| 1 | #20285163 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #20284446 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #20284439 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #20284087 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #20284064 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #20275989 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #20275985 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #20275769 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #20275768 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #20275728 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #20275727 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #20275387 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #20275386 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #20275095 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C53×#3021 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #16811421 | C22 | 1 | 1 | yes | characteristic |
| 17 | #16811421 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×#13133245 | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | C2×#13133243 | C22 | 1 | 1 | yes | characteristic, complemented |
| 20 | C2×#13133242 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×#13133242 | C22 | 1 | 1 | yes | characteristic |
| 22 | #16811389 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | #16811187 | C22 | 1 | 1 | yes | characteristic |
| 24 | #16811169 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×#13133213 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | #16811011 | — | 2 | 1 | no | — |
| 27 | #16811009 | — | 2 | 1 | no | — |
| 28 | #16810998 | — | 2 | 1 | no | — |
| 29 | #16810994 | — | 2 | 1 | no | — |
| 30 | #16810892 | — | 2 | 2 | no | — |
| 31 | #16810890 | — | 2 | 2 | no | — |
| 32 | #16810889 | — | 2 | 2 | no | — |
| 33 | #16810883 | — | 2 | 2 | no | — |
| 34 | #16810806 | — | 2 | 1 | no | — |
| 35 | #16810801 | — | 2 | 1 | no | — |
| 36 | #16810796 | — | 2 | 1 | no | — |
| 37 | #16810796 | — | 2 | 2 | no | — |
| 38 | #16810791 | — | 2 | 1 | no | — |
| 39 | #16810791 | — | 2 | 2 | no | — |
| 40 | #16810672 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | #16810671 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | #16810640 | C22 | 1 | 1 | yes | characteristic |
| 43 | #16810640 | C22 | 1 | 1 | yes | characteristic |
| 44 | C2×#13133144 | C22 | 1 | 1 | yes | characteristic |
| 45 | C2×#13133144 | C22 | 1 | 1 | yes | characteristic |
| 46 | #16810628 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | #16810627 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | #16810607 | C22 | 1 | 1 | yes | characteristic |
| 49 | #16810607 | C22 | 1 | 1 | yes | characteristic |
| 50 | C2×#13133134 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | C2×#13133133 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | #16810596 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | M16×Dic53 | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | #16810395 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | #16810393 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | #16810384 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | #16810382 | C22 | 1 | 1 | yes | characteristic, complemented |
| 58 | C53×#585 | C22 | 1 | 1 | yes | characteristic |
| 59 | C2×AGL(1,ℤ/8)×C53 | C22 | 1 | 1 | yes | characteristic |
| 60 | C2×AGL(1,ℤ/8)×C53 | C22 | 1 | 1 | yes | characteristic |
| 61 | C53×#535 | C22 | 1 | 1 | yes | characteristic |
| 62 | C53×#454 | — | 2 | 2 | no | — |
| 63 | C53×#453 | — | 2 | 2 | no | — |
| 64 | C53×#421 | C22 | 1 | 1 | yes | characteristic |
| 65 | C53×#421 | C22 | 1 | 1 | yes | characteristic |
| 66 | C53×#413 | C22 | 1 | 1 | yes | characteristic |
| 67 | C2×#11719945 | C23 | 1 | 1 | yes | characteristic |
| 68 | C22×D212 | C23 | 1 | 1 | yes | characteristic |
| 69 | C22×C22⋊D53 | — | 4 | 1 | no | — |
| 70 | #13133248 | — | 2 | 1 | no | — |
| 71 | #13133248 | — | 2 | 1 | no | — |
| 72 | #13133247 | — | 2 | 1 | no | — |
| 73 | #13133247 | — | 2 | 1 | no | — |
| 74 | #13133245 | — | 2 | 2 | no | — |
| 75 | #13133245 | — | 4 | 1 | no | — |
| 76 | #13133243 | — | 2 | 2 | no | — |
| 77 | #13133243 | — | 2 | 1 | no | — |
| 78 | #13133243 | — | 2 | 1 | no | — |
| 79 | #13133243 | — | 4 | 1 | no | — |
| 80 | #13133242 | — | 2 | 2 | no | — |
| 81 | #13133242 | — | 2 | 2 | no | — |
| 82 | #13133242 | — | 2 | 1 | no | — |
| 83 | #13133242 | — | 2 | 1 | no | — |
| 84 | #13133242 | — | 4 | 1 | no | — |
| 85 | #13133242 | — | 4 | 1 | no | — |
| 86 | #13133237 | — | 4 | 1 | no | — |
| 87 | #13133237 | — | 4 | 1 | no | — |
| 88 | C2×#11719913 | — | 2 | 1 | no | — |
| 89 | C2×#11719923 | — | 2 | 1 | no | — |
| 90 | C2×#11719924 | — | 2 | 1 | no | — |
| 91 | C2×#11719924 | — | 2 | 1 | no | — |
| 92 | C2×D424 | — | 2 | 1 | no | — |
| 93 | C2×#11719922 | — | 2 | 1 | no | — |
| 94 | C2×#11719922 | — | 2 | 1 | no | — |
| 95 | C2×#11719922 | — | 2 | 1 | no | — |
| 96 | #13133225 | — | 2 | 2 | no | — |
| 97 | #13133223 | — | 2 | 2 | no | — |
| 98 | C2×#11719917 | C23 | 1 | 1 | yes | characteristic |
| 99 | C2×#11719917 | C23 | 1 | 1 | yes | characteristic |
| 100 | C2×#11719917 | C23 | 1 | 1 | yes | characteristic |
| 101 | C2×#11719917 | C23 | 1 | 1 | yes | characteristic |
| 102 | M16×D53 | — | 4 | 1 | no | — |
| 103 | #13133215 | D4 | 1 | 1 | yes | characteristic, complemented |
| 104 | #13133213 | — | 2 | 1 | no | — |
| 105 | #13133213 | — | 2 | 1 | no | — |
| 106 | #13133213 | — | 2 | 1 | no | — |
| 107 | #13133213 | — | 4 | 1 | no | — |
| 108 | #13133213 | D4 | 1 | 1 | yes | characteristic, complemented |
| 109 | #13133206 | — | 2 | 1 | no | — |
| 110 | #13133206 | D4 | 1 | 1 | yes | characteristic, complemented |
| 111 | #13133204 | D4 | 1 | 1 | yes | characteristic, complemented |
| 112 | #13133191 | — | 4 | 1 | no | — |
| 113 | #13133189 | — | 4 | 1 | no | — |
| 114 | #13133185 | — | 4 | 1 | no | — |
| 115 | C4×C22⋊D53 | — | 4 | 1 | no | — |
| 116 | #13133176 | C23 | 1 | 1 | yes | characteristic |
| 117 | C2×C4×Dic53 | C23 | 1 | 1 | yes | characteristic |
| 118 | #13133153 | — | 2 | 2 | no | — |
| 119 | #13133152 | — | 2 | 2 | no | — |
| 120 | #13133144 | — | 2 | 1 | no | — |
| 121 | #13133144 | — | 2 | 1 | no | — |
| 122 | #13133144 | — | 2 | 1 | no | — |
| 123 | #13133144 | — | 2 | 1 | no | — |
| 124 | #13133144 | — | 2 | 2 | no | — |
| 125 | #13133144 | — | 2 | 2 | no | — |
| 126 | #13133138 | — | 4 | 1 | no | — |
| 127 | #13133137 | — | 4 | 1 | no | — |
| 128 | #13133136 | — | 2 | 1 | no | — |
| 129 | #13133136 | D4 | 1 | 2 | yes | complemented |
| 130 | #13133134 | — | 2 | 2 | no | — |
| 131 | #13133134 | — | 2 | 1 | no | — |
| 132 | #13133134 | D4 | 1 | 2 | yes | complemented |
| 133 | #13133133 | — | 2 | 2 | no | — |
| 134 | #13133131 | — | 4 | 1 | no | — |
| 135 | #13133127 | — | 2 | 1 | no | — |
| 136 | C8×Dic53 | — | 2 | 1 | no | — |
| 137 | 2−1+4×C53 | — | 2 | 1 | no | — |
| 138 | 2−1+4×C53 | — | 2 | 1 | no | — |
| 139 | 2−1+4×C53 | — | 2 | 1 | no | — |
| 140 | H(5,𝔽2)×C53 | — | 2 | 1 | no | — |
| 141 | H(5,𝔽2)×C53 | — | 2 | 1 | no | — |
| 142 | H(5,𝔽2)×C53 | — | 2 | 1 | no | — |
| 143 | H(5,𝔽2)×C53 | — | 4 | 1 | no | — |
| 144 | C2×#41×C53 | — | 4 | 1 | no | — |
| 145 | C2×#41×C53 | — | 4 | 1 | no | — |
| 146 | C2×#41×C53 | — | 4 | 1 | no | — |
| 147 | C2×#41×C53 | C23 | 1 | 1 | yes | characteristic |
| 148 | C2×#41×C53 | C23 | 1 | 1 | yes | characteristic |
| 149 | C2×#41×C53 | C23 | 1 | 1 | yes | characteristic |
| 150 | C22×D4×C53 | C23 | 1 | 1 | yes | characteristic |
| 151 | AGL(1,ℤ/8)×C53 | — | 2 | 2 | no | — |
| 152 | AGL(1,ℤ/8)×C53 | — | 2 | 2 | no | — |
| 153 | AGL(1,ℤ/8)×C53 | — | 4 | 1 | no | — |
| 154 | AGL(1,ℤ/8)×C53 | — | 4 | 1 | no | — |
| 155 | C2×SD16×C53 | — | 2 | 1 | no | — |
| 156 | C2×SD16×C53 | — | 2 | 1 | no | — |
| 157 | C2×D8×C53 | — | 2 | 1 | no | — |
| 158 | C2×D8×C53 | — | 2 | 1 | no | — |
| 159 | C2×M16×C53 | C23 | 1 | 1 | yes | characteristic |
| 160 | C2×M16×C53 | C23 | 1 | 1 | yes | characteristic |
| 161 | #127×C53 | — | 2 | 1 | no | — |
| 162 | #124×C53 | — | 2 | 1 | no | — |
| 163 | #121×C53 | — | 4 | 1 | no | — |
| 164 | #120×C53 | — | 4 | 1 | no | — |
| 165 | #117×C53 | C23 | 1 | 1 | yes | characteristic |
| 166 | #104×C53 | — | 2 | 2 | no | — |
| 167 | #104×C53 | — | 2 | 2 | no | — |
| 168 | #101×C53 | D4 | 1 | 2 | yes | complemented |
| 169 | #100×C53 | D4 | 1 | 2 | yes | complemented |
| 170 | C24×C53 | — | 2 | 1 | no | — |
| 171 | C23×D53 | — | 2 | 1 | no | — |
| 172 | #41×C53 | — | 2 | 1 | no | — |
| 173 | #41×C53 | — | 2 | 1 | no | — |
| 174 | #41×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 | #41×C53 | — | 2 | 1 | no | — |
| 184 | #41×C53 | — | 4 | 2 | no | — |
| 185 | #41×C53 | — | 4 | 2 | no | — |
| 186 | #41×C53 | — | 4 | 2 | no | — |
| 187 | #41×C53 | — | 4 | 1 | no | — |
| 188 | #41×C53 | — | 4 | 1 | no | — |
| 189 | #41×C53 | — | 4 | 1 | no | — |
| 190 | #41×C53 | — | 4 | 1 | no | — |
| 191 | #41×C53 | — | 4 | 1 | no | — |
| 192 | #41×C53 | — | 4 | 1 | no | — |
| 193 | #41×C53 | — | 4 | 2 | no | — |
| 194 | C2×Q8×C53 | — | 4 | 1 | no | — |
| 195 | C2×Q8×C53 | — | 4 | 1 | no | — |
| 196 | C2×Q8×C53 | — | 4 | 1 | no | — |
| 197 | C2×Q8×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 198 | C2×Q8×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 199 | C2×Q8×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 200 | C2×D4×C53 | — | 2 | 1 | no | — |
| 201 | C2×D4×C53 | — | 2 | 1 | no | — |
| 202 | C2×D4×C53 | — | 2 | 1 | no | — |
| 203 | C2×D4×C53 | — | 2 | 1 | no | — |
| 204 | C2×D4×C53 | — | 2 | 1 | no | — |
| 205 | C2×D4×C53 | — | 2 | 1 | no | — |
| 206 | C2×D4×C53 | — | 2 | 1 | no | — |
| 207 | C2×D4×C53 | — | 2 | 1 | no | — |
| 208 | C2×D4×C53 | — | 2 | 1 | no | — |
| 209 | C2×D4×C53 | — | 4 | 1 | no | — |
| 210 | C2×D4×C53 | — | 4 | 1 | no | — |
| 211 | C2×D4×C53 | — | 4 | 1 | no | — |
| 212 | C2×D4×C53 | — | 4 | 2 | no | — |
| 213 | C2×D4×C53 | — | 4 | 2 | no | — |
| 214 | C2×D4×C53 | — | 4 | 2 | no | — |
| 215 | C2×D4×C53 | — | 4 | 2 | no | — |
| 216 | C2×D4×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 217 | C2×D4×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 218 | C2×D4×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 219 | C22×C4×C53 | — | 2 | 1 | no | — |
| 220 | C22×C4×C53 | — | 2 | 1 | no | — |
| 221 | C22×C4×C53 | — | 2 | 1 | no | — |
| 222 | C22×C4×C53 | — | 4 | 2 | no | — |
| 223 | C22×C4×C53 | C24 | 1 | 1 | yes | characteristic |
| 224 | C2×C22⋊D53 | — | 2 | 1 | no | — |
| 225 | C2×C22⋊D53 | — | 4 | 1 | no | — |
| 226 | C2×C22⋊D53 | — | 4 | 2 | no | — |
| 227 | C2×C22⋊D53 | — | 4 | 2 | no | — |
| 228 | C2×C22⋊D53 | — | 4 | 2 | no | — |
| 229 | C2×C22⋊D53 | — | 8 | 4 | no | — |
| 230 | C22×Dic53 | — | 2 | 1 | no | — |
| 231 | #11719945 | — | 2 | 1 | no | — |
| 232 | #11719945 | — | 2 | 1 | no | — |
| 233 | #11719945 | — | 2 | 1 | no | — |
| 234 | #11719945 | — | 2 | 1 | no | — |
| 235 | C2×D212 | — | 2 | 1 | no | — |
| 236 | C2×D212 | — | 2 | 1 | no | — |
| 237 | C2×D212 | — | 2 | 1 | no | — |
| 238 | C2×D212 | — | 2 | 1 | no | — |
| 239 | C2×D212 | — | 2 | 1 | no | — |
| 240 | C2×D212 | — | 2 | 1 | no | — |
| 241 | C2×D212 | C2×D4 | 1 | 1 | yes | characteristic |
| 242 | C2×C4×D53 | — | 2 | 1 | no | — |
| 243 | C2×Dic106 | C2×D4 | 1 | 1 | yes | characteristic |
| 244 | SD16×C53 | — | 4 | 2 | no | — |
| 245 | SD16×C53 | — | 4 | 2 | no | — |
| 246 | D8×C53 | — | 4 | 2 | no | — |
| 247 | D8×C53 | — | 4 | 2 | no | — |
| 248 | M16×C53 | — | 2 | 1 | no | — |
| 249 | M16×C53 | — | 2 | 1 | no | — |
| 250 | M16×C53 | C2×D4 | 1 | 2 | yes | — |
| 251 | M16×C53 | C2×D4 | 1 | 2 | yes | — |
| 252 | C2×C8×C53 | — | 2 | 1 | no | — |
| 253 | C2×C8×C53 | — | 2 | 1 | no | — |
| 254 | C4⋊C4×C53 | — | 2 | 1 | no | — |
| 255 | C22⋊C4×C53 | — | 2 | 1 | no | — |
| 256 | C22⋊C4×C53 | — | 4 | 2 | no | — |
| 257 | C42×C53 | — | 2 | 1 | no | — |
| 258 | C22⋊Dic53 | — | 2 | 1 | no | — |
| 259 | C22⋊Dic53 | — | 4 | 1 | no | — |
| 260 | #11719925 | — | 4 | 1 | no | — |
| 261 | #11719925 | — | 4 | 1 | no | — |
| 262 | #11719924 | — | 4 | 2 | no | — |
| 263 | #11719924 | — | 4 | 2 | no | — |
| 264 | #11719924 | — | 4 | 1 | no | — |
| 265 | #11719924 | — | 4 | 1 | no | — |
| 266 | #11719923 | — | 4 | 2 | no | — |
| 267 | #11719923 | — | 4 | 1 | no | — |
| 268 | #11719923 | — | 4 | 1 | no | — |
| 269 | #11719922 | — | 4 | 2 | no | — |
| 270 | #11719922 | — | 4 | 2 | no | — |
| 271 | #11719922 | — | 4 | 2 | no | — |
| 272 | #11719922 | — | 4 | 1 | no | — |
| 273 | #11719922 | — | 4 | 1 | no | — |
| 274 | #11719921 | — | 4 | 1 | no | — |
| 275 | #11719921 | — | 4 | 2 | no | — |
| 276 | C4⋊Dic53 | — | 2 | 1 | no | — |
| 277 | #11719919 | — | 4 | 1 | no | — |
| 278 | C4×Dic53 | — | 2 | 1 | no | — |
| 279 | C4×Dic53 | — | 2 | 1 | no | — |
| 280 | C4×Dic53 | C2×D4 | 1 | 1 | yes | characteristic |
| 281 | C4×Dic53 | C2×D4 | 1 | 1 | yes | characteristic |
| 282 | #11719917 | — | 2 | 1 | no | — |
| 283 | #11719917 | — | 2 | 1 | no | — |
| 284 | #11719917 | — | 2 | 1 | no | — |
| 285 | #11719917 | — | 2 | 1 | no | — |
| 286 | #11719917 | — | 2 | 1 | no | — |
| 287 | #11719917 | — | 2 | 1 | no | — |
| 288 | #11719917 | C2×D4 | 1 | 2 | yes | — |
| 289 | #11719917 | C2×D4 | 1 | 2 | yes | — |
| 290 | C2×#88322 | — | 2 | 1 | no | — |
| 291 | C2×#88322 | — | 2 | 1 | no | — |
| 292 | C2×#88322 | — | 2 | 1 | no | — |
| 293 | C2×#88322 | — | 2 | 1 | no | — |
| 294 | D424 | — | 4 | 2 | no | — |
| 295 | #11719913 | — | 4 | 2 | no | — |
| 296 | #11719912 | — | 4 | 2 | no | — |
| 297 | C8×D53 | — | 4 | 2 | no | — |
| 298 | C23×C53 | — | 2 | 1 | no | — |
| 299 | C23×C53 | — | 2 | 1 | no | — |
| 300 | C23×C53 | — | 2 | 1 | no | — |
| 301 | C23×C53 | — | 4 | 2 | no | — |
| 302 | C23×C53 | — | 4 | 1 | no | — |
| 303 | C23×C53 | — | 4 | 1 | no | — |
| 304 | C23×C53 | — | 4 | 1 | no | — |
| 305 | C23×C53 | — | 8 | 2 | no | — |
| 306 | C23×C53 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 307 | C22×D53 | — | 2 | 1 | no | — |
| 308 | C22×D53 | — | 4 | 1 | no | — |
| 309 | C22×D53 | — | 4 | 1 | no | — |
| 310 | C22×D53 | — | 4 | 1 | no | — |
| 311 | C22×D53 | — | 8 | 2 | no | — |
| 312 | Q8×C53 | — | 2 | 1 | no | — |
| 313 | Q8×C53 | — | 2 | 1 | no | — |
| 314 | Q8×C53 | — | 2 | 1 | no | — |
| 315 | Q8×C53 | — | 2 | 1 | no | — |
| 316 | Q8×C53 | — | 2 | 1 | no | — |
| 317 | Q8×C53 | — | 2 | 1 | no | — |
| 318 | Q8×C53 | — | 4 | 2 | no | — |
| 319 | D4×C53 | — | 2 | 1 | no | — |
| 320 | D4×C53 | — | 2 | 1 | no | — |
| 321 | D4×C53 | — | 2 | 1 | no | — |
| 322 | D4×C53 | — | 2 | 1 | no | — |
| 323 | D4×C53 | — | 2 | 1 | no | — |
| 324 | D4×C53 | — | 2 | 1 | no | — |
| 325 | D4×C53 | — | 4 | 2 | no | — |
| 326 | D4×C53 | — | 4 | 2 | no | — |
| 327 | D4×C53 | — | 4 | 2 | no | — |
| 328 | D4×C53 | — | 4 | 1 | no | — |
| 329 | D4×C53 | — | 4 | 1 | no | — |
| 330 | D4×C53 | — | 4 | 1 | no | — |
| 331 | D4×C53 | — | 4 | 1 | no | — |
| 332 | D4×C53 | — | 4 | 1 | no | — |
| 333 | D4×C53 | — | 4 | 1 | no | — |
| 334 | D4×C53 | — | 4 | 1 | no | — |
| 335 | D4×C53 | — | 4 | 1 | no | — |
| 336 | D4×C53 | — | 4 | 1 | no | — |
| 337 | D4×C53 | — | 4 | 1 | no | — |
| 338 | D4×C53 | — | 16 | 2 | no | — |
| 339 | C2×C4×C53 | — | 2 | 1 | no | — |
| 340 | C2×C4×C53 | — | 2 | 1 | no | — |
| 341 | C2×C4×C53 | — | 2 | 1 | no | — |
| 342 | C2×C4×C53 | — | 4 | 2 | no | — |
| 343 | C2×C4×C53 | — | 4 | 2 | no | — |
| 344 | C2×C4×C53 | — | 4 | 2 | no | — |
| 345 | C2×C4×C53 | — | 4 | 1 | no | — |
| 346 | C2×C4×C53 | — | 4 | 1 | no | — |
| 347 | C2×C4×C53 | — | 4 | 1 | no | — |
| 348 | C2×C4×C53 | — | 4 | 1 | no | — |
| 349 | C2×C4×C53 | — | 4 | 1 | no | — |
| 350 | C2×C4×C53 | — | 4 | 1 | no | — |
| 351 | C2×C4×C53 | — | 4 | 1 | no | — |
| 352 | C2×C4×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 353 | C2×C4×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 354 | C2×C4×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 355 | C2×C4×C53 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 356 | C2×C4×C53 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 357 | C2×C4×C53 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 358 | C22⋊D53 | — | 4 | 1 | no | — |
| 359 | C22⋊D53 | — | 4 | 1 | no | — |
| 360 | C22⋊D53 | — | 8 | 2 | no | — |
| 361 | C22⋊D53 | — | 8 | 4 | no | — |
| 362 | C22⋊D53 | — | 8 | 4 | no | — |
| 363 | C22⋊D53 | — | 16 | 2 | no | — |
| 364 | C2×Dic53 | — | 2 | 1 | no | — |
| 365 | C2×Dic53 | — | 2 | 1 | no | — |
| 366 | C2×Dic53 | — | 2 | 1 | no | — |
| 367 | C2×Dic53 | — | 4 | 2 | no | — |
| 368 | C2×Dic53 | — | 4 | 1 | no | — |
| 369 | D212 | — | 2 | 1 | no | — |
| 370 | D212 | — | 2 | 1 | no | — |
| 371 | D212 | — | 4 | 1 | no | — |
| 372 | D212 | — | 4 | 1 | no | — |
| 373 | D212 | — | 4 | 1 | no | — |
| 374 | D212 | — | 4 | 1 | no | — |
| 375 | C4×D53 | — | 4 | 1 | no | — |
| 376 | C4×D53 | — | 4 | 1 | no | — |
| 377 | Dic106 | — | 2 | 1 | no | — |
| 378 | Dic106 | — | 2 | 1 | no | — |
| 379 | C8×C53 | — | 2 | 2 | no | — |
| 380 | C8×C53 | — | 2 | 2 | no | — |
| 381 | #88322 | — | 2 | 2 | no | — |
| 382 | #88322 | — | 2 | 2 | no | — |
| 383 | #88322 | — | 4 | 1 | no | — |
| 384 | #88322 | — | 4 | 1 | no | — |
| 385 | #30496 | — | 53 | 1 | no | maximal, Sylow |
| 386 | C22×C53 | — | 4 | 1 | no | — |
| 387 | C22×C53 | — | 4 | 1 | no | — |
| 388 | C22×C53 | — | 4 | 1 | no | — |
| 389 | C22×C53 | — | 4 | 1 | no | — |
| 390 | C22×C53 | — | 8 | 1 | no | — |
| 391 | C22×C53 | — | 8 | 1 | no | — |
| 392 | C22×C53 | — | 8 | 1 | no | — |
| 393 | C22×C53 | — | 8 | 2 | no | — |
| 394 | C22×C53 | — | 8 | 2 | no | — |
| 395 | C22×C53 | — | 8 | 1 | no | — |
| 396 | C22×C53 | — | 16 | 1 | no | — |
| 397 | C22×C53 | — | 16 | 2 | no | — |
| 398 | C22×C53 | #534 | 1 | 1 | yes | characteristic |
| 399 | C22×C53 | #535 | 1 | 1 | yes | characteristic |
| 400 | C22×C53 | #535 | 1 | 1 | yes | characteristic |
| 401 | C2×D53 | — | 4 | 1 | no | — |
| 402 | C2×D53 | — | 8 | 1 | no | — |
| 403 | C2×D53 | — | 8 | 2 | no | — |
| 404 | C2×D53 | — | 8 | 2 | no | — |
| 405 | C2×D53 | — | 8 | 1 | no | — |
| 406 | C2×D53 | — | 16 | 1 | no | — |
| 407 | C4×C53 | — | 4 | 1 | no | — |
| 408 | C4×C53 | — | 4 | 1 | no | — |
| 409 | C4×C53 | — | 4 | 1 | no | — |
| 410 | C4×C53 | — | 8 | 1 | no | — |
| 411 | C4×C53 | D42 | 1 | 1 | yes | characteristic |
| 412 | C4×C53 | D42 | 1 | 1 | yes | characteristic |
| 413 | C4×C53 | D42 | 1 | 1 | yes | characteristic |
| 414 | C4×C53 | #560 | 1 | 1 | yes | characteristic |
| 415 | Dic53 | — | 2 | 2 | no | — |
| 416 | Dic53 | — | 4 | 1 | no | — |
| 417 | Dic53 | — | 4 | 1 | no | — |
| 418 | Dic53 | — | 8 | 1 | no | — |
| 419 | #3151 | — | 53 | 1 | no | — |
| 420 | #3068 | — | 53 | 1 | no | — |
| 421 | #3068 | — | 53 | 1 | no | — |
| 422 | #3021 | — | 53 | 1 | no | — |
| 423 | #3021 | D53 | 1 | 1 | yes | characteristic, complemented |
| 424 | #3018 | — | 53 | 1 | no | — |
| 425 | #2048 | — | 53 | 1 | no | — |
| 426 | #2048 | — | 53 | 1 | no | — |
| 427 | #2008 | — | 53 | 1 | no | — |
| 428 | #2008 | — | 53 | 1 | no | — |
| 429 | #2002 | — | 53 | 1 | no | — |
| 430 | #2002 | — | 53 | 1 | no | — |
| 431 | #1932 | — | 53 | 1 | no | — |
| 432 | #1932 | — | 53 | 1 | no | — |
| 433 | #1884 | — | 53 | 1 | no | — |
| 434 | C2×C53 | — | 2 | 1 | no | — |
| 435 | C2×C53 | — | 2 | 1 | no | — |
| 436 | C2×C53 | — | 2 | 1 | no | — |
| 437 | C2×C53 | — | 8 | 1 | no | — |
| 438 | C2×C53 | — | 8 | 1 | no | — |
| 439 | C2×C53 | — | 8 | 1 | no | — |
| 440 | C2×C53 | — | 16 | 1 | no | — |
| 441 | C2×C53 | #2669 | 1 | 1 | yes | characteristic |
| 442 | D53 | — | 8 | 1 | no | — |
| 443 | D53 | — | 16 | 1 | no | — |
| 444 | #585 | C2×D53 | 1 | 1 | yes | characteristic |
| 445 | #575 | — | 53 | 1 | no | — |
| 446 | #575 | — | 53 | 1 | no | — |
| 447 | C2×AGL(1,ℤ/8) | — | 53 | 1 | no | — |
| 448 | C2×AGL(1,ℤ/8) | — | 53 | 1 | no | — |
| 449 | C2×AGL(1,ℤ/8) | — | 53 | 1 | no | — |
| 450 | C2×AGL(1,ℤ/8) | — | 53 | 1 | no | — |
| 451 | C2×AGL(1,ℤ/8) | C2×D53 | 1 | 1 | yes | characteristic |
| 452 | C2×AGL(1,ℤ/8) | C2×D53 | 1 | 1 | yes | characteristic |
| 453 | #568 | — | 53 | 1 | no | — |
| 454 | #535 | — | 53 | 1 | no | — |
| 455 | #535 | C2×D53 | 1 | 1 | yes | characteristic |
| 456 | #532 | — | 53 | 1 | no | — |
| 457 | C2×#127 | — | 53 | 1 | no | — |
| 458 | #496 | — | 106 | 1 | no | — |
| 459 | #496 | — | 106 | 1 | no | — |
| 460 | #493 | — | 106 | 1 | no | — |
| 461 | #492 | — | 106 | 1 | no | — |
| 462 | #472 | — | 106 | 2 | no | — |
| 463 | #472 | — | 106 | 2 | no | — |
| 464 | #471 | — | 106 | 2 | no | — |
| 465 | #471 | — | 106 | 2 | no | — |
| 466 | #456 | — | 106 | 1 | no | — |
| 467 | #455 | — | 106 | 1 | no | — |
| 468 | #454 | — | 2 | 2 | no | — |
| 469 | #454 | — | 106 | 2 | no | — |
| 470 | #454 | — | 106 | 1 | no | — |
| 471 | #453 | — | 2 | 2 | no | — |
| 472 | #453 | — | 106 | 2 | no | — |
| 473 | #453 | — | 106 | 1 | no | — |
| 474 | #430 | — | 53 | 1 | no | — |
| 475 | #430 | — | 53 | 1 | no | — |
| 476 | #421 | — | 53 | 1 | no | — |
| 477 | #421 | — | 53 | 1 | no | — |
| 478 | #421 | C2×D53 | 1 | 1 | yes | characteristic |
| 479 | #421 | C2×D53 | 1 | 1 | yes | characteristic |
| 480 | C2×#104 | — | 53 | 1 | no | — |
| 481 | C2×#104 | — | 53 | 1 | no | — |
| 482 | #418 | — | 53 | 1 | no | — |
| 483 | #418 | — | 53 | 1 | no | — |
| 484 | #413 | — | 53 | 1 | no | — |
| 485 | #413 | — | 53 | 1 | no | — |
| 486 | #413 | C2×D53 | 1 | 1 | yes | characteristic |
| 487 | C2×#100 | — | 53 | 1 | no | — |
| 488 | C2×#100 | — | 53 | 1 | no | — |
| 489 | #410 | — | 53 | 1 | no | — |
| 490 | C4×M16 | — | 53 | 1 | no | — |
| 491 | #344 | — | 53 | 1 | no | — |
| 492 | #344 | — | 53 | 1 | no | — |
| 493 | #339 | — | 53 | 1 | no | — |
| 494 | #339 | — | 53 | 1 | no | — |
| 495 | C53 | #30496 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 496 | 2−1+4 | — | 2 | 1 | no | — |
| 497 | 2−1+4 | — | 2 | 1 | no | — |
| 498 | 2−1+4 | — | 2 | 1 | no | — |
| 499 | H(5,𝔽2) | — | 2 | 1 | no | — |
| 500 | H(5,𝔽2) | — | 2 | 1 | no | — |
| 501 | H(5,𝔽2) | — | 2 | 1 | no | — |
| 502 | H(5,𝔽2) | — | 4 | 1 | no | — |
| 503 | C2×#41 | — | 4 | 1 | no | — |
| 504 | C2×#41 | — | 4 | 1 | no | — |
| 505 | C2×#41 | — | 4 | 1 | no | — |
| 506 | C2×#41 | — | 53 | 1 | no | — |
| 507 | C2×#41 | C22×D53 | 1 | 1 | yes | characteristic |
| 508 | C2×#41 | C22×D53 | 1 | 1 | yes | characteristic |
| 509 | C2×#41 | C22×D53 | 1 | 1 | yes | characteristic |
| 510 | C22×D4 | — | 53 | 1 | no | — |
| 511 | C22×D4 | — | 212 | 1 | no | — |
| 512 | C22×D4 | C22×D53 | 1 | 1 | yes | characteristic |
| 513 | #137 | — | 106 | 1 | no | — |
| 514 | #137 | — | 106 | 1 | no | — |
| 515 | #137 | — | 106 | 1 | no | — |
| 516 | #137 | — | 106 | 1 | no | — |
| 517 | AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 518 | AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 519 | AGL(1,ℤ/8) | — | 4 | 1 | no | — |
| 520 | AGL(1,ℤ/8) | — | 4 | 1 | no | — |
| 521 | AGL(1,ℤ/8) | — | 106 | 2 | no | — |
| 522 | AGL(1,ℤ/8) | — | 106 | 2 | no | — |
| 523 | AGL(1,ℤ/8) | — | 106 | 2 | no | — |
| 524 | AGL(1,ℤ/8) | — | 106 | 1 | no | — |
| 525 | AGL(1,ℤ/8) | — | 106 | 1 | no | — |
| 526 | AGL(1,ℤ/8) | — | 106 | 1 | no | — |
| 527 | AGL(1,ℤ/8) | — | 106 | 1 | no | — |
| 528 | AGL(1,ℤ/8) | — | 106 | 2 | no | — |
| 529 | AGL(1,ℤ/8) | — | 212 | 1 | no | — |
| 530 | AGL(1,ℤ/8) | — | 212 | 1 | no | — |
| 531 | AGL(1,ℤ/8) | — | 212 | 1 | no | — |
| 532 | AGL(1,ℤ/8) | — | 212 | 1 | no | — |
| 533 | #135 | — | 212 | 1 | no | — |
| 534 | #135 | — | 212 | 1 | no | — |
| 535 | C2×SD16 | — | 2 | 1 | no | — |
| 536 | C2×SD16 | — | 2 | 1 | no | — |
| 537 | C2×SD16 | — | 106 | 1 | no | — |
| 538 | C2×SD16 | — | 106 | 1 | no | — |
| 539 | C2×SD16 | — | 106 | 1 | no | — |
| 540 | C2×SD16 | — | 106 | 1 | no | — |
| 541 | C2×D8 | — | 2 | 1 | no | — |
| 542 | C2×D8 | — | 2 | 1 | no | — |
| 543 | C2×D8 | — | 106 | 1 | no | — |
| 544 | C2×D8 | — | 106 | 1 | no | — |
| 545 | C2×D8 | — | 106 | 1 | no | — |
| 546 | C2×D8 | — | 106 | 1 | no | — |
| 547 | #131 | — | 106 | 2 | no | — |
| 548 | #131 | — | 106 | 2 | no | — |
| 549 | C2×M16 | — | 53 | 1 | no | — |
| 550 | C2×M16 | — | 53 | 1 | no | — |
| 551 | C2×M16 | — | 53 | 1 | no | — |
| 552 | C2×M16 | — | 53 | 1 | no | — |
| 553 | C2×M16 | — | 212 | 1 | no | — |
| 554 | C2×M16 | C22×D53 | 1 | 1 | yes | characteristic |
| 555 | C2×M16 | C22×D53 | 1 | 1 | yes | characteristic |
| 556 | C4⋊Q8 | — | 53 | 1 | no | — |
| 557 | #127 | — | 2 | 1 | no | — |
| 558 | #127 | — | 53 | 1 | no | — |
| 559 | #127 | — | 106 | 1 | no | — |
| 560 | #127 | — | 106 | 1 | no | — |
| 561 | #127 | — | 106 | 1 | no | — |
| 562 | #127 | — | 212 | 1 | no | — |
| 563 | #124 | — | 2 | 1 | no | — |
| 564 | #124 | — | 53 | 1 | no | — |
| 565 | #124 | — | 53 | 1 | no | — |
| 566 | #124 | — | 106 | 1 | no | — |
| 567 | #121 | — | 4 | 1 | no | — |
| 568 | #121 | — | 212 | 1 | no | — |
| 569 | #121 | — | 212 | 1 | no | — |
| 570 | #120 | — | 4 | 1 | no | — |
| 571 | #120 | — | 212 | 1 | no | — |
| 572 | C4×D4 | — | 212 | 1 | no | — |
| 573 | #117 | — | 53 | 1 | no | — |
| 574 | #117 | C22×D53 | 1 | 1 | yes | characteristic |
| 575 | C2×C42 | — | 53 | 1 | no | — |
| 576 | #108 | — | 106 | 2 | no | — |
| 577 | #108 | — | 106 | 2 | no | — |
| 578 | #104 | — | 2 | 2 | no | — |
| 579 | #104 | — | 2 | 2 | no | — |
| 580 | #104 | — | 106 | 1 | no | — |
| 581 | #104 | — | 106 | 1 | no | — |
| 582 | #104 | — | 106 | 1 | no | — |
| 583 | #104 | — | 106 | 1 | no | — |
| 584 | #104 | — | 106 | 2 | no | — |
| 585 | #104 | — | 106 | 2 | no | — |
| 586 | #102 | — | 212 | 1 | no | — |
| 587 | #102 | — | 212 | 1 | no | — |
| 588 | #101 | — | 53 | 2 | no | — |
| 589 | #101 | — | 106 | 1 | no | — |
| 590 | #101 | C22⋊D53 | 1 | 2 | yes | complemented |
| 591 | #100 | — | 53 | 2 | no | — |
| 592 | #100 | — | 106 | 2 | no | — |
| 593 | #100 | — | 106 | 1 | no | — |
| 594 | #100 | — | 106 | 2 | no | — |
| 595 | #100 | C22⋊D53 | 1 | 2 | yes | complemented |
| 596 | #99 | — | 212 | 1 | no | — |
| 597 | #97 | — | 106 | 1 | no | — |
| 598 | C4×C8 | — | 106 | 1 | no | — |
| 599 | C24 | — | 2 | 1 | no | — |
| 600 | C24 | — | 106 | 1 | no | — |
| 601 | #41 | — | 2 | 1 | no | — |
| 602 | #41 | — | 2 | 1 | no | — |
| 603 | #41 | — | 2 | 1 | no | — |
| 604 | #41 | — | 2 | 1 | no | — |
| 605 | #41 | — | 2 | 1 | no | — |
| 606 | #41 | — | 2 | 1 | no | — |
| 607 | #41 | — | 2 | 1 | no | — |
| 608 | #41 | — | 2 | 1 | no | — |
| 609 | #41 | — | 2 | 1 | no | — |
| 610 | #41 | — | 2 | 1 | no | — |
| 611 | #41 | — | 2 | 1 | no | — |
| 612 | #41 | — | 2 | 1 | no | — |
| 613 | #41 | — | 4 | 2 | no | — |
| 614 | #41 | — | 4 | 2 | no | — |
| 615 | #41 | — | 4 | 2 | no | — |
| 616 | #41 | — | 4 | 1 | no | — |
| 617 | #41 | — | 4 | 1 | no | — |
| 618 | #41 | — | 4 | 1 | no | — |
| 619 | #41 | — | 4 | 1 | no | — |
| 620 | #41 | — | 4 | 1 | no | — |
| 621 | #41 | — | 4 | 1 | no | — |
| 622 | #41 | — | 4 | 2 | no | — |
| 623 | #41 | — | 106 | 1 | no | — |
| 624 | #41 | — | 106 | 1 | no | — |
| 625 | #41 | — | 106 | 1 | no | — |
| 626 | #41 | — | 106 | 1 | no | — |
| 627 | C2×Q8 | — | 4 | 1 | no | — |
| 628 | C2×Q8 | — | 4 | 1 | no | — |
| 629 | C2×Q8 | — | 4 | 1 | no | — |
| 630 | C2×Q8 | — | 53 | 1 | no | — |
| 631 | C2×Q8 | D4×D53 | 1 | 1 | yes | characteristic |
| 632 | C2×Q8 | D4×D53 | 1 | 1 | yes | characteristic |
| 633 | C2×Q8 | C2×C22⋊D53 | 1 | 1 | yes | characteristic |
| 634 | C2×D4 | — | 2 | 1 | no | — |
| 635 | C2×D4 | — | 2 | 1 | no | — |
| 636 | C2×D4 | — | 2 | 1 | no | — |
| 637 | C2×D4 | — | 2 | 1 | no | — |
| 638 | C2×D4 | — | 2 | 1 | no | — |
| 639 | C2×D4 | — | 2 | 1 | no | — |
| 640 | C2×D4 | — | 2 | 1 | no | — |
| 641 | C2×D4 | — | 2 | 1 | no | — |
| 642 | C2×D4 | — | 2 | 1 | no | — |
| 643 | C2×D4 | — | 4 | 1 | no | — |
| 644 | C2×D4 | — | 4 | 1 | no | — |
| 645 | C2×D4 | — | 4 | 1 | no | — |
| 646 | C2×D4 | — | 4 | 2 | no | — |
| 647 | C2×D4 | — | 4 | 2 | no | — |
| 648 | C2×D4 | — | 4 | 2 | no | — |
| 649 | C2×D4 | — | 4 | 2 | no | — |
| 650 | C2×D4 | — | 53 | 1 | no | — |
| 651 | C2×D4 | — | 106 | 1 | no | — |
| 652 | C2×D4 | — | 106 | 1 | no | — |
| 653 | C2×D4 | — | 106 | 1 | no | — |
| 654 | C2×D4 | — | 106 | 1 | no | — |
| 655 | C2×D4 | — | 106 | 1 | no | — |
| 656 | C2×D4 | — | 106 | 1 | no | — |
| 657 | C2×D4 | — | 106 | 1 | no | — |
| 658 | C2×D4 | — | 424 | 4 | no | — |
| 659 | C2×D4 | — | 212 | 1 | no | — |
| 660 | C2×D4 | — | 212 | 2 | no | — |
| 661 | C2×D4 | — | 212 | 2 | no | — |
| 662 | C2×D4 | — | 212 | 2 | no | — |
| 663 | C2×D4 | D4×D53 | 1 | 1 | yes | characteristic |
| 664 | C2×D4 | D4×D53 | 1 | 1 | yes | characteristic |
| 665 | C2×D4 | C2×C22⋊D53 | 1 | 1 | yes | characteristic |
| 666 | C22×C4 | — | 2 | 1 | no | — |
| 667 | C22×C4 | — | 2 | 1 | no | — |
| 668 | C22×C4 | — | 2 | 1 | no | — |
| 669 | C22×C4 | — | 4 | 2 | no | — |
| 670 | C22×C4 | — | 106 | 1 | no | — |
| 671 | C22×C4 | — | 106 | 1 | no | — |
| 672 | C22×C4 | C23×D53 | 1 | 1 | yes | characteristic |
| 673 | Q16 | — | 212 | 1 | no | — |
| 674 | Q16 | — | 212 | 1 | no | — |
| 675 | SD16 | — | 4 | 2 | no | — |
| 676 | SD16 | — | 4 | 2 | no | — |
| 677 | SD16 | — | 212 | 2 | no | — |
| 678 | SD16 | — | 212 | 2 | no | — |
| 679 | SD16 | — | 212 | 2 | no | — |
| 680 | SD16 | — | 212 | 2 | no | — |
| 681 | SD16 | — | 212 | 1 | no | — |
| 682 | SD16 | — | 212 | 1 | no | — |
| 683 | SD16 | — | 212 | 1 | no | — |
| 684 | SD16 | — | 212 | 1 | no | — |
| 685 | D8 | — | 4 | 2 | no | — |
| 686 | D8 | — | 4 | 2 | no | — |
| 687 | D8 | — | 212 | 2 | no | — |
| 688 | D8 | — | 212 | 2 | no | — |
| 689 | D8 | — | 212 | 2 | no | — |
| 690 | D8 | — | 212 | 2 | no | — |
| 691 | D8 | — | 212 | 1 | no | — |
| 692 | D8 | — | 212 | 1 | no | — |
| 693 | M16 | — | 2 | 1 | no | — |
| 694 | M16 | — | 2 | 1 | no | — |
| 695 | M16 | — | 53 | 2 | no | — |
| 696 | M16 | — | 53 | 2 | no | — |
| 697 | M16 | — | 106 | 1 | no | — |
| 698 | M16 | — | 106 | 1 | no | — |
| 699 | M16 | — | 106 | 1 | no | — |
| 700 | M16 | — | 106 | 1 | no | — |
| 701 | M16 | — | 106 | 1 | no | — |
| 702 | M16 | — | 106 | 1 | no | — |
| 703 | M16 | — | 212 | 2 | no | — |
| 704 | M16 | C2×C22⋊D53 | 1 | 2 | yes | — |
| 705 | M16 | C2×C22⋊D53 | 1 | 2 | yes | — |
| 706 | C2×C8 | — | 2 | 1 | no | — |
| 707 | C2×C8 | — | 2 | 1 | no | — |
| 708 | C2×C8 | — | 106 | 1 | no | — |
| 709 | C2×C8 | — | 106 | 1 | no | — |
| 710 | C2×C8 | — | 106 | 1 | no | — |
| 711 | C2×C8 | — | 106 | 1 | no | — |
| 712 | C2×C8 | — | 212 | 2 | no | — |
| 713 | C4⋊C4 | — | 2 | 1 | no | — |
| 714 | C4⋊C4 | — | 106 | 1 | no | — |
| 715 | C4⋊C4 | — | 212 | 1 | no | — |
| 716 | C22⋊C4 | — | 2 | 1 | no | — |
| 717 | C22⋊C4 | — | 4 | 2 | no | — |
| 718 | C22⋊C4 | — | 106 | 1 | no | — |
| 719 | C22⋊C4 | — | 212 | 1 | no | — |
| 720 | C22⋊C4 | — | 212 | 2 | no | — |
| 721 | C22⋊C4 | — | 212 | 1 | no | — |
| 722 | C42 | — | 2 | 1 | no | — |
| 723 | C42 | — | 53 | 1 | no | — |
| 724 | C42 | — | 53 | 1 | no | — |
| 725 | C42 | — | 106 | 1 | no | — |
| 726 | C42 | — | 106 | 1 | no | — |
| 727 | C23 | — | 2 | 1 | no | — |
| 728 | C23 | — | 2 | 1 | no | — |
| 729 | C23 | — | 2 | 1 | no | — |
| 730 | C23 | — | 4 | 2 | no | — |
| 731 | C23 | — | 4 | 1 | no | — |
| 732 | C23 | — | 4 | 1 | no | — |
| 733 | C23 | — | 4 | 1 | no | — |
| 734 | C23 | — | 8 | 2 | no | — |
| 735 | C23 | — | 106 | 1 | no | — |
| 736 | C23 | — | 424 | 2 | no | — |
| 737 | C23 | — | 212 | 1 | no | — |
| 738 | C23 | — | 212 | 1 | no | — |
| 739 | C23 | — | 212 | 1 | no | — |
| 740 | C23 | #13133262 | 1 | 1 | yes | characteristic |
| 741 | Q8 | — | 2 | 1 | no | — |
| 742 | Q8 | — | 2 | 1 | no | — |
| 743 | Q8 | — | 2 | 1 | no | — |
| 744 | Q8 | — | 2 | 1 | no | — |
| 745 | Q8 | — | 2 | 1 | no | — |
| 746 | Q8 | — | 2 | 1 | no | — |
| 747 | Q8 | — | 4 | 2 | no | — |
| 748 | Q8 | — | 106 | 1 | no | — |
| 749 | Q8 | — | 106 | 1 | no | — |
| 750 | D4 | — | 2 | 1 | no | — |
| 751 | D4 | — | 2 | 1 | no | — |
| 752 | D4 | — | 2 | 1 | no | — |
| 753 | D4 | — | 2 | 1 | no | — |
| 754 | D4 | — | 2 | 1 | no | — |
| 755 | D4 | — | 2 | 1 | no | — |
| 756 | D4 | — | 4 | 2 | no | — |
| 757 | D4 | — | 4 | 2 | no | — |
| 758 | D4 | — | 4 | 2 | no | — |
| 759 | D4 | — | 4 | 1 | no | — |
| 760 | D4 | — | 4 | 1 | no | — |
| 761 | D4 | — | 4 | 1 | no | — |
| 762 | D4 | — | 4 | 1 | no | — |
| 763 | D4 | — | 4 | 1 | no | — |
| 764 | D4 | — | 4 | 1 | no | — |
| 765 | D4 | — | 4 | 1 | no | — |
| 766 | D4 | — | 4 | 1 | no | — |
| 767 | D4 | — | 4 | 1 | no | — |
| 768 | D4 | — | 4 | 1 | no | — |
| 769 | D4 | — | 16 | 2 | no | — |
| 770 | D4 | — | 848 | 2 | no | — |
| 771 | D4 | — | 106 | 1 | no | — |
| 772 | D4 | — | 106 | 1 | no | — |
| 773 | D4 | — | 424 | 4 | no | — |
| 774 | D4 | — | 424 | 2 | no | — |
| 775 | D4 | — | 424 | 4 | no | — |
| 776 | D4 | — | 212 | 1 | no | — |
| 777 | D4 | — | 212 | 1 | no | — |
| 778 | D4 | — | 212 | 1 | no | — |
| 779 | D4 | — | 212 | 1 | no | — |
| 780 | D4 | — | 212 | 1 | no | — |
| 781 | D4 | — | 212 | 1 | no | — |
| 782 | C2×C4 | — | 2 | 1 | no | — |
| 783 | C2×C4 | — | 2 | 1 | no | — |
| 784 | C2×C4 | — | 2 | 1 | no | — |
| 785 | C2×C4 | — | 4 | 2 | no | — |
| 786 | C2×C4 | — | 4 | 2 | no | — |
| 787 | C2×C4 | — | 4 | 2 | no | — |
| 788 | C2×C4 | — | 4 | 1 | no | — |
| 789 | C2×C4 | — | 4 | 1 | no | — |
| 790 | C2×C4 | — | 4 | 1 | no | — |
| 791 | C2×C4 | — | 4 | 1 | no | — |
| 792 | C2×C4 | — | 4 | 1 | no | — |
| 793 | C2×C4 | — | 4 | 1 | no | — |
| 794 | C2×C4 | — | 4 | 1 | no | — |
| 795 | C2×C4 | — | 106 | 1 | no | — |
| 796 | C2×C4 | — | 106 | 1 | no | — |
| 797 | C2×C4 | — | 106 | 1 | no | — |
| 798 | C2×C4 | — | 212 | 2 | no | — |
| 799 | C2×C4 | — | 212 | 1 | no | — |
| 800 | C2×C4 | — | 212 | 1 | no | — |
| 801 | C2×C4 | — | 212 | 1 | no | — |
| 802 | C2×C4 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 803 | C2×C4 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 804 | C2×C4 | C22×C22⋊D53 | 1 | 1 | yes | characteristic |
| 805 | C2×C4 | #13133262 | 1 | 1 | yes | characteristic |
| 806 | C2×C4 | #13133262 | 1 | 1 | yes | characteristic |
| 807 | C2×C4 | #13133262 | 1 | 1 | yes | characteristic |
| 808 | C8 | — | 2 | 2 | no | — |
| 809 | C8 | — | 2 | 2 | no | — |
| 810 | C8 | — | 106 | 2 | no | — |
| 811 | C8 | — | 106 | 2 | no | — |
| 812 | C8 | — | 212 | 1 | no | — |
| 813 | C8 | — | 212 | 1 | no | — |
| 814 | C22 | — | 4 | 1 | no | — |
| 815 | C22 | — | 4 | 1 | no | — |
| 816 | C22 | — | 4 | 1 | no | — |
| 817 | C22 | — | 4 | 1 | no | — |
| 818 | C22 | — | 8 | 1 | no | — |
| 819 | C22 | — | 8 | 1 | no | — |
| 820 | C22 | — | 8 | 1 | no | — |
| 821 | C22 | — | 8 | 2 | no | — |
| 822 | C22 | — | 8 | 2 | no | — |
| 823 | C22 | — | 8 | 1 | no | — |
| 824 | C22 | — | 16 | 1 | no | — |
| 825 | C22 | — | 16 | 2 | no | — |
| 826 | C22 | — | 848 | 1 | no | — |
| 827 | C22 | — | 424 | 2 | no | — |
| 828 | C22 | — | 424 | 2 | no | — |
| 829 | C22 | — | 424 | 1 | no | — |
| 830 | C22 | — | 424 | 1 | no | — |
| 831 | C22 | — | 212 | 1 | no | — |
| 832 | C22 | #16811183 | 1 | 1 | yes | characteristic |
| 833 | C22 | #16811188 | 1 | 1 | yes | characteristic |
| 834 | C22 | #16811190 | 1 | 1 | yes | characteristic |
| 835 | C4 | — | 4 | 1 | no | — |
| 836 | C4 | — | 4 | 1 | no | — |
| 837 | C4 | — | 4 | 1 | no | — |
| 838 | C4 | — | 8 | 1 | no | — |
| 839 | C4 | — | 106 | 2 | no | — |
| 840 | C4 | — | 424 | 1 | no | — |
| 841 | C4 | — | 212 | 1 | no | — |
| 842 | C4 | — | 212 | 1 | no | — |
| 843 | C4 | #16811255 | 1 | 1 | yes | characteristic |
| 844 | C4 | D4×C22⋊D53 | 1 | 1 | yes | characteristic |
| 845 | C4 | D4×C22⋊D53 | 1 | 1 | yes | characteristic |
| 846 | C4 | #16811362 | 1 | 1 | yes | characteristic |
| 847 | C2 | — | 2 | 1 | no | — |
| 848 | C2 | — | 2 | 1 | no | — |
| 849 | C2 | — | 2 | 1 | no | — |
| 850 | C2 | — | 8 | 1 | no | — |
| 851 | C2 | — | 8 | 1 | no | — |
| 852 | C2 | — | 8 | 1 | no | — |
| 853 | C2 | — | 16 | 1 | no | — |
| 854 | C2 | — | 848 | 1 | no | — |
| 855 | C2 | — | 424 | 1 | no | — |
| 856 | C2 | #20280929 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta