← #28264749
Subgroups — #28264749
Order 13568.
1682 conjugacy classes of subgroups.
The subgroup lattice has 1042 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #20288523 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #20288521 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #20287681 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #20287677 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #20287650 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #20287642 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #20287605 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #20287601 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #20287601 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #20287596 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #20285253 | C2 | 1 | 1 | yes | maximal, characteristic |
| 12 | #20285249 | C2 | 1 | 1 | yes | maximal, characteristic |
| 13 | #20285227 | C2 | 1 | 1 | yes | maximal, characteristic |
| 14 | #20284560 | C2 | 1 | 1 | yes | maximal, characteristic |
| 15 | #20284558 | C2 | 1 | 1 | yes | maximal, characteristic |
| 16 | #20284553 | C2 | 1 | 1 | yes | maximal, characteristic |
| 17 | #20284519 | C2 | 1 | 1 | yes | maximal, characteristic |
| 18 | #20284517 | C2 | 1 | 1 | yes | maximal, characteristic |
| 19 | #20283648 | C2 | 1 | 1 | yes | maximal, characteristic |
| 20 | #20283581 | C2 | 1 | 1 | yes | maximal, characteristic |
| 21 | #20283579 | C2 | 1 | 1 | yes | maximal, characteristic |
| 22 | C2×#16810715 | C2 | 1 | 1 | yes | maximal, characteristic |
| 23 | C53×#3082 | C2 | 1 | 1 | yes | maximal, characteristic |
| 24 | C22×#11719925 | C22 | 1 | 1 | yes | characteristic |
| 25 | Q8×Dic106 | — | 2 | 1 | no | — |
| 26 | Q8×Dic106 | C22 | 1 | 2 | yes | — |
| 27 | #16811353 | — | 2 | 1 | no | — |
| 28 | #16811353 | C22 | 1 | 2 | yes | — |
| 29 | #16811352 | — | 2 | 1 | no | — |
| 30 | #16811352 | C22 | 1 | 2 | yes | — |
| 31 | #16811350 | — | 2 | 1 | no | — |
| 32 | #16811350 | — | 2 | 1 | no | — |
| 33 | #16811350 | C22 | 1 | 2 | yes | — |
| 34 | #16811350 | C22 | 1 | 2 | yes | — |
| 35 | #16811349 | — | 2 | 1 | no | — |
| 36 | #16811349 | — | 2 | 1 | no | — |
| 37 | #16811349 | C22 | 1 | 2 | yes | — |
| 38 | #16811349 | C22 | 1 | 2 | yes | — |
| 39 | #16811348 | — | 2 | 1 | no | — |
| 40 | #16811348 | C22 | 1 | 2 | yes | — |
| 41 | #16811254 | C22 | 1 | 1 | yes | characteristic |
| 42 | #16811252 | — | 2 | 2 | no | — |
| 43 | #16811251 | — | 2 | 2 | no | — |
| 44 | #16811251 | C22 | 1 | 1 | yes | characteristic |
| 45 | #16811251 | C22 | 1 | 1 | yes | characteristic |
| 46 | #16811176 | — | 2 | 2 | no | — |
| 47 | #16811176 | C22 | 1 | 1 | yes | characteristic |
| 48 | #16811176 | C22 | 1 | 1 | yes | characteristic |
| 49 | #16811176 | C22 | 1 | 1 | yes | characteristic |
| 50 | #16811175 | — | 2 | 2 | no | — |
| 51 | #16811101 | C22 | 1 | 1 | yes | characteristic |
| 52 | #16811100 | C22 | 1 | 1 | yes | characteristic |
| 53 | #16811100 | C22 | 1 | 1 | yes | characteristic |
| 54 | C2×Q8×Dic53 | C22 | 1 | 1 | yes | characteristic |
| 55 | C2×#13133182 | C22 | 1 | 1 | yes | characteristic |
| 56 | #16811033 | C22 | 1 | 2 | yes | — |
| 57 | #16811031 | C22 | 1 | 2 | yes | — |
| 58 | #16811030 | C22 | 1 | 2 | yes | — |
| 59 | #16811029 | C22 | 1 | 2 | yes | — |
| 60 | #16811027 | C22 | 1 | 1 | yes | characteristic |
| 61 | #16811027 | C22 | 1 | 1 | yes | characteristic |
| 62 | #16811027 | C22 | 1 | 2 | yes | — |
| 63 | #16811026 | C22 | 1 | 2 | yes | — |
| 64 | #16811024 | C22 | 1 | 1 | yes | characteristic |
| 65 | #16811024 | C22 | 1 | 1 | yes | characteristic |
| 66 | #16811023 | C22 | 1 | 1 | yes | characteristic |
| 67 | #16811023 | C22 | 1 | 1 | yes | characteristic |
| 68 | #16811023 | C22 | 1 | 2 | yes | — |
| 69 | #16811022 | C22 | 1 | 2 | yes | — |
| 70 | #16811020 | C22 | 1 | 1 | yes | characteristic |
| 71 | #16811020 | C22 | 1 | 1 | yes | characteristic |
| 72 | #16810933 | C22 | 1 | 2 | yes | — |
| 73 | #16810933 | C22 | 1 | 2 | yes | — |
| 74 | #16810932 | C22 | 1 | 2 | yes | — |
| 75 | #16810932 | C22 | 1 | 2 | yes | — |
| 76 | #16810931 | C22 | 1 | 2 | yes | — |
| 77 | #16810931 | C22 | 1 | 2 | yes | — |
| 78 | #16810929 | C22 | 1 | 2 | yes | — |
| 79 | #16810929 | C22 | 1 | 2 | yes | — |
| 80 | #16810928 | C22 | 1 | 2 | yes | — |
| 81 | #16810928 | C22 | 1 | 2 | yes | — |
| 82 | #16810919 | C22 | 1 | 2 | yes | — |
| 83 | #16810917 | C22 | 1 | 2 | yes | — |
| 84 | #16810917 | C22 | 1 | 2 | yes | — |
| 85 | #16810916 | C22 | 1 | 2 | yes | — |
| 86 | #16810916 | C22 | 1 | 2 | yes | — |
| 87 | #16810909 | C22 | 1 | 2 | yes | — |
| 88 | #16810907 | C22 | 1 | 2 | yes | — |
| 89 | #16810907 | C22 | 1 | 2 | yes | — |
| 90 | #16810906 | C22 | 1 | 2 | yes | — |
| 91 | #16810906 | C22 | 1 | 2 | yes | — |
| 92 | #16810752 | C22 | 1 | 2 | yes | — |
| 93 | #16810752 | C22 | 1 | 2 | yes | — |
| 94 | #16810747 | C22 | 1 | 2 | yes | — |
| 95 | #16810747 | C22 | 1 | 2 | yes | — |
| 96 | #16810728 | C22 | 1 | 2 | yes | — |
| 97 | #16810728 | C22 | 1 | 2 | yes | — |
| 98 | #16810727 | C22 | 1 | 2 | yes | — |
| 99 | #16810727 | C22 | 1 | 2 | yes | — |
| 100 | C4×#11719925 | C22 | 1 | 2 | yes | — |
| 101 | C4×#11719925 | C22 | 1 | 2 | yes | — |
| 102 | #16810715 | C22 | 1 | 2 | yes | — |
| 103 | #16810715 | C22 | 1 | 2 | yes | — |
| 104 | #16810715 | C22 | 1 | 2 | yes | — |
| 105 | #16810715 | C22 | 1 | 2 | yes | — |
| 106 | #16810715 | C22 | 1 | 2 | yes | — |
| 107 | #16810715 | C22 | 1 | 2 | yes | — |
| 108 | #16810666 | C22 | 1 | 1 | yes | characteristic |
| 109 | #16810665 | C22 | 1 | 1 | yes | characteristic |
| 110 | #16810663 | C22 | 1 | 1 | yes | characteristic |
| 111 | #16810661 | C22 | 1 | 1 | yes | characteristic |
| 112 | #16810659 | C22 | 1 | 1 | yes | characteristic |
| 113 | #16810659 | C22 | 1 | 1 | yes | characteristic |
| 114 | C2×#13133150 | C22 | 1 | 1 | yes | characteristic |
| 115 | #16810649 | C22 | 1 | 1 | yes | characteristic |
| 116 | #16810646 | C22 | 1 | 1 | yes | characteristic |
| 117 | #16810633 | C22 | 1 | 1 | yes | characteristic |
| 118 | #16810632 | C22 | 1 | 1 | yes | characteristic |
| 119 | #16810631 | C22 | 1 | 1 | yes | characteristic |
| 120 | C2×#13133142 | C22 | 1 | 1 | yes | characteristic |
| 121 | #16810581 | C22 | 1 | 1 | yes | characteristic |
| 122 | #16810579 | C22 | 1 | 1 | yes | characteristic |
| 123 | C2×C8×Dic53 | C22 | 1 | 1 | yes | characteristic |
| 124 | C53×#544 | C22 | 1 | 1 | yes | characteristic |
| 125 | C53×#519 | C22 | 1 | 1 | yes | characteristic |
| 126 | C53×#479 | C22 | 1 | 2 | yes | — |
| 127 | C53×#479 | C22 | 1 | 2 | yes | — |
| 128 | C53×#477 | C22 | 1 | 2 | yes | — |
| 129 | C53×#475 | C22 | 1 | 2 | yes | — |
| 130 | C53×#428 | C22 | 1 | 1 | yes | characteristic |
| 131 | C53×#427 | C22 | 1 | 1 | yes | characteristic |
| 132 | C53×#424 | C22 | 1 | 1 | yes | characteristic |
| 133 | C53×#419 | C22 | 1 | 1 | yes | characteristic |
| 134 | C2×#103×C53 | C22 | 1 | 1 | yes | characteristic |
| 135 | C22×Dic106 | C23 | 1 | 1 | yes | characteristic |
| 136 | C2×#11719925 | Q8 | 1 | 8 | yes | complemented |
| 137 | C2×#11719925 | C23 | 1 | 2 | yes | — |
| 138 | C2×#11719925 | C23 | 1 | 2 | yes | — |
| 139 | C2×#11719917 | C23 | 1 | 1 | yes | characteristic |
| 140 | C22×#88322 | C23 | 1 | 1 | yes | characteristic |
| 141 | #13133217 | — | 2 | 1 | no | — |
| 142 | #13133217 | — | 2 | 2 | no | — |
| 143 | #13133217 | — | 2 | 2 | no | — |
| 144 | #13133217 | C23 | 1 | 2 | yes | — |
| 145 | #13133216 | — | 2 | 1 | no | — |
| 146 | #13133216 | — | 2 | 1 | no | — |
| 147 | #13133216 | — | 2 | 2 | no | — |
| 148 | #13133216 | — | 2 | 2 | no | — |
| 149 | #13133216 | — | 2 | 2 | no | — |
| 150 | #13133216 | — | 2 | 2 | no | — |
| 151 | #13133216 | — | 2 | 2 | no | — |
| 152 | #13133216 | — | 2 | 2 | no | — |
| 153 | #13133216 | — | 2 | 2 | no | — |
| 154 | #13133216 | D4 | 1 | 1 | yes | characteristic |
| 155 | #13133216 | D4 | 1 | 1 | yes | characteristic |
| 156 | #13133216 | C23 | 1 | 1 | yes | characteristic |
| 157 | #13133216 | C23 | 1 | 1 | yes | characteristic |
| 158 | #13133216 | C23 | 1 | 1 | yes | characteristic |
| 159 | #13133216 | C23 | 1 | 1 | yes | characteristic |
| 160 | #13133216 | C23 | 1 | 2 | yes | — |
| 161 | #13133216 | C23 | 1 | 2 | yes | — |
| 162 | #13133215 | — | 2 | 2 | no | — |
| 163 | #13133215 | — | 2 | 2 | no | — |
| 164 | #13133215 | — | 2 | 2 | no | — |
| 165 | #13133209 | — | 2 | 1 | no | — |
| 166 | #13133209 | — | 2 | 2 | no | — |
| 167 | #13133209 | — | 2 | 2 | no | — |
| 168 | #13133209 | C23 | 1 | 2 | yes | — |
| 169 | #13133208 | — | 2 | 1 | no | — |
| 170 | #13133208 | — | 2 | 1 | no | — |
| 171 | #13133208 | — | 2 | 2 | no | — |
| 172 | #13133208 | — | 2 | 2 | no | — |
| 173 | #13133208 | — | 2 | 2 | no | — |
| 174 | #13133208 | — | 2 | 2 | no | — |
| 175 | #13133208 | D4 | 1 | 1 | yes | characteristic |
| 176 | #13133208 | D4 | 1 | 1 | yes | characteristic |
| 177 | #13133208 | C23 | 1 | 1 | yes | characteristic |
| 178 | #13133208 | C23 | 1 | 1 | yes | characteristic |
| 179 | #13133208 | C23 | 1 | 1 | yes | characteristic |
| 180 | #13133208 | C23 | 1 | 1 | yes | characteristic |
| 181 | #13133208 | C23 | 1 | 2 | yes | — |
| 182 | #13133208 | C23 | 1 | 2 | yes | — |
| 183 | #13133207 | — | 2 | 2 | no | — |
| 184 | #13133207 | — | 2 | 2 | no | — |
| 185 | #13133207 | — | 2 | 2 | no | — |
| 186 | #13133207 | — | 2 | 2 | no | — |
| 187 | #13133207 | — | 2 | 2 | no | — |
| 188 | #13133207 | — | 2 | 2 | no | — |
| 189 | #13133196 | — | 2 | 2 | no | — |
| 190 | #13133194 | — | 2 | 2 | no | — |
| 191 | #13133194 | — | 2 | 2 | no | — |
| 192 | #13133194 | — | 2 | 1 | no | — |
| 193 | #13133194 | — | 2 | 1 | no | — |
| 194 | #13133194 | — | 2 | 1 | no | — |
| 195 | #13133194 | — | 2 | 1 | no | — |
| 196 | #13133194 | D4 | 1 | 2 | yes | — |
| 197 | #13133194 | D4 | 1 | 2 | yes | — |
| 198 | Q8×Dic53 | — | 2 | 2 | no | — |
| 199 | Q8×Dic53 | — | 2 | 1 | no | — |
| 200 | Q8×Dic53 | — | 2 | 1 | no | — |
| 201 | Q8×Dic53 | — | 2 | 1 | no | — |
| 202 | Q8×Dic53 | — | 2 | 1 | no | — |
| 203 | Q8×Dic53 | C23 | 1 | 2 | yes | — |
| 204 | Q8×Dic53 | C23 | 1 | 2 | yes | — |
| 205 | Q8×Dic53 | C23 | 1 | 2 | yes | — |
| 206 | Q8×Dic53 | C23 | 1 | 2 | yes | — |
| 207 | C4×Dic106 | — | 2 | 1 | no | — |
| 208 | C4×Dic106 | — | 2 | 2 | no | — |
| 209 | C4×Dic106 | — | 2 | 1 | no | — |
| 210 | C4×Dic106 | — | 2 | 2 | no | — |
| 211 | C4×Dic106 | — | 2 | 2 | no | — |
| 212 | C4×Dic106 | — | 2 | 1 | no | — |
| 213 | C4×Dic106 | — | 2 | 1 | no | — |
| 214 | C4×Dic106 | — | 2 | 1 | no | — |
| 215 | C4×Dic106 | — | 2 | 1 | no | — |
| 216 | C4×Dic106 | — | 2 | 2 | no | — |
| 217 | C4×Dic106 | C23 | 1 | 2 | yes | — |
| 218 | C4×Dic106 | C23 | 1 | 2 | yes | — |
| 219 | C4×Dic106 | C23 | 1 | 2 | yes | — |
| 220 | C4×Dic106 | C23 | 1 | 2 | yes | — |
| 221 | #13133182 | — | 2 | 1 | no | — |
| 222 | #13133182 | — | 2 | 1 | no | — |
| 223 | #13133182 | — | 2 | 2 | no | — |
| 224 | #13133182 | — | 2 | 2 | no | — |
| 225 | #13133182 | — | 2 | 1 | no | — |
| 226 | #13133182 | — | 2 | 1 | no | — |
| 227 | #13133182 | — | 2 | 2 | no | — |
| 228 | #13133182 | C23 | 1 | 2 | yes | — |
| 229 | #13133182 | C23 | 1 | 2 | yes | — |
| 230 | #13133182 | C23 | 1 | 2 | yes | — |
| 231 | #13133182 | C23 | 1 | 2 | yes | — |
| 232 | #13133176 | — | 2 | 2 | no | — |
| 233 | #13133176 | C23 | 1 | 1 | yes | characteristic |
| 234 | #13133176 | C23 | 1 | 1 | yes | characteristic |
| 235 | #13133176 | C23 | 1 | 1 | yes | characteristic |
| 236 | #13133173 | — | 2 | 2 | no | — |
| 237 | #13133173 | — | 2 | 2 | no | — |
| 238 | C2×C4⋊Dic53 | — | 2 | 1 | no | — |
| 239 | C2×C4⋊Dic53 | C23 | 1 | 1 | yes | characteristic |
| 240 | C2×#11719919 | — | 2 | 1 | no | — |
| 241 | C2×C4×Dic53 | — | 2 | 1 | no | — |
| 242 | C2×C4×Dic53 | — | 2 | 1 | no | — |
| 243 | C2×C4×Dic53 | C23 | 1 | 1 | yes | characteristic |
| 244 | #13133151 | C23 | 1 | 1 | yes | characteristic |
| 245 | #13133151 | C23 | 1 | 1 | yes | characteristic |
| 246 | #13133151 | C23 | 1 | 2 | yes | — |
| 247 | #13133150 | C23 | 1 | 1 | yes | characteristic |
| 248 | #13133150 | C23 | 1 | 2 | yes | — |
| 249 | #13133150 | C23 | 1 | 1 | yes | characteristic |
| 250 | #13133150 | C23 | 1 | 1 | yes | characteristic |
| 251 | #13133150 | C23 | 1 | 1 | yes | characteristic |
| 252 | #13133150 | C23 | 1 | 2 | yes | — |
| 253 | #13133150 | C23 | 1 | 2 | yes | — |
| 254 | #13133150 | C23 | 1 | 2 | yes | — |
| 255 | #13133149 | C23 | 1 | 1 | yes | characteristic |
| 256 | #13133149 | C23 | 1 | 1 | yes | characteristic |
| 257 | #13133149 | C23 | 1 | 2 | yes | — |
| 258 | #13133148 | C23 | 1 | 1 | yes | characteristic |
| 259 | #13133148 | C23 | 1 | 1 | yes | characteristic |
| 260 | #13133148 | C23 | 1 | 1 | yes | characteristic |
| 261 | #13133148 | C23 | 1 | 1 | yes | characteristic |
| 262 | #13133148 | C23 | 1 | 2 | yes | — |
| 263 | #13133148 | C23 | 1 | 2 | yes | — |
| 264 | #13133146 | C23 | 1 | 2 | yes | — |
| 265 | #13133146 | C23 | 1 | 2 | yes | — |
| 266 | #13133146 | C23 | 1 | 2 | yes | — |
| 267 | #13133146 | C23 | 1 | 2 | yes | — |
| 268 | #13133142 | C23 | 1 | 2 | yes | — |
| 269 | #13133142 | C23 | 1 | 2 | yes | — |
| 270 | #13133142 | C23 | 1 | 2 | yes | — |
| 271 | #13133142 | C23 | 1 | 2 | yes | — |
| 272 | #13133141 | C23 | 1 | 2 | yes | — |
| 273 | #13133141 | C23 | 1 | 2 | yes | — |
| 274 | #13133140 | C23 | 1 | 2 | yes | — |
| 275 | #13133140 | C23 | 1 | 2 | yes | — |
| 276 | #13133128 | C23 | 1 | 2 | yes | — |
| 277 | #13133127 | C23 | 1 | 2 | yes | — |
| 278 | C4×#88322 | C23 | 1 | 2 | yes | — |
| 279 | C8×Dic53 | C23 | 1 | 1 | yes | characteristic |
| 280 | C8×Dic53 | C23 | 1 | 1 | yes | characteristic |
| 281 | C8×Dic53 | C23 | 1 | 1 | yes | characteristic |
| 282 | C8×Dic53 | C23 | 1 | 2 | yes | — |
| 283 | C8×Dic53 | C23 | 1 | 1 | yes | characteristic |
| 284 | C22×Q8×C53 | C23 | 1 | 1 | yes | characteristic |
| 285 | C2×M16×C53 | C23 | 1 | 1 | yes | characteristic |
| 286 | C22×C8×C53 | C23 | 1 | 1 | yes | characteristic |
| 287 | C4⋊Q8×C53 | — | 2 | 1 | no | — |
| 288 | C4⋊Q8×C53 | C23 | 1 | 2 | yes | — |
| 289 | #125×C53 | — | 2 | 1 | no | — |
| 290 | #125×C53 | C23 | 1 | 2 | yes | — |
| 291 | C22⋊Q8×C53 | — | 2 | 2 | no | — |
| 292 | C4×Q8×C53 | — | 2 | 1 | no | — |
| 293 | C4×Q8×C53 | — | 2 | 1 | no | — |
| 294 | C4×Q8×C53 | C23 | 1 | 2 | yes | — |
| 295 | C4×Q8×C53 | C23 | 1 | 2 | yes | — |
| 296 | #117×C53 | — | 2 | 2 | no | — |
| 297 | #117×C53 | C23 | 1 | 1 | yes | characteristic |
| 298 | #117×C53 | C23 | 1 | 1 | yes | characteristic |
| 299 | #117×C53 | C23 | 1 | 1 | yes | characteristic |
| 300 | C2×C4⋊C4×C53 | C23 | 1 | 1 | yes | characteristic |
| 301 | #107×C53 | C23 | 1 | 1 | yes | characteristic |
| 302 | #107×C53 | C23 | 1 | 1 | yes | characteristic |
| 303 | #107×C53 | C23 | 1 | 2 | yes | — |
| 304 | #106×C53 | C23 | 1 | 1 | yes | characteristic |
| 305 | #106×C53 | C23 | 1 | 1 | yes | characteristic |
| 306 | #106×C53 | C23 | 1 | 2 | yes | — |
| 307 | C4⋊C8×C53 | C23 | 1 | 2 | yes | — |
| 308 | C4⋊C8×C53 | C23 | 1 | 2 | yes | — |
| 309 | #103×C53 | C23 | 1 | 2 | yes | — |
| 310 | #103×C53 | C23 | 1 | 2 | yes | — |
| 311 | #103×C53 | C23 | 1 | 2 | yes | — |
| 312 | #103×C53 | C23 | 1 | 2 | yes | — |
| 313 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 314 | C2×Q8×C53 | — | 2 | 2 | no | — |
| 315 | C2×Q8×C53 | — | 2 | 2 | no | — |
| 316 | C2×Q8×C53 | C2×Q8 | 1 | 4 | yes | — |
| 317 | C2×Q8×C53 | C24 | 1 | 2 | yes | — |
| 318 | C22×C4×C53 | — | 2 | 1 | no | — |
| 319 | C22×C4×C53 | — | 2 | 1 | no | — |
| 320 | C22×C4×C53 | C24 | 1 | 1 | yes | characteristic |
| 321 | C22×Dic53 | — | 2 | 1 | no | — |
| 322 | C22×Dic53 | — | 2 | 1 | no | — |
| 323 | C22×Dic53 | C2×D4 | 1 | 1 | yes | characteristic |
| 324 | C22×Dic53 | C2×D4 | 1 | 1 | yes | characteristic |
| 325 | C2×Dic106 | — | 2 | 1 | no | — |
| 326 | C2×Dic106 | — | 2 | 2 | no | — |
| 327 | C2×Dic106 | — | 2 | 1 | no | — |
| 328 | C2×Dic106 | — | 2 | 1 | no | — |
| 329 | C2×Dic106 | — | 2 | 2 | no | — |
| 330 | C2×Dic106 | — | 2 | 2 | no | — |
| 331 | C2×Dic106 | — | 2 | 1 | no | — |
| 332 | C2×Dic106 | — | 2 | 1 | no | — |
| 333 | C2×Dic106 | — | 2 | 2 | no | — |
| 334 | C2×Dic106 | C2×D4 | 1 | 2 | yes | — |
| 335 | C2×Dic106 | C2×D4 | 1 | 2 | yes | — |
| 336 | C2×Dic106 | C2×Q8 | 1 | 4 | yes | — |
| 337 | C2×Dic106 | C24 | 1 | 2 | yes | — |
| 338 | M16×C53 | — | 2 | 2 | no | — |
| 339 | C2×C8×C53 | — | 2 | 2 | no | — |
| 340 | C2×C8×C53 | C24 | 1 | 1 | yes | characteristic |
| 341 | C2×C8×C53 | C24 | 1 | 2 | yes | — |
| 342 | C2×C8×C53 | C24 | 1 | 1 | yes | characteristic |
| 343 | C4⋊C4×C53 | — | 2 | 1 | no | — |
| 344 | C4⋊C4×C53 | — | 2 | 2 | no | — |
| 345 | C4⋊C4×C53 | — | 2 | 2 | no | — |
| 346 | C4⋊C4×C53 | — | 2 | 2 | no | — |
| 347 | C4⋊C4×C53 | — | 2 | 2 | no | — |
| 348 | C4⋊C4×C53 | — | 2 | 2 | no | — |
| 349 | C4⋊C4×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 350 | C4⋊C4×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 351 | C4⋊C4×C53 | C24 | 1 | 2 | yes | — |
| 352 | C4⋊C4×C53 | C24 | 1 | 1 | yes | characteristic |
| 353 | C4⋊C4×C53 | C24 | 1 | 1 | yes | characteristic |
| 354 | C4⋊C4×C53 | C24 | 1 | 1 | yes | characteristic |
| 355 | C4⋊C4×C53 | C24 | 1 | 1 | yes | characteristic |
| 356 | C22⋊C4×C53 | — | 2 | 1 | no | — |
| 357 | C22⋊C4×C53 | — | 2 | 1 | no | — |
| 358 | C22⋊C4×C53 | C2×D4 | 1 | 2 | yes | — |
| 359 | C42×C53 | — | 2 | 2 | no | — |
| 360 | C42×C53 | — | 2 | 2 | no | — |
| 361 | C42×C53 | — | 2 | 1 | no | — |
| 362 | C42×C53 | — | 2 | 1 | no | — |
| 363 | C42×C53 | C24 | 1 | 2 | yes | — |
| 364 | C22⋊Dic53 | — | 2 | 1 | no | — |
| 365 | C22⋊Dic53 | — | 2 | 1 | no | — |
| 366 | C22⋊Dic53 | C2×D4 | 1 | 2 | yes | — |
| 367 | #11719925 | C2×Q8 | 1 | 8 | yes | — |
| 368 | #11719925 | C2×Q8 | 1 | 8 | yes | — |
| 369 | C4⋊Dic53 | — | 2 | 1 | no | — |
| 370 | C4⋊Dic53 | — | 2 | 2 | no | — |
| 371 | C4⋊Dic53 | — | 2 | 2 | no | — |
| 372 | C4⋊Dic53 | — | 2 | 2 | no | — |
| 373 | C4⋊Dic53 | — | 2 | 2 | no | — |
| 374 | C4⋊Dic53 | — | 2 | 2 | no | — |
| 375 | C4⋊Dic53 | — | 2 | 1 | no | — |
| 376 | C4⋊Dic53 | — | 2 | 1 | no | — |
| 377 | C4⋊Dic53 | — | 2 | 1 | no | — |
| 378 | C4⋊Dic53 | — | 2 | 1 | no | — |
| 379 | C4⋊Dic53 | — | 2 | 2 | no | — |
| 380 | C4⋊Dic53 | — | 2 | 2 | no | — |
| 381 | C4⋊Dic53 | C2×D4 | 1 | 1 | yes | characteristic |
| 382 | C4⋊Dic53 | C2×D4 | 1 | 1 | yes | characteristic |
| 383 | C4⋊Dic53 | C2×D4 | 1 | 2 | yes | — |
| 384 | C4⋊Dic53 | C2×D4 | 1 | 2 | yes | — |
| 385 | C4⋊Dic53 | C24 | 1 | 1 | yes | characteristic |
| 386 | C4⋊Dic53 | C24 | 1 | 1 | yes | characteristic |
| 387 | C4⋊Dic53 | C24 | 1 | 1 | yes | characteristic |
| 388 | C4⋊Dic53 | C24 | 1 | 2 | yes | — |
| 389 | C4⋊Dic53 | C24 | 1 | 1 | yes | characteristic |
| 390 | #11719919 | — | 2 | 2 | no | — |
| 391 | #11719919 | — | 2 | 2 | no | — |
| 392 | #11719919 | — | 2 | 2 | no | — |
| 393 | #11719919 | — | 2 | 2 | no | — |
| 394 | #11719919 | — | 2 | 2 | no | — |
| 395 | #11719919 | — | 2 | 2 | no | — |
| 396 | #11719919 | — | 2 | 2 | no | — |
| 397 | #11719919 | — | 2 | 2 | no | — |
| 398 | #11719919 | — | 2 | 1 | no | — |
| 399 | #11719919 | — | 2 | 1 | no | — |
| 400 | #11719919 | — | 2 | 2 | no | — |
| 401 | #11719919 | — | 2 | 2 | no | — |
| 402 | #11719919 | — | 2 | 1 | no | — |
| 403 | #11719919 | — | 2 | 1 | no | — |
| 404 | #11719919 | — | 2 | 1 | no | — |
| 405 | #11719919 | — | 2 | 1 | no | — |
| 406 | #11719919 | — | 2 | 1 | no | — |
| 407 | #11719919 | — | 2 | 2 | no | — |
| 408 | #11719919 | — | 2 | 2 | no | — |
| 409 | #11719919 | — | 2 | 1 | no | — |
| 410 | #11719919 | C2×D4 | 1 | 2 | yes | — |
| 411 | #11719919 | C2×D4 | 1 | 2 | yes | — |
| 412 | #11719919 | C2×D4 | 1 | 2 | yes | — |
| 413 | #11719919 | C2×D4 | 1 | 2 | yes | — |
| 414 | C4×Dic53 | — | 2 | 2 | no | — |
| 415 | C4×Dic53 | — | 2 | 2 | no | — |
| 416 | C4×Dic53 | — | 2 | 1 | no | — |
| 417 | C4×Dic53 | — | 2 | 1 | no | — |
| 418 | C4×Dic53 | — | 2 | 2 | no | — |
| 419 | C4×Dic53 | — | 2 | 2 | no | — |
| 420 | C4×Dic53 | — | 2 | 2 | no | — |
| 421 | C4×Dic53 | — | 2 | 2 | no | — |
| 422 | C4×Dic53 | — | 2 | 2 | no | — |
| 423 | C4×Dic53 | — | 2 | 2 | no | — |
| 424 | C4×Dic53 | — | 2 | 2 | no | — |
| 425 | C4×Dic53 | — | 2 | 2 | no | — |
| 426 | C4×Dic53 | C2×D4 | 1 | 1 | yes | characteristic |
| 427 | C4×Dic53 | C2×D4 | 1 | 1 | yes | characteristic |
| 428 | C4×Dic53 | C24 | 1 | 1 | yes | characteristic |
| 429 | C4×Dic53 | C24 | 1 | 1 | yes | characteristic |
| 430 | C4×Dic53 | C24 | 1 | 2 | yes | — |
| 431 | #11719917 | — | 2 | 2 | no | — |
| 432 | C2×#88322 | C2×Q8 | 1 | 4 | yes | — |
| 433 | C2×#88322 | C24 | 1 | 2 | yes | — |
| 434 | C2×#88322 | C24 | 1 | 1 | yes | characteristic |
| 435 | C2×#88322 | C24 | 1 | 1 | yes | characteristic |
| 436 | C23×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 437 | Q8×C53 | — | 2 | 4 | no | — |
| 438 | Q8×C53 | — | 2 | 2 | no | — |
| 439 | Q8×C53 | — | 8 | 2 | no | — |
| 440 | Q8×C53 | C22×Q8 | 1 | 4 | yes | — |
| 441 | C2×C4×C53 | — | 2 | 4 | no | — |
| 442 | C2×C4×C53 | — | 2 | 2 | no | — |
| 443 | C2×C4×C53 | — | 2 | 1 | no | — |
| 444 | C2×C4×C53 | — | 2 | 2 | no | — |
| 445 | C2×C4×C53 | — | 2 | 1 | no | — |
| 446 | C2×C4×C53 | — | 2 | 1 | no | — |
| 447 | C2×C4×C53 | — | 2 | 1 | no | — |
| 448 | C2×C4×C53 | — | 8 | 1 | no | — |
| 449 | C2×C4×C53 | C22×D4 | 1 | 2 | yes | — |
| 450 | C2×C4×C53 | C22×D4 | 1 | 2 | yes | — |
| 451 | C2×C4×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 452 | C2×C4×C53 | C22×Q8 | 1 | 2 | yes | — |
| 453 | C2×C4×C53 | 2−1+4 | 1 | 2 | yes | — |
| 454 | C2×C4×C53 | C25 | 1 | 1 | yes | characteristic |
| 455 | C2×Dic53 | — | 2 | 4 | no | — |
| 456 | C2×Dic53 | — | 2 | 2 | no | — |
| 457 | C2×Dic53 | — | 2 | 2 | no | — |
| 458 | C2×Dic53 | — | 2 | 1 | no | — |
| 459 | C2×Dic53 | — | 2 | 1 | no | — |
| 460 | C2×Dic53 | — | 2 | 2 | no | — |
| 461 | C2×Dic53 | — | 2 | 1 | no | — |
| 462 | C2×Dic53 | — | 2 | 1 | no | — |
| 463 | C2×Dic53 | — | 4 | 1 | no | — |
| 464 | C2×Dic53 | — | 8 | 1 | no | — |
| 465 | C2×Dic53 | C22×D4 | 1 | 2 | yes | — |
| 466 | C2×Dic53 | C22×D4 | 1 | 1 | yes | characteristic |
| 467 | C2×Dic53 | C22×D4 | 1 | 1 | yes | characteristic |
| 468 | C2×Dic53 | C22×D4 | 1 | 2 | yes | — |
| 469 | C2×Dic53 | C22×D4 | 1 | 1 | yes | characteristic |
| 470 | C2×Dic53 | C22×D4 | 1 | 1 | yes | characteristic |
| 471 | Dic106 | — | 2 | 4 | no | — |
| 472 | Dic106 | — | 2 | 2 | no | — |
| 473 | Dic106 | — | 2 | 4 | no | — |
| 474 | Dic106 | — | 4 | 2 | no | — |
| 475 | Dic106 | — | 4 | 2 | no | — |
| 476 | Dic106 | — | 4 | 2 | no | — |
| 477 | Dic106 | — | 8 | 2 | no | — |
| 478 | Dic106 | — | 8 | 2 | no | — |
| 479 | Dic106 | — | 8 | 1 | no | — |
| 480 | Dic106 | — | 8 | 1 | no | — |
| 481 | Dic106 | — | 8 | 2 | no | — |
| 482 | Dic106 | C22×Q8 | 1 | 4 | yes | — |
| 483 | C8×C53 | — | 2 | 1 | no | — |
| 484 | C8×C53 | — | 2 | 1 | no | — |
| 485 | C8×C53 | — | 2 | 2 | no | — |
| 486 | #88322 | — | 2 | 2 | no | — |
| 487 | #88322 | C22×Q8 | 1 | 2 | yes | — |
| 488 | #88322 | C22×Q8 | 1 | 2 | yes | — |
| 489 | #61372 | — | 53 | 1 | no | maximal, Sylow |
| 490 | C22×C53 | — | 2 | 1 | no | — |
| 491 | C22×C53 | — | 2 | 1 | no | — |
| 492 | C22×C53 | D4×Q8 | 1 | 2 | yes | — |
| 493 | C22×C53 | C23×D4 | 1 | 1 | yes | characteristic |
| 494 | C4×C53 | — | 2 | 2 | no | — |
| 495 | C4×C53 | — | 2 | 4 | no | — |
| 496 | C4×C53 | — | 2 | 2 | no | — |
| 497 | C4×C53 | — | 4 | 1 | no | — |
| 498 | C4×C53 | — | 4 | 2 | no | — |
| 499 | C4×C53 | — | 4 | 1 | no | — |
| 500 | C4×C53 | — | 4 | 1 | no | — |
| 501 | C4×C53 | — | 4 | 1 | no | — |
| 502 | C4×C53 | D4×Q8 | 1 | 2 | yes | — |
| 503 | C4×C53 | C23×Q8 | 1 | 1 | yes | characteristic |
| 504 | C4×C53 | C2×2−1+4 | 1 | 1 | yes | characteristic |
| 505 | Dic53 | — | 2 | 1 | no | — |
| 506 | Dic53 | — | 2 | 2 | no | — |
| 507 | Dic53 | — | 2 | 1 | no | — |
| 508 | Dic53 | — | 2 | 4 | no | — |
| 509 | Dic53 | — | 2 | 2 | no | — |
| 510 | Dic53 | — | 2 | 1 | no | — |
| 511 | Dic53 | — | 4 | 1 | no | — |
| 512 | Dic53 | — | 4 | 1 | no | — |
| 513 | Dic53 | — | 4 | 2 | no | — |
| 514 | Dic53 | — | 4 | 1 | no | — |
| 515 | Dic53 | — | 4 | 1 | no | — |
| 516 | Dic53 | #578 | 1 | 2 | yes | — |
| 517 | #3502 | — | 53 | 1 | no | — |
| 518 | #3502 | — | 53 | 1 | no | — |
| 519 | #3390 | — | 53 | 2 | no | — |
| 520 | #3390 | — | 53 | 2 | no | — |
| 521 | #3387 | — | 53 | 2 | no | — |
| 522 | #3387 | — | 53 | 2 | no | — |
| 523 | #3383 | — | 53 | 2 | no | — |
| 524 | #3383 | — | 53 | 2 | no | — |
| 525 | #3383 | — | 53 | 2 | no | — |
| 526 | Q8×Q16 | — | 53 | 2 | no | — |
| 527 | #3164 | — | 53 | 1 | no | — |
| 528 | #3164 | — | 53 | 1 | no | — |
| 529 | #3160 | — | 53 | 1 | no | — |
| 530 | #3082 | — | 53 | 1 | no | — |
| 531 | #3082 | — | 53 | 1 | no | — |
| 532 | #3082 | — | 53 | 1 | no | — |
| 533 | #3082 | D53 | 1 | 1 | yes | characteristic |
| 534 | #3078 | — | 53 | 1 | no | — |
| 535 | #3078 | — | 53 | 1 | no | — |
| 536 | #2960 | — | 53 | 1 | no | — |
| 537 | #2950 | — | 53 | 1 | no | — |
| 538 | #2950 | — | 53 | 1 | no | — |
| 539 | C2×C4×Q16 | — | 53 | 1 | no | — |
| 540 | C2×C53 | — | 2 | 2 | no | — |
| 541 | C2×C53 | C2×D4×Q8 | 1 | 1 | yes | characteristic |
| 542 | C2×C53 | C2×#578 | 1 | 1 | yes | characteristic |
| 543 | C2×C53 | #3584 | 1 | 1 | yes | characteristic |
| 544 | C22×Q16 | — | 53 | 1 | no | — |
| 545 | Q82 | — | 53 | 2 | no | — |
| 546 | Q82 | — | 53 | 2 | no | — |
| 547 | Q82 | — | 106 | 1 | no | — |
| 548 | Q82 | — | 106 | 1 | no | — |
| 549 | #557 | — | 53 | 2 | no | — |
| 550 | #557 | — | 53 | 2 | no | — |
| 551 | #557 | — | 53 | 2 | no | — |
| 552 | #557 | — | 53 | 2 | no | — |
| 553 | #557 | — | 53 | 2 | no | — |
| 554 | #557 | — | 53 | 2 | no | — |
| 555 | #557 | — | 106 | 1 | no | — |
| 556 | #557 | — | 106 | 1 | no | — |
| 557 | #557 | — | 106 | 1 | no | — |
| 558 | #557 | — | 106 | 1 | no | — |
| 559 | #557 | — | 106 | 1 | no | — |
| 560 | #557 | — | 106 | 1 | no | — |
| 561 | #544 | — | 53 | 1 | no | — |
| 562 | #544 | — | 53 | 1 | no | — |
| 563 | #544 | — | 53 | 1 | no | — |
| 564 | #544 | — | 106 | 2 | no | — |
| 565 | #544 | — | 106 | 2 | no | — |
| 566 | #544 | C2×D53 | 1 | 1 | yes | characteristic |
| 567 | #533 | — | 53 | 1 | no | — |
| 568 | #533 | — | 53 | 1 | no | — |
| 569 | #533 | — | 53 | 1 | no | — |
| 570 | #533 | — | 106 | 2 | no | — |
| 571 | #533 | — | 106 | 2 | no | — |
| 572 | #519 | — | 53 | 1 | no | — |
| 573 | #519 | — | 53 | 1 | no | — |
| 574 | #519 | — | 53 | 1 | no | — |
| 575 | #519 | C2×D53 | 1 | 1 | yes | characteristic |
| 576 | C2×C4×Q8 | — | 53 | 1 | no | — |
| 577 | C2×C4×Q8 | — | 53 | 1 | no | — |
| 578 | #501 | — | 53 | 2 | no | — |
| 579 | #501 | — | 53 | 2 | no | — |
| 580 | #501 | — | 53 | 2 | no | — |
| 581 | #501 | — | 53 | 2 | no | — |
| 582 | #500 | — | 53 | 2 | no | — |
| 583 | #500 | — | 53 | 1 | no | — |
| 584 | #500 | — | 53 | 2 | no | — |
| 585 | #500 | — | 53 | 1 | no | — |
| 586 | #499 | — | 53 | 2 | no | — |
| 587 | #499 | — | 53 | 1 | no | — |
| 588 | #499 | — | 53 | 1 | no | — |
| 589 | #499 | — | 53 | 1 | no | — |
| 590 | #499 | — | 53 | 1 | no | — |
| 591 | #499 | — | 53 | 2 | no | — |
| 592 | #498 | — | 53 | 1 | no | — |
| 593 | #498 | — | 53 | 1 | no | — |
| 594 | #479 | — | 53 | 2 | no | — |
| 595 | #479 | — | 53 | 2 | no | — |
| 596 | #479 | — | 53 | 2 | no | — |
| 597 | #479 | — | 53 | 2 | no | — |
| 598 | #479 | — | 53 | 2 | no | — |
| 599 | #479 | — | 53 | 2 | no | — |
| 600 | #479 | — | 53 | 2 | no | — |
| 601 | #479 | — | 53 | 2 | no | — |
| 602 | #479 | — | 53 | 2 | no | — |
| 603 | #479 | — | 53 | 2 | no | — |
| 604 | #479 | C2×D53 | 1 | 2 | yes | — |
| 605 | #479 | C2×D53 | 1 | 2 | yes | — |
| 606 | #477 | — | 53 | 2 | no | — |
| 607 | #477 | — | 53 | 2 | no | — |
| 608 | #477 | — | 53 | 2 | no | — |
| 609 | #477 | — | 53 | 2 | no | — |
| 610 | #477 | — | 53 | 2 | no | — |
| 611 | #477 | C2×D53 | 1 | 2 | yes | — |
| 612 | #475 | — | 53 | 2 | no | — |
| 613 | #475 | — | 53 | 2 | no | — |
| 614 | #475 | — | 53 | 2 | no | — |
| 615 | #475 | — | 53 | 2 | no | — |
| 616 | #475 | — | 53 | 2 | no | — |
| 617 | #475 | C2×D53 | 1 | 2 | yes | — |
| 618 | #446 | — | 53 | 2 | no | — |
| 619 | #446 | — | 53 | 2 | no | — |
| 620 | C8×Q8 | — | 53 | 2 | no | — |
| 621 | C8×Q8 | — | 53 | 2 | no | — |
| 622 | #441 | — | 53 | 2 | no | — |
| 623 | #441 | — | 53 | 2 | no | — |
| 624 | #441 | — | 53 | 2 | no | — |
| 625 | #441 | — | 53 | 2 | no | — |
| 626 | C4×Q16 | — | 53 | 2 | no | — |
| 627 | C4×Q16 | — | 53 | 2 | no | — |
| 628 | C4×Q16 | — | 53 | 2 | no | — |
| 629 | C4×Q16 | — | 53 | 2 | no | — |
| 630 | C4×Q16 | — | 53 | 2 | no | — |
| 631 | C4×Q16 | — | 53 | 2 | no | — |
| 632 | C4×Q16 | — | 53 | 2 | no | — |
| 633 | C4×Q16 | — | 53 | 2 | no | — |
| 634 | #428 | — | 53 | 1 | no | — |
| 635 | #428 | — | 53 | 1 | no | — |
| 636 | #428 | — | 53 | 1 | no | — |
| 637 | #428 | C2×D53 | 1 | 1 | yes | characteristic |
| 638 | #427 | — | 53 | 1 | no | — |
| 639 | #427 | — | 53 | 1 | no | — |
| 640 | #427 | — | 53 | 1 | no | — |
| 641 | #427 | C2×D53 | 1 | 1 | yes | characteristic |
| 642 | C2×#107 | — | 53 | 1 | no | — |
| 643 | #424 | — | 53 | 1 | no | — |
| 644 | #424 | C2×D53 | 1 | 1 | yes | characteristic |
| 645 | #423 | — | 53 | 1 | no | — |
| 646 | #419 | — | 53 | 1 | no | — |
| 647 | #419 | — | 53 | 1 | no | — |
| 648 | #419 | — | 53 | 1 | no | — |
| 649 | #419 | C2×D53 | 1 | 1 | yes | characteristic |
| 650 | C2×#103 | — | 53 | 1 | no | — |
| 651 | C2×#103 | C2×D53 | 1 | 1 | yes | characteristic |
| 652 | #405 | — | 53 | 1 | no | — |
| 653 | #405 | — | 53 | 1 | no | — |
| 654 | C2×C4×C8 | — | 53 | 1 | no | — |
| 655 | C53 | #61372 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 656 | C22×Q8 | — | 53 | 1 | no | — |
| 657 | C22×Q8 | C22×D53 | 1 | 1 | yes | characteristic |
| 658 | C2×Q16 | — | 53 | 8 | no | — |
| 659 | C2×Q16 | — | 53 | 2 | no | — |
| 660 | C2×Q16 | — | 53 | 2 | no | — |
| 661 | C2×M16 | — | 53 | 1 | no | — |
| 662 | C2×M16 | C22×D53 | 1 | 1 | yes | characteristic |
| 663 | C22×C8 | — | 53 | 1 | no | — |
| 664 | C22×C8 | C22×D53 | 1 | 1 | yes | characteristic |
| 665 | C4⋊Q8 | — | 2 | 1 | no | — |
| 666 | C4⋊Q8 | — | 53 | 1 | no | — |
| 667 | C4⋊Q8 | — | 53 | 1 | no | — |
| 668 | C4⋊Q8 | — | 53 | 1 | no | — |
| 669 | C4⋊Q8 | — | 53 | 1 | no | — |
| 670 | C4⋊Q8 | — | 53 | 1 | no | — |
| 671 | C4⋊Q8 | — | 53 | 1 | no | — |
| 672 | C4⋊Q8 | — | 53 | 2 | no | — |
| 673 | C4⋊Q8 | — | 53 | 2 | no | — |
| 674 | C4⋊Q8 | — | 53 | 2 | no | — |
| 675 | C4⋊Q8 | — | 106 | 1 | no | — |
| 676 | C4⋊Q8 | — | 106 | 2 | no | — |
| 677 | C4⋊Q8 | — | 106 | 2 | no | — |
| 678 | C4⋊Q8 | — | 106 | 2 | no | — |
| 679 | C4⋊Q8 | — | 106 | 1 | no | — |
| 680 | C4⋊Q8 | — | 106 | 2 | no | — |
| 681 | C4⋊Q8 | — | 106 | 2 | no | — |
| 682 | C4⋊Q8 | — | 106 | 2 | no | — |
| 683 | C4⋊Q8 | — | 106 | 2 | no | — |
| 684 | C4⋊Q8 | — | 106 | 2 | no | — |
| 685 | C4⋊Q8 | — | 106 | 2 | no | — |
| 686 | C4⋊Q8 | — | 106 | 2 | no | — |
| 687 | C4⋊Q8 | — | 106 | 2 | no | — |
| 688 | C4⋊Q8 | — | 106 | 2 | no | — |
| 689 | C4⋊Q8 | — | 106 | 1 | no | — |
| 690 | C4⋊Q8 | C22×D53 | 1 | 2 | yes | — |
| 691 | #125 | — | 2 | 1 | no | — |
| 692 | #125 | — | 53 | 1 | no | — |
| 693 | #125 | — | 53 | 1 | no | — |
| 694 | #125 | — | 53 | 1 | no | — |
| 695 | #125 | — | 53 | 1 | no | — |
| 696 | #125 | — | 53 | 1 | no | — |
| 697 | #125 | — | 53 | 1 | no | — |
| 698 | #125 | — | 53 | 2 | no | — |
| 699 | #125 | — | 53 | 2 | no | — |
| 700 | #125 | — | 53 | 2 | no | — |
| 701 | #125 | — | 106 | 1 | no | — |
| 702 | #125 | — | 106 | 2 | no | — |
| 703 | #125 | — | 106 | 2 | no | — |
| 704 | #125 | — | 106 | 2 | no | — |
| 705 | #125 | — | 106 | 2 | no | — |
| 706 | #125 | — | 106 | 2 | no | — |
| 707 | #125 | — | 106 | 2 | no | — |
| 708 | #125 | — | 106 | 1 | no | — |
| 709 | #125 | — | 106 | 2 | no | — |
| 710 | #125 | — | 106 | 2 | no | — |
| 711 | #125 | — | 106 | 2 | no | — |
| 712 | #125 | — | 106 | 2 | no | — |
| 713 | #125 | — | 106 | 2 | no | — |
| 714 | #125 | — | 106 | 2 | no | — |
| 715 | #125 | — | 106 | 1 | no | — |
| 716 | #125 | C22×D53 | 1 | 2 | yes | — |
| 717 | C22⋊Q8 | — | 2 | 2 | no | — |
| 718 | C22⋊Q8 | — | 53 | 2 | no | — |
| 719 | C22⋊Q8 | — | 53 | 2 | no | — |
| 720 | C22⋊Q8 | — | 106 | 2 | no | — |
| 721 | C22⋊Q8 | — | 106 | 1 | no | — |
| 722 | C22⋊Q8 | — | 106 | 1 | no | — |
| 723 | C22⋊Q8 | — | 106 | 1 | no | — |
| 724 | C22⋊Q8 | — | 106 | 1 | no | — |
| 725 | C22⋊Q8 | — | 106 | 2 | no | — |
| 726 | C22⋊Q8 | — | 106 | 2 | no | — |
| 727 | C4×Q8 | — | 2 | 1 | no | — |
| 728 | C4×Q8 | — | 2 | 1 | no | — |
| 729 | C4×Q8 | — | 53 | 2 | no | — |
| 730 | C4×Q8 | — | 53 | 2 | no | — |
| 731 | C4×Q8 | — | 53 | 2 | no | — |
| 732 | C4×Q8 | — | 53 | 2 | no | — |
| 733 | C4×Q8 | — | 53 | 2 | no | — |
| 734 | C4×Q8 | — | 53 | 2 | no | — |
| 735 | C4×Q8 | — | 53 | 2 | no | — |
| 736 | C4×Q8 | — | 53 | 2 | no | — |
| 737 | C4×Q8 | — | 53 | 2 | no | — |
| 738 | C4×Q8 | — | 53 | 2 | no | — |
| 739 | C4×Q8 | — | 53 | 2 | no | — |
| 740 | C4×Q8 | — | 53 | 2 | no | — |
| 741 | C4×Q8 | — | 106 | 1 | no | — |
| 742 | C4×Q8 | — | 106 | 1 | no | — |
| 743 | C4×Q8 | — | 106 | 1 | no | — |
| 744 | C4×Q8 | — | 106 | 1 | no | — |
| 745 | C4×Q8 | — | 106 | 1 | no | — |
| 746 | C4×Q8 | — | 106 | 1 | no | — |
| 747 | C4×Q8 | — | 106 | 2 | no | — |
| 748 | C4×Q8 | — | 106 | 2 | no | — |
| 749 | C4×Q8 | — | 106 | 2 | no | — |
| 750 | C4×Q8 | — | 106 | 2 | no | — |
| 751 | C4×Q8 | — | 106 | 1 | no | — |
| 752 | C4×Q8 | — | 106 | 1 | no | — |
| 753 | C4×Q8 | — | 106 | 1 | no | — |
| 754 | C4×Q8 | — | 106 | 1 | no | — |
| 755 | C4×Q8 | — | 106 | 2 | no | — |
| 756 | C4×Q8 | — | 106 | 2 | no | — |
| 757 | C4×Q8 | — | 106 | 2 | no | — |
| 758 | C4×Q8 | — | 106 | 1 | no | — |
| 759 | C4×Q8 | — | 106 | 1 | no | — |
| 760 | C4×Q8 | — | 106 | 2 | no | — |
| 761 | C4×Q8 | — | 106 | 1 | no | — |
| 762 | C4×Q8 | — | 106 | 1 | no | — |
| 763 | C4×Q8 | C22×D53 | 1 | 2 | yes | — |
| 764 | C4×Q8 | C22×D53 | 1 | 2 | yes | — |
| 765 | #117 | — | 2 | 2 | no | — |
| 766 | #117 | — | 53 | 1 | no | — |
| 767 | #117 | — | 53 | 1 | no | — |
| 768 | #117 | — | 53 | 1 | no | — |
| 769 | #117 | — | 106 | 2 | no | — |
| 770 | #117 | — | 106 | 2 | no | — |
| 771 | #117 | — | 106 | 2 | no | — |
| 772 | #117 | C22×D53 | 1 | 1 | yes | characteristic |
| 773 | #117 | C22×D53 | 1 | 1 | yes | characteristic |
| 774 | #117 | C22×D53 | 1 | 1 | yes | characteristic |
| 775 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 776 | C2×C4⋊C4 | — | 106 | 1 | no | — |
| 777 | C2×C4⋊C4 | — | 106 | 1 | no | — |
| 778 | C2×C4⋊C4 | C22×D53 | 1 | 1 | yes | characteristic |
| 779 | C2×C42 | — | 53 | 1 | no | — |
| 780 | C2×C42 | — | 106 | 1 | no | — |
| 781 | C2×C42 | — | 106 | 1 | no | — |
| 782 | #107 | — | 53 | 1 | no | — |
| 783 | #107 | — | 53 | 1 | no | — |
| 784 | #107 | — | 53 | 2 | no | — |
| 785 | #107 | — | 53 | 2 | no | — |
| 786 | #107 | — | 53 | 2 | no | — |
| 787 | #107 | — | 53 | 1 | no | — |
| 788 | #107 | — | 53 | 1 | no | — |
| 789 | #107 | — | 53 | 1 | no | — |
| 790 | #107 | — | 53 | 1 | no | — |
| 791 | #107 | — | 53 | 2 | no | — |
| 792 | #107 | — | 53 | 2 | no | — |
| 793 | #107 | C22×D53 | 1 | 1 | yes | characteristic |
| 794 | #107 | C22×D53 | 1 | 1 | yes | characteristic |
| 795 | #107 | C22×D53 | 1 | 2 | yes | — |
| 796 | #106 | — | 53 | 1 | no | — |
| 797 | #106 | — | 53 | 1 | no | — |
| 798 | #106 | — | 53 | 2 | no | — |
| 799 | #106 | — | 53 | 1 | no | — |
| 800 | #106 | — | 53 | 1 | no | — |
| 801 | #106 | — | 53 | 1 | no | — |
| 802 | #106 | — | 53 | 1 | no | — |
| 803 | #106 | — | 53 | 2 | no | — |
| 804 | #106 | — | 53 | 2 | no | — |
| 805 | #106 | C22×D53 | 1 | 1 | yes | characteristic |
| 806 | #106 | C22×D53 | 1 | 1 | yes | characteristic |
| 807 | #106 | C22×D53 | 1 | 2 | yes | — |
| 808 | C4⋊C8 | — | 53 | 2 | no | — |
| 809 | C4⋊C8 | — | 53 | 2 | no | — |
| 810 | C4⋊C8 | — | 53 | 2 | no | — |
| 811 | C4⋊C8 | — | 53 | 2 | no | — |
| 812 | C4⋊C8 | C22×D53 | 1 | 2 | yes | — |
| 813 | C4⋊C8 | C22×D53 | 1 | 2 | yes | — |
| 814 | #103 | — | 53 | 2 | no | — |
| 815 | #103 | — | 53 | 2 | no | — |
| 816 | #103 | — | 53 | 2 | no | — |
| 817 | #103 | — | 53 | 2 | no | — |
| 818 | #103 | — | 53 | 2 | no | — |
| 819 | #103 | — | 53 | 2 | no | — |
| 820 | #103 | — | 53 | 2 | no | — |
| 821 | #103 | — | 53 | 2 | no | — |
| 822 | #103 | C22×D53 | 1 | 2 | yes | — |
| 823 | #103 | C22×D53 | 1 | 2 | yes | — |
| 824 | #103 | C22×D53 | 1 | 2 | yes | — |
| 825 | #103 | C22×D53 | 1 | 2 | yes | — |
| 826 | #97 | — | 53 | 2 | no | — |
| 827 | #97 | — | 53 | 2 | no | — |
| 828 | C4×C8 | — | 53 | 1 | no | — |
| 829 | C4×C8 | — | 53 | 1 | no | — |
| 830 | C4×C8 | — | 53 | 1 | no | — |
| 831 | C4×C8 | — | 53 | 1 | no | — |
| 832 | C4×C8 | — | 53 | 2 | no | — |
| 833 | C4×C8 | — | 53 | 2 | no | — |
| 834 | C2×Q8 | — | 2 | 1 | no | — |
| 835 | C2×Q8 | — | 2 | 2 | no | — |
| 836 | C2×Q8 | — | 2 | 2 | no | — |
| 837 | C2×Q8 | — | 53 | 2 | no | — |
| 838 | C2×Q8 | — | 53 | 2 | no | — |
| 839 | C2×Q8 | — | 53 | 4 | no | — |
| 840 | C2×Q8 | — | 53 | 2 | no | — |
| 841 | C2×Q8 | — | 106 | 1 | no | — |
| 842 | C2×Q8 | — | 106 | 2 | no | — |
| 843 | C2×Q8 | — | 106 | 1 | no | — |
| 844 | C2×Q8 | — | 106 | 2 | no | — |
| 845 | C2×Q8 | — | 106 | 1 | no | — |
| 846 | C2×Q8 | — | 106 | 1 | no | — |
| 847 | C2×Q8 | — | 106 | 1 | no | — |
| 848 | C2×Q8 | — | 106 | 2 | no | — |
| 849 | C2×Q8 | — | 106 | 2 | no | — |
| 850 | C2×Q8 | Q8×D53 | 1 | 4 | yes | — |
| 851 | C2×Q8 | C23×D53 | 1 | 2 | yes | — |
| 852 | C22×C4 | — | 2 | 1 | no | — |
| 853 | C22×C4 | — | 2 | 1 | no | — |
| 854 | C22×C4 | — | 53 | 1 | no | — |
| 855 | C22×C4 | — | 53 | 1 | no | — |
| 856 | C22×C4 | — | 106 | 1 | no | — |
| 857 | C22×C4 | — | 106 | 1 | no | — |
| 858 | C22×C4 | C23×D53 | 1 | 1 | yes | characteristic |
| 859 | Q16 | — | 53 | 8 | no | — |
| 860 | Q16 | — | 53 | 8 | no | — |
| 861 | M16 | — | 2 | 2 | no | — |
| 862 | M16 | — | 106 | 2 | no | — |
| 863 | C2×C8 | — | 2 | 2 | no | — |
| 864 | C2×C8 | — | 53 | 4 | no | — |
| 865 | C2×C8 | — | 53 | 1 | no | — |
| 866 | C2×C8 | — | 53 | 1 | no | — |
| 867 | C2×C8 | — | 53 | 2 | no | — |
| 868 | C2×C8 | C23×D53 | 1 | 1 | yes | characteristic |
| 869 | C2×C8 | C23×D53 | 1 | 1 | yes | characteristic |
| 870 | C2×C8 | C23×D53 | 1 | 2 | yes | — |
| 871 | C4⋊C4 | — | 2 | 1 | no | — |
| 872 | C4⋊C4 | — | 2 | 2 | no | — |
| 873 | C4⋊C4 | — | 2 | 2 | no | — |
| 874 | C4⋊C4 | — | 2 | 2 | no | — |
| 875 | C4⋊C4 | — | 2 | 2 | no | — |
| 876 | C4⋊C4 | — | 2 | 2 | no | — |
| 877 | C4⋊C4 | — | 53 | 1 | no | — |
| 878 | C4⋊C4 | — | 53 | 1 | no | — |
| 879 | C4⋊C4 | — | 53 | 2 | no | — |
| 880 | C4⋊C4 | — | 53 | 2 | no | — |
| 881 | C4⋊C4 | — | 53 | 2 | no | — |
| 882 | C4⋊C4 | — | 53 | 2 | no | — |
| 883 | C4⋊C4 | — | 53 | 2 | no | — |
| 884 | C4⋊C4 | — | 53 | 2 | no | — |
| 885 | C4⋊C4 | — | 53 | 1 | no | — |
| 886 | C4⋊C4 | — | 53 | 1 | no | — |
| 887 | C4⋊C4 | — | 53 | 2 | no | — |
| 888 | C4⋊C4 | — | 53 | 1 | no | — |
| 889 | C4⋊C4 | — | 53 | 1 | no | — |
| 890 | C4⋊C4 | — | 106 | 2 | no | — |
| 891 | C4⋊C4 | — | 106 | 2 | no | — |
| 892 | C4⋊C4 | — | 106 | 2 | no | — |
| 893 | C4⋊C4 | — | 106 | 2 | no | — |
| 894 | C4⋊C4 | — | 106 | 2 | no | — |
| 895 | C4⋊C4 | — | 106 | 2 | no | — |
| 896 | C4⋊C4 | — | 106 | 2 | no | — |
| 897 | C4⋊C4 | — | 106 | 2 | no | — |
| 898 | C4⋊C4 | — | 106 | 1 | no | — |
| 899 | C4⋊C4 | — | 106 | 1 | no | — |
| 900 | C4⋊C4 | — | 106 | 1 | no | — |
| 901 | C4⋊C4 | — | 106 | 1 | no | — |
| 902 | C4⋊C4 | — | 106 | 1 | no | — |
| 903 | C4⋊C4 | — | 106 | 1 | no | — |
| 904 | C4⋊C4 | — | 106 | 2 | no | — |
| 905 | C4⋊C4 | — | 106 | 2 | no | — |
| 906 | C4⋊C4 | — | 106 | 1 | no | — |
| 907 | C4⋊C4 | — | 106 | 1 | no | — |
| 908 | C4⋊C4 | — | 106 | 2 | no | — |
| 909 | C4⋊C4 | — | 106 | 1 | no | — |
| 910 | C4⋊C4 | — | 106 | 2 | no | — |
| 911 | C4⋊C4 | — | 106 | 1 | no | — |
| 912 | C4⋊C4 | — | 106 | 1 | no | — |
| 913 | C4⋊C4 | — | 106 | 1 | no | — |
| 914 | C4⋊C4 | — | 106 | 2 | no | — |
| 915 | C4⋊C4 | — | 106 | 2 | no | — |
| 916 | C4⋊C4 | — | 106 | 1 | no | — |
| 917 | C4⋊C4 | — | 106 | 2 | no | — |
| 918 | C4⋊C4 | — | 106 | 2 | no | — |
| 919 | C4⋊C4 | — | 106 | 2 | no | — |
| 920 | C4⋊C4 | — | 106 | 2 | no | — |
| 921 | C4⋊C4 | — | 106 | 2 | no | — |
| 922 | C4⋊C4 | D4×D53 | 1 | 1 | yes | characteristic |
| 923 | C4⋊C4 | D4×D53 | 1 | 1 | yes | characteristic |
| 924 | C4⋊C4 | C23×D53 | 1 | 1 | yes | characteristic |
| 925 | C4⋊C4 | C23×D53 | 1 | 1 | yes | characteristic |
| 926 | C4⋊C4 | C23×D53 | 1 | 1 | yes | characteristic |
| 927 | C4⋊C4 | C23×D53 | 1 | 2 | yes | — |
| 928 | C4⋊C4 | C23×D53 | 1 | 1 | yes | characteristic |
| 929 | C22⋊C4 | — | 2 | 1 | no | — |
| 930 | C22⋊C4 | — | 2 | 1 | no | — |
| 931 | C22⋊C4 | — | 53 | 2 | no | — |
| 932 | C22⋊C4 | — | 106 | 1 | no | — |
| 933 | C22⋊C4 | — | 106 | 1 | no | — |
| 934 | C22⋊C4 | D4×D53 | 1 | 2 | yes | — |
| 935 | C42 | — | 2 | 2 | no | — |
| 936 | C42 | — | 2 | 2 | no | — |
| 937 | C42 | — | 2 | 1 | no | — |
| 938 | C42 | — | 2 | 1 | no | — |
| 939 | C42 | — | 53 | 1 | no | — |
| 940 | C42 | — | 53 | 1 | no | — |
| 941 | C42 | — | 53 | 1 | no | — |
| 942 | C42 | — | 53 | 1 | no | — |
| 943 | C42 | — | 53 | 2 | no | — |
| 944 | C42 | — | 106 | 2 | no | — |
| 945 | C42 | — | 106 | 2 | no | — |
| 946 | C42 | — | 106 | 2 | no | — |
| 947 | C42 | — | 106 | 2 | no | — |
| 948 | C42 | — | 106 | 2 | no | — |
| 949 | C42 | — | 106 | 2 | no | — |
| 950 | C42 | — | 106 | 2 | no | — |
| 951 | C42 | — | 106 | 2 | no | — |
| 952 | C42 | — | 106 | 1 | no | — |
| 953 | C42 | — | 106 | 1 | no | — |
| 954 | C42 | — | 106 | 2 | no | — |
| 955 | C42 | — | 106 | 2 | no | — |
| 956 | C42 | C23×D53 | 1 | 2 | yes | — |
| 957 | C23 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 958 | Q8 | — | 2 | 4 | no | — |
| 959 | Q8 | — | 2 | 2 | no | — |
| 960 | Q8 | — | 8 | 2 | no | — |
| 961 | Q8 | — | 53 | 4 | no | — |
| 962 | Q8 | — | 106 | 4 | no | — |
| 963 | Q8 | — | 106 | 4 | no | — |
| 964 | Q8 | — | 106 | 2 | no | — |
| 965 | Q8 | — | 424 | 2 | no | — |
| 966 | Q8 | — | 424 | 2 | no | — |
| 967 | Q8 | — | 424 | 1 | no | — |
| 968 | Q8 | — | 424 | 1 | no | — |
| 969 | Q8 | — | 424 | 2 | no | — |
| 970 | Q8 | — | 212 | 2 | no | — |
| 971 | Q8 | — | 212 | 2 | no | — |
| 972 | Q8 | — | 212 | 2 | no | — |
| 973 | Q8 | C2×Q8×D53 | 1 | 4 | yes | — |
| 974 | C2×C4 | — | 2 | 4 | no | — |
| 975 | C2×C4 | — | 2 | 2 | no | — |
| 976 | C2×C4 | — | 2 | 1 | no | — |
| 977 | C2×C4 | — | 2 | 1 | no | — |
| 978 | C2×C4 | — | 2 | 1 | no | — |
| 979 | C2×C4 | — | 2 | 1 | no | — |
| 980 | C2×C4 | — | 2 | 2 | no | — |
| 981 | C2×C4 | — | 8 | 1 | no | — |
| 982 | C2×C4 | — | 53 | 1 | no | — |
| 983 | C2×C4 | — | 53 | 1 | no | — |
| 984 | C2×C4 | — | 53 | 1 | no | — |
| 985 | C2×C4 | — | 53 | 1 | no | — |
| 986 | C2×C4 | — | 53 | 2 | no | — |
| 987 | C2×C4 | — | 53 | 2 | no | — |
| 988 | C2×C4 | — | 106 | 2 | no | — |
| 989 | C2×C4 | — | 106 | 4 | no | — |
| 990 | C2×C4 | — | 106 | 2 | no | — |
| 991 | C2×C4 | — | 106 | 1 | no | — |
| 992 | C2×C4 | — | 106 | 1 | no | — |
| 993 | C2×C4 | — | 106 | 1 | no | — |
| 994 | C2×C4 | — | 106 | 1 | no | — |
| 995 | C2×C4 | — | 106 | 2 | no | — |
| 996 | C2×C4 | — | 424 | 1 | no | — |
| 997 | C2×C4 | — | 212 | 1 | no | — |
| 998 | C2×C4 | C2×D4×D53 | 1 | 2 | yes | — |
| 999 | C2×C4 | C2×D4×D53 | 1 | 2 | yes | — |
| 1000 | C2×C4 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 1001 | C2×C4 | C2×Q8×D53 | 1 | 2 | yes | — |
| 1002 | C2×C4 | #13133264 | 1 | 2 | yes | — |
| 1003 | C2×C4 | C24×D53 | 1 | 1 | yes | characteristic |
| 1004 | C8 | — | 2 | 1 | no | — |
| 1005 | C8 | — | 2 | 1 | no | — |
| 1006 | C8 | — | 2 | 2 | no | — |
| 1007 | C8 | — | 53 | 2 | no | — |
| 1008 | C8 | — | 53 | 2 | no | — |
| 1009 | C8 | — | 106 | 2 | no | — |
| 1010 | C22 | — | 2 | 1 | no | — |
| 1011 | C22 | — | 2 | 1 | no | — |
| 1012 | C22 | #16811286 | 1 | 2 | yes | — |
| 1013 | C22 | C22×D4×D53 | 1 | 1 | yes | characteristic |
| 1014 | C4 | — | 2 | 4 | no | — |
| 1015 | C4 | — | 2 | 2 | no | — |
| 1016 | C4 | — | 2 | 2 | no | — |
| 1017 | C4 | — | 4 | 1 | no | — |
| 1018 | C4 | — | 4 | 1 | no | — |
| 1019 | C4 | — | 4 | 2 | no | — |
| 1020 | C4 | — | 4 | 1 | no | — |
| 1021 | C4 | — | 4 | 1 | no | — |
| 1022 | C4 | — | 53 | 2 | no | — |
| 1023 | C4 | — | 106 | 4 | no | — |
| 1024 | C4 | — | 106 | 1 | no | — |
| 1025 | C4 | — | 106 | 2 | no | — |
| 1026 | C4 | — | 106 | 1 | no | — |
| 1027 | C4 | — | 106 | 1 | no | — |
| 1028 | C4 | — | 106 | 2 | no | — |
| 1029 | C4 | — | 212 | 1 | no | — |
| 1030 | C4 | — | 212 | 1 | no | — |
| 1031 | C4 | — | 212 | 2 | no | — |
| 1032 | C4 | — | 212 | 1 | no | — |
| 1033 | C4 | — | 212 | 1 | no | — |
| 1034 | C4 | #16811286 | 1 | 2 | yes | — |
| 1035 | C4 | C22×Q8×D53 | 1 | 1 | yes | characteristic |
| 1036 | C4 | C2×#13133264 | 1 | 1 | yes | characteristic |
| 1037 | C2 | — | 2 | 2 | no | — |
| 1038 | C2 | C2×#16811286 | 1 | 1 | yes | characteristic |
| 1039 | C2 | #578×D53 | 1 | 1 | yes | characteristic |
| 1040 | C2 | #20289487 | 1 | 1 | yes | characteristic |
Complements
Splittings G = N ⋊ H with N normal; H ≅ G/N.
Maximal subgroups
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
Finite Group Databasebeta