| 1 | #11755255 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11754977 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | SD16×Dic15 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C5×#5173 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×#65462 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11749366 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11749364 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11749296 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11749115 | 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 | #11747680 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #11747675 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #10611979 | — | 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×SD16 | C22 | 1 | 1 | yes | characteristic |
| 20 | Q8×Dic15 | C22 | 1 | 1 | yes | characteristic |
| 21 | D4×Dic15 | C22 | 1 | 1 | yes | characteristic |
| 22 | C5×#946 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×C5×#216 | C22 | 1 | 1 | yes | characteristic |
| 24 | C3×#4092 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×C3×#689 | C22 | 1 | 1 | yes | characteristic |
| 26 | #91571 | — | 2 | 1 | no | — |
| 27 | C2×#6669 | — | 2 | 1 | no | — |
| 28 | #91539 | — | 2 | 1 | no | — |
| 29 | #91536 | — | 2 | 1 | no | — |
| 30 | #91470 | C22 | 1 | 1 | yes | characteristic |
| 31 | #91464 | — | 2 | 1 | no | — |
| 32 | C4×#1201 | C22 | 1 | 1 | yes | characteristic |
| 33 | #91385 | C22 | 1 | 1 | yes | characteristic |
| 34 | #91369 | C22 | 1 | 1 | yes | characteristic |
| 35 | #91362 | — | 2 | 1 | no | — |
| 36 | #91359 | C22 | 1 | 1 | yes | characteristic |
| 37 | #91358 | C22 | 1 | 1 | yes | characteristic |
| 38 | #91342 | — | 2 | 1 | no | — |
| 39 | #91338 | C22 | 1 | 1 | yes | characteristic |
| 40 | #91325 | — | 2 | 1 | no | — |
| 41 | C2×D3×#168 | C22 | 1 | 1 | yes | characteristic |
| 42 | C2×D5×C3⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 43 | #91119 | C22 | 1 | 1 | yes | characteristic |
| 44 | #91116 | C22 | 1 | 1 | yes | characteristic |
| 45 | #91101 | 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 | #90990 | C22 | 1 | 1 | yes | characteristic |
| 54 | #90988 | 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 | #80248 | — | 5 | 1 | no | maximal, Hall |
| 61 | #66158 | — | 3 | 1 | no | — |
| 62 | #65975 | — | 3 | 1 | no | — |
| 63 | C5×#452 | — | 3 | 1 | no | — |
| 64 | #65522 | — | 3 | 1 | no | — |
| 65 | #65477 | — | 3 | 1 | no | — |
| 66 | #65471 | — | 3 | 1 | no | — |
| 67 | #65462 | D3 | 1 | 1 | yes | characteristic, complemented |
| 68 | SD16×Dic5 | — | 3 | 1 | no | — |
| 69 | #65340 | — | 3 | 1 | no | — |
| 70 | #65104 | — | 3 | 1 | no | — |
| 71 | #65081 | — | 3 | 1 | no | — |
| 72 | #65061 | — | 3 | 1 | no | — |
| 73 | #65048 | — | 3 | 1 | no | — |
| 74 | #65014 | — | 3 | 1 | no | — |
| 75 | #65012 | — | 3 | 1 | no | — |
| 76 | C2×C3×C5×Q8 | C23 | 1 | 1 | yes | characteristic |
| 77 | C2×C3×C5×D4 | C23 | 1 | 1 | yes | characteristic |
| 78 | C22×Dic15 | — | 2 | 1 | no | — |
| 79 | C2×C5×#67 | — | 2 | 1 | no | — |
| 80 | C22×C5×Dic3 | — | 2 | 1 | no | — |
| 81 | C5×#237 | — | 2 | 2 | no | — |
| 82 | C5×#237 | — | 4 | 1 | no | — |
| 83 | C2×C4×C5×D3 | C23 | 1 | 1 | yes | characteristic |
| 84 | C2×C5×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 85 | C2×C3×C22⋊D5 | — | 2 | 1 | no | — |
| 86 | C22×C3×Dic5 | — | 2 | 1 | no | — |
| 87 | C3×#711 | — | 2 | 2 | no | — |
| 88 | C3×#711 | — | 4 | 1 | no | — |
| 89 | C2×C3×C4×D5 | C23 | 1 | 1 | yes | characteristic |
| 90 | C2×C3×Dic10 | C23 | 1 | 1 | yes | characteristic |
| 91 | C2×#1204 | — | 2 | 1 | no | — |
| 92 | C2×#1201 | D4 | 1 | 1 | yes | characteristic |
| 93 | C3×C5×SD16 | — | 2 | 2 | no | — |
| 94 | C2×C3×C5×C8 | C23 | 1 | 1 | yes | characteristic |
| 95 | #6719 | — | 2 | 1 | no | — |
| 96 | C4⋊Dic15 | — | 2 | 1 | no | — |
| 97 | C4⋊Dic15 | C23 | 1 | 1 | yes | characteristic |
| 98 | C4⋊Dic15 | C23 | 1 | 1 | yes | characteristic |
| 99 | C4×Dic15 | — | 2 | 1 | no | — |
| 100 | C4×Dic15 | C23 | 1 | 1 | yes | characteristic |
| 101 | C2×C3⋊#168 | C23 | 1 | 1 | yes | characteristic |
| 102 | C5×#216 | — | 4 | 1 | no | — |
| 103 | C5×(C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 104 | C5×C4⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 105 | C5×Dic3⋊C4 | — | 2 | 1 | no | — |
| 106 | C2×C5×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 107 | C3×#689 | — | 4 | 1 | no | — |
| 108 | C3×#685 | — | 2 | 1 | no | — |
| 109 | C3×C4⋊Dic5 | C23 | 1 | 1 | yes | characteristic |
| 110 | C3×#683 | — | 2 | 1 | no | — |
| 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 | #5641 | — | 5 | 1 | no | — |
| 130 | C3×#452 | — | 5 | 1 | no | — |
| 131 | #5233 | — | 5 | 1 | no | — |
| 132 | #5188 | — | 5 | 1 | no | — |
| 133 | #5182 | — | 5 | 1 | no | — |
| 134 | #5173 | D5 | 1 | 1 | yes | characteristic, complemented |
| 135 | Dic3×SD16 | — | 5 | 1 | no | — |
| 136 | #5051 | — | 5 | 1 | no | — |
| 137 | #4815 | — | 5 | 1 | no | — |
| 138 | #4792 | — | 5 | 1 | no | — |
| 139 | #4772 | — | 5 | 1 | no | — |
| 140 | #4759 | — | 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×Q16 | — | 3 | 1 | no | — |
| 146 | C2×C5×SD16 | C2×D3 | 1 | 1 | yes | characteristic |
| 147 | C5×C22⋊Q8 | — | 3 | 1 | no | — |
| 148 | #4092 | — | 3 | 1 | no | — |
| 149 | #4092 | C2×D3 | 1 | 1 | yes | characteristic |
| 150 | Q8×Dic5 | — | 3 | 1 | no | — |
| 151 | #4090 | — | 3 | 1 | no | — |
| 152 | C2×#689 | C2×D3 | 1 | 1 | yes | characteristic |
| 153 | #4085 | — | 6 | 1 | no | — |
| 154 | #4081 | — | 6 | 1 | no | — |
| 155 | D4×Dic5 | — | 3 | 1 | no | — |
| 156 | #4075 | — | 6 | 1 | no | — |
| 157 | C4×C22⋊D5 | — | 3 | 1 | no | — |
| 158 | #4072 | — | 3 | 1 | no | — |
| 159 | #4070 | — | 3 | 1 | no | — |
| 160 | C2×#683 | — | 6 | 1 | no | — |
| 161 | C22×#168 | — | 3 | 1 | no | — |
| 162 | C2×C8×D5 | — | 3 | 1 | no | — |
| 163 | #4044 | — | 6 | 1 | no | — |
| 164 | #4038 | — | 3 | 1 | no | — |
| 165 | #4034 | — | 3 | 1 | no | — |
| 166 | #4033 | — | 6 | 1 | no | — |
| 167 | #4031 | — | 6 | 1 | no | — |
| 168 | #4025 | — | 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 | #3967 | — | 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 | #3939 | — | 3 | 1 | no | — |
| 186 | #3302 | — | 15 | 1 | no | Sylow |
| 187 | C23×C3×C5 | — | 2 | 1 | no | — |
| 188 | C22×C5×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 189 | C22×C3×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 190 | C3×C5×Q8 | — | 2 | 1 | no | — |
| 191 | C3×C5×Q8 | — | 2 | 1 | no | — |
| 192 | C3×C5×D4 | — | 2 | 1 | no | — |
| 193 | C3×C5×D4 | #41 | 1 | 2 | yes | — |
| 194 | C2×C3×C4×C5 | — | 2 | 1 | no | — |
| 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 | C2×D4 | 1 | 1 | yes | characteristic |
| 200 | C2×Dic15 | C2×D4 | 1 | 1 | yes | characteristic |
| 201 | C5×#67 | — | 4 | 2 | no | — |
| 202 | C2×C5×Dic3 | — | 2 | 1 | no | — |
| 203 | C2×C5×Dic3 | — | 2 | 1 | no | — |
| 204 | C2×C5×Dic3 | — | 4 | 2 | no | — |
| 205 | C2×C5×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 206 | C4×C5×D3 | — | 2 | 1 | no | — |
| 207 | C4×C5×D3 | — | 2 | 1 | no | — |
| 208 | C5×Dic6 | — | 2 | 1 | no | — |
| 209 | C5×Dic6 | — | 2 | 1 | no | — |
| 210 | C3×C22⋊D5 | — | 4 | 2 | no | — |
| 211 | C2×C3×Dic5 | — | 2 | 1 | no | — |
| 212 | C2×C3×Dic5 | — | 2 | 1 | no | — |
| 213 | C2×C3×Dic5 | — | 4 | 2 | no | — |
| 214 | C2×C3×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 215 | C3×C4×D5 | — | 2 | 1 | no | — |
| 216 | C3×C4×D5 | — | 2 | 1 | no | — |
| 217 | C3×Dic10 | — | 2 | 1 | no | — |
| 218 | C3×Dic10 | — | 2 | 1 | no | — |
| 219 | #1204 | — | 4 | 2 | no | — |
| 220 | #1201 | — | 2 | 2 | no | — |
| 221 | C3×C5×C8 | — | 2 | 1 | no | — |
| 222 | C3⋊#168 | — | 2 | 1 | no | — |
| 223 | C3×#168 | — | 2 | 1 | no | — |
| 224 | C5×C3⋊C8 | — | 2 | 1 | no | — |
| 225 | C2×C3×#41 | — | 5 | 1 | no | — |
| 226 | C2×#237 | C2×D5 | 1 | 1 | yes | characteristic |
| 227 | C2×C3×Q16 | — | 5 | 1 | no | — |
| 228 | C2×C3×SD16 | C2×D5 | 1 | 1 | yes | characteristic |
| 229 | C3×C22⋊Q8 | — | 5 | 1 | no | — |
| 230 | #946 | — | 5 | 1 | no | — |
| 231 | #946 | C2×D5 | 1 | 1 | yes | characteristic |
| 232 | Q8×Dic3 | — | 5 | 1 | no | — |
| 233 | #944 | — | 5 | 1 | no | — |
| 234 | C2×#216 | C2×D5 | 1 | 1 | yes | characteristic |
| 235 | #939 | — | 10 | 1 | no | — |
| 236 | #935 | — | 10 | 1 | no | — |
| 237 | D4×Dic3 | — | 5 | 1 | no | — |
| 238 | #929 | — | 10 | 1 | no | — |
| 239 | C4×#67 | — | 5 | 1 | no | — |
| 240 | #926 | — | 5 | 1 | no | — |
| 241 | #924 | — | 5 | 1 | no | — |
| 242 | C2×Dic3⋊C4 | — | 10 | 1 | no | — |
| 243 | C22×C3⋊C8 | — | 5 | 1 | no | — |
| 244 | C2×D3×C8 | — | 5 | 1 | no | — |
| 245 | #898 | — | 10 | 1 | no | — |
| 246 | #892 | — | 5 | 1 | no | — |
| 247 | #888 | — | 5 | 1 | no | — |
| 248 | #887 | — | 10 | 1 | no | — |
| 249 | #885 | — | 10 | 1 | no | — |
| 250 | #879 | — | 10 | 1 | no | — |
| 251 | C3×#103 | — | 5 | 1 | no | — |
| 252 | C3×#102 | — | 5 | 1 | no | — |
| 253 | C3×C22⋊C8 | — | 5 | 1 | no | — |
| 254 | #835 | — | 5 | 1 | no | — |
| 255 | #835 | — | 5 | 1 | no | — |
| 256 | #835 | — | 5 | 1 | no | — |
| 257 | #832 | — | 5 | 1 | no | — |
| 258 | #832 | C2×D5 | 1 | 1 | yes | characteristic |
| 259 | (C2×D3)⋊C8 | C2×D5 | 1 | 1 | yes | characteristic |
| 260 | #818 | — | 5 | 1 | no | — |
| 261 | #817 | — | 5 | 1 | no | — |
| 262 | #816 | — | 5 | 1 | no | — |
| 263 | #816 | C2×D5 | 1 | 1 | yes | characteristic |
| 264 | Dic3⋊C8 | — | 5 | 1 | no | — |
| 265 | C8×Dic3 | — | 5 | 1 | no | — |
| 266 | #810 | — | 5 | 1 | no | — |
| 267 | #807 | — | 5 | 1 | no | — |
| 268 | C5×#41 | — | 6 | 2 | no | — |
| 269 | C5×#41 | — | 12 | 1 | no | — |
| 270 | C2×C5×Q8 | — | 3 | 1 | no | — |
| 271 | C2×C5×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 272 | C2×C5×D4 | — | 6 | 1 | no | — |
| 273 | C2×C5×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 274 | C22×C4×C5 | — | 3 | 1 | no | — |
| 275 | C22×C4×C5 | — | 6 | 1 | no | — |
| 276 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 277 | C2×C22⋊D5 | — | 3 | 1 | no | — |
| 278 | C22×Dic5 | — | 2 | 1 | no | — |
| 279 | C22×Dic5 | — | 6 | 1 | no | — |
| 280 | #711 | — | 2 | 2 | no | — |
| 281 | #711 | — | 4 | 1 | no | — |
| 282 | C2×C4×D5 | C22×D3 | 1 | 1 | yes | characteristic |
| 283 | C2×Dic10 | — | 6 | 1 | no | — |
| 284 | C2×Dic10 | C22×D3 | 1 | 1 | yes | characteristic |
| 285 | C5×Q16 | — | 12 | 1 | no | — |
| 286 | C5×SD16 | — | 2 | 2 | no | — |
| 287 | C2×C5×C8 | — | 3 | 1 | no | — |
| 288 | C2×C5×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 289 | C5×C4⋊C4 | — | 3 | 1 | no | — |
| 290 | C5×C4⋊C4 | — | 6 | 1 | no | — |
| 291 | C5×C22⋊C4 | — | 6 | 1 | no | — |
| 292 | C22⋊Dic5 | — | 3 | 1 | no | — |
| 293 | C22⋊Dic5 | — | 6 | 1 | no | — |
| 294 | C22⋊Dic5 | — | 6 | 1 | no | — |
| 295 | C22⋊Dic5 | — | 6 | 1 | no | — |
| 296 | #689 | — | 4 | 1 | no | — |
| 297 | #685 | — | 2 | 1 | no | — |
| 298 | #685 | — | 3 | 1 | no | — |
| 299 | #685 | — | 6 | 1 | no | — |
| 300 | #685 | — | 6 | 1 | no | — |
| 301 | C4⋊Dic5 | — | 3 | 1 | no | — |
| 302 | C4⋊Dic5 | — | 3 | 1 | no | — |
| 303 | C4⋊Dic5 | — | 6 | 1 | no | — |
| 304 | C4⋊Dic5 | C22×D3 | 1 | 1 | yes | characteristic |
| 305 | #683 | — | 2 | 1 | no | — |
| 306 | #683 | — | 3 | 1 | no | — |
| 307 | #683 | — | 6 | 1 | no | — |
| 308 | #683 | — | 6 | 1 | no | — |
| 309 | #683 | — | 6 | 1 | no | — |
| 310 | #683 | — | 6 | 1 | no | — |
| 311 | #683 | — | 6 | 1 | no | — |
| 312 | C4×Dic5 | — | 3 | 1 | no | — |
| 313 | C4×Dic5 | — | 6 | 1 | no | — |
| 314 | C4×Dic5 | — | 6 | 1 | no | — |
| 315 | C4×Dic5 | — | 6 | 1 | no | — |
| 316 | C2×#168 | — | 3 | 1 | no | — |
| 317 | C2×#168 | — | 12 | 1 | no | — |
| 318 | C2×#168 | C22×D3 | 1 | 1 | yes | characteristic |
| 319 | C8×D5 | — | 12 | 1 | no | — |
| 320 | #556 | — | 15 | 1 | no | — |
| 321 | #547 | — | 15 | 1 | no | — |
| 322 | #487 | — | 15 | 1 | no | — |
| 323 | #485 | — | 15 | 1 | no | — |
| 324 | #485 | — | 15 | 1 | no | — |
| 325 | #474 | — | 15 | 1 | no | — |
| 326 | #467 | — | 15 | 1 | no | — |
| 327 | #467 | — | 15 | 1 | no | — |
| 328 | #462 | — | 15 | 1 | no | — |
| 329 | #452 | — | 3 | 1 | no | — |
| 330 | #452 | — | 5 | 1 | no | — |
| 331 | C4×SD16 | — | 15 | 1 | no | — |
| 332 | C8×D4 | — | 15 | 1 | no | — |
| 333 | #416 | — | 15 | 1 | no | — |
| 334 | #416 | — | 15 | 1 | no | — |
| 335 | C22×C3×C5 | — | 2 | 2 | no | — |
| 336 | C22×C3×C5 | — | 4 | 1 | no | — |
| 337 | C22×C3×C5 | — | 4 | 1 | no | — |
| 338 | C22×C3×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 339 | C2×C5×D3 | — | 2 | 1 | no | — |
| 340 | C2×C5×D3 | — | 2 | 1 | no | — |
| 341 | C2×C5×D3 | — | 2 | 1 | no | — |
| 342 | C2×C3×D5 | — | 2 | 1 | no | — |
| 343 | C2×C3×D5 | — | 2 | 1 | no | — |
| 344 | C2×C3×D5 | — | 2 | 1 | no | — |
| 345 | C3×C4×C5 | — | 4 | 1 | no | — |
| 346 | C3×C4×C5 | C2×#41 | 1 | 1 | yes | characteristic |
| 347 | C3×C4×C5 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 348 | Dic15 | — | 2 | 1 | no | — |
| 349 | Dic15 | — | 4 | 1 | no | — |
| 350 | Dic15 | — | 4 | 1 | no | — |
| 351 | Dic15 | #135 | 1 | 2 | yes | — |
| 352 | C3×Dic5 | — | 2 | 1 | no | — |
| 353 | C3×Dic5 | — | 4 | 1 | no | — |
| 354 | C3×Dic5 | — | 4 | 1 | no | — |
| 355 | C5×Dic3 | — | 2 | 1 | no | — |
| 356 | C5×Dic3 | — | 4 | 1 | no | — |
| 357 | C5×Dic3 | — | 4 | 1 | no | — |
| 358 | C3×#41 | — | 10 | 2 | no | — |
| 359 | C3×#41 | — | 20 | 1 | no | — |
| 360 | C2×C3×Q8 | — | 5 | 1 | no | — |
| 361 | C2×C3×Q8 | C22×D5 | 1 | 1 | yes | characteristic |
| 362 | C2×C3×D4 | — | 10 | 1 | no | — |
| 363 | C2×C3×D4 | C22×D5 | 1 | 1 | yes | characteristic |
| 364 | C22×C3×C4 | — | 5 | 1 | no | — |
| 365 | C22×C3×C4 | — | 10 | 1 | no | — |
| 366 | C2×#67 | — | 2 | 1 | no | — |
| 367 | C2×#67 | — | 5 | 1 | no | — |
| 368 | C22×Dic3 | — | 2 | 1 | no | — |
| 369 | C22×Dic3 | — | 10 | 1 | no | — |
| 370 | #237 | — | 2 | 2 | no | — |
| 371 | #237 | — | 4 | 1 | no | — |
| 372 | C2×C4×D3 | C22×D5 | 1 | 1 | yes | characteristic |
| 373 | C2×Dic6 | — | 10 | 1 | no | — |
| 374 | C2×Dic6 | C22×D5 | 1 | 1 | yes | characteristic |
| 375 | C3×Q16 | — | 20 | 1 | no | — |
| 376 | C3×SD16 | — | 2 | 2 | no | — |
| 377 | C2×C3×C8 | — | 5 | 1 | no | — |
| 378 | C2×C3×C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 379 | C3×C4⋊C4 | — | 5 | 1 | no | — |
| 380 | C3×C4⋊C4 | — | 10 | 1 | no | — |
| 381 | C3×C22⋊C4 | — | 10 | 1 | no | — |
| 382 | #217 | — | 5 | 1 | no | — |
| 383 | #217 | — | 10 | 1 | no | — |
| 384 | #217 | — | 10 | 1 | no | — |
| 385 | #217 | — | 10 | 1 | no | — |
| 386 | #216 | — | 4 | 1 | no | — |
| 387 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 388 | (C2×D3)⋊C4 | — | 5 | 1 | no | — |
| 389 | (C2×D3)⋊C4 | — | 10 | 1 | no | — |
| 390 | (C2×D3)⋊C4 | — | 10 | 1 | no | — |
| 391 | C4⋊Dic3 | — | 5 | 1 | no | — |
| 392 | C4⋊Dic3 | — | 5 | 1 | no | — |
| 393 | C4⋊Dic3 | — | 10 | 1 | no | — |
| 394 | C4⋊Dic3 | C22×D5 | 1 | 1 | yes | characteristic |
| 395 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 396 | Dic3⋊C4 | — | 5 | 1 | no | — |
| 397 | Dic3⋊C4 | — | 10 | 1 | no | — |
| 398 | Dic3⋊C4 | — | 10 | 1 | no | — |
| 399 | Dic3⋊C4 | — | 10 | 1 | no | — |
| 400 | Dic3⋊C4 | — | 10 | 1 | no | — |
| 401 | Dic3⋊C4 | — | 10 | 1 | no | — |
| 402 | C4×Dic3 | — | 5 | 1 | no | — |
| 403 | C4×Dic3 | — | 10 | 1 | no | — |
| 404 | C4×Dic3 | — | 10 | 1 | no | — |
| 405 | C4×Dic3 | — | 10 | 1 | no | — |
| 406 | C2×C3⋊C8 | — | 5 | 1 | no | — |
| 407 | C2×C3⋊C8 | — | 20 | 1 | no | — |
| 408 | C2×C3⋊C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 409 | D3×C8 | — | 20 | 1 | no | — |
| 410 | C23×C5 | — | 2 | 1 | no | — |
| 411 | C23×C5 | — | 3 | 1 | no | — |
| 412 | C22×D5 | D3×D4 | 1 | 1 | yes | characteristic |
| 413 | C5×Q8 | — | 2 | 1 | no | — |
| 414 | C5×Q8 | — | 2 | 1 | no | — |
| 415 | C5×Q8 | — | 6 | 1 | no | — |
| 416 | C5×Q8 | — | 6 | 1 | no | — |
| 417 | C5×D4 | — | 2 | 1 | no | — |
| 418 | C5×D4 | — | 12 | 2 | no | — |
| 419 | C5×D4 | #237 | 1 | 2 | yes | — |
| 420 | C2×C4×C5 | — | 2 | 1 | no | — |
| 421 | C2×C4×C5 | — | 3 | 1 | no | — |
| 422 | C2×C4×C5 | — | 6 | 1 | no | — |
| 423 | C2×C4×C5 | — | 6 | 1 | no | — |
| 424 | C2×C4×C5 | — | 6 | 1 | no | — |
| 425 | C2×C4×C5 | — | 6 | 1 | no | — |
| 426 | C2×C4×C5 | — | 12 | 2 | no | — |
| 427 | C2×C4×C5 | C23×D3 | 1 | 1 | yes | characteristic |
| 428 | C22⋊D5 | — | 4 | 2 | no | — |
| 429 | C22⋊D5 | — | 6 | 2 | no | — |
| 430 | C2×Dic5 | — | 2 | 1 | no | — |
| 431 | C2×Dic5 | — | 2 | 1 | no | — |
| 432 | C2×Dic5 | — | 3 | 1 | no | — |
| 433 | C2×Dic5 | — | 3 | 1 | no | — |
| 434 | C2×Dic5 | — | 4 | 2 | no | — |
| 435 | C2×Dic5 | — | 6 | 1 | no | — |
| 436 | C2×Dic5 | — | 6 | 1 | no | — |
| 437 | C2×Dic5 | — | 12 | 2 | no | — |
| 438 | C2×Dic5 | D3×D4 | 1 | 1 | yes | characteristic |
| 439 | C4×D5 | — | 2 | 1 | no | — |
| 440 | C4×D5 | — | 2 | 1 | no | — |
| 441 | Dic10 | — | 2 | 1 | no | — |
| 442 | Dic10 | — | 2 | 1 | no | — |
| 443 | Dic10 | — | 12 | 2 | no | — |
| 444 | C5×C8 | — | 2 | 1 | no | — |
| 445 | C5×C8 | — | 6 | 1 | no | — |
| 446 | #168 | — | 2 | 1 | no | — |
| 447 | #168 | — | 6 | 1 | no | — |
| 448 | C2×#41 | — | 3 | 1 | no | — |
| 449 | C2×#41 | — | 5 | 1 | no | — |
| 450 | C2×Q16 | — | 3 | 1 | no | — |
| 451 | C2×Q16 | — | 5 | 1 | no | — |
| 452 | C2×SD16 | D3×D5 | 1 | 1 | yes | characteristic |
| 453 | C22×C8 | — | 15 | 1 | no | — |
| 454 | C22×C8 | — | 15 | 1 | no | — |
| 455 | C4⋊Q8 | — | 15 | 1 | no | — |
| 456 | C4⋊Q8 | — | 15 | 1 | no | — |
| 457 | #126 | — | 30 | 1 | no | — |
| 458 | #126 | — | 30 | 1 | no | — |
| 459 | #124 | — | 30 | 1 | no | — |
| 460 | #123 | — | 30 | 1 | no | — |
| 461 | #123 | — | 30 | 1 | no | — |
| 462 | C22⋊Q8 | — | 3 | 1 | no | — |
| 463 | C22⋊Q8 | — | 5 | 1 | no | — |
| 464 | C22⋊Q8 | — | 15 | 1 | no | — |
| 465 | C22⋊Q8 | — | 15 | 1 | no | — |
| 466 | #121 | — | 30 | 1 | no | — |
| 467 | C4×Q8 | — | 15 | 1 | no | — |
| 468 | C4×Q8 | — | 30 | 1 | no | — |
| 469 | C4×D4 | — | 15 | 1 | no | — |
| 470 | C4×D4 | — | 15 | 1 | no | — |
| 471 | #117 | — | 15 | 1 | no | — |
| 472 | #117 | — | 15 | 1 | no | — |
| 473 | C2×C4⋊C4 | — | 30 | 1 | no | — |
| 474 | #107 | — | 15 | 1 | no | — |
| 475 | #107 | — | 15 | 1 | no | — |
| 476 | #106 | — | 15 | 1 | no | — |
| 477 | C4⋊C8 | — | 15 | 1 | no | — |
| 478 | #103 | — | 3 | 1 | no | — |
| 479 | #103 | — | 5 | 1 | no | — |
| 480 | #103 | — | 15 | 1 | no | — |
| 481 | #103 | — | 15 | 1 | no | — |
| 482 | #103 | — | 15 | 1 | no | — |
| 483 | #103 | — | 15 | 1 | no | — |
| 484 | #103 | — | 15 | 1 | no | — |
| 485 | #102 | — | 3 | 1 | no | — |
| 486 | #102 | — | 5 | 1 | no | — |
| 487 | #102 | — | 15 | 1 | no | — |
| 488 | C22⋊C8 | — | 3 | 1 | no | — |
| 489 | C22⋊C8 | — | 5 | 1 | no | — |
| 490 | C4×C8 | — | 15 | 1 | no | — |
| 491 | C2×C3×C5 | — | 4 | 2 | no | — |
| 492 | C2×C3×C5 | #546 | 1 | 1 | yes | characteristic |
| 493 | C2×C3×C5 | C2×#135 | 1 | 1 | yes | characteristic |
| 494 | C2×C3×C5 | #578 | 1 | 1 | yes | characteristic |
| 495 | C3×D5 | — | 4 | 1 | no | — |
| 496 | C5×D3 | — | 4 | 1 | no | — |
| 497 | C23×C3 | — | 2 | 1 | no | — |
| 498 | C23×C3 | — | 5 | 1 | no | — |
| 499 | C22×D3 | D4×D5 | 1 | 1 | yes | characteristic |
| 500 | C3×Q8 | — | 2 | 1 | no | — |
| 501 | C3×Q8 | — | 2 | 1 | no | — |
| 502 | C3×Q8 | — | 10 | 1 | no | — |
| 503 | C3×Q8 | — | 10 | 1 | no | — |
| 504 | C3×D4 | — | 2 | 1 | no | — |
| 505 | C3×D4 | — | 20 | 2 | no | — |
| 506 | C3×D4 | #711 | 1 | 2 | yes | — |
| 507 | C2×C3×C4 | — | 2 | 1 | no | — |
| 508 | C2×C3×C4 | — | 5 | 1 | no | — |
| 509 | C2×C3×C4 | — | 10 | 1 | no | — |
| 510 | C2×C3×C4 | — | 10 | 1 | no | — |
| 511 | C2×C3×C4 | — | 10 | 1 | no | — |
| 512 | C2×C3×C4 | — | 10 | 1 | no | — |
| 513 | C2×C3×C4 | — | 20 | 2 | no | — |
| 514 | C2×C3×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 515 | #67 | — | 4 | 2 | no | — |
| 516 | #67 | — | 10 | 2 | no | — |
| 517 | C2×Dic3 | — | 2 | 1 | no | — |
| 518 | C2×Dic3 | — | 2 | 1 | no | — |
| 519 | C2×Dic3 | — | 4 | 2 | no | — |
| 520 | C2×Dic3 | — | 5 | 1 | no | — |
| 521 | C2×Dic3 | — | 5 | 1 | no | — |
| 522 | C2×Dic3 | — | 10 | 1 | no | — |
| 523 | C2×Dic3 | — | 10 | 1 | no | — |
| 524 | C2×Dic3 | — | 20 | 2 | no | — |
| 525 | C2×Dic3 | D4×D5 | 1 | 1 | yes | characteristic |
| 526 | C4×D3 | — | 2 | 1 | no | — |
| 527 | C4×D3 | — | 2 | 1 | no | — |
| 528 | Dic6 | — | 2 | 1 | no | — |
| 529 | Dic6 | — | 2 | 1 | no | — |
| 530 | Dic6 | — | 20 | 2 | no | — |
| 531 | C3×C8 | — | 2 | 1 | no | — |
| 532 | C3×C8 | — | 10 | 1 | no | — |
| 533 | C3⋊C8 | — | 2 | 1 | no | — |
| 534 | C3⋊C8 | — | 10 | 1 | no | — |
| 535 | C22×C5 | — | 2 | 2 | no | — |
| 536 | C22×C5 | — | 4 | 1 | no | — |
| 537 | C22×C5 | — | 4 | 1 | no | — |
| 538 | C22×C5 | — | 6 | 1 | no | — |
| 539 | C22×C5 | — | 6 | 1 | no | — |
| 540 | C22×C5 | — | 6 | 1 | no | — |
| 541 | C22×C5 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 542 | C2×D5 | — | 2 | 1 | no | — |
| 543 | C2×D5 | — | 2 | 1 | no | — |
| 544 | C2×D5 | — | 2 | 1 | no | — |
| 545 | C4×C5 | — | 4 | 1 | no | — |
| 546 | C4×C5 | — | 6 | 1 | no | — |
| 547 | C4×C5 | — | 12 | 1 | no | — |
| 548 | C4×C5 | — | 12 | 1 | no | — |
| 549 | C4×C5 | C2×#237 | 1 | 1 | yes | characteristic |
| 550 | C4×C5 | #1004 | 1 | 1 | yes | characteristic |
| 551 | Dic5 | — | 2 | 1 | no | — |
| 552 | Dic5 | — | 3 | 2 | no | — |
| 553 | Dic5 | — | 4 | 1 | no | — |
| 554 | Dic5 | — | 4 | 1 | no | — |
| 555 | Dic5 | — | 6 | 1 | no | — |
| 556 | Dic5 | — | 12 | 1 | no | — |
| 557 | Dic5 | — | 12 | 1 | no | — |
| 558 | #41 | — | 6 | 2 | no | — |
| 559 | #41 | — | 10 | 2 | no | — |
| 560 | #41 | — | 12 | 1 | no | — |
| 561 | #41 | — | 20 | 1 | no | — |
| 562 | C2×Q8 | — | 3 | 1 | no | — |
| 563 | C2×Q8 | — | 5 | 1 | no | — |
| 564 | C2×Q8 | — | 30 | 1 | no | — |
| 565 | C2×Q8 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 566 | C2×D4 | — | 6 | 1 | no | — |
| 567 | C2×D4 | — | 10 | 1 | no | — |
| 568 | C2×D4 | — | 15 | 1 | no | — |
| 569 | C2×D4 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 570 | C22×C4 | — | 3 | 1 | no | — |
| 571 | C22×C4 | — | 5 | 1 | no | — |
| 572 | C22×C4 | — | 6 | 1 | no | — |
| 573 | C22×C4 | — | 10 | 1 | no | — |
| 574 | C22×C4 | — | 30 | 1 | no | — |
| 575 | Q16 | — | 12 | 1 | no | — |
| 576 | Q16 | — | 20 | 1 | no | — |
| 577 | SD16 | — | 2 | 2 | no | — |
| 578 | C2×C8 | — | 3 | 1 | no | — |
| 579 | C2×C8 | — | 5 | 1 | no | — |
| 580 | C2×C8 | — | 15 | 1 | no | — |
| 581 | C2×C8 | — | 60 | 1 | no | — |
| 582 | C2×C8 | — | 60 | 1 | no | — |
| 583 | C2×C8 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 584 | C4⋊C4 | — | 3 | 1 | no | — |
| 585 | C4⋊C4 | — | 5 | 1 | no | — |
| 586 | C4⋊C4 | — | 6 | 1 | no | — |
| 587 | C4⋊C4 | — | 10 | 1 | no | — |
| 588 | C4⋊C4 | — | 15 | 1 | no | — |
| 589 | C4⋊C4 | — | 15 | 1 | no | — |
| 590 | C4⋊C4 | — | 15 | 1 | no | — |
| 591 | C4⋊C4 | — | 30 | 1 | no | — |
| 592 | C4⋊C4 | — | 30 | 1 | no | — |
| 593 | C4⋊C4 | — | 30 | 1 | no | — |
| 594 | C4⋊C4 | — | 30 | 1 | no | — |
| 595 | C4⋊C4 | — | 30 | 1 | no | — |
| 596 | C4⋊C4 | — | 30 | 1 | no | — |
| 597 | C22⋊C4 | — | 6 | 1 | no | — |
| 598 | C22⋊C4 | — | 10 | 1 | no | — |
| 599 | C22⋊C4 | — | 15 | 1 | no | — |
| 600 | C22⋊C4 | — | 15 | 1 | no | — |
| 601 | C22⋊C4 | — | 30 | 1 | no | — |
| 602 | C22⋊C4 | — | 30 | 1 | no | — |
| 603 | C22⋊C4 | — | 30 | 1 | no | — |
| 604 | C22⋊C4 | — | 30 | 1 | no | — |
| 605 | C22⋊C4 | — | 30 | 1 | no | — |
| 606 | C42 | — | 15 | 1 | no | — |
| 607 | C42 | — | 30 | 1 | no | — |
| 608 | C42 | — | 30 | 1 | no | — |
| 609 | C42 | — | 30 | 1 | no | — |
| 610 | C3×C5 | #3302 | 1 | 1 | yes | characteristic, complemented, Hall |
| 611 | C22×C3 | — | 2 | 2 | no | — |
| 612 | C22×C3 | — | 4 | 1 | no | — |
| 613 | C22×C3 | — | 4 | 1 | no | — |
| 614 | C22×C3 | — | 10 | 1 | no | — |
| 615 | C22×C3 | — | 10 | 1 | no | — |
| 616 | C22×C3 | — | 10 | 1 | no | — |
| 617 | C22×C3 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 618 | C2×D3 | — | 2 | 1 | no | — |
| 619 | C2×D3 | — | 2 | 1 | no | — |
| 620 | C2×D3 | — | 2 | 1 | no | — |
| 621 | C3×C4 | — | 4 | 1 | no | — |
| 622 | C3×C4 | — | 10 | 1 | no | — |
| 623 | C3×C4 | — | 20 | 1 | no | — |
| 624 | C3×C4 | — | 20 | 1 | no | — |
| 625 | C3×C4 | C2×#711 | 1 | 1 | yes | characteristic |
| 626 | C3×C4 | #4144 | 1 | 1 | yes | characteristic |
| 627 | Dic3 | — | 2 | 1 | no | — |
| 628 | Dic3 | — | 4 | 1 | no | — |
| 629 | Dic3 | — | 4 | 1 | no | — |
| 630 | Dic3 | — | 5 | 2 | no | — |
| 631 | Dic3 | — | 10 | 1 | no | — |
| 632 | Dic3 | — | 20 | 1 | no | — |
| 633 | Dic3 | — | 20 | 1 | no | — |
| 634 | C2×C5 | — | 4 | 2 | no | — |
| 635 | C2×C5 | — | 12 | 1 | no | — |
| 636 | C2×C5 | #5591 | 1 | 1 | yes | characteristic |
| 637 | C2×C5 | D3×#135 | 1 | 1 | yes | characteristic |
| 638 | C2×C5 | #5779 | 1 | 1 | yes | characteristic |
| 639 | D5 | — | 4 | 1 | no | — |
| 640 | C23 | — | 2 | 1 | no | — |
| 641 | C23 | — | 3 | 1 | no | — |
| 642 | C23 | — | 5 | 1 | no | — |
| 643 | Q8 | — | 2 | 1 | no | — |
| 644 | Q8 | — | 2 | 1 | no | — |
| 645 | Q8 | — | 6 | 1 | no | — |
| 646 | Q8 | — | 6 | 1 | no | — |
| 647 | Q8 | — | 10 | 1 | no | — |
| 648 | Q8 | — | 10 | 1 | no | — |
| 649 | Q8 | — | 60 | 2 | no | — |
| 650 | D4 | — | 2 | 1 | no | — |
| 651 | D4 | — | 12 | 2 | no | — |
| 652 | D4 | — | 20 | 2 | no | — |
| 653 | D4 | — | 30 | 2 | no | — |
| 654 | D4 | #6780 | 1 | 2 | yes | — |
| 655 | C2×C4 | — | 2 | 1 | no | — |
| 656 | C2×C4 | — | 3 | 1 | no | — |
| 657 | C2×C4 | — | 5 | 1 | no | — |
| 658 | C2×C4 | — | 6 | 1 | no | — |
| 659 | C2×C4 | — | 6 | 1 | no | — |
| 660 | C2×C4 | — | 6 | 1 | no | — |
| 661 | C2×C4 | — | 6 | 1 | no | — |
| 662 | C2×C4 | — | 10 | 1 | no | — |
| 663 | C2×C4 | — | 10 | 1 | no | — |
| 664 | C2×C4 | — | 10 | 1 | no | — |
| 665 | C2×C4 | — | 10 | 1 | no | — |
| 666 | C2×C4 | — | 12 | 2 | no | — |
| 667 | C2×C4 | — | 15 | 1 | no | — |
| 668 | C2×C4 | — | 15 | 1 | no | — |
| 669 | C2×C4 | — | 20 | 2 | no | — |
| 670 | C2×C4 | — | 30 | 1 | no | — |
| 671 | C2×C4 | — | 30 | 1 | no | — |
| 672 | C2×C4 | — | 60 | 2 | no | — |
| 673 | C2×C4 | C22×D3×D5 | 1 | 1 | yes | characteristic |
| 674 | C8 | — | 2 | 1 | no | — |
| 675 | C8 | — | 6 | 1 | no | — |
| 676 | C8 | — | 10 | 1 | no | — |
| 677 | C8 | — | 30 | 1 | no | — |
| 678 | C2×C3 | — | 4 | 2 | no | — |
| 679 | C2×C3 | — | 20 | 1 | no | — |
| 680 | C2×C3 | #65925 | 1 | 1 | yes | characteristic |
| 681 | C2×C3 | D5×#135 | 1 | 1 | yes | characteristic |
| 682 | C2×C3 | #66113 | 1 | 1 | yes | characteristic |
| 683 | D3 | — | 4 | 1 | no | — |
| 684 | C5 | #80248 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 685 | C22 | — | 2 | 2 | no | — |
| 686 | C22 | — | 4 | 1 | no | — |
| 687 | C22 | — | 4 | 1 | no | — |
| 688 | C22 | — | 6 | 1 | no | — |
| 689 | C22 | — | 6 | 1 | no | — |
| 690 | C22 | — | 6 | 1 | no | — |
| 691 | C22 | — | 10 | 1 | no | — |
| 692 | C22 | — | 10 | 1 | no | — |
| 693 | C22 | — | 10 | 1 | no | — |
| 694 | C22 | D3×D4×D5 | 1 | 1 | yes | characteristic |
| 695 | C4 | — | 4 | 1 | no | — |
| 696 | C4 | — | 6 | 1 | no | — |
| 697 | C4 | — | 10 | 1 | no | — |
| 698 | C4 | — | 12 | 1 | no | — |
| 699 | C4 | — | 12 | 1 | no | — |
| 700 | C4 | — | 15 | 2 | no | — |
| 701 | C4 | — | 20 | 1 | no | — |
| 702 | C4 | — | 20 | 1 | no | — |
| 703 | C4 | — | 30 | 1 | no | — |
| 704 | C4 | — | 60 | 1 | no | — |
| 705 | C4 | — | 60 | 1 | no | — |
| 706 | C4 | #92025 | 1 | 1 | yes | characteristic |
| 707 | C4 | C2×#6780 | 1 | 1 | yes | characteristic |
| 708 | C3 | #10611979 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 709 | C2 | — | 4 | 2 | no | — |
| 710 | C2 | — | 12 | 1 | no | — |
| 711 | C2 | — | 20 | 1 | no | — |
| 712 | C2 | #11754079 | 1 | 1 | yes | characteristic |
| 713 | C2 | #11754086 | 1 | 1 | yes | characteristic |
| 714 | C2 | #11754925 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta