| 1 | C2×#16810896 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#16810884 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #20284183 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×#16810842 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #20283459 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #20276011 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #20276004 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #20275833 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #20275829 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #20275565 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #20275490 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #20275232 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #20275225 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | C4×#13133135 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C53×#3153 | C2 | 1 | 1 | yes | maximal, characteristic |
| 16 | C2×#13133247 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×#13133247 | C22 | 1 | 1 | yes | characteristic |
| 18 | C22×#11719925 | C22 | 1 | 1 | yes | characteristic |
| 19 | C22×#11719923 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×#13133224 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×#13133224 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×C4×Dic106 | C22 | 1 | 1 | yes | characteristic |
| 23 | #16810896 | — | 2 | 4 | no | — |
| 24 | #16810884 | — | 2 | 4 | no | — |
| 25 | #16810842 | — | 2 | 1 | no | — |
| 26 | #16810842 | — | 2 | 1 | no | — |
| 27 | #16810842 | — | 2 | 1 | no | — |
| 28 | #16810842 | — | 2 | 1 | no | — |
| 29 | #16810842 | — | 2 | 1 | no | — |
| 30 | #16810842 | — | 2 | 1 | no | — |
| 31 | #16810830 | — | 2 | 1 | no | — |
| 32 | #16810820 | — | 2 | 1 | no | — |
| 33 | #16810701 | — | 2 | 1 | no | — |
| 34 | #16810695 | — | 2 | 1 | no | — |
| 35 | #16810695 | — | 2 | 1 | no | — |
| 36 | D4×#88322 | — | 2 | 1 | no | — |
| 37 | C2×#13133152 | C22 | 1 | 1 | yes | characteristic |
| 38 | C2×#13133152 | C22 | 1 | 1 | yes | characteristic |
| 39 | #16810647 | C22 | 1 | 1 | yes | characteristic |
| 40 | C2×C4⋊#88322 | C22 | 1 | 1 | yes | characteristic |
| 41 | #16810624 | C22 | 1 | 1 | yes | characteristic |
| 42 | #16810624 | C22 | 1 | 1 | yes | characteristic |
| 43 | C2×#13133141 | C22 | 1 | 1 | yes | characteristic |
| 44 | C2×#13133138 | C22 | 1 | 1 | yes | characteristic |
| 45 | C2×#13133136 | C22 | 1 | 1 | yes | characteristic |
| 46 | C2×#13133136 | C22 | 1 | 1 | yes | characteristic |
| 47 | C2×#13133135 | C22 | 1 | 1 | yes | characteristic |
| 48 | C2×#13133135 | C22 | 1 | 1 | yes | characteristic |
| 49 | C2×#13133134 | C22 | 1 | 1 | yes | characteristic |
| 50 | C2×#13133134 | C22 | 1 | 1 | yes | characteristic |
| 51 | #16810590 | C22 | 1 | 1 | yes | characteristic |
| 52 | #16810590 | C22 | 1 | 1 | yes | characteristic |
| 53 | C4×#11719917 | C22 | 1 | 1 | yes | characteristic |
| 54 | #16810391 | C22 | 1 | 1 | yes | characteristic |
| 55 | #16810391 | C22 | 1 | 1 | yes | characteristic |
| 56 | #16810387 | C22 | 1 | 1 | yes | characteristic |
| 57 | #16810387 | C22 | 1 | 1 | yes | characteristic |
| 58 | C2×#137×C53 | C22 | 1 | 1 | yes | characteristic |
| 59 | C2×#137×C53 | C22 | 1 | 1 | yes | characteristic |
| 60 | C2×AGL(1,ℤ/8)×C53 | C22 | 1 | 1 | yes | characteristic |
| 61 | C2×AGL(1,ℤ/8)×C53 | C22 | 1 | 1 | yes | characteristic |
| 62 | C53×#532 | C22 | 1 | 1 | yes | characteristic |
| 63 | C2×#124×C53 | C22 | 1 | 1 | yes | characteristic |
| 64 | C53×#497 | — | 2 | 1 | no | — |
| 65 | C53×#496 | — | 2 | 1 | no | — |
| 66 | C53×#495 | — | 2 | 1 | no | — |
| 67 | C53×#495 | — | 2 | 1 | no | — |
| 68 | C4×M16×C53 | C22 | 1 | 1 | yes | characteristic |
| 69 | C22×Dic106 | C23 | 1 | 1 | yes | characteristic |
| 70 | #13133247 | — | 2 | 2 | no | — |
| 71 | #13133247 | — | 2 | 2 | no | — |
| 72 | #13133247 | — | 4 | 1 | no | — |
| 73 | #13133247 | — | 4 | 1 | no | — |
| 74 | C2×#11719925 | — | 2 | 1 | no | — |
| 75 | C2×#11719925 | — | 2 | 1 | no | — |
| 76 | C2×#11719925 | — | 2 | 1 | no | — |
| 77 | C2×#11719925 | — | 2 | 1 | no | — |
| 78 | C2×#11719925 | — | 2 | 2 | no | — |
| 79 | C2×#11719925 | — | 4 | 1 | no | — |
| 80 | C2×#11719923 | — | 2 | 1 | no | — |
| 81 | C2×#11719923 | — | 2 | 1 | no | — |
| 82 | C2×#11719923 | — | 2 | 1 | no | — |
| 83 | C2×#11719923 | — | 2 | 1 | no | — |
| 84 | C2×#11719923 | — | 2 | 2 | no | — |
| 85 | C2×#11719923 | — | 4 | 1 | no | — |
| 86 | #13133224 | — | 2 | 2 | no | — |
| 87 | #13133224 | — | 2 | 2 | no | — |
| 88 | #13133224 | — | 4 | 1 | no | — |
| 89 | #13133224 | — | 4 | 1 | no | — |
| 90 | C2×#11719917 | — | 2 | 1 | no | — |
| 91 | C2×#11719917 | — | 2 | 1 | no | — |
| 92 | C2×#11719917 | C23 | 1 | 1 | yes | characteristic |
| 93 | C2×#11719917 | C23 | 1 | 1 | yes | characteristic |
| 94 | C2×#11719917 | C23 | 1 | 1 | yes | characteristic |
| 95 | C2×#11719917 | C23 | 1 | 1 | yes | characteristic |
| 96 | C22×#88322 | — | 2 | 1 | no | — |
| 97 | C22×#88322 | — | 2 | 1 | no | — |
| 98 | C22×#88322 | C23 | 1 | 1 | yes | characteristic |
| 99 | C22×#88322 | C23 | 1 | 1 | yes | characteristic |
| 100 | C4×Dic106 | — | 2 | 1 | no | — |
| 101 | C4×Dic106 | — | 2 | 1 | no | — |
| 102 | C4×Dic106 | — | 2 | 1 | no | — |
| 103 | C4×Dic106 | — | 2 | 1 | no | — |
| 104 | C2×C4⋊Dic53 | C23 | 1 | 1 | yes | characteristic |
| 105 | C2×#11719919 | — | 2 | 1 | no | — |
| 106 | C2×C4×Dic53 | — | 2 | 1 | no | — |
| 107 | #13133152 | — | 2 | 2 | no | — |
| 108 | #13133152 | — | 2 | 2 | no | — |
| 109 | C4⋊#88322 | — | 2 | 1 | no | — |
| 110 | C4⋊#88322 | — | 2 | 1 | no | — |
| 111 | C4⋊#88322 | D4 | 1 | 1 | yes | characteristic |
| 112 | C4⋊#88322 | D4 | 1 | 1 | yes | characteristic |
| 113 | C4⋊#88322 | D4 | 1 | 1 | yes | characteristic |
| 114 | C4⋊#88322 | D4 | 1 | 1 | yes | characteristic |
| 115 | #13133141 | — | 2 | 1 | no | — |
| 116 | #13133141 | — | 2 | 1 | no | — |
| 117 | #13133141 | — | 2 | 1 | no | — |
| 118 | #13133141 | — | 2 | 1 | no | — |
| 119 | #13133138 | — | 2 | 1 | no | — |
| 120 | #13133138 | — | 2 | 1 | no | — |
| 121 | #13133138 | — | 2 | 1 | no | — |
| 122 | #13133138 | — | 2 | 1 | no | — |
| 123 | #13133136 | — | 2 | 2 | no | — |
| 124 | #13133136 | — | 4 | 1 | no | — |
| 125 | #13133135 | — | 2 | 2 | no | — |
| 126 | #13133135 | D4 | 1 | 4 | yes | complemented |
| 127 | #13133134 | — | 2 | 2 | no | — |
| 128 | #13133134 | — | 4 | 1 | no | — |
| 129 | C22⋊#88322 | — | 2 | 1 | no | — |
| 130 | C22⋊#88322 | — | 2 | 1 | no | — |
| 131 | C22⋊#88322 | — | 2 | 1 | no | — |
| 132 | C22⋊#88322 | — | 2 | 1 | no | — |
| 133 | #13133128 | — | 2 | 1 | no | — |
| 134 | C4×#88322 | — | 2 | 1 | no | — |
| 135 | C2×#41×C53 | C23 | 1 | 1 | yes | characteristic |
| 136 | C2×#41×C53 | C23 | 1 | 1 | yes | characteristic |
| 137 | C22×Q8×C53 | C23 | 1 | 1 | yes | characteristic |
| 138 | C22×D4×C53 | C23 | 1 | 1 | yes | characteristic |
| 139 | #137×C53 | — | 2 | 2 | no | — |
| 140 | #137×C53 | — | 2 | 2 | no | — |
| 141 | #137×C53 | — | 4 | 1 | no | — |
| 142 | #137×C53 | — | 4 | 1 | no | — |
| 143 | AGL(1,ℤ/8)×C53 | — | 2 | 2 | no | — |
| 144 | AGL(1,ℤ/8)×C53 | — | 2 | 2 | no | — |
| 145 | AGL(1,ℤ/8)×C53 | — | 4 | 1 | no | — |
| 146 | AGL(1,ℤ/8)×C53 | — | 4 | 1 | no | — |
| 147 | C2×Q16×C53 | — | 2 | 1 | no | — |
| 148 | C2×Q16×C53 | — | 2 | 1 | no | — |
| 149 | C2×SD16×C53 | — | 2 | 1 | no | — |
| 150 | C2×SD16×C53 | — | 2 | 1 | no | — |
| 151 | C2×SD16×C53 | — | 2 | 1 | no | — |
| 152 | C2×SD16×C53 | — | 2 | 1 | no | — |
| 153 | C2×D8×C53 | — | 2 | 1 | no | — |
| 154 | C2×D8×C53 | — | 2 | 1 | no | — |
| 155 | C2×M16×C53 | C23 | 1 | 1 | yes | characteristic |
| 156 | C2×M16×C53 | C23 | 1 | 1 | yes | characteristic |
| 157 | C4⋊Q8×C53 | D4 | 1 | 1 | yes | characteristic |
| 158 | #127×C53 | D4 | 1 | 1 | yes | characteristic |
| 159 | #124×C53 | — | 2 | 1 | no | — |
| 160 | #124×C53 | — | 2 | 1 | no | — |
| 161 | #124×C53 | — | 2 | 1 | no | — |
| 162 | #124×C53 | — | 2 | 1 | no | — |
| 163 | #124×C53 | D4 | 1 | 1 | yes | characteristic |
| 164 | #124×C53 | D4 | 1 | 1 | yes | characteristic |
| 165 | #121×C53 | — | 2 | 1 | no | — |
| 166 | #121×C53 | — | 2 | 1 | no | — |
| 167 | C4×D4×C53 | — | 2 | 1 | no | — |
| 168 | C4×D4×C53 | — | 2 | 1 | no | — |
| 169 | C2×C22⋊C4×C53 | — | 2 | 1 | no | — |
| 170 | C2×C22⋊C4×C53 | — | 2 | 1 | no | — |
| 171 | C2×C42×C53 | C23 | 1 | 1 | yes | characteristic |
| 172 | #97×C53 | — | 2 | 1 | no | — |
| 173 | C4×C8×C53 | — | 2 | 1 | no | — |
| 174 | C24×C53 | — | 2 | 1 | no | — |
| 175 | #41×C53 | — | 2 | 1 | no | — |
| 176 | #41×C53 | — | 2 | 1 | no | — |
| 177 | #41×C53 | — | 2 | 1 | no | — |
| 178 | #41×C53 | — | 2 | 1 | no | — |
| 179 | #41×C53 | — | 2 | 1 | no | — |
| 180 | #41×C53 | — | 2 | 1 | no | — |
| 181 | #41×C53 | — | 2 | 1 | no | — |
| 182 | #41×C53 | — | 2 | 1 | no | — |
| 183 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 184 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 185 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 186 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 187 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 188 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 189 | C2×Q8×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 190 | C2×Q8×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 191 | C2×D4×C53 | — | 2 | 1 | no | — |
| 192 | C2×D4×C53 | — | 2 | 1 | no | — |
| 193 | C2×D4×C53 | — | 2 | 1 | no | — |
| 194 | C2×D4×C53 | — | 2 | 1 | no | — |
| 195 | C2×D4×C53 | — | 2 | 1 | no | — |
| 196 | C2×D4×C53 | — | 2 | 1 | no | — |
| 197 | C2×D4×C53 | — | 2 | 1 | no | — |
| 198 | C2×D4×C53 | — | 2 | 1 | no | — |
| 199 | C2×D4×C53 | — | 2 | 1 | no | — |
| 200 | C2×D4×C53 | — | 2 | 1 | no | — |
| 201 | C2×D4×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 202 | C2×D4×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 203 | C22×C4×C53 | — | 2 | 1 | no | — |
| 204 | C22×C4×C53 | — | 2 | 1 | no | — |
| 205 | C22×C4×C53 | — | 2 | 1 | no | — |
| 206 | C22×C4×C53 | #41 | 1 | 1 | yes | characteristic |
| 207 | C22×C4×C53 | #41 | 1 | 1 | yes | characteristic |
| 208 | C22×C4×C53 | C24 | 1 | 1 | yes | characteristic |
| 209 | C22×Dic53 | — | 2 | 1 | no | — |
| 210 | C22×Dic53 | — | 2 | 1 | no | — |
| 211 | C2×Dic106 | — | 2 | 1 | no | — |
| 212 | C2×Dic106 | — | 2 | 1 | no | — |
| 213 | C2×Dic106 | — | 2 | 1 | no | — |
| 214 | C2×Dic106 | — | 2 | 1 | no | — |
| 215 | C2×Dic106 | — | 2 | 1 | no | — |
| 216 | C2×Dic106 | C2×D4 | 1 | 2 | yes | — |
| 217 | Q16×C53 | — | 4 | 2 | no | — |
| 218 | Q16×C53 | — | 4 | 2 | no | — |
| 219 | SD16×C53 | — | 4 | 2 | no | — |
| 220 | SD16×C53 | — | 4 | 2 | no | — |
| 221 | SD16×C53 | — | 4 | 2 | no | — |
| 222 | SD16×C53 | — | 4 | 2 | no | — |
| 223 | D8×C53 | — | 4 | 2 | no | — |
| 224 | D8×C53 | — | 4 | 2 | no | — |
| 225 | M16×C53 | — | 2 | 1 | no | — |
| 226 | M16×C53 | — | 2 | 1 | no | — |
| 227 | M16×C53 | C2×D4 | 1 | 2 | yes | — |
| 228 | M16×C53 | #41 | 1 | 2 | yes | — |
| 229 | C2×C8×C53 | — | 2 | 1 | no | — |
| 230 | C2×C8×C53 | — | 2 | 1 | no | — |
| 231 | C4⋊C4×C53 | — | 2 | 1 | no | — |
| 232 | C4⋊C4×C53 | — | 2 | 1 | no | — |
| 233 | C22⋊C4×C53 | — | 2 | 1 | no | — |
| 234 | C22⋊C4×C53 | — | 2 | 1 | no | — |
| 235 | C22⋊C4×C53 | — | 2 | 1 | no | — |
| 236 | C22⋊C4×C53 | — | 2 | 1 | no | — |
| 237 | C22⋊C4×C53 | — | 4 | 1 | no | — |
| 238 | C22⋊C4×C53 | — | 4 | 1 | no | — |
| 239 | C22⋊C4×C53 | — | 4 | 1 | no | — |
| 240 | C22⋊C4×C53 | — | 4 | 1 | no | — |
| 241 | C42×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 242 | C42×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 243 | C42×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 244 | C42×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 245 | #11719925 | — | 4 | 2 | no | — |
| 246 | #11719925 | — | 4 | 2 | no | — |
| 247 | #11719925 | — | 4 | 2 | no | — |
| 248 | #11719925 | — | 4 | 2 | no | — |
| 249 | #11719923 | — | 4 | 2 | no | — |
| 250 | #11719923 | — | 4 | 2 | no | — |
| 251 | #11719923 | — | 4 | 2 | no | — |
| 252 | #11719923 | — | 4 | 2 | no | — |
| 253 | C4⋊Dic53 | — | 2 | 1 | no | — |
| 254 | C4⋊Dic53 | — | 2 | 1 | no | — |
| 255 | #11719919 | — | 4 | 1 | no | — |
| 256 | #11719919 | — | 4 | 1 | no | — |
| 257 | C4×Dic53 | — | 4 | 1 | no | — |
| 258 | C4×Dic53 | — | 4 | 1 | no | — |
| 259 | #11719917 | — | 2 | 1 | no | — |
| 260 | #11719917 | — | 2 | 1 | no | — |
| 261 | #11719917 | — | 2 | 1 | no | — |
| 262 | #11719917 | — | 2 | 1 | no | — |
| 263 | #11719917 | — | 2 | 1 | no | — |
| 264 | #11719917 | — | 2 | 1 | no | — |
| 265 | #11719917 | — | 2 | 1 | no | — |
| 266 | #11719917 | — | 4 | 2 | no | — |
| 267 | #11719917 | — | 4 | 2 | no | — |
| 268 | #11719917 | C2×D4 | 1 | 2 | yes | — |
| 269 | C2×#88322 | — | 2 | 1 | no | — |
| 270 | C2×#88322 | — | 2 | 1 | no | — |
| 271 | C2×#88322 | — | 2 | 1 | no | — |
| 272 | C2×#88322 | — | 2 | 1 | no | — |
| 273 | C2×#88322 | — | 2 | 1 | no | — |
| 274 | C2×#88322 | — | 2 | 1 | no | — |
| 275 | C2×#88322 | — | 2 | 1 | no | — |
| 276 | C2×#88322 | — | 2 | 1 | no | — |
| 277 | C2×#88322 | — | 4 | 2 | no | — |
| 278 | C2×#88322 | — | 4 | 2 | no | — |
| 279 | C2×#88322 | C2×D4 | 1 | 1 | yes | characteristic |
| 280 | C2×#88322 | C2×D4 | 1 | 1 | yes | characteristic |
| 281 | C2×#88322 | C2×D4 | 1 | 1 | yes | characteristic |
| 282 | C2×#88322 | C2×D4 | 1 | 1 | yes | characteristic |
| 283 | C23×C53 | — | 2 | 1 | no | — |
| 284 | C23×C53 | — | 2 | 1 | no | — |
| 285 | C23×C53 | — | 4 | 1 | no | — |
| 286 | C23×C53 | — | 4 | 1 | no | — |
| 287 | C23×C53 | — | 4 | 1 | no | — |
| 288 | C23×C53 | — | 8 | 1 | no | — |
| 289 | C23×C53 | — | 8 | 1 | no | — |
| 290 | C23×C53 | C2×#41 | 1 | 1 | yes | characteristic |
| 291 | Q8×C53 | — | 2 | 1 | no | — |
| 292 | Q8×C53 | — | 2 | 1 | no | — |
| 293 | Q8×C53 | — | 2 | 1 | no | — |
| 294 | Q8×C53 | — | 2 | 1 | no | — |
| 295 | Q8×C53 | — | 4 | 1 | no | — |
| 296 | Q8×C53 | — | 4 | 1 | no | — |
| 297 | Q8×C53 | — | 4 | 1 | no | — |
| 298 | Q8×C53 | — | 4 | 1 | no | — |
| 299 | D4×C53 | — | 2 | 1 | no | — |
| 300 | D4×C53 | — | 2 | 1 | no | — |
| 301 | D4×C53 | — | 2 | 1 | no | — |
| 302 | D4×C53 | — | 2 | 1 | no | — |
| 303 | D4×C53 | — | 4 | 2 | no | — |
| 304 | D4×C53 | — | 4 | 1 | no | — |
| 305 | D4×C53 | — | 4 | 1 | no | — |
| 306 | D4×C53 | — | 4 | 1 | no | — |
| 307 | D4×C53 | — | 4 | 1 | no | — |
| 308 | D4×C53 | — | 4 | 1 | no | — |
| 309 | D4×C53 | — | 4 | 1 | no | — |
| 310 | D4×C53 | — | 4 | 1 | no | — |
| 311 | D4×C53 | — | 4 | 1 | no | — |
| 312 | D4×C53 | — | 8 | 1 | no | — |
| 313 | C2×C4×C53 | — | 2 | 1 | no | — |
| 314 | C2×C4×C53 | — | 2 | 1 | no | — |
| 315 | C2×C4×C53 | — | 4 | 1 | no | — |
| 316 | C2×C4×C53 | — | 4 | 1 | no | — |
| 317 | C2×C4×C53 | — | 4 | 1 | no | — |
| 318 | C2×C4×C53 | — | 4 | 1 | no | — |
| 319 | C2×C4×C53 | — | 4 | 1 | no | — |
| 320 | C2×C4×C53 | — | 4 | 1 | no | — |
| 321 | C2×C4×C53 | — | 4 | 1 | no | — |
| 322 | C2×C4×C53 | — | 4 | 1 | no | — |
| 323 | C2×C4×C53 | — | 4 | 1 | no | — |
| 324 | C2×C4×C53 | #121 | 1 | 1 | yes | characteristic |
| 325 | C2×C4×C53 | #121 | 1 | 1 | yes | characteristic |
| 326 | C2×C4×C53 | #121 | 1 | 1 | yes | characteristic |
| 327 | C2×C4×C53 | #121 | 1 | 1 | yes | characteristic |
| 328 | C2×C4×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 329 | C2×C4×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 330 | C2×C4×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 331 | C2×C4×C53 | C2×#41 | 1 | 1 | yes | characteristic |
| 332 | C2×C4×C53 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 333 | C2×C4×C53 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 334 | C2×Dic53 | — | 2 | 2 | no | — |
| 335 | C2×Dic53 | — | 4 | 1 | no | — |
| 336 | C2×Dic53 | — | 4 | 1 | no | — |
| 337 | C2×Dic53 | — | 4 | 1 | no | — |
| 338 | C2×Dic53 | — | 8 | 1 | no | — |
| 339 | Dic106 | — | 2 | 2 | no | — |
| 340 | Dic106 | — | 2 | 2 | no | — |
| 341 | Dic106 | — | 4 | 1 | no | — |
| 342 | Dic106 | — | 4 | 1 | no | — |
| 343 | C8×C53 | — | 2 | 2 | no | — |
| 344 | C8×C53 | — | 2 | 2 | no | — |
| 345 | #88322 | — | 2 | 1 | no | — |
| 346 | #88322 | — | 2 | 1 | no | — |
| 347 | #88322 | — | 2 | 1 | no | — |
| 348 | #88322 | — | 2 | 1 | no | — |
| 349 | #88322 | — | 2 | 2 | no | — |
| 350 | #88322 | — | 4 | 1 | no | — |
| 351 | #88322 | — | 4 | 1 | no | — |
| 352 | #88322 | — | 4 | 1 | no | — |
| 353 | #25409 | — | 53 | 1 | no | maximal, Sylow |
| 354 | C22×C53 | — | 2 | 1 | no | — |
| 355 | C22×C53 | — | 2 | 1 | no | — |
| 356 | C22×C53 | — | 4 | 1 | no | — |
| 357 | C22×C53 | — | 4 | 1 | no | — |
| 358 | C22×C53 | — | 4 | 1 | no | — |
| 359 | C22×C53 | — | 4 | 1 | no | — |
| 360 | C22×C53 | — | 4 | 1 | no | — |
| 361 | C22×C53 | — | 4 | 1 | no | — |
| 362 | C22×C53 | — | 8 | 1 | no | — |
| 363 | C22×C53 | — | 8 | 1 | no | — |
| 364 | C22×C53 | — | 8 | 1 | no | — |
| 365 | C22×C53 | — | 16 | 1 | no | — |
| 366 | C22×C53 | — | 16 | 1 | no | — |
| 367 | C22×C53 | C2×#121 | 1 | 1 | yes | characteristic |
| 368 | C22×C53 | #532 | 1 | 1 | yes | characteristic |
| 369 | C22×C53 | #540 | 1 | 1 | yes | characteristic |
| 370 | C4×C53 | — | 2 | 1 | no | — |
| 371 | C4×C53 | — | 2 | 1 | no | — |
| 372 | C4×C53 | — | 2 | 1 | no | — |
| 373 | C4×C53 | — | 2 | 1 | no | — |
| 374 | C4×C53 | — | 4 | 1 | no | — |
| 375 | C4×C53 | — | 4 | 1 | no | — |
| 376 | C4×C53 | — | 8 | 1 | no | — |
| 377 | C4×C53 | D42 | 1 | 1 | yes | characteristic |
| 378 | C4×C53 | D42 | 1 | 1 | yes | characteristic |
| 379 | C4×C53 | #546 | 1 | 1 | yes | characteristic |
| 380 | C4×C53 | #550 | 1 | 1 | yes | characteristic |
| 381 | Dic53 | — | 4 | 2 | no | — |
| 382 | Dic53 | — | 8 | 1 | no | — |
| 383 | #3153 | D53 | 1 | 1 | yes | characteristic |
| 384 | C2×#473 | — | 53 | 1 | no | — |
| 385 | C2×#471 | — | 53 | 1 | no | — |
| 386 | #3037 | — | 53 | 1 | no | — |
| 387 | C2×#464 | — | 53 | 1 | no | — |
| 388 | #2935 | — | 53 | 1 | no | — |
| 389 | #2052 | — | 53 | 1 | no | — |
| 390 | #2051 | — | 53 | 1 | no | — |
| 391 | #2020 | — | 53 | 1 | no | — |
| 392 | #2019 | — | 53 | 1 | no | — |
| 393 | #1967 | — | 53 | 1 | no | — |
| 394 | #1950 | — | 53 | 1 | no | — |
| 395 | #1908 | — | 53 | 1 | no | — |
| 396 | #1907 | — | 53 | 1 | no | — |
| 397 | C4×#101 | — | 53 | 1 | no | — |
| 398 | C2×C53 | — | 2 | 1 | no | — |
| 399 | C2×C53 | — | 2 | 1 | no | — |
| 400 | C2×C53 | — | 8 | 1 | no | — |
| 401 | C2×C53 | — | 8 | 1 | no | — |
| 402 | C2×C53 | — | 16 | 1 | no | — |
| 403 | C2×C53 | #2428 | 1 | 1 | yes | characteristic |
| 404 | C2×C53 | #3067 | 1 | 1 | yes | characteristic |
| 405 | C2×C53 | #3069 | 1 | 1 | yes | characteristic |
| 406 | C2×#137 | — | 53 | 1 | no | — |
| 407 | C2×#137 | — | 53 | 1 | no | — |
| 408 | C2×#137 | C2×D53 | 1 | 1 | yes | characteristic |
| 409 | C2×#137 | C2×D53 | 1 | 1 | yes | characteristic |
| 410 | C2×AGL(1,ℤ/8) | C2×D53 | 1 | 1 | yes | characteristic |
| 411 | C2×AGL(1,ℤ/8) | C2×D53 | 1 | 1 | yes | characteristic |
| 412 | C22×Q16 | — | 53 | 1 | no | — |
| 413 | C22×SD16 | — | 53 | 1 | no | — |
| 414 | C2×#131 | — | 53 | 1 | no | — |
| 415 | C2×#131 | — | 53 | 1 | no | — |
| 416 | #532 | C2×D53 | 1 | 1 | yes | characteristic |
| 417 | C2×#124 | C2×D53 | 1 | 1 | yes | characteristic |
| 418 | C2×C4×Q8 | — | 53 | 1 | no | — |
| 419 | #497 | — | 2 | 1 | no | — |
| 420 | #496 | — | 2 | 1 | no | — |
| 421 | #495 | — | 2 | 1 | no | — |
| 422 | #495 | — | 2 | 1 | no | — |
| 423 | #473 | — | 106 | 4 | no | — |
| 424 | #471 | — | 106 | 4 | no | — |
| 425 | #464 | — | 106 | 1 | no | — |
| 426 | #464 | — | 106 | 1 | no | — |
| 427 | #464 | — | 106 | 1 | no | — |
| 428 | #464 | — | 106 | 1 | no | — |
| 429 | #464 | — | 106 | 1 | no | — |
| 430 | #464 | — | 106 | 1 | no | — |
| 431 | #462 | — | 106 | 1 | no | — |
| 432 | #460 | — | 106 | 1 | no | — |
| 433 | #436 | — | 106 | 1 | no | — |
| 434 | #435 | — | 106 | 1 | no | — |
| 435 | #435 | — | 106 | 1 | no | — |
| 436 | C8×D4 | — | 106 | 1 | no | — |
| 437 | C2×#108 | — | 53 | 1 | no | — |
| 438 | C2×#108 | — | 53 | 1 | no | — |
| 439 | #423 | — | 53 | 1 | no | — |
| 440 | C2×C4⋊C8 | — | 53 | 1 | no | — |
| 441 | #417 | — | 53 | 1 | no | — |
| 442 | #417 | — | 53 | 1 | no | — |
| 443 | C2×#103 | — | 53 | 1 | no | — |
| 444 | C2×#102 | — | 53 | 1 | no | — |
| 445 | C2×#101 | — | 53 | 1 | no | — |
| 446 | C2×#101 | — | 53 | 1 | no | — |
| 447 | C2×#101 | — | 53 | 1 | no | — |
| 448 | C2×#101 | — | 53 | 1 | no | — |
| 449 | C2×#100 | — | 53 | 1 | no | — |
| 450 | C2×#100 | — | 53 | 1 | no | — |
| 451 | #408 | — | 53 | 1 | no | — |
| 452 | #408 | — | 53 | 1 | no | — |
| 453 | C4×M16 | — | 53 | 1 | no | — |
| 454 | C4×M16 | C2×D53 | 1 | 1 | yes | characteristic |
| 455 | #343 | — | 53 | 1 | no | — |
| 456 | #343 | — | 53 | 1 | no | — |
| 457 | #341 | — | 53 | 1 | no | — |
| 458 | #341 | — | 53 | 1 | no | — |
| 459 | C53 | #25409 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 460 | C2×#41 | C22×D53 | 1 | 1 | yes | characteristic |
| 461 | C2×#41 | C22×D53 | 1 | 1 | yes | characteristic |
| 462 | C22×Q8 | — | 53 | 1 | no | — |
| 463 | C22×Q8 | C22×D53 | 1 | 1 | yes | characteristic |
| 464 | C22×D4 | C22×D53 | 1 | 1 | yes | characteristic |
| 465 | #137 | — | 2 | 2 | no | — |
| 466 | #137 | — | 2 | 2 | no | — |
| 467 | #137 | — | 4 | 1 | no | — |
| 468 | #137 | — | 4 | 1 | no | — |
| 469 | #137 | — | 106 | 2 | no | — |
| 470 | #137 | — | 106 | 2 | no | — |
| 471 | #137 | — | 212 | 1 | no | — |
| 472 | #137 | — | 212 | 1 | no | — |
| 473 | AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 474 | AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 475 | AGL(1,ℤ/8) | — | 4 | 1 | no | — |
| 476 | AGL(1,ℤ/8) | — | 4 | 1 | no | — |
| 477 | C2×Q16 | — | 2 | 1 | no | — |
| 478 | C2×Q16 | — | 2 | 1 | no | — |
| 479 | C2×Q16 | — | 106 | 1 | no | — |
| 480 | C2×Q16 | — | 106 | 1 | no | — |
| 481 | C2×Q16 | — | 106 | 2 | no | — |
| 482 | C2×Q16 | — | 106 | 1 | no | — |
| 483 | C2×Q16 | — | 106 | 1 | no | — |
| 484 | C2×Q16 | — | 212 | 1 | no | — |
| 485 | C2×SD16 | — | 2 | 1 | no | — |
| 486 | C2×SD16 | — | 2 | 1 | no | — |
| 487 | C2×SD16 | — | 2 | 1 | no | — |
| 488 | C2×SD16 | — | 2 | 1 | no | — |
| 489 | C2×SD16 | — | 106 | 1 | no | — |
| 490 | C2×SD16 | — | 106 | 1 | no | — |
| 491 | C2×SD16 | — | 106 | 2 | no | — |
| 492 | C2×SD16 | — | 106 | 1 | no | — |
| 493 | C2×SD16 | — | 106 | 1 | no | — |
| 494 | C2×SD16 | — | 212 | 1 | no | — |
| 495 | C2×D8 | — | 2 | 1 | no | — |
| 496 | C2×D8 | — | 2 | 1 | no | — |
| 497 | #131 | — | 106 | 2 | no | — |
| 498 | #131 | — | 106 | 2 | no | — |
| 499 | #131 | — | 212 | 1 | no | — |
| 500 | #131 | — | 212 | 1 | no | — |
| 501 | C2×M16 | — | 53 | 1 | no | — |
| 502 | C2×M16 | — | 53 | 1 | no | — |
| 503 | C2×M16 | — | 53 | 1 | no | — |
| 504 | C2×M16 | — | 53 | 1 | no | — |
| 505 | C2×M16 | — | 106 | 1 | no | — |
| 506 | C2×M16 | — | 106 | 1 | no | — |
| 507 | C2×M16 | C22×D53 | 1 | 1 | yes | characteristic |
| 508 | C2×M16 | C22×D53 | 1 | 1 | yes | characteristic |
| 509 | C22×C8 | — | 53 | 1 | no | — |
| 510 | C22×C8 | — | 53 | 1 | no | — |
| 511 | C22×C8 | — | 106 | 1 | no | — |
| 512 | C22×C8 | — | 106 | 1 | no | — |
| 513 | C4⋊Q8 | C22⋊D53 | 1 | 1 | yes | characteristic |
| 514 | #127 | C22⋊D53 | 1 | 1 | yes | characteristic |
| 515 | #124 | — | 2 | 1 | no | — |
| 516 | #124 | — | 2 | 1 | no | — |
| 517 | #124 | — | 2 | 1 | no | — |
| 518 | #124 | — | 2 | 1 | no | — |
| 519 | #124 | C22⋊D53 | 1 | 1 | yes | characteristic |
| 520 | #124 | C22⋊D53 | 1 | 1 | yes | characteristic |
| 521 | #121 | — | 2 | 1 | no | — |
| 522 | #121 | — | 2 | 1 | no | — |
| 523 | C4×Q8 | — | 106 | 1 | no | — |
| 524 | C4×Q8 | — | 106 | 1 | no | — |
| 525 | C4×Q8 | — | 106 | 1 | no | — |
| 526 | C4×Q8 | — | 106 | 1 | no | — |
| 527 | C4×D4 | — | 2 | 1 | no | — |
| 528 | C4×D4 | — | 2 | 1 | no | — |
| 529 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 530 | C2×C4⋊C4 | — | 106 | 1 | no | — |
| 531 | C2×C22⋊C4 | — | 2 | 1 | no | — |
| 532 | C2×C22⋊C4 | — | 2 | 1 | no | — |
| 533 | C2×C42 | — | 106 | 1 | no | — |
| 534 | C2×C42 | C22×D53 | 1 | 1 | yes | characteristic |
| 535 | #108 | — | 106 | 2 | no | — |
| 536 | #108 | — | 106 | 2 | no | — |
| 537 | C4⋊C8 | — | 53 | 1 | no | — |
| 538 | C4⋊C8 | — | 53 | 1 | no | — |
| 539 | C4⋊C8 | — | 53 | 1 | no | — |
| 540 | C4⋊C8 | — | 53 | 1 | no | — |
| 541 | C4⋊C8 | — | 106 | 1 | no | — |
| 542 | C4⋊C8 | — | 106 | 1 | no | — |
| 543 | #103 | — | 106 | 1 | no | — |
| 544 | #103 | — | 106 | 1 | no | — |
| 545 | #103 | — | 106 | 1 | no | — |
| 546 | #103 | — | 106 | 1 | no | — |
| 547 | #102 | — | 106 | 1 | no | — |
| 548 | #102 | — | 106 | 1 | no | — |
| 549 | #102 | — | 106 | 1 | no | — |
| 550 | #102 | — | 106 | 1 | no | — |
| 551 | #101 | — | 53 | 4 | no | — |
| 552 | #101 | — | 106 | 2 | no | — |
| 553 | #101 | — | 106 | 2 | no | — |
| 554 | #101 | — | 212 | 1 | no | — |
| 555 | #100 | — | 106 | 2 | no | — |
| 556 | #100 | — | 212 | 1 | no | — |
| 557 | C22⋊C8 | — | 106 | 1 | no | — |
| 558 | C22⋊C8 | — | 106 | 1 | no | — |
| 559 | C22⋊C8 | — | 106 | 1 | no | — |
| 560 | C22⋊C8 | — | 106 | 1 | no | — |
| 561 | #97 | — | 2 | 1 | no | — |
| 562 | #97 | — | 106 | 1 | no | — |
| 563 | C4×C8 | — | 2 | 1 | no | — |
| 564 | C4×C8 | — | 106 | 1 | no | — |
| 565 | C24 | — | 2 | 1 | no | — |
| 566 | #41 | — | 2 | 1 | no | — |
| 567 | #41 | — | 2 | 1 | no | — |
| 568 | #41 | — | 2 | 1 | no | — |
| 569 | #41 | — | 2 | 1 | no | — |
| 570 | #41 | — | 2 | 1 | no | — |
| 571 | #41 | — | 2 | 1 | no | — |
| 572 | #41 | — | 2 | 1 | no | — |
| 573 | #41 | — | 2 | 1 | no | — |
| 574 | C2×Q8 | — | 2 | 1 | no | — |
| 575 | C2×Q8 | — | 2 | 1 | no | — |
| 576 | C2×Q8 | — | 2 | 1 | no | — |
| 577 | C2×Q8 | — | 2 | 1 | no | — |
| 578 | C2×Q8 | — | 2 | 1 | no | — |
| 579 | C2×Q8 | — | 2 | 1 | no | — |
| 580 | C2×Q8 | — | 53 | 2 | no | — |
| 581 | C2×Q8 | — | 106 | 1 | no | — |
| 582 | C2×Q8 | — | 106 | 1 | no | — |
| 583 | C2×Q8 | — | 106 | 1 | no | — |
| 584 | C2×Q8 | — | 106 | 1 | no | — |
| 585 | C2×Q8 | — | 106 | 1 | no | — |
| 586 | C2×Q8 | C2×C22⋊D53 | 1 | 1 | yes | characteristic |
| 587 | C2×Q8 | C2×C22⋊D53 | 1 | 1 | yes | characteristic |
| 588 | C2×D4 | — | 2 | 1 | no | — |
| 589 | C2×D4 | — | 2 | 1 | no | — |
| 590 | C2×D4 | — | 2 | 1 | no | — |
| 591 | C2×D4 | — | 2 | 1 | no | — |
| 592 | C2×D4 | — | 2 | 1 | no | — |
| 593 | C2×D4 | — | 2 | 1 | no | — |
| 594 | C2×D4 | — | 2 | 1 | no | — |
| 595 | C2×D4 | — | 2 | 1 | no | — |
| 596 | C2×D4 | — | 2 | 1 | no | — |
| 597 | C2×D4 | — | 2 | 1 | no | — |
| 598 | C2×D4 | C2×C22⋊D53 | 1 | 1 | yes | characteristic |
| 599 | C2×D4 | C2×C22⋊D53 | 1 | 1 | yes | characteristic |
| 600 | C22×C4 | — | 2 | 1 | no | — |
| 601 | C22×C4 | — | 2 | 1 | no | — |
| 602 | C22×C4 | — | 2 | 1 | no | — |
| 603 | C22×C4 | — | 106 | 1 | no | — |
| 604 | C22×C4 | — | 106 | 1 | no | — |
| 605 | C22×C4 | #11719947 | 1 | 1 | yes | characteristic |
| 606 | C22×C4 | #11719947 | 1 | 1 | yes | characteristic |
| 607 | C22×C4 | C23×D53 | 1 | 1 | yes | characteristic |
| 608 | Q16 | — | 4 | 2 | no | — |
| 609 | Q16 | — | 4 | 2 | no | — |
| 610 | Q16 | — | 212 | 2 | no | — |
| 611 | Q16 | — | 212 | 2 | no | — |
| 612 | Q16 | — | 212 | 2 | no | — |
| 613 | Q16 | — | 212 | 2 | no | — |
| 614 | SD16 | — | 4 | 2 | no | — |
| 615 | SD16 | — | 4 | 2 | no | — |
| 616 | SD16 | — | 4 | 2 | no | — |
| 617 | SD16 | — | 4 | 2 | no | — |
| 618 | SD16 | — | 212 | 2 | no | — |
| 619 | SD16 | — | 212 | 2 | no | — |
| 620 | SD16 | — | 212 | 2 | no | — |
| 621 | SD16 | — | 212 | 2 | no | — |
| 622 | D8 | — | 4 | 2 | no | — |
| 623 | D8 | — | 4 | 2 | no | — |
| 624 | M16 | — | 2 | 1 | no | — |
| 625 | M16 | — | 2 | 1 | no | — |
| 626 | M16 | — | 53 | 2 | no | — |
| 627 | M16 | — | 106 | 1 | no | — |
| 628 | M16 | — | 106 | 1 | no | — |
| 629 | M16 | — | 106 | 1 | no | — |
| 630 | M16 | — | 106 | 1 | no | — |
| 631 | M16 | — | 106 | 1 | no | — |
| 632 | M16 | — | 106 | 1 | no | — |
| 633 | M16 | — | 106 | 1 | no | — |
| 634 | M16 | — | 212 | 2 | no | — |
| 635 | M16 | — | 212 | 2 | no | — |
| 636 | M16 | D4×D53 | 1 | 2 | yes | — |
| 637 | M16 | #11719947 | 1 | 2 | yes | — |
| 638 | C2×C8 | — | 2 | 1 | no | — |
| 639 | C2×C8 | — | 2 | 1 | no | — |
| 640 | C2×C8 | — | 53 | 1 | no | — |
| 641 | C2×C8 | — | 53 | 1 | no | — |
| 642 | C2×C8 | — | 53 | 1 | no | — |
| 643 | C2×C8 | — | 53 | 1 | no | — |
| 644 | C2×C8 | — | 106 | 1 | no | — |
| 645 | C2×C8 | — | 106 | 1 | no | — |
| 646 | C2×C8 | — | 106 | 1 | no | — |
| 647 | C2×C8 | — | 106 | 1 | no | — |
| 648 | C2×C8 | — | 106 | 1 | no | — |
| 649 | C2×C8 | — | 106 | 1 | no | — |
| 650 | C2×C8 | — | 106 | 1 | no | — |
| 651 | C2×C8 | — | 106 | 1 | no | — |
| 652 | C2×C8 | — | 212 | 2 | no | — |
| 653 | C2×C8 | — | 212 | 2 | no | — |
| 654 | C4⋊C4 | — | 2 | 1 | no | — |
| 655 | C4⋊C4 | — | 2 | 1 | no | — |
| 656 | C4⋊C4 | — | 106 | 1 | no | — |
| 657 | C4⋊C4 | — | 106 | 1 | no | — |
| 658 | C4⋊C4 | — | 212 | 1 | no | — |
| 659 | C4⋊C4 | — | 212 | 1 | no | — |
| 660 | C22⋊C4 | — | 2 | 1 | no | — |
| 661 | C22⋊C4 | — | 2 | 1 | no | — |
| 662 | C22⋊C4 | — | 2 | 1 | no | — |
| 663 | C22⋊C4 | — | 2 | 1 | no | — |
| 664 | C22⋊C4 | — | 4 | 1 | no | — |
| 665 | C22⋊C4 | — | 4 | 1 | no | — |
| 666 | C22⋊C4 | — | 4 | 1 | no | — |
| 667 | C22⋊C4 | — | 4 | 1 | no | — |
| 668 | C42 | — | 212 | 1 | no | — |
| 669 | C42 | — | 212 | 1 | no | — |
| 670 | C42 | D4×D53 | 1 | 1 | yes | characteristic |
| 671 | C42 | D4×D53 | 1 | 1 | yes | characteristic |
| 672 | C42 | C2×C22⋊D53 | 1 | 1 | yes | characteristic |
| 673 | C42 | C2×C22⋊D53 | 1 | 1 | yes | characteristic |
| 674 | C23 | — | 2 | 1 | no | — |
| 675 | C23 | — | 2 | 1 | no | — |
| 676 | C23 | — | 4 | 1 | no | — |
| 677 | C23 | — | 4 | 1 | no | — |
| 678 | C23 | — | 4 | 1 | no | — |
| 679 | C23 | — | 8 | 1 | no | — |
| 680 | C23 | — | 8 | 1 | no | — |
| 681 | C23 | C2×#11719947 | 1 | 1 | yes | characteristic |
| 682 | Q8 | — | 2 | 1 | no | — |
| 683 | Q8 | — | 2 | 1 | no | — |
| 684 | Q8 | — | 2 | 1 | no | — |
| 685 | Q8 | — | 2 | 1 | no | — |
| 686 | Q8 | — | 4 | 1 | no | — |
| 687 | Q8 | — | 4 | 1 | no | — |
| 688 | Q8 | — | 4 | 1 | no | — |
| 689 | Q8 | — | 4 | 1 | no | — |
| 690 | Q8 | — | 106 | 2 | no | — |
| 691 | Q8 | — | 106 | 2 | no | — |
| 692 | Q8 | — | 212 | 1 | no | — |
| 693 | Q8 | — | 212 | 1 | no | — |
| 694 | D4 | — | 2 | 1 | no | — |
| 695 | D4 | — | 2 | 1 | no | — |
| 696 | D4 | — | 2 | 1 | no | — |
| 697 | D4 | — | 2 | 1 | no | — |
| 698 | D4 | — | 4 | 2 | no | — |
| 699 | D4 | — | 4 | 1 | no | — |
| 700 | D4 | — | 4 | 1 | no | — |
| 701 | D4 | — | 4 | 1 | no | — |
| 702 | D4 | — | 4 | 1 | no | — |
| 703 | D4 | — | 4 | 1 | no | — |
| 704 | D4 | — | 4 | 1 | no | — |
| 705 | D4 | — | 4 | 1 | no | — |
| 706 | D4 | — | 4 | 1 | no | — |
| 707 | D4 | — | 8 | 1 | no | — |
| 708 | C2×C4 | — | 2 | 1 | no | — |
| 709 | C2×C4 | — | 2 | 1 | no | — |
| 710 | C2×C4 | — | 4 | 1 | no | — |
| 711 | C2×C4 | — | 4 | 1 | no | — |
| 712 | C2×C4 | — | 4 | 1 | no | — |
| 713 | C2×C4 | — | 4 | 1 | no | — |
| 714 | C2×C4 | — | 4 | 1 | no | — |
| 715 | C2×C4 | — | 4 | 1 | no | — |
| 716 | C2×C4 | — | 4 | 1 | no | — |
| 717 | C2×C4 | — | 4 | 1 | no | — |
| 718 | C2×C4 | — | 4 | 1 | no | — |
| 719 | C2×C4 | — | 106 | 2 | no | — |
| 720 | C2×C4 | — | 424 | 1 | no | — |
| 721 | C2×C4 | — | 212 | 1 | no | — |
| 722 | C2×C4 | — | 212 | 1 | no | — |
| 723 | C2×C4 | — | 212 | 1 | no | — |
| 724 | C2×C4 | #13133189 | 1 | 1 | yes | characteristic |
| 725 | C2×C4 | #13133189 | 1 | 1 | yes | characteristic |
| 726 | C2×C4 | #13133189 | 1 | 1 | yes | characteristic |
| 727 | C2×C4 | #13133189 | 1 | 1 | yes | characteristic |
| 728 | C2×C4 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 729 | C2×C4 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 730 | C2×C4 | C22×C22⋊D53 | 1 | 1 | yes | characteristic |
| 731 | C2×C4 | C2×#11719947 | 1 | 1 | yes | characteristic |
| 732 | C2×C4 | #13133262 | 1 | 1 | yes | characteristic |
| 733 | C2×C4 | #13133262 | 1 | 1 | yes | characteristic |
| 734 | C8 | — | 2 | 2 | no | — |
| 735 | C8 | — | 2 | 2 | no | — |
| 736 | C8 | — | 106 | 1 | no | — |
| 737 | C8 | — | 106 | 1 | no | — |
| 738 | C8 | — | 106 | 1 | no | — |
| 739 | C8 | — | 106 | 1 | no | — |
| 740 | C8 | — | 106 | 2 | no | — |
| 741 | C8 | — | 212 | 1 | no | — |
| 742 | C8 | — | 212 | 1 | no | — |
| 743 | C8 | — | 212 | 1 | no | — |
| 744 | C22 | — | 2 | 1 | no | — |
| 745 | C22 | — | 2 | 1 | no | — |
| 746 | C22 | — | 4 | 1 | no | — |
| 747 | C22 | — | 4 | 1 | no | — |
| 748 | C22 | — | 4 | 1 | no | — |
| 749 | C22 | — | 4 | 1 | no | — |
| 750 | C22 | — | 4 | 1 | no | — |
| 751 | C22 | — | 4 | 1 | no | — |
| 752 | C22 | — | 8 | 1 | no | — |
| 753 | C22 | — | 8 | 1 | no | — |
| 754 | C22 | — | 8 | 1 | no | — |
| 755 | C22 | — | 16 | 1 | no | — |
| 756 | C22 | — | 16 | 1 | no | — |
| 757 | C22 | C2×#13133189 | 1 | 1 | yes | characteristic |
| 758 | C22 | #16811171 | 1 | 1 | yes | characteristic |
| 759 | C22 | #16811227 | 1 | 1 | yes | characteristic |
| 760 | C4 | — | 2 | 1 | no | — |
| 761 | C4 | — | 2 | 1 | no | — |
| 762 | C4 | — | 2 | 1 | no | — |
| 763 | C4 | — | 2 | 1 | no | — |
| 764 | C4 | — | 4 | 1 | no | — |
| 765 | C4 | — | 4 | 1 | no | — |
| 766 | C4 | — | 8 | 1 | no | — |
| 767 | C4 | — | 424 | 1 | no | — |
| 768 | C4 | — | 212 | 2 | no | — |
| 769 | C4 | D4×C22⋊D53 | 1 | 1 | yes | characteristic |
| 770 | C4 | #16811258 | 1 | 1 | yes | characteristic |
| 771 | C4 | #16811267 | 1 | 1 | yes | characteristic |
| 772 | C4 | #16811293 | 1 | 1 | yes | characteristic |
| 773 | C2 | — | 2 | 1 | no | — |
| 774 | C2 | — | 2 | 1 | no | — |
| 775 | C2 | — | 8 | 1 | no | — |
| 776 | C2 | — | 8 | 1 | no | — |
| 777 | C2 | — | 16 | 1 | no | — |
| 778 | C2 | #20278306 | 1 | 1 | yes | characteristic |
| 779 | C2 | #20284432 | 1 | 1 | yes | characteristic |
| 780 | C2 | #20284454 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta