteristic |
| 737 | C2 | #11754057 | 1 | 1 | yes | characteristic |
| 738 | C2 | #11754925 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta