Finite Group DatabasebetaFinite Group DatabasebetaOrder 13568.
1270 conjugacy classes of subgroups.
The subgroup lattice has 908 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×#16811439 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #20284434 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #20284369 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #20284082 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #20284081 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #20283617 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #20275997 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #20275778 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #20275773 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #20275627 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #20275612 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #20274768 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #20274691 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #20274687 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C53×#2049 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×#13133265 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×#13133264 | C22 | 1 | 1 | yes | characteristic |
| 18 | #16811439 | — | 2 | 2 | no | — |
| 19 | #16811439 | — | 2 | 2 | no | — |
| 20 | #16811439 | — | 2 | 2 | no | — |
| 21 | #16811439 | — | 2 | 2 | no | — |
| 22 | #16811423 | C22 | 1 | 1 | yes | characteristic |
| 23 | #16811423 | C22 | 1 | 1 | yes | characteristic |
| 24 | #16811421 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×#13133250 | C22 | 1 | 1 | yes | characteristic |
| 26 | C2×#13133249 | — | 2 | 1 | no | — |
| 27 | C2×#13133246 | — | 2 | 1 | no | — |
| 28 | C2×#13133238 | — | 2 | 1 | no | — |
| 29 | C2×#13133237 | C22 | 1 | 1 | yes | characteristic |
| 30 | C22×#11719925 | C22 | 1 | 1 | yes | characteristic |
| 31 | C2×Q16×D53 | — | 2 | 1 | no | — |
| 32 | C2×#13133225 | C22 | 1 | 1 | yes | characteristic |
| 33 | C2×#13133225 | C22 | 1 | 1 | yes | characteristic |
| 34 | #16811199 | C22 | 1 | 1 | yes | characteristic |
| 35 | #16811197 | C22 | 1 | 1 | yes | characteristic |
| 36 | #16810897 | — | 2 | 1 | no | — |
| 37 | #16810892 | — | 2 | 1 | no | — |
| 38 | #16810889 | — | 2 | 1 | no | — |
| 39 | #16810885 | — | 2 | 1 | no | — |
| 40 | #16810880 | — | 2 | 2 | no | — |
| 41 | #16810863 | — | 2 | 2 | no | — |
| 42 | #16810808 | — | 2 | 2 | no | — |
| 43 | #16810807 | — | 2 | 2 | no | — |
| 44 | #16810798 | — | 2 | 2 | no | — |
| 45 | #16810797 | — | 2 | 2 | no | — |
| 46 | #16810744 | — | 2 | 2 | no | — |
| 47 | #16810739 | — | 2 | 2 | no | — |
| 48 | C2×#13133152 | C22 | 1 | 1 | yes | characteristic |
| 49 | #16810659 | C22 | 1 | 1 | yes | characteristic |
| 50 | #16810641 | C22 | 1 | 1 | yes | characteristic |
| 51 | #16810639 | C22 | 1 | 1 | yes | characteristic |
| 52 | #16810639 | C22 | 1 | 1 | yes | characteristic |
| 53 | #16810639 | C22 | 1 | 1 | yes | characteristic |
| 54 | #16810639 | C22 | 1 | 1 | yes | characteristic |
| 55 | #16810633 | C22 | 1 | 1 | yes | characteristic |
| 56 | #16810633 | C22 | 1 | 1 | yes | characteristic |
| 57 | #16810632 | C22 | 1 | 1 | yes | characteristic |
| 58 | #16810605 | C22 | 1 | 1 | yes | characteristic |
| 59 | C2×#13133135 | C22 | 1 | 1 | yes | characteristic |
| 60 | #16810597 | C22 | 1 | 1 | yes | characteristic |
| 61 | #16810596 | C22 | 1 | 1 | yes | characteristic |
| 62 | #16810581 | C22 | 1 | 1 | yes | characteristic |
| 63 | #16810395 | C22 | 1 | 1 | yes | characteristic |
| 64 | C2×#137×C53 | C22 | 1 | 1 | yes | characteristic |
| 65 | C53×#430 | C22 | 1 | 1 | yes | characteristic |
| 66 | C53×#421 | C22 | 1 | 1 | yes | characteristic |
| 67 | C53×#419 | C22 | 1 | 1 | yes | characteristic |
| 68 | C53×#413 | C22 | 1 | 1 | yes | characteristic |
| 69 | C2×#101×C53 | C22 | 1 | 1 | yes | characteristic |
| 70 | C53×#344 | C22 | 1 | 1 | yes | characteristic |
| 71 | #13133265 | — | 2 | 2 | no | — |
| 72 | #13133265 | — | 2 | 2 | no | — |
| 73 | #13133265 | — | 2 | 2 | no | — |
| 74 | #13133265 | — | 4 | 1 | no | — |
| 75 | #13133264 | — | 2 | 2 | no | — |
| 76 | #13133264 | — | 2 | 2 | no | — |
| 77 | #13133264 | — | 2 | 2 | no | — |
| 78 | #13133264 | — | 4 | 1 | no | — |
| 79 | C2×#11719949 | — | 2 | 1 | no | — |
| 80 | C2×#11719949 | — | 2 | 1 | no | — |
| 81 | C2×#11719945 | — | 2 | 1 | no | — |
| 82 | C2×#11719945 | — | 4 | 1 | no | — |
| 83 | C2×#11719945 | C23 | 1 | 1 | yes | characteristic |
| 84 | C2×#11719945 | C23 | 1 | 1 | yes | characteristic |
| 85 | C2×#11719945 | C23 | 1 | 1 | yes | characteristic |
| 86 | C2×#11719947 | — | 2 | 1 | no | — |
| 87 | C2×#11719947 | — | 4 | 1 | no | — |
| 88 | C22×Dic106 | — | 2 | 1 | no | — |
| 89 | C22×Dic106 | C23 | 1 | 1 | yes | characteristic |
| 90 | C2×Q8×D53 | — | 2 | 1 | no | — |
| 91 | C2×Q8×D53 | — | 2 | 1 | no | — |
| 92 | C2×Q8×D53 | — | 2 | 1 | no | — |
| 93 | #13133250 | — | 2 | 2 | no | — |
| 94 | #13133250 | — | 2 | 2 | no | — |
| 95 | #13133250 | — | 2 | 1 | no | — |
| 96 | #13133250 | — | 2 | 1 | no | — |
| 97 | #13133250 | — | 2 | 1 | no | — |
| 98 | #13133250 | D4 | 1 | 2 | yes | — |
| 99 | #13133249 | — | 2 | 4 | no | — |
| 100 | #13133249 | — | 2 | 4 | no | — |
| 101 | #13133248 | — | 2 | 1 | no | — |
| 102 | #13133247 | — | 2 | 1 | no | — |
| 103 | #13133246 | — | 2 | 4 | no | — |
| 104 | #13133246 | — | 2 | 4 | no | — |
| 105 | #13133245 | — | 2 | 1 | no | — |
| 106 | #13133245 | — | 2 | 1 | no | — |
| 107 | #13133245 | — | 2 | 1 | no | — |
| 108 | #13133245 | D4 | 1 | 2 | yes | — |
| 109 | #13133243 | — | 2 | 1 | no | — |
| 110 | #13133242 | — | 2 | 1 | no | — |
| 111 | #13133239 | — | 2 | 2 | no | — |
| 112 | #13133239 | — | 4 | 1 | no | — |
| 113 | #13133238 | — | 2 | 4 | no | — |
| 114 | #13133238 | — | 2 | 4 | no | — |
| 115 | #13133237 | — | 2 | 1 | no | — |
| 116 | #13133237 | — | 2 | 1 | no | — |
| 117 | #13133237 | — | 2 | 1 | no | — |
| 118 | #13133237 | — | 2 | 1 | no | — |
| 119 | #13133237 | — | 4 | 1 | no | — |
| 120 | C2×Dic212 | — | 2 | 1 | no | — |
| 121 | C2×#11719925 | — | 2 | 1 | no | — |
| 122 | C2×#11719925 | — | 2 | 1 | no | — |
| 123 | C2×#11719925 | — | 2 | 1 | no | — |
| 124 | C2×#11719925 | — | 2 | 1 | no | — |
| 125 | C2×#11719925 | D4 | 1 | 2 | yes | — |
| 126 | C2×#11719925 | D4 | 1 | 2 | yes | — |
| 127 | C2×#11719925 | D4 | 1 | 1 | yes | characteristic |
| 128 | Q16×D53 | — | 2 | 4 | no | — |
| 129 | Q16×D53 | — | 2 | 4 | no | — |
| 130 | C2×#11719913 | — | 2 | 1 | no | — |
| 131 | C2×#11719923 | D4 | 1 | 1 | yes | characteristic |
| 132 | C2×#11719924 | D4 | 1 | 1 | yes | characteristic |
| 133 | C2×#11719922 | D4 | 1 | 1 | yes | characteristic |
| 134 | #13133225 | — | 2 | 1 | no | — |
| 135 | #13133225 | — | 2 | 1 | no | — |
| 136 | #13133225 | — | 2 | 1 | no | — |
| 137 | #13133225 | — | 2 | 1 | no | — |
| 138 | #13133225 | — | 2 | 1 | no | — |
| 139 | #13133225 | — | 2 | 1 | no | — |
| 140 | #13133225 | D4 | 1 | 2 | yes | — |
| 141 | #13133225 | D4 | 1 | 2 | yes | — |
| 142 | C2×#11719917 | C23 | 1 | 1 | yes | characteristic |
| 143 | C2×#11719912 | — | 2 | 1 | no | — |
| 144 | C2×#11719912 | — | 2 | 1 | no | — |
| 145 | C22×#88322 | C23 | 1 | 1 | yes | characteristic |
| 146 | C2×C8×D53 | — | 2 | 1 | no | — |
| 147 | C2×C8×D53 | — | 2 | 1 | no | — |
| 148 | #13133217 | — | 2 | 1 | no | — |
| 149 | #13133215 | — | 2 | 1 | no | — |
| 150 | #13133206 | — | 2 | 1 | no | — |
| 151 | #13133205 | — | 2 | 1 | no | — |
| 152 | #13133201 | — | 4 | 1 | no | — |
| 153 | #13133200 | — | 4 | 1 | no | — |
| 154 | #13133197 | — | 2 | 2 | no | — |
| 155 | #13133193 | — | 2 | 2 | no | — |
| 156 | #13133176 | C23 | 1 | 1 | yes | characteristic |
| 157 | #13133176 | C23 | 1 | 1 | yes | characteristic |
| 158 | #13133152 | — | 2 | 1 | no | — |
| 159 | #13133152 | — | 2 | 1 | no | — |
| 160 | #13133150 | — | 2 | 1 | no | — |
| 161 | #13133148 | — | 2 | 1 | no | — |
| 162 | #13133145 | — | 2 | 2 | no | — |
| 163 | #13133143 | — | 2 | 2 | no | — |
| 164 | #13133143 | — | 2 | 2 | no | — |
| 165 | #13133143 | — | 2 | 2 | no | — |
| 166 | #13133143 | — | 2 | 2 | no | — |
| 167 | #13133142 | — | 2 | 2 | no | — |
| 168 | #13133142 | — | 4 | 1 | no | — |
| 169 | #13133141 | — | 4 | 1 | no | — |
| 170 | #13133135 | — | 2 | 2 | no | — |
| 171 | #13133135 | — | 2 | 1 | no | — |
| 172 | #13133133 | — | 2 | 1 | no | — |
| 173 | #13133132 | — | 4 | 1 | no | — |
| 174 | #13133131 | — | 4 | 1 | no | — |
| 175 | #13133127 | — | 2 | 1 | no | — |
| 176 | C8×Dic53 | — | 2 | 1 | no | — |
| 177 | C2×#41×C53 | C23 | 1 | 1 | yes | characteristic |
| 178 | C22×Q8×C53 | C23 | 1 | 1 | yes | characteristic |
| 179 | #137×C53 | — | 2 | 2 | no | — |
| 180 | #137×C53 | — | 2 | 2 | no | — |
| 181 | C2×Q16×C53 | — | 2 | 1 | no | — |
| 182 | C2×SD16×C53 | — | 2 | 1 | no | — |
| 183 | C2×M16×C53 | C23 | 1 | 1 | yes | characteristic |
| 184 | C2×M16×C53 | C23 | 1 | 1 | yes | characteristic |
| 185 | C2×M16×C53 | C23 | 1 | 1 | yes | characteristic |
| 186 | C2×M16×C53 | C23 | 1 | 1 | yes | characteristic |
| 187 | #117×C53 | C23 | 1 | 1 | yes | characteristic |
| 188 | #108×C53 | — | 2 | 2 | no | — |
| 189 | #104×C53 | — | 2 | 2 | no | — |
| 190 | #103×C53 | — | 2 | 2 | no | — |
| 191 | #101×C53 | — | 2 | 2 | no | — |
| 192 | #101×C53 | — | 2 | 1 | no | — |
| 193 | #100×C53 | — | 2 | 1 | no | — |
| 194 | #41×C53 | — | 2 | 1 | no | — |
| 195 | #41×C53 | — | 2 | 1 | no | — |
| 196 | #41×C53 | — | 2 | 1 | no | — |
| 197 | #41×C53 | — | 2 | 1 | no | — |
| 198 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 199 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 200 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 201 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 202 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 203 | C2×Q8×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 204 | C2×Q8×C53 | C2×D4 | 1 | 2 | yes | — |
| 205 | C2×D4×C53 | — | 2 | 1 | no | — |
| 206 | C2×D4×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 207 | C22×C4×C53 | — | 2 | 1 | no | — |
| 208 | C22×C4×C53 | — | 2 | 1 | no | — |
| 209 | C22×C4×C53 | C24 | 1 | 1 | yes | characteristic |
| 210 | C2×C22⋊D53 | — | 2 | 1 | no | — |
| 211 | C2×C22⋊D53 | — | 2 | 1 | no | — |
| 212 | C2×C22⋊D53 | — | 2 | 1 | no | — |
| 213 | C2×C22⋊D53 | — | 4 | 1 | no | — |
| 214 | C22×Dic53 | — | 2 | 1 | no | — |
| 215 | C22×Dic53 | — | 4 | 1 | no | — |
| 216 | #11719949 | — | 2 | 4 | no | — |
| 217 | #11719949 | — | 4 | 2 | no | — |
| 218 | #11719949 | — | 4 | 2 | no | — |
| 219 | #11719949 | — | 4 | 2 | no | — |
| 220 | Q8×D53 | — | 2 | 4 | no | — |
| 221 | Q8×D53 | — | 2 | 4 | no | — |
| 222 | Q8×D53 | — | 4 | 2 | no | — |
| 223 | Q8×D53 | — | 4 | 2 | no | — |
| 224 | Q8×D53 | — | 4 | 2 | no | — |
| 225 | Q8×D53 | — | 4 | 2 | no | — |
| 226 | #11719947 | — | 2 | 4 | no | — |
| 227 | #11719947 | — | 4 | 2 | no | — |
| 228 | #11719947 | — | 4 | 4 | no | — |
| 229 | #11719947 | — | 4 | 4 | no | — |
| 230 | #11719945 | — | 2 | 1 | no | — |
| 231 | #11719945 | — | 2 | 1 | no | — |
| 232 | #11719945 | — | 2 | 1 | no | — |
| 233 | #11719945 | — | 2 | 1 | no | — |
| 234 | #11719945 | — | 2 | 1 | no | — |
| 235 | #11719945 | — | 2 | 1 | no | — |
| 236 | #11719945 | — | 2 | 1 | no | — |
| 237 | #11719945 | — | 2 | 1 | no | — |
| 238 | #11719945 | — | 2 | 1 | no | — |
| 239 | #11719945 | — | 2 | 1 | no | — |
| 240 | #11719945 | — | 4 | 2 | no | — |
| 241 | #11719945 | — | 4 | 4 | no | — |
| 242 | #11719945 | — | 4 | 4 | no | — |
| 243 | #11719945 | — | 4 | 2 | no | — |
| 244 | #11719945 | C2×D4 | 1 | 2 | yes | — |
| 245 | #11719945 | C2×D4 | 1 | 2 | yes | — |
| 246 | C2×D212 | — | 4 | 1 | no | — |
| 247 | C2×D212 | C2×D4 | 1 | 1 | yes | characteristic |
| 248 | C2×D212 | C2×D4 | 1 | 1 | yes | characteristic |
| 249 | C2×D212 | #41 | 1 | 1 | yes | characteristic |
| 250 | C2×C4×D53 | — | 2 | 1 | no | — |
| 251 | C2×C4×D53 | — | 2 | 1 | no | — |
| 252 | C2×C4×D53 | — | 2 | 1 | no | — |
| 253 | C2×C4×D53 | — | 4 | 1 | no | — |
| 254 | C2×C4×D53 | — | 4 | 1 | no | — |
| 255 | C2×C4×D53 | — | 4 | 1 | no | — |
| 256 | C2×Dic106 | — | 2 | 1 | no | — |
| 257 | C2×Dic106 | — | 2 | 1 | no | — |
| 258 | C2×Dic106 | — | 2 | 1 | no | — |
| 259 | C2×Dic106 | — | 2 | 1 | no | — |
| 260 | C2×Dic106 | — | 2 | 1 | no | — |
| 261 | C2×Dic106 | — | 4 | 2 | no | — |
| 262 | C2×Dic106 | — | 4 | 1 | no | — |
| 263 | C2×Dic106 | — | 4 | 1 | no | — |
| 264 | C2×Dic106 | — | 4 | 2 | no | — |
| 265 | C2×Dic106 | C2×D4 | 1 | 1 | yes | characteristic |
| 266 | C2×Dic106 | C2×D4 | 1 | 2 | yes | — |
| 267 | C2×Dic106 | C2×D4 | 1 | 1 | yes | characteristic |
| 268 | C2×Dic106 | #41 | 1 | 1 | yes | characteristic |
| 269 | Q16×C53 | — | 2 | 4 | no | — |
| 270 | SD16×C53 | — | 2 | 4 | no | — |
| 271 | M16×C53 | — | 2 | 1 | no | — |
| 272 | M16×C53 | — | 2 | 1 | no | — |
| 273 | M16×C53 | — | 2 | 1 | no | — |
| 274 | M16×C53 | — | 2 | 1 | no | — |
| 275 | M16×C53 | — | 2 | 1 | no | — |
| 276 | M16×C53 | — | 2 | 1 | no | — |
| 277 | M16×C53 | C2×D4 | 1 | 2 | yes | — |
| 278 | M16×C53 | C2×D4 | 1 | 2 | yes | — |
| 279 | C2×C8×C53 | — | 2 | 1 | no | — |
| 280 | C2×C8×C53 | — | 2 | 1 | no | — |
| 281 | C2×C8×C53 | — | 2 | 1 | no | — |
| 282 | C2×C8×C53 | — | 2 | 1 | no | — |
| 283 | C4⋊C4×C53 | — | 2 | 1 | no | — |
| 284 | C22⋊C4×C53 | — | 2 | 1 | no | — |
| 285 | C42×C53 | — | 2 | 1 | no | — |
| 286 | C22⋊Dic53 | — | 2 | 1 | no | — |
| 287 | C22⋊Dic53 | — | 2 | 1 | no | — |
| 288 | #11719925 | — | 2 | 1 | no | — |
| 289 | #11719925 | — | 2 | 1 | no | — |
| 290 | #11719925 | — | 2 | 2 | no | — |
| 291 | #11719925 | — | 2 | 2 | no | — |
| 292 | #11719925 | — | 2 | 2 | no | — |
| 293 | #11719925 | — | 2 | 2 | no | — |
| 294 | #11719925 | — | 4 | 1 | no | — |
| 295 | #11719924 | — | 2 | 1 | no | — |
| 296 | #11719924 | — | 2 | 1 | no | — |
| 297 | #11719924 | — | 4 | 1 | no | — |
| 298 | #11719923 | — | 2 | 1 | no | — |
| 299 | #11719923 | — | 2 | 1 | no | — |
| 300 | #11719923 | — | 4 | 1 | no | — |
| 301 | #11719922 | — | 2 | 1 | no | — |
| 302 | #11719922 | — | 2 | 1 | no | — |
| 303 | #11719922 | — | 4 | 1 | no | — |
| 304 | #11719921 | — | 4 | 2 | no | — |
| 305 | #11719921 | — | 4 | 2 | no | — |
| 306 | C4⋊Dic53 | — | 2 | 1 | no | — |
| 307 | C4⋊Dic53 | — | 2 | 1 | no | — |
| 308 | C4⋊Dic53 | — | 4 | 2 | no | — |
| 309 | #11719919 | — | 4 | 2 | no | — |
| 310 | C4×Dic53 | — | 2 | 1 | no | — |
| 311 | C4×Dic53 | — | 2 | 1 | no | — |
| 312 | #11719917 | — | 2 | 1 | no | — |
| 313 | #11719917 | — | 2 | 1 | no | — |
| 314 | C2×#88322 | — | 2 | 1 | no | — |
| 315 | C2×#88322 | C2×D4 | 1 | 1 | yes | characteristic |
| 316 | C2×#88322 | C2×D4 | 1 | 1 | yes | characteristic |
| 317 | C2×#88322 | C2×D4 | 1 | 1 | yes | characteristic |
| 318 | C2×#88322 | C2×D4 | 1 | 1 | yes | characteristic |
| 319 | C2×#88322 | C2×D4 | 1 | 1 | yes | characteristic |
| 320 | C2×#88322 | C2×D4 | 1 | 1 | yes | characteristic |
| 321 | Dic212 | — | 2 | 4 | no | — |
| 322 | Dic212 | — | 2 | 2 | no | — |
| 323 | Dic212 | — | 4 | 1 | no | — |
| 324 | D424 | — | 2 | 2 | no | — |
| 325 | D424 | — | 4 | 1 | no | — |
| 326 | #11719913 | — | 2 | 4 | no | — |
| 327 | #11719913 | — | 2 | 2 | no | — |
| 328 | #11719913 | — | 2 | 2 | no | — |
| 329 | #11719913 | — | 4 | 1 | no | — |
| 330 | #11719913 | — | 4 | 1 | no | — |
| 331 | #11719912 | — | 2 | 2 | no | — |
| 332 | #11719912 | — | 2 | 2 | no | — |
| 333 | #11719912 | — | 4 | 1 | no | — |
| 334 | #11719912 | — | 4 | 1 | no | — |
| 335 | C8×D53 | — | 2 | 2 | no | — |
| 336 | C8×D53 | — | 2 | 2 | no | — |
| 337 | C8×D53 | — | 4 | 1 | no | — |
| 338 | C8×D53 | — | 4 | 1 | no | — |
| 339 | C23×C53 | — | 2 | 1 | no | — |
| 340 | C23×C53 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 341 | C22×D53 | — | 2 | 1 | no | — |
| 342 | C22×D53 | — | 2 | 1 | no | — |
| 343 | C22×D53 | — | 2 | 1 | no | — |
| 344 | Q8×C53 | — | 2 | 1 | no | — |
| 345 | Q8×C53 | — | 2 | 2 | no | — |
| 346 | Q8×C53 | — | 2 | 1 | no | — |
| 347 | Q8×C53 | — | 2 | 2 | no | — |
| 348 | Q8×C53 | — | 4 | 1 | no | — |
| 349 | Q8×C53 | — | 4 | 1 | no | — |
| 350 | D4×C53 | — | 2 | 1 | no | — |
| 351 | D4×C53 | — | 2 | 1 | no | — |
| 352 | D4×C53 | — | 4 | 1 | no | — |
| 353 | D4×C53 | — | 4 | 1 | no | — |
| 354 | C2×C4×C53 | — | 2 | 2 | no | — |
| 355 | C2×C4×C53 | — | 2 | 1 | no | — |
| 356 | C2×C4×C53 | — | 4 | 1 | no | — |
| 357 | C2×C4×C53 | — | 4 | 1 | no | — |
| 358 | C2×C4×C53 | — | 4 | 1 | no | — |
| 359 | C2×C4×C53 | — | 4 | 1 | no | — |
| 360 | C2×C4×C53 | — | 4 | 1 | no | — |
| 361 | C2×C4×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 362 | C2×C4×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 363 | C2×C4×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 364 | C2×C4×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 365 | C2×C4×C53 | C2×#41 | 1 | 1 | yes | characteristic |
| 366 | C2×C4×C53 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 367 | C22⋊D53 | — | 2 | 2 | no | — |
| 368 | C22⋊D53 | — | 2 | 2 | no | — |
| 369 | C22⋊D53 | — | 4 | 4 | no | — |
| 370 | C22⋊D53 | — | 4 | 1 | no | — |
| 371 | C22⋊D53 | — | 4 | 1 | no | — |
| 372 | C22⋊D53 | — | 4 | 1 | no | — |
| 373 | C22⋊D53 | — | 4 | 1 | no | — |
| 374 | C2×Dic53 | — | 2 | 1 | no | — |
| 375 | C2×Dic53 | — | 2 | 2 | no | — |
| 376 | C2×Dic53 | — | 2 | 1 | no | — |
| 377 | C2×Dic53 | — | 2 | 1 | no | — |
| 378 | C2×Dic53 | — | 4 | 4 | no | — |
| 379 | C2×Dic53 | — | 4 | 1 | no | — |
| 380 | C2×Dic53 | — | 4 | 1 | no | — |
| 381 | C2×Dic53 | — | 4 | 1 | no | — |
| 382 | C2×Dic53 | — | 4 | 1 | no | — |
| 383 | D212 | — | 2 | 1 | no | — |
| 384 | D212 | — | 2 | 1 | no | — |
| 385 | D212 | — | 2 | 1 | no | — |
| 386 | D212 | — | 2 | 1 | no | — |
| 387 | D212 | — | 2 | 1 | no | — |
| 388 | D212 | — | 4 | 4 | no | — |
| 389 | D212 | #121 | 1 | 2 | yes | — |
| 390 | C4×D53 | — | 2 | 2 | no | — |
| 391 | C4×D53 | — | 2 | 2 | no | — |
| 392 | C4×D53 | — | 4 | 4 | no | — |
| 393 | C4×D53 | — | 4 | 4 | no | — |
| 394 | C4×D53 | — | 4 | 4 | no | — |
| 395 | C4×D53 | — | 4 | 1 | no | — |
| 396 | C4×D53 | — | 4 | 1 | no | — |
| 397 | C4×D53 | — | 4 | 1 | no | — |
| 398 | C4×D53 | — | 4 | 1 | no | — |
| 399 | Dic106 | — | 2 | 1 | no | — |
| 400 | Dic106 | — | 2 | 2 | no | — |
| 401 | Dic106 | — | 2 | 1 | no | — |
| 402 | Dic106 | — | 2 | 1 | no | — |
| 403 | Dic106 | — | 2 | 1 | no | — |
| 404 | Dic106 | — | 2 | 1 | no | — |
| 405 | Dic106 | — | 2 | 2 | no | — |
| 406 | Dic106 | — | 4 | 4 | no | — |
| 407 | Dic106 | — | 4 | 4 | no | — |
| 408 | Dic106 | — | 4 | 1 | no | — |
| 409 | Dic106 | — | 4 | 1 | no | — |
| 410 | Dic106 | #121 | 1 | 2 | yes | — |
| 411 | C8×C53 | — | 2 | 2 | no | — |
| 412 | C8×C53 | — | 2 | 2 | no | — |
| 413 | C8×C53 | — | 4 | 1 | no | — |
| 414 | C8×C53 | — | 4 | 1 | no | — |
| 415 | #88322 | — | 4 | 1 | no | — |
| 416 | #88322 | #120 | 1 | 1 | yes | characteristic |
| 417 | #88322 | #120 | 1 | 1 | yes | characteristic |
| 418 | #88322 | #120 | 1 | 1 | yes | characteristic |
| 419 | #88322 | #120 | 1 | 1 | yes | characteristic |
| 420 | #24296 | — | 53 | 1 | no | maximal, Sylow |
| 421 | C22×C53 | — | 4 | 1 | no | — |
| 422 | C22×C53 | — | 4 | 1 | no | — |
| 423 | C22×C53 | — | 8 | 1 | no | — |
| 424 | C22×C53 | #535 | 1 | 1 | yes | characteristic |
| 425 | C22×C53 | D42 | 1 | 1 | yes | characteristic |
| 426 | C22×C53 | #546 | 1 | 1 | yes | characteristic |
| 427 | C2×D53 | — | 2 | 2 | no | — |
| 428 | C2×D53 | — | 4 | 2 | no | — |
| 429 | C2×D53 | — | 4 | 2 | no | — |
| 430 | C2×D53 | — | 4 | 1 | no | — |
| 431 | C2×D53 | — | 4 | 1 | no | — |
| 432 | C2×D53 | — | 8 | 1 | no | — |
| 433 | C4×C53 | — | 4 | 1 | no | — |
| 434 | C4×C53 | — | 4 | 2 | no | — |
| 435 | C4×C53 | — | 8 | 1 | no | — |
| 436 | C4×C53 | C2×#120 | 1 | 1 | yes | characteristic |
| 437 | C4×C53 | C2×#121 | 1 | 1 | yes | characteristic |
| 438 | C4×C53 | D42 | 1 | 1 | yes | characteristic |
| 439 | C4×C53 | #546 | 1 | 1 | yes | characteristic |
| 440 | Dic53 | — | 2 | 2 | no | — |
| 441 | Dic53 | — | 4 | 1 | no | — |
| 442 | Dic53 | — | 4 | 2 | no | — |
| 443 | Dic53 | — | 4 | 1 | no | — |
| 444 | Dic53 | — | 8 | 1 | no | — |
| 445 | Dic53 | — | 8 | 1 | no | — |
| 446 | C2×#578 | — | 53 | 1 | no | — |
| 447 | #3067 | — | 53 | 1 | no | — |
| 448 | #3059 | — | 53 | 1 | no | — |
| 449 | #3020 | — | 53 | 1 | no | — |
| 450 | #3020 | — | 53 | 1 | no | — |
| 451 | #2955 | — | 53 | 1 | no | — |
| 452 | #2049 | — | 53 | 1 | no | — |
| 453 | #2049 | D53 | 1 | 1 | yes | characteristic, complemented |
| 454 | #2009 | — | 53 | 1 | no | — |
| 455 | #2009 | — | 53 | 1 | no | — |
| 456 | #1979 | — | 53 | 1 | no | — |
| 457 | #1976 | — | 53 | 1 | no | — |
| 458 | #1814 | — | 53 | 1 | no | — |
| 459 | #1796 | — | 53 | 1 | no | — |
| 460 | #1796 | — | 53 | 1 | no | — |
| 461 | C2×C53 | — | 2 | 1 | no | — |
| 462 | C2×C53 | — | 2 | 1 | no | — |
| 463 | C2×C53 | — | 2 | 1 | no | — |
| 464 | C2×C53 | — | 8 | 1 | no | — |
| 465 | C2×C53 | #2408 | 1 | 1 | yes | characteristic |
| 466 | D53 | — | 4 | 2 | no | — |
| 467 | D53 | — | 8 | 1 | no | — |
| 468 | D53 | — | 8 | 1 | no | — |
| 469 | C2×2−1+4 | — | 53 | 1 | no | — |
| 470 | C2×2−1+4 | — | 53 | 1 | no | — |
| 471 | #578 | — | 106 | 2 | no | — |
| 472 | #578 | — | 106 | 2 | no | — |
| 473 | #578 | — | 106 | 2 | no | — |
| 474 | #578 | — | 106 | 2 | no | — |
| 475 | #575 | — | 53 | 1 | no | — |
| 476 | #575 | — | 53 | 1 | no | — |
| 477 | #575 | — | 53 | 1 | no | — |
| 478 | C2×#137 | — | 53 | 1 | no | — |
| 479 | C2×#137 | — | 106 | 1 | no | — |
| 480 | C2×#137 | — | 106 | 1 | no | — |
| 481 | C2×#137 | C2×D53 | 1 | 1 | yes | characteristic |
| 482 | C2×#135 | — | 53 | 1 | no | — |
| 483 | C2×#135 | — | 106 | 1 | no | — |
| 484 | C22×Q16 | — | 53 | 1 | no | — |
| 485 | C22×Q16 | — | 106 | 1 | no | — |
| 486 | C2×#131 | — | 53 | 1 | no | — |
| 487 | C2×#131 | — | 53 | 1 | no | — |
| 488 | #536 | — | 53 | 1 | no | — |
| 489 | #536 | — | 53 | 1 | no | — |
| 490 | #473 | — | 106 | 1 | no | — |
| 491 | #472 | — | 106 | 1 | no | — |
| 492 | #471 | — | 106 | 1 | no | — |
| 493 | #471 | — | 106 | 1 | no | — |
| 494 | #470 | — | 106 | 2 | no | — |
| 495 | #467 | — | 106 | 2 | no | — |
| 496 | #456 | — | 106 | 2 | no | — |
| 497 | #456 | — | 106 | 2 | no | — |
| 498 | #454 | — | 106 | 2 | no | — |
| 499 | #454 | — | 106 | 2 | no | — |
| 500 | #444 | — | 106 | 2 | no | — |
| 501 | #443 | — | 106 | 2 | no | — |
| 502 | #430 | C2×D53 | 1 | 1 | yes | characteristic |
| 503 | C2×#108 | — | 53 | 1 | no | — |
| 504 | #427 | — | 53 | 1 | no | — |
| 505 | #421 | — | 53 | 1 | no | — |
| 506 | #421 | — | 53 | 1 | no | — |
| 507 | #421 | — | 53 | 1 | no | — |
| 508 | #421 | — | 53 | 1 | no | — |
| 509 | #421 | — | 53 | 1 | no | — |
| 510 | #421 | C2×D53 | 1 | 1 | yes | characteristic |
| 511 | #419 | — | 53 | 1 | no | — |
| 512 | #419 | — | 53 | 1 | no | — |
| 513 | #419 | — | 53 | 1 | no | — |
| 514 | #419 | C2×D53 | 1 | 1 | yes | characteristic |
| 515 | #413 | — | 53 | 1 | no | — |
| 516 | #413 | C2×D53 | 1 | 1 | yes | characteristic |
| 517 | C2×#101 | — | 53 | 1 | no | — |
| 518 | C2×#101 | C2×D53 | 1 | 1 | yes | characteristic |
| 519 | #410 | — | 53 | 1 | no | — |
| 520 | #410 | — | 53 | 1 | no | — |
| 521 | #405 | — | 53 | 1 | no | — |
| 522 | #344 | — | 53 | 1 | no | — |
| 523 | #344 | C2×D53 | 1 | 1 | yes | characteristic |
| 524 | C53 | #24296 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 525 | 2−1+4 | — | 106 | 2 | no | — |
| 526 | 2−1+4 | — | 106 | 2 | no | — |
| 527 | 2−1+4 | — | 106 | 2 | no | — |
| 528 | 2−1+4 | — | 106 | 2 | no | — |
| 529 | 2−1+4 | — | 106 | 2 | no | — |
| 530 | 2−1+4 | — | 106 | 2 | no | — |
| 531 | 2−1+4 | — | 212 | 1 | no | — |
| 532 | 2−1+4 | — | 212 | 1 | no | — |
| 533 | C2×#41 | — | 53 | 1 | no | — |
| 534 | C2×#41 | — | 53 | 1 | no | — |
| 535 | C2×#41 | — | 53 | 1 | no | — |
| 536 | C2×#41 | — | 106 | 1 | no | — |
| 537 | C2×#41 | — | 106 | 1 | no | — |
| 538 | C2×#41 | — | 106 | 1 | no | — |
| 539 | C2×#41 | — | 106 | 1 | no | — |
| 540 | C2×#41 | — | 212 | 1 | no | — |
| 541 | C2×#41 | — | 212 | 1 | no | — |
| 542 | C2×#41 | C22×D53 | 1 | 1 | yes | characteristic |
| 543 | C22×Q8 | — | 53 | 1 | no | — |
| 544 | C22×Q8 | — | 106 | 1 | no | — |
| 545 | C22×Q8 | — | 106 | 1 | no | — |
| 546 | C22×Q8 | — | 106 | 1 | no | — |
| 547 | C22×Q8 | — | 106 | 1 | no | — |
| 548 | C22×Q8 | C22×D53 | 1 | 1 | yes | characteristic |
| 549 | #137 | — | 2 | 2 | no | — |
| 550 | #137 | — | 2 | 2 | no | — |
| 551 | #137 | — | 53 | 2 | no | — |
| 552 | #137 | — | 106 | 2 | no | — |
| 553 | #137 | — | 106 | 1 | no | — |
| 554 | #137 | — | 106 | 1 | no | — |
| 555 | #137 | — | 106 | 1 | no | — |
| 556 | #137 | — | 106 | 4 | no | — |
| 557 | #137 | — | 106 | 4 | no | — |
| 558 | #137 | — | 106 | 4 | no | — |
| 559 | #137 | — | 106 | 4 | no | — |
| 560 | #137 | — | 106 | 1 | no | — |
| 561 | #137 | — | 106 | 1 | no | — |
| 562 | #137 | — | 106 | 2 | no | — |
| 563 | AGL(1,ℤ/8) | — | 53 | 2 | no | — |
| 564 | AGL(1,ℤ/8) | — | 106 | 1 | no | — |
| 565 | AGL(1,ℤ/8) | — | 106 | 1 | no | — |
| 566 | AGL(1,ℤ/8) | — | 106 | 1 | no | — |
| 567 | AGL(1,ℤ/8) | — | 106 | 1 | no | — |
| 568 | AGL(1,ℤ/8) | — | 106 | 1 | no | — |
| 569 | #135 | — | 106 | 2 | no | — |
| 570 | #135 | — | 106 | 1 | no | — |
| 571 | #135 | — | 106 | 1 | no | — |
| 572 | #135 | — | 106 | 1 | no | — |
| 573 | #135 | — | 106 | 1 | no | — |
| 574 | #135 | — | 106 | 4 | no | — |
| 575 | #135 | — | 106 | 4 | no | — |
| 576 | #135 | — | 212 | 1 | no | — |
| 577 | #135 | — | 212 | 1 | no | — |
| 578 | C2×Q16 | — | 2 | 1 | no | — |
| 579 | C2×Q16 | — | 53 | 2 | no | — |
| 580 | C2×Q16 | — | 53 | 2 | no | — |
| 581 | C2×Q16 | — | 53 | 1 | no | — |
| 582 | C2×Q16 | — | 106 | 1 | no | — |
| 583 | C2×Q16 | — | 106 | 1 | no | — |
| 584 | C2×Q16 | — | 106 | 1 | no | — |
| 585 | C2×Q16 | — | 106 | 1 | no | — |
| 586 | C2×Q16 | — | 106 | 1 | no | — |
| 587 | C2×Q16 | — | 106 | 4 | no | — |
| 588 | C2×Q16 | — | 106 | 4 | no | — |
| 589 | C2×SD16 | — | 2 | 1 | no | — |
| 590 | C2×SD16 | — | 53 | 1 | no | — |
| 591 | C2×SD16 | — | 53 | 1 | no | — |
| 592 | C2×SD16 | — | 106 | 1 | no | — |
| 593 | C2×D8 | — | 53 | 1 | no | — |
| 594 | #131 | — | 53 | 2 | no | — |
| 595 | #131 | — | 53 | 2 | no | — |
| 596 | #131 | — | 106 | 1 | no | — |
| 597 | #131 | — | 106 | 1 | no | — |
| 598 | #131 | — | 106 | 1 | no | — |
| 599 | #131 | — | 106 | 1 | no | — |
| 600 | #131 | — | 106 | 1 | no | — |
| 601 | #131 | — | 106 | 1 | no | — |
| 602 | C2×M16 | — | 53 | 1 | no | — |
| 603 | C2×M16 | — | 106 | 1 | no | — |
| 604 | C2×M16 | — | 106 | 1 | no | — |
| 605 | C2×M16 | C22×D53 | 1 | 1 | yes | characteristic |
| 606 | C2×M16 | C22×D53 | 1 | 1 | yes | characteristic |
| 607 | C2×M16 | C22×D53 | 1 | 1 | yes | characteristic |
| 608 | C2×M16 | C22×D53 | 1 | 1 | yes | characteristic |
| 609 | C22×C8 | — | 53 | 1 | no | — |
| 610 | C22×C8 | — | 106 | 1 | no | — |
| 611 | C22×C8 | — | 106 | 1 | no | — |
| 612 | C4⋊Q8 | — | 106 | 1 | no | — |
| 613 | C4⋊Q8 | — | 106 | 1 | no | — |
| 614 | #124 | — | 106 | 1 | no | — |
| 615 | #124 | — | 106 | 1 | no | — |
| 616 | #123 | — | 212 | 1 | no | — |
| 617 | #123 | — | 212 | 1 | no | — |
| 618 | C22⋊Q8 | — | 106 | 2 | no | — |
| 619 | C22⋊Q8 | — | 106 | 2 | no | — |
| 620 | #117 | — | 53 | 1 | no | — |
| 621 | #117 | — | 53 | 1 | no | — |
| 622 | #117 | C22×D53 | 1 | 1 | yes | characteristic |
| 623 | #108 | — | 2 | 2 | no | — |
| 624 | #108 | — | 106 | 1 | no | — |
| 625 | #108 | — | 106 | 1 | no | — |
| 626 | #107 | — | 106 | 1 | no | — |
| 627 | #106 | — | 106 | 1 | no | — |
| 628 | #104 | — | 2 | 2 | no | — |
| 629 | #104 | — | 106 | 2 | no | — |
| 630 | #104 | — | 106 | 2 | no | — |
| 631 | #104 | — | 106 | 2 | no | — |
| 632 | #104 | — | 106 | 2 | no | — |
| 633 | #104 | — | 106 | 2 | no | — |
| 634 | #103 | — | 2 | 2 | no | — |
| 635 | #103 | — | 106 | 2 | no | — |
| 636 | #103 | — | 212 | 1 | no | — |
| 637 | #103 | — | 212 | 1 | no | — |
| 638 | #101 | — | 2 | 1 | no | — |
| 639 | #101 | — | 2 | 2 | no | — |
| 640 | #101 | — | 106 | 1 | no | — |
| 641 | #101 | — | 106 | 2 | no | — |
| 642 | #100 | — | 2 | 1 | no | — |
| 643 | #100 | — | 106 | 1 | no | — |
| 644 | #99 | — | 212 | 1 | no | — |
| 645 | #99 | — | 212 | 1 | no | — |
| 646 | #97 | — | 106 | 1 | no | — |
| 647 | C4×C8 | — | 106 | 1 | no | — |
| 648 | #41 | — | 2 | 1 | no | — |
| 649 | #41 | — | 2 | 1 | no | — |
| 650 | #41 | — | 2 | 1 | no | — |
| 651 | #41 | — | 2 | 1 | no | — |
| 652 | #41 | — | 53 | 2 | no | — |
| 653 | #41 | — | 53 | 2 | no | — |
| 654 | #41 | — | 106 | 1 | no | — |
| 655 | #41 | — | 106 | 1 | no | — |
| 656 | #41 | — | 106 | 4 | no | — |
| 657 | #41 | — | 106 | 4 | no | — |
| 658 | #41 | — | 106 | 1 | no | — |
| 659 | #41 | — | 106 | 1 | no | — |
| 660 | #41 | — | 106 | 1 | no | — |
| 661 | #41 | — | 106 | 1 | no | — |
| 662 | #41 | — | 106 | 1 | no | — |
| 663 | #41 | — | 106 | 1 | no | — |
| 664 | #41 | — | 106 | 1 | no | — |
| 665 | #41 | — | 106 | 1 | no | — |
| 666 | #41 | — | 212 | 4 | no | — |
| 667 | #41 | — | 212 | 2 | no | — |
| 668 | #41 | — | 212 | 2 | no | — |
| 669 | #41 | — | 212 | 4 | no | — |
| 670 | #41 | — | 212 | 2 | no | — |
| 671 | #41 | — | 212 | 4 | no | — |
| 672 | #41 | — | 212 | 2 | no | — |
| 673 | #41 | — | 212 | 4 | no | — |
| 674 | #41 | — | 212 | 2 | no | — |
| 675 | #41 | — | 212 | 2 | no | — |
| 676 | C2×Q8 | — | 2 | 1 | no | — |
| 677 | C2×Q8 | — | 2 | 1 | no | — |
| 678 | C2×Q8 | — | 2 | 1 | no | — |
| 679 | C2×Q8 | — | 2 | 1 | no | — |
| 680 | C2×Q8 | — | 2 | 1 | no | — |
| 681 | C2×Q8 | — | 53 | 1 | no | — |
| 682 | C2×Q8 | — | 53 | 2 | no | — |
| 683 | C2×Q8 | — | 53 | 1 | no | — |
| 684 | C2×Q8 | — | 53 | 1 | no | — |
| 685 | C2×Q8 | — | 106 | 1 | no | — |
| 686 | C2×Q8 | — | 106 | 4 | no | — |
| 687 | C2×Q8 | — | 106 | 4 | no | — |
| 688 | C2×Q8 | — | 106 | 1 | no | — |
| 689 | C2×Q8 | — | 106 | 1 | no | — |
| 690 | C2×Q8 | — | 106 | 1 | no | — |
| 691 | C2×Q8 | — | 106 | 1 | no | — |
| 692 | C2×Q8 | — | 212 | 1 | no | — |
| 693 | C2×Q8 | — | 212 | 1 | no | — |
| 694 | C2×Q8 | — | 212 | 2 | no | — |
| 695 | C2×Q8 | — | 212 | 2 | no | — |
| 696 | C2×Q8 | — | 212 | 2 | no | — |
| 697 | C2×Q8 | — | 212 | 2 | no | — |
| 698 | C2×Q8 | — | 212 | 2 | no | — |
| 699 | C2×Q8 | — | 212 | 2 | no | — |
| 700 | C2×Q8 | D4×D53 | 1 | 1 | yes | characteristic |
| 701 | C2×Q8 | D4×D53 | 1 | 2 | yes | — |
| 702 | C2×D4 | — | 2 | 1 | no | — |
| 703 | C2×D4 | — | 53 | 1 | no | — |
| 704 | C2×D4 | — | 53 | 1 | no | — |
| 705 | C2×D4 | — | 53 | 1 | no | — |
| 706 | C2×D4 | — | 106 | 1 | no | — |
| 707 | C2×D4 | — | 106 | 1 | no | — |
| 708 | C2×D4 | — | 106 | 1 | no | — |
| 709 | C2×D4 | — | 212 | 1 | no | — |
| 710 | C2×D4 | — | 212 | 1 | no | — |
| 711 | C2×D4 | D4×D53 | 1 | 1 | yes | characteristic |
| 712 | C22×C4 | — | 2 | 1 | no | — |
| 713 | C22×C4 | — | 2 | 1 | no | — |
| 714 | C22×C4 | — | 106 | 1 | no | — |
| 715 | C22×C4 | — | 106 | 1 | no | — |
| 716 | C22×C4 | — | 106 | 1 | no | — |
| 717 | C22×C4 | — | 106 | 1 | no | — |
| 718 | C22×C4 | — | 212 | 1 | no | — |
| 719 | C22×C4 | — | 212 | 1 | no | — |
| 720 | C22×C4 | — | 212 | 1 | no | — |
| 721 | C22×C4 | — | 212 | 1 | no | — |
| 722 | C22×C4 | C23×D53 | 1 | 1 | yes | characteristic |
| 723 | Q16 | — | 2 | 4 | no | — |
| 724 | Q16 | — | 106 | 2 | no | — |
| 725 | Q16 | — | 106 | 4 | no | — |
| 726 | Q16 | — | 106 | 2 | no | — |
| 727 | Q16 | — | 106 | 1 | no | — |
| 728 | Q16 | — | 106 | 2 | no | — |
| 729 | Q16 | — | 106 | 1 | no | — |
| 730 | Q16 | — | 106 | 2 | no | — |
| 731 | Q16 | — | 106 | 2 | no | — |
| 732 | Q16 | — | 212 | 1 | no | — |
| 733 | Q16 | — | 212 | 1 | no | — |
| 734 | SD16 | — | 2 | 4 | no | — |
| 735 | SD16 | — | 106 | 2 | no | — |
| 736 | SD16 | — | 106 | 2 | no | — |
| 737 | SD16 | — | 106 | 4 | no | — |
| 738 | SD16 | — | 106 | 1 | no | — |
| 739 | SD16 | — | 106 | 1 | no | — |
| 740 | SD16 | — | 106 | 1 | no | — |
| 741 | SD16 | — | 106 | 1 | no | — |
| 742 | SD16 | — | 212 | 1 | no | — |
| 743 | SD16 | — | 212 | 1 | no | — |
| 744 | SD16 | — | 212 | 1 | no | — |
| 745 | SD16 | — | 212 | 1 | no | — |
| 746 | D8 | — | 106 | 2 | no | — |
| 747 | D8 | — | 106 | 1 | no | — |
| 748 | D8 | — | 106 | 1 | no | — |
| 749 | D8 | — | 212 | 1 | no | — |
| 750 | D8 | — | 212 | 1 | no | — |
| 751 | M16 | — | 2 | 1 | no | — |
| 752 | M16 | — | 2 | 1 | no | — |
| 753 | M16 | — | 2 | 1 | no | — |
| 754 | M16 | — | 2 | 1 | no | — |
| 755 | M16 | — | 2 | 1 | no | — |
| 756 | M16 | — | 2 | 1 | no | — |
| 757 | M16 | — | 106 | 2 | no | — |
| 758 | M16 | — | 106 | 2 | no | — |
| 759 | M16 | — | 106 | 1 | no | — |
| 760 | M16 | — | 106 | 1 | no | — |
| 761 | M16 | — | 212 | 1 | no | — |
| 762 | M16 | — | 212 | 1 | no | — |
| 763 | M16 | D4×D53 | 1 | 2 | yes | — |
| 764 | M16 | D4×D53 | 1 | 2 | yes | — |
| 765 | C2×C8 | — | 2 | 1 | no | — |
| 766 | C2×C8 | — | 2 | 1 | no | — |
| 767 | C2×C8 | — | 2 | 1 | no | — |
| 768 | C2×C8 | — | 2 | 1 | no | — |
| 769 | C2×C8 | — | 53 | 1 | no | — |
| 770 | C2×C8 | — | 53 | 1 | no | — |
| 771 | C2×C8 | — | 53 | 1 | no | — |
| 772 | C2×C8 | — | 53 | 1 | no | — |
| 773 | C2×C8 | — | 53 | 1 | no | — |
| 774 | C2×C8 | — | 53 | 1 | no | — |
| 775 | C2×C8 | — | 106 | 2 | no | — |
| 776 | C2×C8 | — | 106 | 2 | no | — |
| 777 | C2×C8 | — | 106 | 1 | no | — |
| 778 | C2×C8 | — | 212 | 1 | no | — |
| 779 | C2×C8 | — | 212 | 1 | no | — |
| 780 | C4⋊C4 | — | 2 | 1 | no | — |
| 781 | C4⋊C4 | — | 106 | 1 | no | — |
| 782 | C4⋊C4 | — | 106 | 1 | no | — |
| 783 | C4⋊C4 | — | 212 | 2 | no | — |
| 784 | C4⋊C4 | — | 212 | 2 | no | — |
| 785 | C22⋊C4 | — | 2 | 1 | no | — |
| 786 | C22⋊C4 | — | 106 | 1 | no | — |
| 787 | C22⋊C4 | — | 106 | 1 | no | — |
| 788 | C22⋊C4 | — | 212 | 2 | no | — |
| 789 | C22⋊C4 | — | 212 | 2 | no | — |
| 790 | C42 | — | 2 | 1 | no | — |
| 791 | C42 | — | 106 | 1 | no | — |
| 792 | C42 | — | 106 | 1 | no | — |
| 793 | C23 | — | 2 | 1 | no | — |
| 794 | C23 | — | 106 | 1 | no | — |
| 795 | C23 | — | 106 | 1 | no | — |
| 796 | C23 | — | 106 | 1 | no | — |
| 797 | C23 | #13133263 | 1 | 1 | yes | characteristic |
| 798 | Q8 | — | 2 | 2 | no | — |
| 799 | Q8 | — | 2 | 2 | no | — |
| 800 | Q8 | — | 2 | 1 | no | — |
| 801 | Q8 | — | 2 | 1 | no | — |
| 802 | Q8 | — | 4 | 1 | no | — |
| 803 | Q8 | — | 4 | 1 | no | — |
| 804 | Q8 | — | 53 | 2 | no | — |
| 805 | Q8 | — | 106 | 1 | no | — |
| 806 | Q8 | — | 106 | 2 | no | — |
| 807 | Q8 | — | 106 | 2 | no | — |
| 808 | Q8 | — | 106 | 1 | no | — |
| 809 | Q8 | — | 106 | 1 | no | — |
| 810 | Q8 | — | 106 | 1 | no | — |
| 811 | Q8 | — | 106 | 1 | no | — |
| 812 | Q8 | — | 212 | 4 | no | — |
| 813 | Q8 | — | 212 | 4 | no | — |
| 814 | Q8 | — | 212 | 1 | no | — |
| 815 | Q8 | — | 212 | 1 | no | — |
| 816 | D4 | — | 2 | 1 | no | — |
| 817 | D4 | — | 2 | 1 | no | — |
| 818 | D4 | — | 4 | 1 | no | — |
| 819 | D4 | — | 4 | 1 | no | — |
| 820 | D4 | — | 53 | 2 | no | — |
| 821 | D4 | — | 106 | 2 | no | — |
| 822 | D4 | — | 106 | 2 | no | — |
| 823 | D4 | — | 106 | 1 | no | — |
| 824 | D4 | — | 106 | 1 | no | — |
| 825 | D4 | — | 106 | 1 | no | — |
| 826 | D4 | — | 106 | 1 | no | — |
| 827 | D4 | — | 106 | 1 | no | — |
| 828 | D4 | — | 212 | 4 | no | — |
| 829 | D4 | — | 212 | 4 | no | — |
| 830 | D4 | — | 212 | 1 | no | — |
| 831 | D4 | — | 212 | 1 | no | — |
| 832 | D4 | — | 212 | 1 | no | — |
| 833 | D4 | — | 212 | 1 | no | — |
| 834 | C2×C4 | — | 2 | 1 | no | — |
| 835 | C2×C4 | — | 2 | 2 | no | — |
| 836 | C2×C4 | — | 4 | 1 | no | — |
| 837 | C2×C4 | — | 4 | 1 | no | — |
| 838 | C2×C4 | — | 4 | 1 | no | — |
| 839 | C2×C4 | — | 4 | 1 | no | — |
| 840 | C2×C4 | — | 4 | 1 | no | — |
| 841 | C2×C4 | — | 106 | 1 | no | — |
| 842 | C2×C4 | — | 106 | 2 | no | — |
| 843 | C2×C4 | — | 106 | 2 | no | — |
| 844 | C2×C4 | — | 106 | 1 | no | — |
| 845 | C2×C4 | — | 106 | 2 | no | — |
| 846 | C2×C4 | — | 106 | 1 | no | — |
| 847 | C2×C4 | — | 212 | 4 | no | — |
| 848 | C2×C4 | — | 212 | 4 | no | — |
| 849 | C2×C4 | — | 212 | 4 | no | — |
| 850 | C2×C4 | — | 212 | 4 | no | — |
| 851 | C2×C4 | — | 212 | 1 | no | — |
| 852 | C2×C4 | — | 212 | 1 | no | — |
| 853 | C2×C4 | — | 212 | 1 | no | — |
| 854 | C2×C4 | — | 212 | 1 | no | — |
| 855 | C2×C4 | — | 212 | 1 | no | — |
| 856 | C2×C4 | — | 212 | 1 | no | — |
| 857 | C2×C4 | — | 212 | 1 | no | — |
| 858 | C2×C4 | — | 212 | 1 | no | — |
| 859 | C2×C4 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 860 | C2×C4 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 861 | C2×C4 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 862 | C2×C4 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 863 | C2×C4 | #41×D53 | 1 | 1 | yes | characteristic |
| 864 | C2×C4 | #13133263 | 1 | 1 | yes | characteristic |
| 865 | C8 | — | 2 | 2 | no | — |
| 866 | C8 | — | 2 | 2 | no | — |
| 867 | C8 | — | 4 | 1 | no | — |
| 868 | C8 | — | 4 | 1 | no | — |
| 869 | C8 | — | 53 | 1 | no | — |
| 870 | C8 | — | 53 | 1 | no | — |
| 871 | C8 | — | 53 | 1 | no | — |
| 872 | C8 | — | 53 | 1 | no | — |
| 873 | C8 | — | 212 | 1 | no | — |
| 874 | C22 | — | 4 | 1 | no | — |
| 875 | C22 | — | 4 | 1 | no | — |
| 876 | C22 | — | 8 | 1 | no | — |
| 877 | C22 | — | 106 | 2 | no | — |
| 878 | C22 | — | 424 | 1 | no | — |
| 879 | C22 | — | 212 | 2 | no | — |
| 880 | C22 | — | 212 | 2 | no | — |
| 881 | C22 | — | 212 | 1 | no | — |
| 882 | C22 | — | 212 | 1 | no | — |
| 883 | C22 | #16811191 | 1 | 1 | yes | characteristic |
| 884 | C22 | #16811257 | 1 | 1 | yes | characteristic |
| 885 | C22 | #16811265 | 1 | 1 | yes | characteristic |
| 886 | C4 | — | 4 | 1 | no | — |
| 887 | C4 | — | 4 | 2 | no | — |
| 888 | C4 | — | 8 | 1 | no | — |
| 889 | C4 | — | 106 | 2 | no | — |
| 890 | C4 | — | 424 | 1 | no | — |
| 891 | C4 | — | 424 | 1 | no | — |
| 892 | C4 | — | 212 | 1 | no | — |
| 893 | C4 | — | 212 | 2 | no | — |
| 894 | C4 | — | 212 | 1 | no | — |
| 895 | C4 | #120×D53 | 1 | 1 | yes | characteristic |
| 896 | C4 | #121×D53 | 1 | 1 | yes | characteristic |
| 897 | C4 | #16811257 | 1 | 1 | yes | characteristic |
| 898 | C4 | #16811265 | 1 | 1 | yes | characteristic |
| 899 | C2 | — | 2 | 1 | no | — |
| 900 | C2 | — | 2 | 1 | no | — |
| 901 | C2 | — | 2 | 1 | no | — |
| 902 | C2 | — | 8 | 1 | no | — |
| 903 | C2 | — | 424 | 1 | no | — |
| 904 | C2 | — | 424 | 1 | no | — |
| 905 | C2 | — | 212 | 2 | no | — |
| 906 | C2 | #20278066 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#16811439 | C2 | semidirect |
| 2. #20284434 | C2 | semidirect |
| 3. #20284369 | C2 | semidirect |
| 4. #20284082 | C2 | semidirect |
| 5. #20284081 | C2 | semidirect |
| 6. #20283617 | C2 | semidirect |
| 7. #20275997 | C2 | semidirect |
| 8. #20275778 | C2 | semidirect |
| 9. #20275773 | C2 | semidirect |
| 10. #20275627 | C2 | semidirect |
| 11. #20275612 | C2 | semidirect |
| 12. #20274768 | C2 | semidirect |
| 13. #20274691 | C2 | semidirect |
| 14. #20274687 | C2 | semidirect |
| 15. C53×#2049 | C2 | semidirect |
| 453. #2049 | D53 | semidirect |
| 524. C53 | #24296 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16811439 | 2 |
| #20284434 | 2 |
| #20284369 | 2 |
| #20284082 | 2 |
| #20284081 | 2 |
| #20283617 | 2 |
| #20275997 | 2 |
| #20275778 | 2 |
| #20275773 | 2 |
| #20275627 | 2 |
| #20275612 | 2 |
| #20274768 | 2 |
| #20274691 | 2 |
| #20274687 | 2 |
| C53×#2049 | 2 |
| #24296 | 53 |