| 1 | #556×D53 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #500×D53 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #475×D53 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #461×D53 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | #20273974 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #20273973 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #20273972 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #20273971 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #20273970 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #20273969 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #20273968 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #332×D53 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | Q8⋊C8×D53 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | D4⋊C8×D53 | C2 | 1 | 1 | yes | maximal, characteristic |
| 15 | C53×#1650 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×SD16×D53 | — | 2 | 1 | no | — |
| 17 | #16811347 | C22 | 1 | 1 | yes | characteristic |
| 18 | #16811346 | C22 | 1 | 1 | yes | characteristic |
| 19 | #16811345 | — | 2 | 1 | no | — |
| 20 | #16811344 | — | 2 | 1 | no | — |
| 21 | #16811343 | C22 | 1 | 1 | yes | characteristic |
| 22 | #16811342 | — | 2 | 1 | no | — |
| 23 | #16811341 | — | 2 | 1 | no | — |
| 24 | #16811340 | — | 2 | 2 | no | — |
| 25 | C4⋊Q8×D53 | C22 | 1 | 1 | yes | characteristic |
| 26 | C4⋊Q8×D53 | C22 | 1 | 1 | yes | characteristic |
| 27 | #126×D53 | — | 2 | 2 | no | — |
| 28 | #124×D53 | — | 2 | 1 | no | — |
| 29 | C22⋊Q8×D53 | — | 2 | 1 | no | — |
| 30 | C4×Q8×D53 | — | 2 | 1 | no | — |
| 31 | C4×Q8×D53 | C22 | 1 | 1 | yes | characteristic |
| 32 | C4×D4×D53 | C22 | 1 | 1 | yes | characteristic |
| 33 | #117×D53 | — | 2 | 1 | no | — |
| 34 | #16811028 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | #16811027 | — | 2 | 2 | no | — |
| 36 | #16811026 | C22 | 1 | 1 | yes | characteristic, complemented |
| 37 | #16811026 | C22 | 1 | 1 | yes | characteristic, complemented |
| 38 | #16810909 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | #16810908 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | #16810907 | — | 2 | 1 | no | — |
| 41 | #16810906 | — | 2 | 1 | no | — |
| 42 | #16810905 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | #16810829 | C22 | 1 | 1 | yes | characteristic |
| 44 | #16810828 | C22 | 1 | 1 | yes | characteristic |
| 45 | #16810827 | — | 2 | 1 | no | — |
| 46 | #16810826 | — | 2 | 1 | no | — |
| 47 | #16810825 | C22 | 1 | 1 | yes | characteristic |
| 48 | #107×D53 | — | 2 | 2 | no | — |
| 49 | #106×D53 | — | 2 | 1 | no | — |
| 50 | C4⋊C8×D53 | C22 | 1 | 1 | yes | characteristic |
| 51 | C4⋊C8×D53 | C22 | 1 | 1 | yes | characteristic |
| 52 | #103×D53 | — | 2 | 1 | no | — |
| 53 | #103×D53 | — | 2 | 1 | no | — |
| 54 | C4×C8×D53 | C22 | 1 | 1 | yes | characteristic |
| 55 | #16810370 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | #16810369 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | #16810368 | C22 | 1 | 1 | yes | characteristic, complemented |
| 58 | #16810355 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | Q8⋊#88322 | C22 | 1 | 1 | yes | characteristic, complemented |
| 60 | #16810353 | C22 | 1 | 1 | yes | characteristic, complemented |
| 61 | #16810352 | C22 | 1 | 1 | yes | characteristic |
| 62 | D4⋊#88322 | C22 | 1 | 1 | yes | characteristic |
| 63 | #16810350 | C22 | 1 | 1 | yes | characteristic |
| 64 | C53×#556 | C22 | 1 | 1 | yes | characteristic |
| 65 | C53×#500 | C22 | 1 | 1 | yes | characteristic, complemented |
| 66 | C53×#475 | C22 | 1 | 1 | yes | characteristic, complemented |
| 67 | C53×#461 | C22 | 1 | 1 | yes | characteristic |
| 68 | C53×#332 | C22 | 1 | 1 | yes | characteristic, complemented |
| 69 | C53×Q8⋊C8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 70 | C53×D4⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 71 | C2×Q8×D53 | — | 2 | 1 | no | — |
| 72 | C2×Q8×D53 | — | 2 | 1 | no | — |
| 73 | C2×Q8×D53 | D4 | 1 | 1 | yes | characteristic |
| 74 | C2×D4×D53 | D4 | 1 | 1 | yes | characteristic |
| 75 | C22×C4×D53 | — | 2 | 1 | no | — |
| 76 | C2×#11719913 | — | 2 | 1 | no | — |
| 77 | C2×#11719923 | — | 2 | 1 | no | — |
| 78 | C2×#11719924 | — | 2 | 1 | no | — |
| 79 | SD16×D53 | — | 4 | 4 | no | — |
| 80 | C2×C8×D53 | — | 2 | 1 | no | — |
| 81 | C2×C8×D53 | — | 2 | 1 | no | — |
| 82 | C2×C8×D53 | — | 2 | 1 | no | — |
| 83 | #13133217 | C23 | 1 | 1 | yes | characteristic |
| 84 | #13133217 | C23 | 1 | 1 | yes | characteristic |
| 85 | #13133216 | — | 2 | 1 | no | — |
| 86 | #13133216 | — | 2 | 1 | no | — |
| 87 | #13133216 | — | 2 | 1 | no | — |
| 88 | #13133216 | D4 | 1 | 2 | yes | — |
| 89 | #13133215 | — | 2 | 1 | no | — |
| 90 | #13133215 | — | 2 | 1 | no | — |
| 91 | #13133212 | — | 2 | 2 | no | — |
| 92 | #13133212 | — | 2 | 2 | no | — |
| 93 | #13133212 | — | 2 | 2 | no | — |
| 94 | #13133211 | — | 2 | 2 | no | — |
| 95 | #13133210 | — | 2 | 2 | no | — |
| 96 | #13133210 | — | 2 | 2 | no | — |
| 97 | #13133210 | — | 2 | 2 | no | — |
| 98 | #13133206 | — | 2 | 1 | no | — |
| 99 | #13133205 | — | 2 | 1 | no | — |
| 100 | #13133204 | — | 2 | 1 | no | — |
| 101 | #13133203 | — | 2 | 2 | no | — |
| 102 | #13133203 | — | 2 | 2 | no | — |
| 103 | #13133197 | — | 2 | 1 | no | — |
| 104 | #13133196 | — | 2 | 1 | no | — |
| 105 | #13133195 | — | 2 | 2 | no | — |
| 106 | #13133194 | — | 2 | 2 | no | — |
| 107 | #13133193 | — | 2 | 1 | no | — |
| 108 | Q8×Dic53 | — | 2 | 1 | no | — |
| 109 | Q8×Dic53 | D4 | 1 | 1 | yes | characteristic |
| 110 | C4×Dic106 | — | 2 | 2 | no | — |
| 111 | C4×Dic106 | — | 2 | 1 | no | — |
| 112 | C4×Dic106 | — | 2 | 1 | no | — |
| 113 | C4×Dic106 | C23 | 1 | 1 | yes | characteristic |
| 114 | #13133182 | — | 2 | 2 | no | — |
| 115 | #13133182 | — | 2 | 1 | no | — |
| 116 | #13133182 | — | 2 | 1 | no | — |
| 117 | #13133182 | D4 | 1 | 1 | yes | characteristic |
| 118 | C4×D212 | C23 | 1 | 1 | yes | characteristic |
| 119 | D4×Dic53 | D4 | 1 | 1 | yes | characteristic |
| 120 | #13133179 | D4 | 1 | 1 | yes | characteristic |
| 121 | C4×C22⋊D53 | — | 2 | 1 | no | — |
| 122 | #13133177 | — | 2 | 1 | no | — |
| 123 | #13133176 | — | 2 | 1 | no | — |
| 124 | #13133175 | — | 2 | 1 | no | — |
| 125 | #13133175 | — | 2 | 1 | no | — |
| 126 | #13133174 | — | 2 | 2 | no | — |
| 127 | #13133173 | — | 2 | 2 | no | — |
| 128 | C4⋊C4×D53 | — | 2 | 2 | no | — |
| 129 | C4⋊C4×D53 | — | 2 | 1 | no | — |
| 130 | C4⋊C4×D53 | — | 2 | 1 | no | — |
| 131 | C4⋊C4×D53 | — | 2 | 1 | no | — |
| 132 | C4⋊C4×D53 | — | 2 | 1 | no | — |
| 133 | C4⋊C4×D53 | D4 | 1 | 1 | yes | characteristic |
| 134 | C4⋊C4×D53 | D4 | 1 | 1 | yes | characteristic |
| 135 | C4⋊C4×D53 | D4 | 1 | 2 | yes | — |
| 136 | C22⋊C4×D53 | — | 2 | 2 | no | — |
| 137 | C22⋊C4×D53 | — | 2 | 2 | no | — |
| 138 | C22⋊C4×D53 | — | 2 | 1 | no | — |
| 139 | C42×D53 | — | 2 | 2 | no | — |
| 140 | C42×D53 | — | 2 | 1 | no | — |
| 141 | C42×D53 | C23 | 1 | 1 | yes | characteristic |
| 142 | #13133151 | — | 2 | 2 | no | — |
| 143 | #13133150 | — | 2 | 2 | no | — |
| 144 | #13133150 | — | 2 | 2 | no | — |
| 145 | #13133149 | — | 2 | 1 | no | — |
| 146 | #13133148 | — | 2 | 1 | no | — |
| 147 | #13133148 | — | 2 | 1 | no | — |
| 148 | C4⋊#88322 | C23 | 1 | 1 | yes | characteristic |
| 149 | C4⋊#88322 | C23 | 1 | 1 | yes | characteristic |
| 150 | #13133146 | — | 2 | 1 | no | — |
| 151 | #13133146 | — | 2 | 1 | no | — |
| 152 | #13133142 | — | 2 | 1 | no | — |
| 153 | #13133142 | — | 2 | 1 | no | — |
| 154 | #13133141 | — | 2 | 1 | no | — |
| 155 | #13133141 | — | 2 | 1 | no | — |
| 156 | #13133140 | — | 2 | 1 | no | — |
| 157 | #13133140 | — | 2 | 1 | no | — |
| 158 | C4×#88322 | C23 | 1 | 1 | yes | characteristic |
| 159 | C8×Dic53 | — | 2 | 1 | no | — |
| 160 | C2×SD16×C53 | — | 2 | 1 | no | — |
| 161 | C4⋊Q8×C53 | C23 | 1 | 1 | yes | characteristic |
| 162 | C4⋊Q8×C53 | C23 | 1 | 1 | yes | characteristic |
| 163 | #126×C53 | — | 2 | 2 | no | — |
| 164 | #124×C53 | — | 2 | 1 | no | — |
| 165 | C22⋊Q8×C53 | — | 2 | 1 | no | — |
| 166 | C4×Q8×C53 | — | 2 | 1 | no | — |
| 167 | C4×Q8×C53 | C23 | 1 | 1 | yes | characteristic |
| 168 | C4×D4×C53 | C23 | 1 | 1 | yes | characteristic |
| 169 | #117×C53 | — | 2 | 1 | no | — |
| 170 | #107×C53 | — | 2 | 2 | no | — |
| 171 | #106×C53 | — | 2 | 1 | no | — |
| 172 | C4⋊C8×C53 | C23 | 1 | 1 | yes | characteristic |
| 173 | C4⋊C8×C53 | C23 | 1 | 1 | yes | characteristic |
| 174 | #103×C53 | — | 2 | 1 | no | — |
| 175 | #103×C53 | — | 2 | 1 | no | — |
| 176 | C4×C8×C53 | C23 | 1 | 1 | yes | characteristic |
| 177 | C23×D53 | — | 2 | 1 | no | — |
| 178 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 179 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 180 | C2×Q8×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 181 | C2×D4×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 182 | C22×C4×C53 | — | 2 | 1 | no | — |
| 183 | C2×C22⋊D53 | — | 2 | 1 | no | — |
| 184 | C22×Dic53 | — | 2 | 1 | no | — |
| 185 | Q8×D53 | — | 2 | 2 | no | — |
| 186 | Q8×D53 | — | 2 | 2 | no | — |
| 187 | Q8×D53 | — | 4 | 2 | no | — |
| 188 | Q8×D53 | — | 4 | 2 | no | — |
| 189 | Q8×D53 | — | 4 | 2 | no | — |
| 190 | Q8×D53 | — | 4 | 2 | no | — |
| 191 | D4×D53 | — | 2 | 2 | no | — |
| 192 | D4×D53 | — | 2 | 2 | no | — |
| 193 | C2×D212 | C2×D4 | 1 | 1 | yes | characteristic |
| 194 | C2×C4×D53 | — | 2 | 1 | no | — |
| 195 | C2×C4×D53 | — | 2 | 1 | no | — |
| 196 | C2×C4×D53 | — | 2 | 1 | no | — |
| 197 | C2×C4×D53 | — | 2 | 2 | no | — |
| 198 | C2×C4×D53 | — | 2 | 1 | no | — |
| 199 | C2×C4×D53 | — | 2 | 1 | no | — |
| 200 | C2×C4×D53 | — | 4 | 2 | no | — |
| 201 | C2×C4×D53 | — | 4 | 2 | no | — |
| 202 | C2×C4×D53 | — | 4 | 1 | no | — |
| 203 | C2×C4×D53 | C2×D4 | 1 | 1 | yes | characteristic |
| 204 | C2×C4×D53 | C2×D4 | 1 | 1 | yes | characteristic |
| 205 | C2×C4×D53 | C2×D4 | 1 | 1 | yes | characteristic |
| 206 | C2×Dic106 | — | 2 | 1 | no | — |
| 207 | C2×Dic106 | — | 2 | 1 | no | — |
| 208 | C2×Dic106 | — | 2 | 2 | no | — |
| 209 | C2×Dic106 | — | 2 | 1 | no | — |
| 210 | C2×Dic106 | — | 4 | 1 | no | — |
| 211 | C2×Dic106 | C2×D4 | 1 | 1 | yes | characteristic |
| 212 | SD16×C53 | — | 4 | 2 | no | — |
| 213 | C2×C8×C53 | — | 2 | 1 | no | — |
| 214 | C2×C8×C53 | — | 2 | 1 | no | — |
| 215 | C2×C8×C53 | — | 2 | 1 | no | — |
| 216 | C4⋊C4×C53 | — | 2 | 2 | no | — |
| 217 | C4⋊C4×C53 | — | 2 | 1 | no | — |
| 218 | C4⋊C4×C53 | — | 2 | 1 | no | — |
| 219 | C4⋊C4×C53 | — | 2 | 1 | no | — |
| 220 | C4⋊C4×C53 | — | 2 | 1 | no | — |
| 221 | C4⋊C4×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 222 | C4⋊C4×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 223 | C4⋊C4×C53 | C2×D4 | 1 | 2 | yes | — |
| 224 | C22⋊C4×C53 | — | 2 | 2 | no | — |
| 225 | C22⋊C4×C53 | — | 2 | 2 | no | — |
| 226 | C22⋊C4×C53 | — | 2 | 1 | no | — |
| 227 | C42×C53 | — | 2 | 2 | no | — |
| 228 | C42×C53 | — | 2 | 1 | no | — |
| 229 | C42×C53 | C24 | 1 | 1 | yes | characteristic |
| 230 | C22⋊Dic53 | — | 2 | 2 | no | — |
| 231 | C22⋊Dic53 | — | 2 | 2 | no | — |
| 232 | C22⋊Dic53 | — | 2 | 1 | no | — |
| 233 | #11719924 | — | 4 | 2 | no | — |
| 234 | #11719923 | — | 4 | 2 | no | — |
| 235 | #11719921 | — | 2 | 2 | no | — |
| 236 | #11719921 | — | 2 | 2 | no | — |
| 237 | #11719921 | — | 2 | 2 | no | — |
| 238 | #11719921 | — | 2 | 2 | no | — |
| 239 | #11719921 | — | 2 | 1 | no | — |
| 240 | #11719921 | — | 2 | 1 | no | — |
| 241 | C4⋊Dic53 | — | 2 | 2 | no | — |
| 242 | C4⋊Dic53 | — | 2 | 1 | no | — |
| 243 | C4⋊Dic53 | — | 2 | 1 | no | — |
| 244 | C4⋊Dic53 | — | 2 | 1 | no | — |
| 245 | C4⋊Dic53 | — | 2 | 1 | no | — |
| 246 | C4⋊Dic53 | C2×D4 | 1 | 1 | yes | characteristic |
| 247 | C4⋊Dic53 | C2×D4 | 1 | 1 | yes | characteristic |
| 248 | C4⋊Dic53 | C2×D4 | 1 | 2 | yes | — |
| 249 | #11719919 | — | 2 | 2 | no | — |
| 250 | #11719919 | — | 2 | 2 | no | — |
| 251 | #11719919 | — | 2 | 1 | no | — |
| 252 | #11719919 | — | 2 | 2 | no | — |
| 253 | #11719919 | — | 2 | 1 | no | — |
| 254 | #11719919 | — | 2 | 1 | no | — |
| 255 | #11719919 | — | 2 | 1 | no | — |
| 256 | #11719919 | — | 2 | 2 | no | — |
| 257 | #11719919 | — | 4 | 1 | no | — |
| 258 | #11719919 | — | 4 | 1 | no | — |
| 259 | C4×Dic53 | — | 2 | 2 | no | — |
| 260 | C4×Dic53 | — | 2 | 2 | no | — |
| 261 | C4×Dic53 | — | 2 | 2 | no | — |
| 262 | C4×Dic53 | — | 2 | 1 | no | — |
| 263 | C4×Dic53 | — | 2 | 1 | no | — |
| 264 | C4×Dic53 | — | 2 | 1 | no | — |
| 265 | C4×Dic53 | C2×D4 | 1 | 1 | yes | characteristic |
| 266 | C4×Dic53 | C2×D4 | 1 | 1 | yes | characteristic |
| 267 | C4×Dic53 | C2×D4 | 1 | 1 | yes | characteristic |
| 268 | C2×#88322 | — | 2 | 1 | no | — |
| 269 | C2×#88322 | — | 2 | 1 | no | — |
| 270 | C2×#88322 | — | 2 | 1 | no | — |
| 271 | #11719913 | — | 4 | 2 | no | — |
| 272 | C8×D53 | — | 2 | 4 | no | — |
| 273 | C8×D53 | — | 4 | 2 | no | — |
| 274 | C8×D53 | — | 4 | 2 | no | — |
| 275 | C23×C53 | — | 2 | 1 | no | — |
| 276 | C22×D53 | — | 2 | 1 | no | — |
| 277 | C22×D53 | — | 4 | 2 | no | — |
| 278 | C22×D53 | — | 4 | 2 | no | — |
| 279 | C22×D53 | — | 4 | 2 | no | — |
| 280 | C22×D53 | #120 | 1 | 1 | yes | characteristic |
| 281 | Q8×C53 | — | 2 | 1 | no | — |
| 282 | Q8×C53 | — | 2 | 1 | no | — |
| 283 | Q8×C53 | — | 4 | 1 | no | — |
| 284 | Q8×C53 | — | 4 | 1 | no | — |
| 285 | Q8×C53 | — | 4 | 1 | no | — |
| 286 | Q8×C53 | — | 4 | 1 | no | — |
| 287 | D4×C53 | — | 2 | 1 | no | — |
| 288 | D4×C53 | — | 2 | 1 | no | — |
| 289 | C2×C4×C53 | — | 2 | 2 | no | — |
| 290 | C2×C4×C53 | — | 2 | 1 | no | — |
| 291 | C2×C4×C53 | — | 2 | 1 | no | — |
| 292 | C2×C4×C53 | — | 2 | 1 | no | — |
| 293 | C2×C4×C53 | — | 4 | 1 | no | — |
| 294 | C2×C4×C53 | — | 4 | 1 | no | — |
| 295 | C2×C4×C53 | — | 4 | 1 | no | — |
| 296 | C2×C4×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 297 | C2×C4×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 298 | C2×C4×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 299 | C22⋊D53 | — | 4 | 2 | no | — |
| 300 | C2×Dic53 | — | 2 | 2 | no | — |
| 301 | C2×Dic53 | — | 2 | 1 | no | — |
| 302 | C2×Dic53 | — | 2 | 1 | no | — |
| 303 | C2×Dic53 | — | 2 | 1 | no | — |
| 304 | C2×Dic53 | — | 4 | 2 | no | — |
| 305 | C2×Dic53 | — | 4 | 1 | no | — |
| 306 | C2×Dic53 | #120 | 1 | 1 | yes | characteristic |
| 307 | C2×Dic53 | #120 | 1 | 1 | yes | characteristic |
| 308 | C2×Dic53 | #120 | 1 | 1 | yes | characteristic |
| 309 | D212 | — | 2 | 1 | no | — |
| 310 | D212 | — | 2 | 1 | no | — |
| 311 | C4×D53 | — | 2 | 2 | no | — |
| 312 | C4×D53 | — | 4 | 4 | no | — |
| 313 | C4×D53 | — | 4 | 2 | no | — |
| 314 | C4×D53 | — | 4 | 2 | no | — |
| 315 | C4×D53 | — | 4 | 2 | no | — |
| 316 | C4×D53 | — | 4 | 1 | no | — |
| 317 | C4×D53 | — | 4 | 1 | no | — |
| 318 | C4×D53 | — | 4 | 2 | no | — |
| 319 | C4×D53 | — | 8 | 2 | no | — |
| 320 | C4×D53 | #135 | 1 | 2 | yes | — |
| 321 | C4×D53 | #135 | 1 | 2 | yes | — |
| 322 | C4×D53 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 323 | C4×D53 | #137 | 1 | 2 | yes | — |
| 324 | Dic106 | — | 2 | 1 | no | — |
| 325 | Dic106 | — | 2 | 1 | no | — |
| 326 | Dic106 | — | 4 | 1 | no | — |
| 327 | Dic106 | — | 4 | 1 | no | — |
| 328 | Dic106 | — | 4 | 4 | no | — |
| 329 | Dic106 | — | 4 | 2 | no | — |
| 330 | Dic106 | — | 4 | 1 | no | — |
| 331 | Dic106 | — | 4 | 1 | no | — |
| 332 | Dic106 | — | 8 | 2 | no | — |
| 333 | C8×C53 | — | 2 | 2 | no | — |
| 334 | C8×C53 | — | 4 | 1 | no | — |
| 335 | C8×C53 | — | 4 | 1 | no | — |
| 336 | #88322 | — | 2 | 2 | no | — |
| 337 | #88322 | — | 4 | 1 | no | — |
| 338 | #88322 | — | 4 | 1 | no | — |
| 339 | C2×#1650 | — | 53 | 1 | no | maximal, Sylow |
| 340 | C22×C53 | — | 4 | 1 | no | — |
| 341 | C22×C53 | — | 4 | 1 | no | — |
| 342 | C22×C53 | — | 4 | 1 | no | — |
| 343 | C22×C53 | C2×#120 | 1 | 1 | yes | characteristic |
| 344 | C2×D53 | — | 4 | 1 | no | — |
| 345 | C2×D53 | — | 4 | 1 | no | — |
| 346 | C2×D53 | — | 4 | 1 | no | — |
| 347 | C2×D53 | — | 8 | 4 | no | — |
| 348 | C2×D53 | #449 | 1 | 2 | yes | — |
| 349 | C2×D53 | #452 | 1 | 2 | yes | — |
| 350 | C2×D53 | #456 | 1 | 2 | yes | — |
| 351 | C4×C53 | — | 2 | 1 | no | — |
| 352 | C4×C53 | — | 4 | 2 | no | — |
| 353 | C4×C53 | — | 4 | 1 | no | — |
| 354 | C4×C53 | — | 4 | 1 | no | — |
| 355 | C4×C53 | — | 4 | 1 | no | — |
| 356 | C4×C53 | — | 8 | 1 | no | — |
| 357 | C4×C53 | C2×#135 | 1 | 1 | yes | characteristic |
| 358 | C4×C53 | C2×#135 | 1 | 1 | yes | characteristic |
| 359 | C4×C53 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 360 | C4×C53 | C2×#137 | 1 | 1 | yes | characteristic |
| 361 | Dic53 | — | 2 | 1 | no | — |
| 362 | Dic53 | — | 4 | 2 | no | — |
| 363 | Dic53 | — | 4 | 1 | no | — |
| 364 | Dic53 | — | 4 | 1 | no | — |
| 365 | Dic53 | — | 4 | 1 | no | — |
| 366 | Dic53 | — | 8 | 1 | no | — |
| 367 | Dic53 | #449 | 1 | 2 | yes | — |
| 368 | Dic53 | #452 | 1 | 2 | yes | — |
| 369 | C2×#556 | — | 53 | 1 | no | — |
| 370 | C2×#500 | — | 53 | 1 | no | — |
| 371 | C2×#475 | — | 53 | 1 | no | — |
| 372 | C2×#461 | — | 53 | 1 | no | — |
| 373 | #1650 | — | 53 | 1 | no | — |
| 374 | #1650 | — | 53 | 1 | no | — |
| 375 | #1650 | — | 53 | 1 | no | — |
| 376 | #1650 | — | 53 | 1 | no | — |
| 377 | #1650 | — | 53 | 1 | no | — |
| 378 | #1650 | — | 53 | 1 | no | — |
| 379 | #1650 | — | 53 | 1 | no | — |
| 380 | #1650 | D53 | 1 | 1 | yes | characteristic, direct product factor |
| 381 | C2×#332 | — | 53 | 1 | no | — |
| 382 | C2×Q8⋊C8 | — | 53 | 1 | no | — |
| 383 | C2×D4⋊C8 | — | 53 | 1 | no | — |
| 384 | C2×C53 | — | 8 | 1 | no | — |
| 385 | C2×C53 | C2×#449 | 1 | 1 | yes | characteristic |
| 386 | C2×C53 | C2×#452 | 1 | 1 | yes | characteristic |
| 387 | C2×C53 | C2×#456 | 1 | 1 | yes | characteristic |
| 388 | D53 | — | 8 | 1 | no | — |
| 389 | D53 | #1650 | 1 | 4 | yes | direct product factor |
| 390 | C22×SD16 | — | 106 | 1 | no | — |
| 391 | #556 | — | 53 | 1 | no | — |
| 392 | #556 | — | 53 | 1 | no | — |
| 393 | #556 | — | 53 | 1 | no | — |
| 394 | #556 | — | 106 | 1 | no | — |
| 395 | #556 | — | 106 | 1 | no | — |
| 396 | #556 | — | 106 | 1 | no | — |
| 397 | #556 | — | 106 | 1 | no | — |
| 398 | #556 | — | 106 | 2 | no | — |
| 399 | #556 | C2×D53 | 1 | 1 | yes | characteristic |
| 400 | C2×C4⋊Q8 | — | 53 | 1 | no | — |
| 401 | C2×C4⋊Q8 | — | 53 | 1 | no | — |
| 402 | C2×#126 | — | 106 | 2 | no | — |
| 403 | C2×#124 | — | 106 | 1 | no | — |
| 404 | C2×C22⋊Q8 | — | 106 | 1 | no | — |
| 405 | C2×C4×Q8 | — | 53 | 1 | no | — |
| 406 | C2×C4×Q8 | — | 106 | 1 | no | — |
| 407 | C2×C4×D4 | — | 53 | 1 | no | — |
| 408 | C2×#117 | — | 106 | 1 | no | — |
| 409 | #500 | — | 53 | 1 | no | — |
| 410 | #500 | — | 53 | 1 | no | — |
| 411 | #500 | — | 53 | 1 | no | — |
| 412 | #500 | — | 106 | 2 | no | — |
| 413 | #500 | C2×D53 | 1 | 1 | yes | characteristic, complemented |
| 414 | #475 | — | 53 | 1 | no | — |
| 415 | #475 | — | 53 | 1 | no | — |
| 416 | #475 | — | 53 | 1 | no | — |
| 417 | #475 | — | 106 | 1 | no | — |
| 418 | #475 | — | 106 | 1 | no | — |
| 419 | #475 | C2×D53 | 1 | 1 | yes | characteristic, complemented |
| 420 | #461 | — | 53 | 1 | no | — |
| 421 | #461 | — | 53 | 1 | no | — |
| 422 | #461 | — | 53 | 1 | no | — |
| 423 | #461 | — | 106 | 1 | no | — |
| 424 | #461 | — | 106 | 1 | no | — |
| 425 | #461 | C2×D53 | 1 | 1 | yes | characteristic |
| 426 | C2×#107 | — | 106 | 2 | no | — |
| 427 | C2×#106 | — | 106 | 1 | no | — |
| 428 | C2×C4⋊C8 | — | 53 | 1 | no | — |
| 429 | C2×C4⋊C8 | — | 53 | 1 | no | — |
| 430 | C2×#103 | — | 106 | 1 | no | — |
| 431 | C2×#103 | — | 106 | 1 | no | — |
| 432 | C2×C4×C8 | — | 53 | 1 | no | — |
| 433 | #332 | — | 53 | 1 | no | — |
| 434 | #332 | — | 53 | 1 | no | — |
| 435 | #332 | — | 53 | 1 | no | — |
| 436 | #332 | C2×D53 | 1 | 1 | yes | characteristic, complemented |
| 437 | Q8⋊C8 | — | 53 | 1 | no | — |
| 438 | Q8⋊C8 | — | 53 | 1 | no | — |
| 439 | Q8⋊C8 | — | 53 | 1 | no | — |
| 440 | Q8⋊C8 | C2×D53 | 1 | 1 | yes | characteristic, complemented |
| 441 | D4⋊C8 | — | 53 | 1 | no | — |
| 442 | D4⋊C8 | — | 53 | 1 | no | — |
| 443 | D4⋊C8 | — | 53 | 1 | no | — |
| 444 | D4⋊C8 | C2×D53 | 1 | 1 | yes | characteristic |
| 445 | C53 | C2×#1650 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 446 | C22×Q8 | — | 53 | 1 | no | — |
| 447 | C22×Q8 | — | 106 | 1 | no | — |
| 448 | C22×Q8 | — | 106 | 1 | no | — |
| 449 | C22×D4 | — | 53 | 1 | no | — |
| 450 | C23×C4 | — | 106 | 1 | no | — |
| 451 | C2×SD16 | — | 2 | 1 | no | — |
| 452 | C2×SD16 | — | 106 | 1 | no | — |
| 453 | C2×SD16 | — | 106 | 1 | no | — |
| 454 | C2×SD16 | — | 106 | 1 | no | — |
| 455 | C2×SD16 | — | 212 | 4 | no | — |
| 456 | C22×C8 | — | 106 | 1 | no | — |
| 457 | C22×C8 | — | 106 | 1 | no | — |
| 458 | C22×C8 | — | 106 | 1 | no | — |
| 459 | C4⋊Q8 | — | 53 | 2 | no | — |
| 460 | C4⋊Q8 | — | 53 | 1 | no | — |
| 461 | C4⋊Q8 | — | 53 | 1 | no | — |
| 462 | C4⋊Q8 | — | 106 | 1 | no | — |
| 463 | C4⋊Q8 | — | 106 | 1 | no | — |
| 464 | C4⋊Q8 | — | 106 | 1 | no | — |
| 465 | C4⋊Q8 | — | 106 | 1 | no | — |
| 466 | C4⋊Q8 | — | 106 | 1 | no | — |
| 467 | C4⋊Q8 | C22×D53 | 1 | 1 | yes | characteristic |
| 468 | C4⋊Q8 | C22×D53 | 1 | 1 | yes | characteristic |
| 469 | #126 | — | 2 | 2 | no | — |
| 470 | #126 | — | 106 | 2 | no | — |
| 471 | #126 | — | 106 | 2 | no | — |
| 472 | #126 | — | 106 | 2 | no | — |
| 473 | #126 | — | 106 | 2 | no | — |
| 474 | #126 | — | 106 | 2 | no | — |
| 475 | #126 | — | 106 | 2 | no | — |
| 476 | #126 | — | 106 | 2 | no | — |
| 477 | #124 | — | 2 | 1 | no | — |
| 478 | #124 | — | 106 | 1 | no | — |
| 479 | #124 | — | 106 | 2 | no | — |
| 480 | #124 | — | 106 | 2 | no | — |
| 481 | #124 | — | 106 | 1 | no | — |
| 482 | #124 | — | 106 | 1 | no | — |
| 483 | C22⋊Q8 | — | 2 | 1 | no | — |
| 484 | C22⋊Q8 | — | 106 | 2 | no | — |
| 485 | C22⋊Q8 | — | 106 | 1 | no | — |
| 486 | C22⋊Q8 | — | 106 | 2 | no | — |
| 487 | C22⋊Q8 | — | 106 | 1 | no | — |
| 488 | C22⋊Q8 | — | 106 | 1 | no | — |
| 489 | C4×Q8 | — | 2 | 1 | no | — |
| 490 | C4×Q8 | — | 53 | 1 | no | — |
| 491 | C4×Q8 | — | 53 | 1 | no | — |
| 492 | C4×Q8 | — | 53 | 1 | no | — |
| 493 | C4×Q8 | — | 106 | 1 | no | — |
| 494 | C4×Q8 | — | 106 | 1 | no | — |
| 495 | C4×Q8 | — | 106 | 2 | no | — |
| 496 | C4×Q8 | — | 106 | 1 | no | — |
| 497 | C4×Q8 | — | 106 | 2 | no | — |
| 498 | C4×Q8 | — | 106 | 1 | no | — |
| 499 | C4×Q8 | — | 106 | 1 | no | — |
| 500 | C4×Q8 | C22×D53 | 1 | 1 | yes | characteristic |
| 501 | C4×D4 | — | 53 | 1 | no | — |
| 502 | C4×D4 | — | 53 | 1 | no | — |
| 503 | C4×D4 | — | 53 | 1 | no | — |
| 504 | C4×D4 | — | 106 | 1 | no | — |
| 505 | C4×D4 | — | 106 | 1 | no | — |
| 506 | C4×D4 | C22×D53 | 1 | 1 | yes | characteristic |
| 507 | #117 | — | 2 | 1 | no | — |
| 508 | #117 | — | 106 | 2 | no | — |
| 509 | #117 | — | 106 | 2 | no | — |
| 510 | #117 | — | 106 | 1 | no | — |
| 511 | #117 | — | 106 | 1 | no | — |
| 512 | #117 | — | 106 | 1 | no | — |
| 513 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 514 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 515 | C2×C4⋊C4 | — | 53 | 2 | no | — |
| 516 | C2×C4⋊C4 | — | 106 | 1 | no | — |
| 517 | C2×C4⋊C4 | — | 106 | 1 | no | — |
| 518 | C2×C4⋊C4 | — | 106 | 2 | no | — |
| 519 | C2×C4⋊C4 | — | 106 | 1 | no | — |
| 520 | C2×C4⋊C4 | — | 106 | 1 | no | — |
| 521 | C2×C22⋊C4 | — | 106 | 1 | no | — |
| 522 | C2×C22⋊C4 | — | 106 | 2 | no | — |
| 523 | C2×C22⋊C4 | — | 106 | 2 | no | — |
| 524 | C2×C42 | — | 53 | 1 | no | — |
| 525 | C2×C42 | — | 106 | 1 | no | — |
| 526 | C2×C42 | — | 106 | 2 | no | — |
| 527 | #107 | — | 2 | 2 | no | — |
| 528 | #107 | — | 106 | 2 | no | — |
| 529 | #107 | — | 106 | 2 | no | — |
| 530 | #107 | — | 106 | 2 | no | — |
| 531 | #106 | — | 2 | 1 | no | — |
| 532 | #106 | — | 106 | 1 | no | — |
| 533 | #106 | — | 106 | 1 | no | — |
| 534 | #106 | — | 106 | 1 | no | — |
| 535 | C4⋊C8 | — | 53 | 1 | no | — |
| 536 | C4⋊C8 | — | 53 | 1 | no | — |
| 537 | C4⋊C8 | — | 106 | 1 | no | — |
| 538 | C4⋊C8 | — | 106 | 1 | no | — |
| 539 | C4⋊C8 | C22×D53 | 1 | 1 | yes | characteristic |
| 540 | C4⋊C8 | C22×D53 | 1 | 1 | yes | characteristic |
| 541 | #103 | — | 2 | 1 | no | — |
| 542 | #103 | — | 2 | 1 | no | — |
| 543 | #103 | — | 106 | 1 | no | — |
| 544 | #103 | — | 106 | 1 | no | — |
| 545 | #103 | — | 106 | 1 | no | — |
| 546 | #103 | — | 106 | 1 | no | — |
| 547 | #103 | — | 106 | 1 | no | — |
| 548 | #103 | — | 106 | 1 | no | — |
| 549 | C4×C8 | — | 53 | 1 | no | — |
| 550 | C4×C8 | — | 106 | 1 | no | — |
| 551 | C4×C8 | C22×D53 | 1 | 1 | yes | characteristic |
| 552 | C24 | — | 106 | 1 | no | — |
| 553 | C2×Q8 | — | 2 | 1 | no | — |
| 554 | C2×Q8 | — | 2 | 1 | no | — |
| 555 | C2×Q8 | — | 53 | 1 | no | — |
| 556 | C2×Q8 | — | 106 | 1 | no | — |
| 557 | C2×Q8 | — | 106 | 2 | no | — |
| 558 | C2×Q8 | — | 106 | 2 | no | — |
| 559 | C2×Q8 | — | 106 | 2 | no | — |
| 560 | C2×Q8 | — | 106 | 1 | no | — |
| 561 | C2×Q8 | — | 106 | 1 | no | — |
| 562 | C2×Q8 | — | 212 | 1 | no | — |
| 563 | C2×Q8 | — | 212 | 2 | no | — |
| 564 | C2×Q8 | — | 212 | 2 | no | — |
| 565 | C2×Q8 | — | 212 | 2 | no | — |
| 566 | C2×Q8 | — | 212 | 2 | no | — |
| 567 | C2×Q8 | D4×D53 | 1 | 1 | yes | characteristic |
| 568 | C2×D4 | — | 53 | 1 | no | — |
| 569 | C2×D4 | — | 106 | 2 | no | — |
| 570 | C2×D4 | — | 106 | 2 | no | — |
| 571 | C2×D4 | — | 106 | 1 | no | — |
| 572 | C2×D4 | D4×D53 | 1 | 1 | yes | characteristic |
| 573 | C22×C4 | — | 2 | 1 | no | — |
| 574 | C22×C4 | — | 53 | 1 | no | — |
| 575 | C22×C4 | — | 53 | 1 | no | — |
| 576 | C22×C4 | — | 53 | 1 | no | — |
| 577 | C22×C4 | — | 106 | 1 | no | — |
| 578 | C22×C4 | — | 106 | 1 | no | — |
| 579 | C22×C4 | — | 106 | 1 | no | — |
| 580 | C22×C4 | — | 106 | 2 | no | — |
| 581 | C22×C4 | — | 106 | 1 | no | — |
| 582 | C22×C4 | — | 106 | 1 | no | — |
| 583 | C22×C4 | — | 106 | 1 | no | — |
| 584 | C22×C4 | — | 212 | 2 | no | — |
| 585 | C22×C4 | — | 212 | 2 | no | — |
| 586 | C22×C4 | — | 212 | 1 | no | — |
| 587 | SD16 | — | 4 | 2 | no | — |
| 588 | SD16 | — | 212 | 2 | no | — |
| 589 | SD16 | — | 212 | 2 | no | — |
| 590 | SD16 | — | 212 | 2 | no | — |
| 591 | C2×C8 | — | 2 | 1 | no | — |
| 592 | C2×C8 | — | 2 | 1 | no | — |
| 593 | C2×C8 | — | 2 | 1 | no | — |
| 594 | C2×C8 | — | 106 | 4 | no | — |
| 595 | C2×C8 | — | 106 | 1 | no | — |
| 596 | C2×C8 | — | 106 | 1 | no | — |
| 597 | C2×C8 | — | 106 | 1 | no | — |
| 598 | C2×C8 | — | 212 | 2 | no | — |
| 599 | C2×C8 | — | 212 | 2 | no | — |
| 600 | C4⋊C4 | — | 2 | 2 | no | — |
| 601 | C4⋊C4 | — | 2 | 1 | no | — |
| 602 | C4⋊C4 | — | 2 | 1 | no | — |
| 603 | C4⋊C4 | — | 2 | 1 | no | — |
| 604 | C4⋊C4 | — | 2 | 1 | no | — |
| 605 | C4⋊C4 | — | 53 | 1 | no | — |
| 606 | C4⋊C4 | — | 53 | 1 | no | — |
| 607 | C4⋊C4 | — | 53 | 2 | no | — |
| 608 | C4⋊C4 | — | 106 | 1 | no | — |
| 609 | C4⋊C4 | — | 106 | 1 | no | — |
| 610 | C4⋊C4 | — | 106 | 2 | no | — |
| 611 | C4⋊C4 | — | 106 | 2 | no | — |
| 612 | C4⋊C4 | — | 106 | 1 | no | — |
| 613 | C4⋊C4 | — | 106 | 1 | no | — |
| 614 | C4⋊C4 | — | 106 | 2 | no | — |
| 615 | C4⋊C4 | — | 106 | 2 | no | — |
| 616 | C4⋊C4 | — | 106 | 2 | no | — |
| 617 | C4⋊C4 | — | 106 | 1 | no | — |
| 618 | C4⋊C4 | — | 106 | 1 | no | — |
| 619 | C4⋊C4 | — | 106 | 1 | no | — |
| 620 | C4⋊C4 | — | 106 | 1 | no | — |
| 621 | C4⋊C4 | — | 212 | 1 | no | — |
| 622 | C4⋊C4 | — | 212 | 1 | no | — |
| 623 | C4⋊C4 | D4×D53 | 1 | 1 | yes | characteristic |
| 624 | C4⋊C4 | D4×D53 | 1 | 1 | yes | characteristic |
| 625 | C4⋊C4 | D4×D53 | 1 | 2 | yes | — |
| 626 | C22⋊C4 | — | 2 | 2 | no | — |
| 627 | C22⋊C4 | — | 2 | 2 | no | — |
| 628 | C22⋊C4 | — | 2 | 1 | no | — |
| 629 | C22⋊C4 | — | 106 | 1 | no | — |
| 630 | C22⋊C4 | — | 106 | 2 | no | — |
| 631 | C22⋊C4 | — | 106 | 2 | no | — |
| 632 | C22⋊C4 | — | 106 | 2 | no | — |
| 633 | C22⋊C4 | — | 106 | 2 | no | — |
| 634 | C22⋊C4 | — | 106 | 1 | no | — |
| 635 | C22⋊C4 | — | 106 | 2 | no | — |
| 636 | C22⋊C4 | — | 106 | 2 | no | — |
| 637 | C22⋊C4 | — | 106 | 1 | no | — |
| 638 | C42 | — | 2 | 2 | no | — |
| 639 | C42 | — | 2 | 1 | no | — |
| 640 | C42 | — | 53 | 1 | no | — |
| 641 | C42 | — | 53 | 1 | no | — |
| 642 | C42 | — | 53 | 1 | no | — |
| 643 | C42 | — | 106 | 1 | no | — |
| 644 | C42 | — | 106 | 1 | no | — |
| 645 | C42 | — | 106 | 2 | no | — |
| 646 | C42 | — | 106 | 2 | no | — |
| 647 | C42 | — | 106 | 2 | no | — |
| 648 | C42 | — | 106 | 1 | no | — |
| 649 | C42 | C23×D53 | 1 | 1 | yes | characteristic |
| 650 | C23 | — | 2 | 1 | no | — |
| 651 | C23 | — | 53 | 1 | no | — |
| 652 | C23 | — | 106 | 1 | no | — |
| 653 | C23 | — | 212 | 2 | no | — |
| 654 | C23 | — | 212 | 2 | no | — |
| 655 | C23 | — | 212 | 2 | no | — |
| 656 | Q8 | — | 2 | 1 | no | — |
| 657 | Q8 | — | 2 | 1 | no | — |
| 658 | Q8 | — | 4 | 1 | no | — |
| 659 | Q8 | — | 4 | 1 | no | — |
| 660 | Q8 | — | 4 | 1 | no | — |
| 661 | Q8 | — | 4 | 1 | no | — |
| 662 | Q8 | — | 106 | 1 | no | — |
| 663 | Q8 | — | 106 | 1 | no | — |
| 664 | Q8 | — | 424 | 2 | no | — |
| 665 | Q8 | — | 212 | 2 | no | — |
| 666 | Q8 | — | 212 | 4 | no | — |
| 667 | Q8 | — | 212 | 1 | no | — |
| 668 | Q8 | — | 212 | 1 | no | — |
| 669 | Q8 | — | 212 | 1 | no | — |
| 670 | Q8 | — | 212 | 1 | no | — |
| 671 | D4 | — | 2 | 1 | no | — |
| 672 | D4 | — | 2 | 1 | no | — |
| 673 | D4 | — | 106 | 1 | no | — |
| 674 | D4 | — | 106 | 1 | no | — |
| 675 | D4 | — | 212 | 2 | no | — |
| 676 | C2×C4 | — | 2 | 1 | no | — |
| 677 | C2×C4 | — | 2 | 1 | no | — |
| 678 | C2×C4 | — | 2 | 1 | no | — |
| 679 | C2×C4 | — | 2 | 2 | no | — |
| 680 | C2×C4 | — | 4 | 1 | no | — |
| 681 | C2×C4 | — | 4 | 1 | no | — |
| 682 | C2×C4 | — | 4 | 1 | no | — |
| 683 | C2×C4 | — | 53 | 1 | no | — |
| 684 | C2×C4 | — | 53 | 1 | no | — |
| 685 | C2×C4 | — | 53 | 2 | no | — |
| 686 | C2×C4 | — | 53 | 2 | no | — |
| 687 | C2×C4 | — | 53 | 2 | no | — |
| 688 | C2×C4 | — | 53 | 2 | no | — |
| 689 | C2×C4 | — | 53 | 1 | no | — |
| 690 | C2×C4 | — | 106 | 2 | no | — |
| 691 | C2×C4 | — | 106 | 1 | no | — |
| 692 | C2×C4 | — | 106 | 1 | no | — |
| 693 | C2×C4 | — | 106 | 2 | no | — |
| 694 | C2×C4 | — | 106 | 1 | no | — |
| 695 | C2×C4 | — | 424 | 2 | no | — |
| 696 | C2×C4 | — | 212 | 2 | no | — |
| 697 | C2×C4 | — | 212 | 2 | no | — |
| 698 | C2×C4 | — | 212 | 2 | no | — |
| 699 | C2×C4 | — | 212 | 2 | no | — |
| 700 | C2×C4 | — | 212 | 4 | no | — |
| 701 | C2×C4 | — | 212 | 2 | no | — |
| 702 | C2×C4 | — | 212 | 1 | no | — |
| 703 | C2×C4 | — | 212 | 1 | no | — |
| 704 | C2×C4 | — | 212 | 1 | no | — |
| 705 | C2×C4 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 706 | C2×C4 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 707 | C2×C4 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 708 | C8 | — | 2 | 2 | no | — |
| 709 | C8 | — | 4 | 1 | no | — |
| 710 | C8 | — | 4 | 1 | no | — |
| 711 | C8 | — | 106 | 2 | no | — |
| 712 | C8 | — | 212 | 1 | no | — |
| 713 | C8 | — | 212 | 1 | no | — |
| 714 | C22 | — | 4 | 1 | no | — |
| 715 | C22 | — | 4 | 1 | no | — |
| 716 | C22 | — | 4 | 1 | no | — |
| 717 | C22 | — | 53 | 2 | no | — |
| 718 | C22 | — | 53 | 2 | no | — |
| 719 | C22 | — | 53 | 2 | no | — |
| 720 | C22 | — | 424 | 4 | no | — |
| 721 | C22 | — | 212 | 1 | no | — |
| 722 | C22 | — | 212 | 1 | no | — |
| 723 | C22 | — | 212 | 1 | no | — |
| 724 | C22 | #120×D53 | 1 | 1 | yes | characteristic |
| 725 | C4 | — | 2 | 1 | no | — |
| 726 | C4 | — | 4 | 2 | no | — |
| 727 | C4 | — | 4 | 1 | no | — |
| 728 | C4 | — | 4 | 1 | no | — |
| 729 | C4 | — | 4 | 1 | no | — |
| 730 | C4 | — | 8 | 1 | no | — |
| 731 | C4 | — | 53 | 2 | no | — |
| 732 | C4 | — | 53 | 2 | no | — |
| 733 | C4 | — | 106 | 1 | no | — |
| 734 | C4 | — | 424 | 1 | no | — |
| 735 | C4 | — | 212 | 2 | no | — |
| 736 | C4 | — | 212 | 1 | no | — |
| 737 | C4 | — | 212 | 1 | no | — |
| 738 | C4 | — | 212 | 1 | no | — |
| 739 | C4 | #135×D53 | 1 | 1 | yes | characteristic |
| 740 | C4 | #135×D53 | 1 | 1 | yes | characteristic |
| 741 | C4 | AGL(1,ℤ/8)×D53 | 1 | 1 | yes | characteristic |
| 742 | C4 | #137×D53 | 1 | 1 | yes | characteristic |
| 743 | C2 | — | 8 | 1 | no | — |
| 744 | C2 | — | 53 | 4 | no | — |
| 745 | C2 | — | 424 | 1 | no | — |
| 746 | C2 | #449×D53 | 1 | 1 | yes | characteristic |
| 747 | C2 | #452×D53 | 1 | 1 | yes | characteristic |
| 748 | C2 | #456×D53 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta