Finite Group DatabasebetaFinite Group DatabasebetaOrder 13568.
4726 conjugacy classes of subgroups.
The subgroup lattice has 1322 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C22×#13133265 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#16811422 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×#137×D53 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #20288045 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #20284031 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | #20284025 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #20284005 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #20283996 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #20283961 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #20283960 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #20283956 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #20283955 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #20283951 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #20283949 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #20283947 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #20283233 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 17 | #419×D53 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 18 | #20283158 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 19 | C53×#3004 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 20 | C2×#13133265 | — | 2 | 8 | no | — |
| 21 | C2×#13133265 | — | 2 | 2 | no | — |
| 22 | C2×#13133265 | — | 2 | 2 | no | — |
| 23 | C2×#13133265 | — | 2 | 8 | no | — |
| 24 | C2×#13133265 | C22 | 1 | 4 | yes | — |
| 25 | C2×#13133265 | C22 | 1 | 4 | yes | complemented |
| 26 | C22×#11719949 | — | 2 | 1 | no | — |
| 27 | C22×#11719949 | C22 | 1 | 1 | yes | characteristic |
| 28 | C22×#11719949 | C22 | 1 | 1 | yes | characteristic, complemented |
| 29 | C22×#11719945 | — | 2 | 1 | no | — |
| 30 | C22×#11719945 | — | 2 | 1 | no | — |
| 31 | C22×#11719945 | C22 | 1 | 1 | yes | characteristic |
| 32 | C22×#11719945 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | C2×#41×D53 | C22 | 1 | 1 | yes | characteristic |
| 34 | C22×Q8×D53 | — | 2 | 1 | no | — |
| 35 | C22×Q8×D53 | C22 | 1 | 1 | yes | characteristic |
| 36 | C22×Q8×D53 | C22 | 1 | 1 | yes | characteristic, complemented |
| 37 | #16811422 | — | 2 | 8 | no | — |
| 38 | C2×#13133250 | C22 | 1 | 1 | yes | characteristic |
| 39 | C2×#13133249 | C22 | 1 | 2 | yes | complemented |
| 40 | C2×#13133249 | C22 | 1 | 2 | yes | complemented |
| 41 | C2×#13133248 | C22 | 1 | 1 | yes | characteristic |
| 42 | C2×#13133248 | C22 | 1 | 1 | yes | characteristic |
| 43 | C2×#13133247 | C22 | 1 | 1 | yes | characteristic |
| 44 | C2×#13133246 | C22 | 1 | 2 | yes | complemented |
| 45 | #137×D53 | — | 2 | 8 | no | — |
| 46 | C2×#13133245 | C22 | 1 | 1 | yes | characteristic |
| 47 | C2×#13133244 | C22 | 1 | 2 | yes | complemented |
| 48 | C2×#13133242 | C22 | 1 | 1 | yes | characteristic |
| 49 | C2×#13133240 | C22 | 1 | 2 | yes | complemented |
| 50 | C2×#13133238 | C22 | 1 | 2 | yes | complemented |
| 51 | C2×Q16×D53 | C22 | 1 | 2 | yes | complemented |
| 52 | C2×SD16×D53 | C22 | 1 | 2 | yes | complemented |
| 53 | C2×M16×D53 | C22 | 1 | 1 | yes | characteristic |
| 54 | C2×M16×D53 | C22 | 1 | 1 | yes | characteristic |
| 55 | #16811203 | C22 | 1 | 2 | yes | complemented |
| 56 | #16811202 | C22 | 1 | 2 | yes | complemented |
| 57 | #16811196 | C22 | 1 | 2 | yes | complemented |
| 58 | #16811195 | — | 2 | 1 | no | — |
| 59 | #16811189 | C22 | 1 | 2 | yes | complemented |
| 60 | #16811188 | — | 2 | 1 | no | — |
| 61 | #16811184 | — | 2 | 1 | no | — |
| 62 | #16811183 | — | 2 | 1 | no | — |
| 63 | #16811170 | — | 2 | 2 | no | — |
| 64 | #16811135 | C22 | 1 | 1 | yes | characteristic |
| 65 | #16811134 | C22 | 1 | 1 | yes | characteristic |
| 66 | #16811132 | — | 2 | 2 | no | — |
| 67 | #16811130 | C22 | 1 | 1 | yes | characteristic |
| 68 | #117×D53 | C22 | 1 | 1 | yes | characteristic |
| 69 | #16810788 | C22 | 1 | 4 | yes | complemented |
| 70 | #16810787 | C22 | 1 | 4 | yes | complemented |
| 71 | #16810784 | C22 | 1 | 4 | yes | complemented |
| 72 | #16810783 | C22 | 1 | 4 | yes | complemented |
| 73 | #16810780 | C22 | 1 | 4 | yes | complemented |
| 74 | #16810779 | C22 | 1 | 4 | yes | complemented |
| 75 | #16810777 | C22 | 1 | 4 | yes | complemented |
| 76 | #16810771 | C22 | 1 | 4 | yes | complemented |
| 77 | #16810770 | C22 | 1 | 4 | yes | complemented |
| 78 | #16810767 | C22 | 1 | 4 | yes | complemented |
| 79 | #16810766 | C22 | 1 | 4 | yes | complemented |
| 80 | #16810763 | C22 | 1 | 4 | yes | complemented |
| 81 | #16810762 | C22 | 1 | 4 | yes | complemented |
| 82 | #16810760 | C22 | 1 | 4 | yes | complemented |
| 83 | #16810633 | C22 | 1 | 1 | yes | characteristic, complemented |
| 84 | #16810632 | C22 | 1 | 1 | yes | characteristic, complemented |
| 85 | #16810632 | C22 | 1 | 1 | yes | characteristic, complemented |
| 86 | #16810631 | C22 | 1 | 1 | yes | characteristic, complemented |
| 87 | #16810630 | C22 | 1 | 4 | yes | complemented |
| 88 | #16810629 | C22 | 1 | 1 | yes | characteristic, complemented |
| 89 | #16810627 | C22 | 1 | 1 | yes | characteristic, complemented |
| 90 | #16810623 | C22 | 1 | 4 | yes | complemented |
| 91 | #16810618 | C22 | 1 | 4 | yes | complemented |
| 92 | #103×D53 | C22 | 1 | 4 | yes | complemented |
| 93 | #16810588 | C22 | 1 | 4 | yes | complemented |
| 94 | #16810588 | C22 | 1 | 4 | yes | complemented |
| 95 | #16810587 | C22 | 1 | 1 | yes | characteristic, complemented |
| 96 | #16810586 | C22 | 1 | 1 | yes | characteristic, complemented |
| 97 | #16810586 | C22 | 1 | 1 | yes | characteristic, complemented |
| 98 | C23×Q8×C53 | C22 | 1 | 1 | yes | characteristic, complemented |
| 99 | C2×#137×C53 | C22 | 1 | 1 | yes | characteristic |
| 100 | C2×#137×C53 | C22 | 1 | 1 | yes | characteristic |
| 101 | C53×#525 | C22 | 1 | 1 | yes | characteristic |
| 102 | C53×#451 | C22 | 1 | 4 | yes | complemented |
| 103 | C53×#448 | C22 | 1 | 4 | yes | complemented |
| 104 | C53×#419 | C22 | 1 | 1 | yes | characteristic, complemented |
| 105 | C53×#419 | C22 | 1 | 1 | yes | characteristic, complemented |
| 106 | C53×#407 | C22 | 1 | 1 | yes | characteristic, complemented |
| 107 | #13133265 | — | 2 | 32 | no | — |
| 108 | #13133265 | — | 2 | 32 | no | — |
| 109 | #13133265 | — | 2 | 16 | no | — |
| 110 | #13133265 | — | 2 | 16 | no | — |
| 111 | #13133265 | — | 2 | 16 | no | — |
| 112 | #13133265 | — | 2 | 16 | no | — |
| 113 | C2×#11719949 | — | 2 | 16 | no | — |
| 114 | C2×#11719949 | — | 2 | 4 | no | — |
| 115 | C2×#11719949 | — | 2 | 4 | no | — |
| 116 | C2×#11719949 | — | 2 | 4 | no | — |
| 117 | C2×#11719949 | — | 2 | 4 | no | — |
| 118 | C2×#11719949 | — | 2 | 4 | no | — |
| 119 | C2×#11719949 | — | 2 | 1 | no | — |
| 120 | C2×#11719949 | — | 2 | 1 | no | — |
| 121 | C2×#11719949 | — | 2 | 2 | no | — |
| 122 | C2×#11719949 | D4 | 1 | 8 | yes | complemented |
| 123 | C2×#11719949 | C23 | 1 | 4 | yes | — |
| 124 | C2×#11719949 | C23 | 1 | 1 | yes | characteristic |
| 125 | C2×#11719949 | C23 | 1 | 2 | yes | — |
| 126 | C2×#11719949 | C23 | 1 | 2 | yes | — |
| 127 | C2×#11719945 | — | 2 | 16 | no | — |
| 128 | C2×#11719945 | — | 2 | 16 | no | — |
| 129 | C2×#11719945 | — | 2 | 2 | no | — |
| 130 | C2×#11719945 | — | 2 | 4 | no | — |
| 131 | C2×#11719945 | — | 2 | 4 | no | — |
| 132 | C2×#11719945 | — | 2 | 4 | no | — |
| 133 | C2×#11719945 | — | 2 | 4 | no | — |
| 134 | C2×#11719945 | — | 2 | 4 | no | — |
| 135 | C2×#11719945 | — | 2 | 4 | no | — |
| 136 | C2×#11719945 | — | 2 | 4 | no | — |
| 137 | C2×#11719945 | — | 2 | 1 | no | — |
| 138 | C2×#11719945 | — | 2 | 4 | no | — |
| 139 | C2×#11719945 | D4 | 1 | 2 | yes | — |
| 140 | C2×#11719945 | D4 | 1 | 2 | yes | — |
| 141 | C2×#11719945 | C23 | 1 | 2 | yes | — |
| 142 | C2×#11719945 | C23 | 1 | 2 | yes | — |
| 143 | C2×#11719945 | C23 | 1 | 4 | yes | — |
| 144 | C2×#11719945 | C23 | 1 | 1 | yes | characteristic |
| 145 | C2×#11719947 | — | 2 | 1 | no | — |
| 146 | C2×#11719947 | C23 | 1 | 1 | yes | characteristic |
| 147 | #41×D53 | — | 2 | 4 | no | — |
| 148 | #41×D53 | — | 2 | 4 | no | — |
| 149 | C22×Dic106 | — | 2 | 1 | no | — |
| 150 | C22×Dic106 | — | 2 | 1 | no | — |
| 151 | C22×Dic106 | D4 | 1 | 1 | yes | characteristic |
| 152 | C22×Dic106 | C23 | 1 | 1 | yes | characteristic |
| 153 | C2×Q8×D53 | — | 2 | 16 | no | — |
| 154 | C2×Q8×D53 | — | 2 | 4 | no | — |
| 155 | C2×Q8×D53 | — | 2 | 4 | no | — |
| 156 | C2×Q8×D53 | — | 2 | 1 | no | — |
| 157 | C2×Q8×D53 | — | 2 | 1 | no | — |
| 158 | C2×Q8×D53 | — | 2 | 2 | no | — |
| 159 | C2×Q8×D53 | — | 2 | 4 | no | — |
| 160 | C2×Q8×D53 | — | 2 | 4 | no | — |
| 161 | C2×Q8×D53 | — | 2 | 4 | no | — |
| 162 | C2×Q8×D53 | D4 | 1 | 8 | yes | complemented |
| 163 | C2×Q8×D53 | C23 | 1 | 4 | yes | — |
| 164 | C2×Q8×D53 | C23 | 1 | 1 | yes | characteristic |
| 165 | C2×Q8×D53 | C23 | 1 | 2 | yes | — |
| 166 | C2×Q8×D53 | C23 | 1 | 2 | yes | — |
| 167 | C22×D212 | — | 2 | 1 | no | — |
| 168 | C22×D212 | — | 2 | 1 | no | — |
| 169 | C22×D212 | D4 | 1 | 1 | yes | characteristic |
| 170 | C22×D212 | C23 | 1 | 1 | yes | characteristic |
| 171 | C22×C22⋊D53 | — | 2 | 1 | no | — |
| 172 | C22×C22⋊D53 | D4 | 1 | 1 | yes | characteristic |
| 173 | C22×C22⋊D53 | D4 | 1 | 1 | yes | characteristic |
| 174 | C2×D4×D53 | — | 2 | 1 | no | — |
| 175 | C2×D4×D53 | C23 | 1 | 1 | yes | characteristic |
| 176 | C22×C4×D53 | — | 2 | 1 | no | — |
| 177 | C22×C4×D53 | — | 2 | 1 | no | — |
| 178 | C22×C4×D53 | — | 2 | 1 | no | — |
| 179 | C22×C4×D53 | — | 2 | 1 | no | — |
| 180 | C22×C4×D53 | — | 2 | 1 | no | — |
| 181 | C22×C4×D53 | — | 2 | 1 | no | — |
| 182 | C22×C4×D53 | C23 | 1 | 1 | yes | characteristic |
| 183 | C22×C4×D53 | C23 | 1 | 1 | yes | characteristic |
| 184 | #13133250 | — | 2 | 4 | no | — |
| 185 | #13133249 | — | 2 | 8 | no | — |
| 186 | #13133249 | — | 2 | 8 | no | — |
| 187 | #13133248 | — | 2 | 4 | no | — |
| 188 | #13133248 | — | 2 | 4 | no | — |
| 189 | #13133247 | — | 2 | 4 | no | — |
| 190 | #13133246 | — | 2 | 8 | no | — |
| 191 | #13133245 | — | 2 | 4 | no | — |
| 192 | #13133244 | — | 2 | 8 | no | — |
| 193 | #13133242 | — | 2 | 4 | no | — |
| 194 | #13133240 | — | 2 | 8 | no | — |
| 195 | #13133238 | — | 2 | 8 | no | — |
| 196 | C2×Dic212 | C23 | 1 | 2 | yes | — |
| 197 | C2×#11719925 | C23 | 1 | 2 | yes | — |
| 198 | C2×#11719925 | C23 | 1 | 2 | yes | — |
| 199 | C2×#11719925 | C23 | 1 | 2 | yes | — |
| 200 | Q16×D53 | — | 2 | 8 | no | — |
| 201 | C2×#11719913 | C23 | 1 | 2 | yes | — |
| 202 | C2×#11719913 | C23 | 1 | 2 | yes | — |
| 203 | C2×#11719923 | C23 | 1 | 2 | yes | — |
| 204 | C2×#11719924 | C23 | 1 | 2 | yes | — |
| 205 | C2×#11719924 | C23 | 1 | 2 | yes | — |
| 206 | C2×#11719924 | C23 | 1 | 2 | yes | — |
| 207 | SD16×D53 | — | 2 | 8 | no | — |
| 208 | C2×D424 | C23 | 1 | 2 | yes | — |
| 209 | C2×#11719922 | C23 | 1 | 2 | yes | — |
| 210 | C2×#11719917 | C23 | 1 | 1 | yes | characteristic |
| 211 | C2×#11719917 | C23 | 1 | 1 | yes | characteristic |
| 212 | C2×#11719912 | C23 | 1 | 2 | yes | — |
| 213 | C2×#11719912 | C23 | 1 | 2 | yes | — |
| 214 | M16×D53 | — | 2 | 4 | no | — |
| 215 | M16×D53 | — | 2 | 4 | no | — |
| 216 | C2×C8×D53 | C23 | 1 | 2 | yes | — |
| 217 | C2×C8×D53 | C23 | 1 | 2 | yes | — |
| 218 | #13133216 | — | 2 | 2 | no | — |
| 219 | #13133213 | — | 2 | 2 | no | — |
| 220 | #13133203 | — | 2 | 2 | no | — |
| 221 | #13133203 | — | 2 | 2 | no | — |
| 222 | #13133202 | — | 2 | 2 | no | — |
| 223 | #13133201 | — | 2 | 1 | no | — |
| 224 | #13133200 | — | 2 | 1 | no | — |
| 225 | #13133199 | — | 2 | 2 | no | — |
| 226 | #13133198 | — | 2 | 1 | no | — |
| 227 | #13133197 | C23 | 1 | 2 | yes | — |
| 228 | #13133196 | C23 | 1 | 2 | yes | — |
| 229 | #13133195 | — | 2 | 2 | no | — |
| 230 | #13133194 | — | 2 | 2 | no | — |
| 231 | #13133193 | C23 | 1 | 2 | yes | — |
| 232 | #13133192 | — | 2 | 2 | no | — |
| 233 | #13133192 | C23 | 1 | 2 | yes | — |
| 234 | #13133191 | C23 | 1 | 2 | yes | — |
| 235 | #13133190 | — | 2 | 2 | no | — |
| 236 | #13133190 | — | 2 | 2 | no | — |
| 237 | #13133190 | — | 2 | 2 | no | — |
| 238 | #13133189 | — | 2 | 2 | no | — |
| 239 | #13133188 | — | 2 | 2 | no | — |
| 240 | #13133188 | C23 | 1 | 2 | yes | — |
| 241 | #13133187 | — | 2 | 1 | no | — |
| 242 | #13133187 | — | 2 | 2 | no | — |
| 243 | #13133186 | — | 2 | 1 | no | — |
| 244 | #13133185 | — | 2 | 1 | no | — |
| 245 | #13133185 | — | 2 | 2 | no | — |
| 246 | C4×D212 | — | 2 | 2 | no | — |
| 247 | C4×C22⋊D53 | — | 2 | 2 | no | — |
| 248 | C4×C22⋊D53 | — | 2 | 2 | no | — |
| 249 | #13133176 | C23 | 1 | 1 | yes | characteristic |
| 250 | #13133175 | C23 | 1 | 2 | yes | — |
| 251 | #13133174 | — | 2 | 1 | no | — |
| 252 | #13133173 | — | 2 | 1 | no | — |
| 253 | C4⋊C4×D53 | C23 | 1 | 2 | yes | — |
| 254 | C22⋊C4×D53 | — | 2 | 1 | no | — |
| 255 | C42×D53 | — | 2 | 1 | no | — |
| 256 | #13133142 | C23 | 1 | 4 | yes | — |
| 257 | #13133141 | C23 | 1 | 4 | yes | — |
| 258 | #13133141 | C23 | 1 | 4 | yes | — |
| 259 | #13133140 | C23 | 1 | 4 | yes | — |
| 260 | #13133139 | C23 | 1 | 4 | yes | — |
| 261 | #13133137 | C23 | 1 | 4 | yes | — |
| 262 | C22⋊#88322 | C23 | 1 | 4 | yes | — |
| 263 | #13133129 | C23 | 1 | 4 | yes | — |
| 264 | #13133129 | C23 | 1 | 4 | yes | — |
| 265 | C2×#41×C53 | C23 | 1 | 1 | yes | characteristic |
| 266 | C22×Q8×C53 | — | 2 | 4 | no | — |
| 267 | C22×Q8×C53 | — | 2 | 4 | no | — |
| 268 | C22×Q8×C53 | — | 2 | 1 | no | — |
| 269 | C22×Q8×C53 | — | 2 | 2 | no | — |
| 270 | C22×Q8×C53 | C23 | 1 | 4 | yes | — |
| 271 | C22×Q8×C53 | C23 | 1 | 1 | yes | characteristic |
| 272 | C22×Q8×C53 | C23 | 1 | 1 | yes | characteristic |
| 273 | C23×C4×C53 | — | 2 | 1 | no | — |
| 274 | C23×C4×C53 | C23 | 1 | 1 | yes | characteristic |
| 275 | #137×C53 | — | 2 | 4 | no | — |
| 276 | #137×C53 | — | 2 | 4 | no | — |
| 277 | C2×Q16×C53 | C23 | 1 | 2 | yes | — |
| 278 | C2×Q16×C53 | C23 | 1 | 2 | yes | — |
| 279 | C2×SD16×C53 | C23 | 1 | 2 | yes | — |
| 280 | C2×SD16×C53 | C23 | 1 | 2 | yes | — |
| 281 | C2×M16×C53 | C23 | 1 | 1 | yes | characteristic |
| 282 | C2×M16×C53 | C23 | 1 | 1 | yes | characteristic |
| 283 | #123×C53 | — | 2 | 1 | no | — |
| 284 | C22⋊Q8×C53 | C23 | 1 | 2 | yes | — |
| 285 | #121×C53 | C23 | 1 | 2 | yes | — |
| 286 | #120×C53 | — | 2 | 1 | no | — |
| 287 | C4×D4×C53 | — | 2 | 2 | no | — |
| 288 | #117×C53 | C23 | 1 | 1 | yes | characteristic |
| 289 | #103×C53 | C23 | 1 | 4 | yes | — |
| 290 | #103×C53 | C23 | 1 | 4 | yes | — |
| 291 | C22⋊C8×C53 | C23 | 1 | 4 | yes | — |
| 292 | C24×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 293 | C23×D53 | — | 2 | 1 | no | — |
| 294 | C23×D53 | — | 2 | 1 | no | — |
| 295 | C23×D53 | C2×D4 | 1 | 1 | yes | characteristic |
| 296 | C23×D53 | C2×D4 | 1 | 1 | yes | characteristic |
| 297 | #41×C53 | — | 2 | 2 | no | — |
| 298 | #41×C53 | — | 2 | 2 | no | — |
| 299 | C2×Q8×C53 | — | 2 | 8 | no | — |
| 300 | C2×Q8×C53 | — | 2 | 16 | no | — |
| 301 | C2×Q8×C53 | — | 2 | 8 | no | — |
| 302 | C2×Q8×C53 | — | 2 | 8 | no | — |
| 303 | C2×Q8×C53 | — | 2 | 2 | no | — |
| 304 | C2×Q8×C53 | — | 2 | 2 | no | — |
| 305 | C2×Q8×C53 | — | 2 | 4 | no | — |
| 306 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 307 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 308 | C2×Q8×C53 | C2×D4 | 1 | 4 | yes | — |
| 309 | C2×Q8×C53 | C2×D4 | 1 | 4 | yes | — |
| 310 | C2×Q8×C53 | C24 | 1 | 1 | yes | characteristic |
| 311 | C2×Q8×C53 | C24 | 1 | 2 | yes | — |
| 312 | C2×Q8×C53 | C24 | 1 | 2 | yes | — |
| 313 | C2×D4×C53 | — | 2 | 1 | no | — |
| 314 | C2×D4×C53 | — | 2 | 2 | no | — |
| 315 | C2×D4×C53 | C24 | 1 | 1 | yes | characteristic |
| 316 | C22×C4×C53 | — | 2 | 8 | no | — |
| 317 | C22×C4×C53 | — | 2 | 1 | no | — |
| 318 | C22×C4×C53 | — | 2 | 1 | no | — |
| 319 | C22×C4×C53 | — | 2 | 4 | no | — |
| 320 | C22×C4×C53 | — | 2 | 2 | no | — |
| 321 | C22×C4×C53 | — | 2 | 2 | no | — |
| 322 | C22×C4×C53 | — | 2 | 1 | no | — |
| 323 | C22×C4×C53 | C2×D4 | 1 | 2 | yes | — |
| 324 | C22×C4×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 325 | C22×C4×C53 | C24 | 1 | 2 | yes | — |
| 326 | C22×C4×C53 | C24 | 1 | 1 | yes | characteristic |
| 327 | C2×C22⋊D53 | — | 2 | 8 | no | — |
| 328 | C2×C22⋊D53 | — | 2 | 4 | no | — |
| 329 | C2×C22⋊D53 | — | 2 | 4 | no | — |
| 330 | C2×C22⋊D53 | — | 2 | 1 | no | — |
| 331 | C2×C22⋊D53 | — | 2 | 1 | no | — |
| 332 | C2×C22⋊D53 | — | 2 | 2 | no | — |
| 333 | C2×C22⋊D53 | — | 2 | 2 | no | — |
| 334 | C2×C22⋊D53 | — | 2 | 4 | no | — |
| 335 | C2×C22⋊D53 | — | 2 | 1 | no | — |
| 336 | C2×C22⋊D53 | C2×D4 | 1 | 2 | yes | — |
| 337 | C2×C22⋊D53 | C2×D4 | 1 | 2 | yes | — |
| 338 | C2×C22⋊D53 | C2×D4 | 1 | 2 | yes | — |
| 339 | C2×C22⋊D53 | C2×D4 | 1 | 2 | yes | — |
| 340 | C22×Dic53 | — | 2 | 1 | no | — |
| 341 | C22×Dic53 | — | 2 | 1 | no | — |
| 342 | C22×Dic53 | C2×D4 | 1 | 1 | yes | characteristic |
| 343 | C22×Dic53 | C2×D4 | 1 | 1 | yes | characteristic |
| 344 | #11719949 | — | 2 | 32 | no | — |
| 345 | #11719949 | — | 2 | 32 | no | — |
| 346 | #11719949 | — | 2 | 16 | no | — |
| 347 | #11719949 | — | 2 | 8 | no | — |
| 348 | #11719949 | — | 2 | 8 | no | — |
| 349 | #11719949 | — | 2 | 8 | no | — |
| 350 | #11719949 | — | 2 | 8 | no | — |
| 351 | #11719949 | — | 2 | 4 | no | — |
| 352 | #11719949 | — | 2 | 4 | no | — |
| 353 | #11719949 | — | 2 | 2 | no | — |
| 354 | #11719949 | — | 2 | 2 | no | — |
| 355 | #11719949 | C2×D4 | 1 | 8 | yes | — |
| 356 | #11719949 | C2×D4 | 1 | 8 | yes | — |
| 357 | Q8×D53 | — | 2 | 16 | no | — |
| 358 | Q8×D53 | — | 2 | 32 | no | — |
| 359 | Q8×D53 | — | 2 | 32 | no | — |
| 360 | Q8×D53 | — | 2 | 8 | no | — |
| 361 | Q8×D53 | — | 2 | 8 | no | — |
| 362 | Q8×D53 | — | 2 | 8 | no | — |
| 363 | Q8×D53 | — | 2 | 4 | no | — |
| 364 | Q8×D53 | — | 2 | 4 | no | — |
| 365 | Q8×D53 | — | 2 | 8 | no | — |
| 366 | Q8×D53 | — | 2 | 2 | no | — |
| 367 | Q8×D53 | — | 2 | 2 | no | — |
| 368 | Q8×D53 | C2×D4 | 1 | 8 | yes | — |
| 369 | Q8×D53 | C2×D4 | 1 | 8 | yes | — |
| 370 | #11719947 | — | 2 | 2 | no | — |
| 371 | #11719947 | — | 2 | 2 | no | — |
| 372 | #11719947 | — | 4 | 4 | no | — |
| 373 | D4×D53 | — | 2 | 2 | no | — |
| 374 | D4×D53 | — | 2 | 2 | no | — |
| 375 | D4×D53 | — | 4 | 4 | no | — |
| 376 | #11719945 | — | 2 | 32 | no | — |
| 377 | #11719945 | — | 2 | 32 | no | — |
| 378 | #11719945 | — | 2 | 16 | no | — |
| 379 | #11719945 | — | 2 | 32 | no | — |
| 380 | #11719945 | — | 2 | 32 | no | — |
| 381 | #11719945 | — | 2 | 8 | no | — |
| 382 | #11719945 | — | 2 | 8 | no | — |
| 383 | #11719945 | — | 2 | 8 | no | — |
| 384 | #11719945 | — | 2 | 4 | no | — |
| 385 | #11719945 | — | 2 | 4 | no | — |
| 386 | #11719945 | — | 2 | 4 | no | — |
| 387 | #11719945 | — | 2 | 4 | no | — |
| 388 | #11719945 | — | 2 | 2 | no | — |
| 389 | #11719945 | — | 2 | 2 | no | — |
| 390 | #11719945 | — | 2 | 8 | no | — |
| 391 | #11719945 | — | 4 | 4 | no | — |
| 392 | C2×D212 | — | 2 | 8 | no | — |
| 393 | C2×D212 | — | 2 | 8 | no | — |
| 394 | C2×D212 | — | 2 | 4 | no | — |
| 395 | C2×D212 | — | 2 | 4 | no | — |
| 396 | C2×D212 | — | 2 | 2 | no | — |
| 397 | C2×D212 | — | 2 | 2 | no | — |
| 398 | C2×D212 | — | 2 | 1 | no | — |
| 399 | C2×D212 | — | 2 | 2 | no | — |
| 400 | C2×D212 | — | 2 | 1 | no | — |
| 401 | C2×D212 | — | 2 | 2 | no | — |
| 402 | C2×D212 | C2×D4 | 1 | 2 | yes | — |
| 403 | C2×D212 | C2×D4 | 1 | 2 | yes | — |
| 404 | C2×D212 | C2×D4 | 1 | 4 | yes | — |
| 405 | C2×D212 | C24 | 1 | 1 | yes | characteristic |
| 406 | C2×D212 | C24 | 1 | 2 | yes | — |
| 407 | C2×C4×D53 | — | 2 | 8 | no | — |
| 408 | C2×C4×D53 | — | 2 | 8 | no | — |
| 409 | C2×C4×D53 | — | 2 | 8 | no | — |
| 410 | C2×C4×D53 | — | 2 | 8 | no | — |
| 411 | C2×C4×D53 | — | 2 | 4 | no | — |
| 412 | C2×C4×D53 | — | 2 | 2 | no | — |
| 413 | C2×C4×D53 | — | 2 | 2 | no | — |
| 414 | C2×C4×D53 | — | 2 | 4 | no | — |
| 415 | C2×C4×D53 | — | 2 | 2 | no | — |
| 416 | C2×C4×D53 | — | 2 | 2 | no | — |
| 417 | C2×C4×D53 | — | 2 | 8 | no | — |
| 418 | C2×C4×D53 | — | 2 | 4 | no | — |
| 419 | C2×C4×D53 | — | 2 | 2 | no | — |
| 420 | C2×C4×D53 | — | 2 | 2 | no | — |
| 421 | C2×C4×D53 | — | 2 | 1 | no | — |
| 422 | C2×C4×D53 | — | 2 | 1 | no | — |
| 423 | C2×C4×D53 | — | 2 | 1 | no | — |
| 424 | C2×C4×D53 | — | 2 | 2 | no | — |
| 425 | C2×C4×D53 | — | 4 | 4 | no | — |
| 426 | C2×C4×D53 | C2×D4 | 1 | 2 | yes | — |
| 427 | C2×C4×D53 | C2×D4 | 1 | 1 | yes | characteristic |
| 428 | C2×C4×D53 | C2×D4 | 1 | 1 | yes | characteristic |
| 429 | C2×C4×D53 | C2×D4 | 1 | 4 | yes | — |
| 430 | C2×C4×D53 | C2×D4 | 1 | 4 | yes | — |
| 431 | C2×C4×D53 | C24 | 1 | 2 | yes | — |
| 432 | C2×C4×D53 | C24 | 1 | 1 | yes | characteristic |
| 433 | C2×C4×D53 | C24 | 1 | 1 | yes | characteristic |
| 434 | C2×Dic106 | — | 2 | 8 | no | — |
| 435 | C2×Dic106 | — | 2 | 1 | no | — |
| 436 | C2×Dic106 | — | 2 | 2 | no | — |
| 437 | C2×Dic106 | — | 2 | 4 | no | — |
| 438 | C2×Dic106 | — | 2 | 8 | no | — |
| 439 | C2×Dic106 | — | 2 | 4 | no | — |
| 440 | C2×Dic106 | — | 2 | 2 | no | — |
| 441 | C2×Dic106 | — | 2 | 2 | no | — |
| 442 | C2×Dic106 | — | 2 | 1 | no | — |
| 443 | C2×Dic106 | C2×D4 | 1 | 2 | yes | — |
| 444 | C2×Dic106 | C2×D4 | 1 | 2 | yes | — |
| 445 | C2×Dic106 | C2×D4 | 1 | 4 | yes | — |
| 446 | C2×Dic106 | C24 | 1 | 1 | yes | characteristic |
| 447 | C2×Dic106 | C24 | 1 | 2 | yes | — |
| 448 | Q16×C53 | — | 2 | 4 | no | — |
| 449 | Q16×C53 | — | 2 | 4 | no | — |
| 450 | SD16×C53 | — | 2 | 4 | no | — |
| 451 | SD16×C53 | — | 2 | 4 | no | — |
| 452 | M16×C53 | — | 2 | 2 | no | — |
| 453 | M16×C53 | — | 2 | 2 | no | — |
| 454 | C2×C8×C53 | C24 | 1 | 2 | yes | — |
| 455 | C2×C8×C53 | C24 | 1 | 2 | yes | — |
| 456 | C4⋊C4×C53 | — | 2 | 2 | no | — |
| 457 | C4⋊C4×C53 | C24 | 1 | 2 | yes | — |
| 458 | C22⋊C4×C53 | — | 2 | 1 | no | — |
| 459 | C22⋊C4×C53 | — | 2 | 2 | no | — |
| 460 | C22⋊C4×C53 | — | 2 | 2 | no | — |
| 461 | C42×C53 | — | 2 | 1 | no | — |
| 462 | C22⋊Dic53 | — | 2 | 1 | no | — |
| 463 | C22⋊Dic53 | — | 2 | 2 | no | — |
| 464 | C22⋊Dic53 | — | 2 | 2 | no | — |
| 465 | #11719925 | — | 2 | 4 | no | — |
| 466 | #11719925 | — | 2 | 4 | no | — |
| 467 | #11719925 | — | 2 | 4 | no | — |
| 468 | #11719924 | — | 2 | 4 | no | — |
| 469 | #11719924 | — | 2 | 4 | no | — |
| 470 | #11719924 | — | 2 | 4 | no | — |
| 471 | #11719923 | — | 2 | 4 | no | — |
| 472 | #11719922 | — | 2 | 4 | no | — |
| 473 | #11719921 | — | 2 | 2 | no | — |
| 474 | #11719921 | — | 2 | 2 | no | — |
| 475 | #11719921 | — | 2 | 2 | no | — |
| 476 | #11719921 | — | 2 | 2 | no | — |
| 477 | #11719921 | — | 2 | 2 | no | — |
| 478 | C4⋊Dic53 | — | 2 | 2 | no | — |
| 479 | C4⋊Dic53 | C24 | 1 | 2 | yes | — |
| 480 | #11719919 | — | 2 | 2 | no | — |
| 481 | #11719919 | — | 2 | 2 | no | — |
| 482 | #11719919 | — | 2 | 2 | no | — |
| 483 | C4×Dic53 | — | 2 | 1 | no | — |
| 484 | C4×Dic53 | — | 2 | 2 | no | — |
| 485 | #11719917 | — | 2 | 2 | no | — |
| 486 | #11719917 | — | 2 | 2 | no | — |
| 487 | C2×#88322 | C24 | 1 | 2 | yes | — |
| 488 | C2×#88322 | C24 | 1 | 2 | yes | — |
| 489 | Dic212 | — | 2 | 4 | no | — |
| 490 | D424 | — | 2 | 4 | no | — |
| 491 | #11719913 | — | 2 | 4 | no | — |
| 492 | #11719913 | — | 2 | 4 | no | — |
| 493 | #11719912 | — | 2 | 4 | no | — |
| 494 | #11719912 | — | 2 | 4 | no | — |
| 495 | C8×D53 | — | 2 | 4 | no | — |
| 496 | C8×D53 | — | 2 | 4 | no | — |
| 497 | C23×C53 | — | 2 | 2 | no | — |
| 498 | C23×C53 | — | 2 | 1 | no | — |
| 499 | C23×C53 | — | 4 | 2 | no | — |
| 500 | C23×C53 | C22×D4 | 1 | 2 | yes | — |
| 501 | C23×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 502 | C22×D53 | — | 2 | 2 | no | — |
| 503 | C22×D53 | — | 2 | 4 | no | — |
| 504 | C22×D53 | — | 2 | 2 | no | — |
| 505 | C22×D53 | — | 2 | 1 | no | — |
| 506 | C22×D53 | — | 4 | 2 | no | — |
| 507 | C22×D53 | — | 4 | 2 | no | — |
| 508 | C22×D53 | — | 4 | 4 | no | — |
| 509 | C22×D53 | — | 4 | 2 | no | — |
| 510 | C22×D53 | — | 8 | 2 | no | — |
| 511 | C22×D53 | #120 | 1 | 4 | yes | — |
| 512 | C22×D53 | C22×D4 | 1 | 2 | yes | — |
| 513 | C22×D53 | C22×D4 | 1 | 1 | yes | characteristic |
| 514 | C22×D53 | C22×D4 | 1 | 1 | yes | characteristic |
| 515 | Q8×C53 | — | 2 | 16 | no | — |
| 516 | Q8×C53 | — | 2 | 4 | no | — |
| 517 | Q8×C53 | — | 2 | 4 | no | — |
| 518 | Q8×C53 | — | 2 | 2 | no | — |
| 519 | Q8×C53 | — | 2 | 2 | no | — |
| 520 | Q8×C53 | — | 2 | 1 | no | — |
| 521 | Q8×C53 | — | 2 | 1 | no | — |
| 522 | Q8×C53 | C22×D4 | 1 | 4 | yes | — |
| 523 | Q8×C53 | C22×D4 | 1 | 4 | yes | — |
| 524 | D4×C53 | — | 2 | 1 | no | — |
| 525 | D4×C53 | — | 2 | 1 | no | — |
| 526 | D4×C53 | — | 4 | 2 | no | — |
| 527 | D4×C53 | — | 8 | 2 | no | — |
| 528 | C2×C4×C53 | — | 2 | 16 | no | — |
| 529 | C2×C4×C53 | — | 2 | 4 | no | — |
| 530 | C2×C4×C53 | — | 2 | 4 | no | — |
| 531 | C2×C4×C53 | — | 2 | 2 | no | — |
| 532 | C2×C4×C53 | — | 2 | 2 | no | — |
| 533 | C2×C4×C53 | — | 2 | 2 | no | — |
| 534 | C2×C4×C53 | — | 2 | 4 | no | — |
| 535 | C2×C4×C53 | — | 2 | 2 | no | — |
| 536 | C2×C4×C53 | — | 2 | 2 | no | — |
| 537 | C2×C4×C53 | — | 2 | 1 | no | — |
| 538 | C2×C4×C53 | — | 2 | 2 | no | — |
| 539 | C2×C4×C53 | — | 4 | 2 | no | — |
| 540 | C2×C4×C53 | C22×D4 | 1 | 2 | yes | — |
| 541 | C2×C4×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 542 | C2×C4×C53 | C22×D4 | 1 | 2 | yes | — |
| 543 | C2×C4×C53 | C22×D4 | 1 | 2 | yes | — |
| 544 | C2×C4×C53 | C25 | 1 | 1 | yes | characteristic |
| 545 | C22⋊D53 | — | 2 | 16 | no | — |
| 546 | C22⋊D53 | — | 2 | 4 | no | — |
| 547 | C22⋊D53 | — | 2 | 4 | no | — |
| 548 | C22⋊D53 | — | 2 | 4 | no | — |
| 549 | C22⋊D53 | — | 2 | 4 | no | — |
| 550 | C22⋊D53 | — | 4 | 2 | no | — |
| 551 | C22⋊D53 | — | 4 | 2 | no | — |
| 552 | C22⋊D53 | — | 4 | 2 | no | — |
| 553 | C22⋊D53 | — | 8 | 2 | no | — |
| 554 | C22⋊D53 | — | 8 | 2 | no | — |
| 555 | C2×Dic53 | — | 2 | 2 | no | — |
| 556 | C2×Dic53 | — | 2 | 4 | no | — |
| 557 | C2×Dic53 | — | 2 | 2 | no | — |
| 558 | C2×Dic53 | — | 2 | 1 | no | — |
| 559 | C2×Dic53 | — | 2 | 2 | no | — |
| 560 | C2×Dic53 | — | 4 | 2 | no | — |
| 561 | C2×Dic53 | #120 | 1 | 4 | yes | — |
| 562 | C2×Dic53 | C22×D4 | 1 | 2 | yes | — |
| 563 | C2×Dic53 | C22×D4 | 1 | 1 | yes | characteristic |
| 564 | C2×Dic53 | C22×D4 | 1 | 1 | yes | characteristic |
| 565 | D212 | — | 2 | 16 | no | — |
| 566 | D212 | — | 2 | 8 | no | — |
| 567 | D212 | — | 2 | 8 | no | — |
| 568 | D212 | — | 2 | 4 | no | — |
| 569 | D212 | — | 2 | 4 | no | — |
| 570 | D212 | — | 2 | 4 | no | — |
| 571 | D212 | — | 2 | 2 | no | — |
| 572 | D212 | — | 2 | 1 | no | — |
| 573 | D212 | — | 2 | 1 | no | — |
| 574 | D212 | — | 4 | 2 | no | — |
| 575 | D212 | — | 8 | 2 | no | — |
| 576 | D212 | C22×D4 | 1 | 4 | yes | — |
| 577 | C4×D53 | — | 2 | 16 | no | — |
| 578 | C4×D53 | — | 2 | 16 | no | — |
| 579 | C4×D53 | — | 2 | 16 | no | — |
| 580 | C4×D53 | — | 2 | 8 | no | — |
| 581 | C4×D53 | — | 2 | 8 | no | — |
| 582 | C4×D53 | — | 2 | 4 | no | — |
| 583 | C4×D53 | — | 2 | 2 | no | — |
| 584 | C4×D53 | — | 2 | 2 | no | — |
| 585 | C4×D53 | — | 2 | 8 | no | — |
| 586 | C4×D53 | — | 2 | 8 | no | — |
| 587 | C4×D53 | — | 4 | 2 | no | — |
| 588 | C4×D53 | — | 4 | 2 | no | — |
| 589 | C4×D53 | — | 4 | 2 | no | — |
| 590 | C4×D53 | — | 8 | 2 | no | — |
| 591 | C4×D53 | #120 | 1 | 4 | yes | — |
| 592 | C4×D53 | #120 | 1 | 4 | yes | — |
| 593 | C4×D53 | C22×D4 | 1 | 2 | yes | — |
| 594 | C4×D53 | C22×D4 | 1 | 2 | yes | — |
| 595 | C4×D53 | C22×D4 | 1 | 2 | yes | — |
| 596 | C4×D53 | C22×D4 | 1 | 2 | yes | — |
| 597 | Dic106 | — | 2 | 16 | no | — |
| 598 | Dic106 | — | 2 | 4 | no | — |
| 599 | Dic106 | — | 2 | 2 | no | — |
| 600 | Dic106 | — | 2 | 8 | no | — |
| 601 | Dic106 | — | 2 | 8 | no | — |
| 602 | Dic106 | — | 2 | 4 | no | — |
| 603 | Dic106 | — | 2 | 4 | no | — |
| 604 | Dic106 | — | 2 | 1 | no | — |
| 605 | Dic106 | — | 2 | 1 | no | — |
| 606 | Dic106 | — | 4 | 2 | no | — |
| 607 | Dic106 | C22×D4 | 1 | 4 | yes | — |
| 608 | C8×C53 | — | 2 | 2 | no | — |
| 609 | C8×C53 | — | 2 | 2 | no | — |
| 610 | #88322 | — | 2 | 2 | no | — |
| 611 | #88322 | — | 2 | 2 | no | — |
| 612 | #60368 | — | 53 | 1 | no | maximal, Sylow |
| 613 | C22×C53 | — | 2 | 2 | no | — |
| 614 | C22×C53 | — | 2 | 2 | no | — |
| 615 | C22×C53 | — | 2 | 2 | no | — |
| 616 | C22×C53 | — | 2 | 2 | no | — |
| 617 | C22×C53 | — | 4 | 4 | no | — |
| 618 | C22×C53 | — | 4 | 2 | no | — |
| 619 | C22×C53 | — | 4 | 1 | no | — |
| 620 | C22×C53 | C2×#120 | 1 | 2 | yes | — |
| 621 | C22×C53 | C23×D4 | 1 | 1 | yes | characteristic |
| 622 | C2×D53 | — | 2 | 2 | no | — |
| 623 | C2×D53 | — | 2 | 2 | no | — |
| 624 | C2×D53 | — | 2 | 2 | no | — |
| 625 | C2×D53 | — | 2 | 2 | no | — |
| 626 | C2×D53 | — | 2 | 2 | no | — |
| 627 | C2×D53 | — | 2 | 4 | no | — |
| 628 | C2×D53 | — | 4 | 4 | no | — |
| 629 | C2×D53 | — | 4 | 4 | no | — |
| 630 | C2×D53 | — | 4 | 8 | no | — |
| 631 | C2×D53 | — | 4 | 4 | no | — |
| 632 | C2×D53 | — | 4 | 2 | no | — |
| 633 | C2×D53 | — | 4 | 1 | no | — |
| 634 | C2×D53 | — | 8 | 4 | no | — |
| 635 | C2×D53 | C2×#120 | 1 | 2 | yes | — |
| 636 | C2×D53 | C2×#120 | 1 | 2 | yes | — |
| 637 | C4×C53 | — | 2 | 4 | no | — |
| 638 | C4×C53 | — | 2 | 4 | no | — |
| 639 | C4×C53 | — | 2 | 2 | no | — |
| 640 | C4×C53 | — | 4 | 2 | no | — |
| 641 | C4×C53 | — | 4 | 1 | no | — |
| 642 | C4×C53 | C2×#120 | 1 | 2 | yes | — |
| 643 | C4×C53 | C23×D4 | 1 | 1 | yes | characteristic |
| 644 | C4×C53 | C23×D4 | 1 | 1 | yes | characteristic |
| 645 | Dic53 | — | 2 | 2 | no | — |
| 646 | Dic53 | — | 2 | 4 | no | — |
| 647 | Dic53 | — | 4 | 2 | no | — |
| 648 | Dic53 | — | 4 | 1 | no | — |
| 649 | Dic53 | C2×#120 | 1 | 2 | yes | — |
| 650 | Dic53 | C2×#120 | 1 | 2 | yes | — |
| 651 | C22×2−1+4 | — | 53 | 1 | no | — |
| 652 | C2×#575 | — | 53 | 1 | no | — |
| 653 | C22×#137 | — | 53 | 1 | no | — |
| 654 | #3449 | — | 53 | 1 | no | — |
| 655 | #3013 | — | 53 | 4 | no | — |
| 656 | #3013 | — | 53 | 4 | no | — |
| 657 | #3011 | — | 53 | 4 | no | — |
| 658 | #3010 | — | 53 | 4 | no | — |
| 659 | #3005 | — | 53 | 1 | no | — |
| 660 | #3005 | — | 53 | 1 | no | — |
| 661 | #3005 | — | 53 | 1 | no | — |
| 662 | #3005 | — | 53 | 1 | no | — |
| 663 | #3004 | — | 53 | 1 | no | — |
| 664 | #3004 | — | 53 | 1 | no | — |
| 665 | #3004 | — | 53 | 1 | no | — |
| 666 | #3004 | D53 | 1 | 1 | yes | characteristic, complemented |
| 667 | #2896 | — | 53 | 1 | no | — |
| 668 | C2×#419 | — | 53 | 1 | no | — |
| 669 | #2879 | — | 53 | 1 | no | — |
| 670 | C2×C53 | — | 2 | 2 | no | — |
| 671 | C2×C53 | — | 4 | 2 | no | — |
| 672 | C2×C53 | — | 8 | 1 | no | — |
| 673 | C2×C53 | C22×#120 | 1 | 1 | yes | characteristic |
| 674 | C2×C53 | #3586 | 1 | 2 | yes | — |
| 675 | D53 | — | 2 | 2 | no | — |
| 676 | D53 | — | 2 | 2 | no | — |
| 677 | D53 | — | 4 | 2 | no | — |
| 678 | D53 | — | 4 | 4 | no | — |
| 679 | D53 | — | 8 | 1 | no | — |
| 680 | C2×2−1+4 | — | 53 | 4 | no | — |
| 681 | C2×2−1+4 | — | 53 | 4 | no | — |
| 682 | C2×2−1+4 | — | 106 | 8 | no | — |
| 683 | C2×2−1+4 | — | 106 | 8 | no | — |
| 684 | C2×2−1+4 | — | 106 | 2 | no | — |
| 685 | C2×2−1+4 | — | 106 | 2 | no | — |
| 686 | C22×#41 | — | 53 | 1 | no | — |
| 687 | C22×#41 | — | 53 | 1 | no | — |
| 688 | C22×#41 | — | 53 | 1 | no | — |
| 689 | C22×#41 | — | 53 | 1 | no | — |
| 690 | C22×#41 | — | 53 | 1 | no | — |
| 691 | C22×#41 | — | 106 | 1 | no | — |
| 692 | C22×#41 | — | 106 | 1 | no | — |
| 693 | C22×#41 | — | 106 | 1 | no | — |
| 694 | C23×Q8 | — | 53 | 1 | no | — |
| 695 | C23×Q8 | — | 53 | 1 | no | — |
| 696 | C23×Q8 | — | 106 | 1 | no | — |
| 697 | C23×Q8 | C2×D53 | 1 | 1 | yes | characteristic, complemented |
| 698 | #575 | — | 106 | 8 | no | — |
| 699 | C2×#137 | — | 53 | 1 | no | — |
| 700 | C2×#137 | — | 53 | 1 | no | — |
| 701 | C2×#137 | — | 53 | 1 | no | — |
| 702 | C2×#137 | — | 53 | 2 | no | — |
| 703 | C2×#137 | — | 53 | 2 | no | — |
| 704 | C2×#137 | — | 53 | 2 | no | — |
| 705 | C2×#137 | — | 53 | 1 | no | — |
| 706 | C2×#137 | — | 106 | 8 | no | — |
| 707 | C2×#137 | C2×D53 | 1 | 1 | yes | characteristic |
| 708 | C2×#137 | C2×D53 | 1 | 1 | yes | characteristic |
| 709 | C2×AGL(1,ℤ/8) | — | 53 | 1 | no | — |
| 710 | C2×AGL(1,ℤ/8) | — | 53 | 2 | no | — |
| 711 | C2×AGL(1,ℤ/8) | — | 53 | 1 | no | — |
| 712 | C2×#135 | — | 53 | 2 | no | — |
| 713 | C2×#135 | — | 53 | 2 | no | — |
| 714 | C22×Q16 | — | 53 | 2 | no | — |
| 715 | C22×SD16 | — | 53 | 2 | no | — |
| 716 | C22×M16 | — | 53 | 1 | no | — |
| 717 | C22×M16 | — | 53 | 1 | no | — |
| 718 | #537 | — | 53 | 2 | no | — |
| 719 | #537 | — | 53 | 2 | no | — |
| 720 | #536 | — | 53 | 2 | no | — |
| 721 | #536 | — | 106 | 1 | no | — |
| 722 | #535 | — | 53 | 2 | no | — |
| 723 | #535 | — | 106 | 1 | no | — |
| 724 | #534 | — | 106 | 1 | no | — |
| 725 | #534 | — | 106 | 1 | no | — |
| 726 | #532 | — | 106 | 2 | no | — |
| 727 | #525 | — | 53 | 1 | no | — |
| 728 | #525 | — | 53 | 1 | no | — |
| 729 | #525 | — | 53 | 1 | no | — |
| 730 | #525 | — | 106 | 2 | no | — |
| 731 | #525 | C2×D53 | 1 | 1 | yes | characteristic |
| 732 | C2×#117 | — | 53 | 1 | no | — |
| 733 | #452 | — | 53 | 4 | no | — |
| 734 | #452 | — | 53 | 4 | no | — |
| 735 | #452 | — | 53 | 4 | no | — |
| 736 | #452 | — | 53 | 4 | no | — |
| 737 | #451 | — | 53 | 4 | no | — |
| 738 | #451 | — | 53 | 4 | no | — |
| 739 | #451 | — | 53 | 4 | no | — |
| 740 | #451 | C2×D53 | 1 | 4 | yes | complemented |
| 741 | #449 | — | 53 | 4 | no | — |
| 742 | #449 | — | 53 | 4 | no | — |
| 743 | #449 | — | 53 | 4 | no | — |
| 744 | #449 | — | 53 | 4 | no | — |
| 745 | #448 | — | 53 | 4 | no | — |
| 746 | #448 | — | 53 | 4 | no | — |
| 747 | #448 | — | 53 | 4 | no | — |
| 748 | #448 | C2×D53 | 1 | 4 | yes | complemented |
| 749 | #419 | — | 53 | 1 | no | — |
| 750 | #419 | — | 53 | 1 | no | — |
| 751 | #419 | — | 53 | 1 | no | — |
| 752 | #419 | — | 53 | 1 | no | — |
| 753 | #419 | — | 53 | 4 | no | — |
| 754 | #419 | C2×D53 | 1 | 1 | yes | characteristic, complemented |
| 755 | #419 | C2×D53 | 1 | 1 | yes | characteristic, complemented |
| 756 | #418 | — | 53 | 1 | no | — |
| 757 | #418 | — | 53 | 1 | no | — |
| 758 | #417 | — | 53 | 4 | no | — |
| 759 | #416 | — | 53 | 4 | no | — |
| 760 | C2×#103 | — | 53 | 4 | no | — |
| 761 | #408 | — | 53 | 4 | no | — |
| 762 | #408 | — | 53 | 4 | no | — |
| 763 | #407 | — | 53 | 1 | no | — |
| 764 | #407 | — | 53 | 1 | no | — |
| 765 | #407 | — | 53 | 1 | no | — |
| 766 | #407 | C2×D53 | 1 | 1 | yes | characteristic, complemented |
| 767 | C53 | #60368 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 768 | 2−1+4 | — | 106 | 16 | no | — |
| 769 | 2−1+4 | — | 106 | 16 | no | — |
| 770 | 2−1+4 | — | 106 | 16 | no | — |
| 771 | 2−1+4 | — | 106 | 16 | no | — |
| 772 | 2−1+4 | — | 106 | 32 | no | — |
| 773 | 2−1+4 | — | 106 | 32 | no | — |
| 774 | C2×#41 | — | 53 | 2 | no | — |
| 775 | C2×#41 | — | 53 | 2 | no | — |
| 776 | C2×#41 | — | 53 | 2 | no | — |
| 777 | C2×#41 | — | 53 | 2 | no | — |
| 778 | C2×#41 | — | 53 | 8 | no | — |
| 779 | C2×#41 | — | 53 | 2 | no | — |
| 780 | C2×#41 | — | 53 | 2 | no | — |
| 781 | C2×#41 | — | 53 | 1 | no | — |
| 782 | C2×#41 | — | 53 | 4 | no | — |
| 783 | C2×#41 | — | 53 | 1 | no | — |
| 784 | C2×#41 | — | 53 | 1 | no | — |
| 785 | C2×#41 | — | 53 | 4 | no | — |
| 786 | C2×#41 | — | 106 | 4 | no | — |
| 787 | C2×#41 | — | 106 | 4 | no | — |
| 788 | C2×#41 | — | 106 | 1 | no | — |
| 789 | C2×#41 | — | 106 | 4 | no | — |
| 790 | C2×#41 | — | 106 | 4 | no | — |
| 791 | C2×#41 | — | 106 | 4 | no | — |
| 792 | C2×#41 | — | 106 | 4 | no | — |
| 793 | C2×#41 | — | 106 | 4 | no | — |
| 794 | C2×#41 | — | 106 | 4 | no | — |
| 795 | C2×#41 | — | 106 | 16 | no | — |
| 796 | C2×#41 | — | 106 | 16 | no | — |
| 797 | C2×#41 | — | 106 | 1 | no | — |
| 798 | C2×#41 | — | 106 | 1 | no | — |
| 799 | C2×#41 | — | 106 | 1 | no | — |
| 800 | C2×#41 | — | 106 | 4 | no | — |
| 801 | C2×#41 | — | 106 | 2 | no | — |
| 802 | C2×#41 | — | 106 | 4 | no | — |
| 803 | C2×#41 | — | 106 | 4 | no | — |
| 804 | C2×#41 | — | 106 | 4 | no | — |
| 805 | C2×#41 | — | 106 | 4 | no | — |
| 806 | C2×#41 | — | 106 | 4 | no | — |
| 807 | C2×#41 | — | 106 | 16 | no | — |
| 808 | C2×#41 | — | 106 | 4 | no | — |
| 809 | C2×#41 | — | 106 | 2 | no | — |
| 810 | C2×#41 | C22×D53 | 1 | 1 | yes | characteristic |
| 811 | C22×Q8 | — | 2 | 4 | no | — |
| 812 | C22×Q8 | — | 2 | 4 | no | — |
| 813 | C22×Q8 | — | 2 | 1 | no | — |
| 814 | C22×Q8 | — | 2 | 2 | no | — |
| 815 | C22×Q8 | — | 53 | 1 | no | — |
| 816 | C22×Q8 | — | 53 | 8 | no | — |
| 817 | C22×Q8 | — | 53 | 2 | no | — |
| 818 | C22×Q8 | — | 53 | 2 | no | — |
| 819 | C22×Q8 | — | 53 | 1 | no | — |
| 820 | C22×Q8 | — | 53 | 4 | no | — |
| 821 | C22×Q8 | — | 53 | 1 | no | — |
| 822 | C22×Q8 | — | 106 | 1 | no | — |
| 823 | C22×Q8 | — | 106 | 1 | no | — |
| 824 | C22×Q8 | — | 106 | 1 | no | — |
| 825 | C22×Q8 | — | 106 | 1 | no | — |
| 826 | C22×Q8 | — | 106 | 4 | no | — |
| 827 | C22×Q8 | — | 106 | 2 | no | — |
| 828 | C22×Q8 | — | 106 | 4 | no | — |
| 829 | C22×Q8 | — | 106 | 4 | no | — |
| 830 | C22×Q8 | — | 106 | 4 | no | — |
| 831 | C22×Q8 | — | 106 | 16 | no | — |
| 832 | C22×Q8 | — | 106 | 4 | no | — |
| 833 | C22×Q8 | C22×D53 | 1 | 4 | yes | — |
| 834 | C22×Q8 | C22×D53 | 1 | 1 | yes | characteristic |
| 835 | C22×Q8 | C22×D53 | 1 | 1 | yes | characteristic |
| 836 | C22×D4 | — | 53 | 1 | no | — |
| 837 | C22×D4 | — | 53 | 1 | no | — |
| 838 | C22×D4 | — | 53 | 1 | no | — |
| 839 | C22×D4 | — | 53 | 1 | no | — |
| 840 | C22×D4 | — | 53 | 1 | no | — |
| 841 | C22×D4 | — | 106 | 1 | no | — |
| 842 | C22×D4 | — | 106 | 1 | no | — |
| 843 | C22×D4 | — | 106 | 1 | no | — |
| 844 | C22×D4 | — | 106 | 1 | no | — |
| 845 | C23×C4 | — | 2 | 1 | no | — |
| 846 | C23×C4 | — | 53 | 1 | no | — |
| 847 | C23×C4 | — | 53 | 1 | no | — |
| 848 | C23×C4 | — | 106 | 1 | no | — |
| 849 | C23×C4 | — | 106 | 1 | no | — |
| 850 | C23×C4 | — | 106 | 1 | no | — |
| 851 | C23×C4 | — | 106 | 1 | no | — |
| 852 | C23×C4 | — | 106 | 1 | no | — |
| 853 | C23×C4 | — | 106 | 1 | no | — |
| 854 | C23×C4 | C22×D53 | 1 | 1 | yes | characteristic |
| 855 | #137 | — | 2 | 4 | no | — |
| 856 | #137 | — | 2 | 4 | no | — |
| 857 | #137 | — | 106 | 4 | no | — |
| 858 | #137 | — | 106 | 8 | no | — |
| 859 | #137 | — | 106 | 8 | no | — |
| 860 | #137 | — | 106 | 8 | no | — |
| 861 | #137 | — | 106 | 4 | no | — |
| 862 | #137 | — | 106 | 4 | no | — |
| 863 | #137 | — | 106 | 4 | no | — |
| 864 | AGL(1,ℤ/8) | — | 106 | 4 | no | — |
| 865 | AGL(1,ℤ/8) | — | 106 | 8 | no | — |
| 866 | AGL(1,ℤ/8) | — | 106 | 4 | no | — |
| 867 | #135 | — | 106 | 8 | no | — |
| 868 | #135 | — | 106 | 8 | no | — |
| 869 | C2×Q16 | — | 53 | 2 | no | — |
| 870 | C2×Q16 | — | 53 | 2 | no | — |
| 871 | C2×Q16 | — | 53 | 2 | no | — |
| 872 | C2×Q16 | — | 53 | 2 | no | — |
| 873 | C2×Q16 | — | 106 | 8 | no | — |
| 874 | C2×Q16 | C22×D53 | 1 | 2 | yes | — |
| 875 | C2×Q16 | C22×D53 | 1 | 2 | yes | — |
| 876 | C2×SD16 | — | 53 | 2 | no | — |
| 877 | C2×SD16 | — | 53 | 2 | no | — |
| 878 | C2×SD16 | — | 53 | 2 | no | — |
| 879 | C2×SD16 | — | 53 | 2 | no | — |
| 880 | C2×SD16 | — | 53 | 2 | no | — |
| 881 | C2×SD16 | — | 53 | 2 | no | — |
| 882 | C2×SD16 | — | 106 | 8 | no | — |
| 883 | C2×SD16 | C22×D53 | 1 | 2 | yes | — |
| 884 | C2×SD16 | C22×D53 | 1 | 2 | yes | — |
| 885 | C2×D8 | — | 53 | 2 | no | — |
| 886 | C2×D8 | — | 53 | 2 | no | — |
| 887 | C2×M16 | — | 53 | 1 | no | — |
| 888 | C2×M16 | — | 53 | 1 | no | — |
| 889 | C2×M16 | — | 53 | 2 | no | — |
| 890 | C2×M16 | — | 53 | 2 | no | — |
| 891 | C2×M16 | — | 106 | 4 | no | — |
| 892 | C2×M16 | — | 106 | 4 | no | — |
| 893 | C2×M16 | C22×D53 | 1 | 1 | yes | characteristic |
| 894 | C2×M16 | C22×D53 | 1 | 1 | yes | characteristic |
| 895 | C22×C8 | — | 53 | 2 | no | — |
| 896 | C22×C8 | — | 53 | 2 | no | — |
| 897 | C4⋊Q8 | — | 106 | 2 | no | — |
| 898 | #127 | — | 106 | 2 | no | — |
| 899 | #124 | — | 106 | 2 | no | — |
| 900 | #124 | — | 106 | 2 | no | — |
| 901 | #123 | — | 2 | 1 | no | — |
| 902 | #123 | — | 106 | 1 | no | — |
| 903 | #123 | — | 106 | 2 | no | — |
| 904 | #123 | — | 106 | 2 | no | — |
| 905 | #123 | — | 106 | 1 | no | — |
| 906 | #123 | — | 106 | 1 | no | — |
| 907 | C22⋊Q8 | — | 53 | 2 | no | — |
| 908 | C22⋊Q8 | — | 53 | 2 | no | — |
| 909 | C22⋊Q8 | — | 53 | 2 | no | — |
| 910 | C22⋊Q8 | — | 106 | 2 | no | — |
| 911 | C22⋊Q8 | — | 106 | 2 | no | — |
| 912 | C22⋊Q8 | C22×D53 | 1 | 2 | yes | — |
| 913 | #121 | — | 53 | 2 | no | — |
| 914 | #121 | — | 53 | 2 | no | — |
| 915 | #121 | — | 53 | 2 | no | — |
| 916 | #121 | — | 106 | 2 | no | — |
| 917 | #121 | — | 106 | 2 | no | — |
| 918 | #121 | — | 106 | 2 | no | — |
| 919 | #121 | — | 106 | 2 | no | — |
| 920 | #121 | — | 106 | 2 | no | — |
| 921 | #121 | — | 106 | 2 | no | — |
| 922 | #121 | C22×D53 | 1 | 2 | yes | — |
| 923 | #120 | — | 2 | 1 | no | — |
| 924 | #120 | — | 106 | 2 | no | — |
| 925 | #120 | — | 106 | 1 | no | — |
| 926 | #120 | — | 106 | 2 | no | — |
| 927 | #120 | — | 106 | 1 | no | — |
| 928 | #120 | — | 106 | 1 | no | — |
| 929 | C4×D4 | — | 2 | 2 | no | — |
| 930 | C4×D4 | — | 106 | 2 | no | — |
| 931 | C4×D4 | — | 106 | 2 | no | — |
| 932 | C4×D4 | — | 106 | 2 | no | — |
| 933 | #117 | — | 53 | 1 | no | — |
| 934 | #117 | — | 53 | 2 | no | — |
| 935 | #117 | — | 106 | 1 | no | — |
| 936 | #117 | — | 106 | 1 | no | — |
| 937 | #117 | C22×D53 | 1 | 1 | yes | characteristic |
| 938 | C2×C4⋊C4 | — | 53 | 2 | no | — |
| 939 | C2×C22⋊C4 | — | 106 | 1 | no | — |
| 940 | C2×C42 | — | 106 | 1 | no | — |
| 941 | #103 | — | 53 | 4 | no | — |
| 942 | #103 | — | 53 | 4 | no | — |
| 943 | #103 | — | 53 | 4 | no | — |
| 944 | #103 | — | 53 | 4 | no | — |
| 945 | #103 | C22×D53 | 1 | 4 | yes | — |
| 946 | #103 | C22×D53 | 1 | 4 | yes | — |
| 947 | #102 | — | 53 | 4 | no | — |
| 948 | #102 | — | 53 | 4 | no | — |
| 949 | C22⋊C8 | — | 53 | 4 | no | — |
| 950 | C22⋊C8 | — | 53 | 4 | no | — |
| 951 | C22⋊C8 | — | 53 | 4 | no | — |
| 952 | C22⋊C8 | C22×D53 | 1 | 4 | yes | — |
| 953 | C24 | — | 53 | 1 | no | — |
| 954 | C24 | — | 53 | 1 | no | — |
| 955 | C24 | — | 106 | 1 | no | — |
| 956 | C24 | — | 106 | 1 | no | — |
| 957 | C24 | D4×D53 | 1 | 1 | yes | characteristic |
| 958 | #41 | — | 2 | 2 | no | — |
| 959 | #41 | — | 2 | 2 | no | — |
| 960 | #41 | — | 53 | 8 | no | — |
| 961 | #41 | — | 53 | 8 | no | — |
| 962 | #41 | — | 106 | 8 | no | — |
| 963 | #41 | — | 106 | 8 | no | — |
| 964 | #41 | — | 106 | 4 | no | — |
| 965 | #41 | — | 106 | 4 | no | — |
| 966 | #41 | — | 106 | 4 | no | — |
| 967 | #41 | — | 106 | 4 | no | — |
| 968 | #41 | — | 106 | 8 | no | — |
| 969 | #41 | — | 106 | 8 | no | — |
| 970 | #41 | — | 106 | 32 | no | — |
| 971 | #41 | — | 106 | 32 | no | — |
| 972 | #41 | — | 106 | 32 | no | — |
| 973 | #41 | — | 106 | 32 | no | — |
| 974 | #41 | — | 106 | 16 | no | — |
| 975 | #41 | — | 106 | 8 | no | — |
| 976 | #41 | — | 106 | 8 | no | — |
| 977 | #41 | — | 106 | 4 | no | — |
| 978 | #41 | — | 106 | 4 | no | — |
| 979 | #41 | — | 106 | 2 | no | — |
| 980 | #41 | — | 106 | 2 | no | — |
| 981 | #41 | — | 106 | 2 | no | — |
| 982 | #41 | — | 106 | 2 | no | — |
| 983 | #41 | — | 106 | 8 | no | — |
| 984 | #41 | — | 106 | 32 | no | — |
| 985 | #41 | — | 106 | 32 | no | — |
| 986 | #41 | — | 106 | 16 | no | — |
| 987 | #41 | — | 106 | 8 | no | — |
| 988 | #41 | — | 106 | 2 | no | — |
| 989 | #41 | — | 106 | 2 | no | — |
| 990 | #41 | — | 212 | 4 | no | — |
| 991 | #41 | — | 212 | 4 | no | — |
| 992 | C2×Q8 | — | 2 | 8 | no | — |
| 993 | C2×Q8 | — | 2 | 16 | no | — |
| 994 | C2×Q8 | — | 2 | 8 | no | — |
| 995 | C2×Q8 | — | 2 | 8 | no | — |
| 996 | C2×Q8 | — | 2 | 2 | no | — |
| 997 | C2×Q8 | — | 2 | 2 | no | — |
| 998 | C2×Q8 | — | 2 | 4 | no | — |
| 999 | C2×Q8 | — | 2 | 1 | no | — |
| 1000 | C2×Q8 | — | 2 | 1 | no | — |
| 1001 | C2×Q8 | — | 53 | 2 | no | — |
| 1002 | C2×Q8 | — | 53 | 2 | no | — |
| 1003 | C2×Q8 | — | 53 | 8 | no | — |
| 1004 | C2×Q8 | — | 53 | 8 | no | — |
| 1005 | C2×Q8 | — | 53 | 4 | no | — |
| 1006 | C2×Q8 | — | 53 | 2 | no | — |
| 1007 | C2×Q8 | — | 53 | 1 | no | — |
| 1008 | C2×Q8 | — | 106 | 8 | no | — |
| 1009 | C2×Q8 | — | 106 | 4 | no | — |
| 1010 | C2×Q8 | — | 106 | 2 | no | — |
| 1011 | C2×Q8 | — | 106 | 2 | no | — |
| 1012 | C2×Q8 | — | 106 | 4 | no | — |
| 1013 | C2×Q8 | — | 106 | 1 | no | — |
| 1014 | C2×Q8 | — | 106 | 8 | no | — |
| 1015 | C2×Q8 | — | 106 | 8 | no | — |
| 1016 | C2×Q8 | — | 106 | 8 | no | — |
| 1017 | C2×Q8 | — | 106 | 4 | no | — |
| 1018 | C2×Q8 | — | 106 | 4 | no | — |
| 1019 | C2×Q8 | — | 106 | 2 | no | — |
| 1020 | C2×Q8 | — | 106 | 2 | no | — |
| 1021 | C2×Q8 | — | 106 | 8 | no | — |
| 1022 | C2×Q8 | — | 106 | 32 | no | — |
| 1023 | C2×Q8 | — | 106 | 32 | no | — |
| 1024 | C2×Q8 | — | 106 | 16 | no | — |
| 1025 | C2×Q8 | — | 106 | 8 | no | — |
| 1026 | C2×Q8 | — | 106 | 2 | no | — |
| 1027 | C2×Q8 | — | 106 | 1 | no | — |
| 1028 | C2×Q8 | D4×D53 | 1 | 4 | yes | — |
| 1029 | C2×Q8 | D4×D53 | 1 | 4 | yes | — |
| 1030 | C2×Q8 | C23×D53 | 1 | 1 | yes | characteristic |
| 1031 | C2×Q8 | C23×D53 | 1 | 2 | yes | — |
| 1032 | C2×Q8 | C23×D53 | 1 | 2 | yes | — |
| 1033 | C2×D4 | — | 2 | 1 | no | — |
| 1034 | C2×D4 | — | 2 | 2 | no | — |
| 1035 | C2×D4 | — | 53 | 2 | no | — |
| 1036 | C2×D4 | — | 53 | 2 | no | — |
| 1037 | C2×D4 | — | 53 | 2 | no | — |
| 1038 | C2×D4 | — | 53 | 2 | no | — |
| 1039 | C2×D4 | — | 53 | 4 | no | — |
| 1040 | C2×D4 | — | 53 | 2 | no | — |
| 1041 | C2×D4 | — | 53 | 2 | no | — |
| 1042 | C2×D4 | — | 53 | 2 | no | — |
| 1043 | C2×D4 | — | 53 | 1 | no | — |
| 1044 | C2×D4 | — | 106 | 4 | no | — |
| 1045 | C2×D4 | — | 106 | 8 | no | — |
| 1046 | C2×D4 | — | 106 | 2 | no | — |
| 1047 | C2×D4 | — | 106 | 2 | no | — |
| 1048 | C2×D4 | — | 106 | 4 | no | — |
| 1049 | C2×D4 | — | 106 | 8 | no | — |
| 1050 | C2×D4 | — | 106 | 2 | no | — |
| 1051 | C2×D4 | — | 106 | 1 | no | — |
| 1052 | C2×D4 | — | 106 | 2 | no | — |
| 1053 | C2×D4 | — | 106 | 2 | no | — |
| 1054 | C2×D4 | — | 106 | 4 | no | — |
| 1055 | C2×D4 | — | 106 | 1 | no | — |
| 1056 | C2×D4 | — | 106 | 4 | no | — |
| 1057 | C2×D4 | — | 106 | 8 | no | — |
| 1058 | C2×D4 | — | 106 | 4 | no | — |
| 1059 | C2×D4 | — | 106 | 2 | no | — |
| 1060 | C2×D4 | — | 106 | 2 | no | — |
| 1061 | C2×D4 | — | 106 | 1 | no | — |
| 1062 | C2×D4 | — | 106 | 1 | no | — |
| 1063 | C2×D4 | — | 106 | 1 | no | — |
| 1064 | C2×D4 | — | 106 | 2 | no | — |
| 1065 | C2×D4 | — | 212 | 4 | no | — |
| 1066 | C2×D4 | C23×D53 | 1 | 1 | yes | characteristic |
| 1067 | C22×C4 | — | 2 | 8 | no | — |
| 1068 | C22×C4 | — | 2 | 1 | no | — |
| 1069 | C22×C4 | — | 2 | 1 | no | — |
| 1070 | C22×C4 | — | 2 | 4 | no | — |
| 1071 | C22×C4 | — | 2 | 2 | no | — |
| 1072 | C22×C4 | — | 2 | 2 | no | — |
| 1073 | C22×C4 | — | 2 | 1 | no | — |
| 1074 | C22×C4 | — | 53 | 1 | no | — |
| 1075 | C22×C4 | — | 53 | 1 | no | — |
| 1076 | C22×C4 | — | 53 | 1 | no | — |
| 1077 | C22×C4 | — | 53 | 4 | no | — |
| 1078 | C22×C4 | — | 53 | 4 | no | — |
| 1079 | C22×C4 | — | 53 | 1 | no | — |
| 1080 | C22×C4 | — | 53 | 1 | no | — |
| 1081 | C22×C4 | — | 53 | 1 | no | — |
| 1082 | C22×C4 | — | 53 | 2 | no | — |
| 1083 | C22×C4 | — | 53 | 2 | no | — |
| 1084 | C22×C4 | — | 106 | 8 | no | — |
| 1085 | C22×C4 | — | 106 | 2 | no | — |
| 1086 | C22×C4 | — | 106 | 2 | no | — |
| 1087 | C22×C4 | — | 106 | 4 | no | — |
| 1088 | C22×C4 | — | 106 | 1 | no | — |
| 1089 | C22×C4 | — | 106 | 8 | no | — |
| 1090 | C22×C4 | — | 106 | 2 | no | — |
| 1091 | C22×C4 | — | 106 | 2 | no | — |
| 1092 | C22×C4 | — | 106 | 4 | no | — |
| 1093 | C22×C4 | — | 106 | 8 | no | — |
| 1094 | C22×C4 | — | 106 | 8 | no | — |
| 1095 | C22×C4 | — | 106 | 8 | no | — |
| 1096 | C22×C4 | — | 106 | 2 | no | — |
| 1097 | C22×C4 | — | 106 | 1 | no | — |
| 1098 | C22×C4 | — | 106 | 1 | no | — |
| 1099 | C22×C4 | — | 106 | 1 | no | — |
| 1100 | C22×C4 | — | 106 | 2 | no | — |
| 1101 | C22×C4 | — | 106 | 2 | no | — |
| 1102 | C22×C4 | — | 106 | 4 | no | — |
| 1103 | C22×C4 | — | 106 | 1 | no | — |
| 1104 | C22×C4 | — | 212 | 4 | no | — |
| 1105 | C22×C4 | D4×D53 | 1 | 2 | yes | — |
| 1106 | C22×C4 | D4×D53 | 1 | 1 | yes | characteristic |
| 1107 | C22×C4 | C23×D53 | 1 | 2 | yes | — |
| 1108 | C22×C4 | C23×D53 | 1 | 1 | yes | characteristic |
| 1109 | Q16 | — | 2 | 4 | no | — |
| 1110 | Q16 | — | 2 | 4 | no | — |
| 1111 | Q16 | — | 106 | 4 | no | — |
| 1112 | Q16 | — | 106 | 4 | no | — |
| 1113 | Q16 | — | 106 | 4 | no | — |
| 1114 | Q16 | — | 106 | 4 | no | — |
| 1115 | SD16 | — | 2 | 4 | no | — |
| 1116 | SD16 | — | 2 | 4 | no | — |
| 1117 | SD16 | — | 106 | 4 | no | — |
| 1118 | SD16 | — | 106 | 4 | no | — |
| 1119 | SD16 | — | 106 | 4 | no | — |
| 1120 | SD16 | — | 106 | 4 | no | — |
| 1121 | SD16 | — | 106 | 4 | no | — |
| 1122 | SD16 | — | 106 | 4 | no | — |
| 1123 | D8 | — | 106 | 4 | no | — |
| 1124 | D8 | — | 106 | 4 | no | — |
| 1125 | M16 | — | 2 | 2 | no | — |
| 1126 | M16 | — | 2 | 2 | no | — |
| 1127 | M16 | — | 106 | 4 | no | — |
| 1128 | M16 | — | 106 | 4 | no | — |
| 1129 | M16 | — | 106 | 2 | no | — |
| 1130 | M16 | — | 106 | 2 | no | — |
| 1131 | C2×C8 | — | 53 | 2 | no | — |
| 1132 | C2×C8 | — | 53 | 2 | no | — |
| 1133 | C2×C8 | — | 106 | 4 | no | — |
| 1134 | C2×C8 | — | 106 | 4 | no | — |
| 1135 | C2×C8 | C23×D53 | 1 | 2 | yes | — |
| 1136 | C2×C8 | C23×D53 | 1 | 2 | yes | — |
| 1137 | C4⋊C4 | — | 2 | 2 | no | — |
| 1138 | C4⋊C4 | — | 53 | 2 | no | — |
| 1139 | C4⋊C4 | — | 106 | 2 | no | — |
| 1140 | C4⋊C4 | — | 106 | 2 | no | — |
| 1141 | C4⋊C4 | — | 106 | 2 | no | — |
| 1142 | C4⋊C4 | — | 106 | 2 | no | — |
| 1143 | C4⋊C4 | C23×D53 | 1 | 2 | yes | — |
| 1144 | C22⋊C4 | — | 2 | 1 | no | — |
| 1145 | C22⋊C4 | — | 2 | 2 | no | — |
| 1146 | C22⋊C4 | — | 2 | 2 | no | — |
| 1147 | C22⋊C4 | — | 106 | 2 | no | — |
| 1148 | C22⋊C4 | — | 106 | 2 | no | — |
| 1149 | C22⋊C4 | — | 106 | 2 | no | — |
| 1150 | C22⋊C4 | — | 106 | 2 | no | — |
| 1151 | C22⋊C4 | — | 106 | 2 | no | — |
| 1152 | C22⋊C4 | — | 106 | 1 | no | — |
| 1153 | C22⋊C4 | — | 106 | 2 | no | — |
| 1154 | C22⋊C4 | — | 106 | 2 | no | — |
| 1155 | C42 | — | 2 | 1 | no | — |
| 1156 | C42 | — | 106 | 2 | no | — |
| 1157 | C42 | — | 106 | 1 | no | — |
| 1158 | C23 | — | 2 | 2 | no | — |
| 1159 | C23 | — | 2 | 1 | no | — |
| 1160 | C23 | — | 4 | 2 | no | — |
| 1161 | C23 | — | 53 | 1 | no | — |
| 1162 | C23 | — | 53 | 1 | no | — |
| 1163 | C23 | — | 53 | 4 | no | — |
| 1164 | C23 | — | 53 | 2 | no | — |
| 1165 | C23 | — | 106 | 4 | no | — |
| 1166 | C23 | — | 106 | 2 | no | — |
| 1167 | C23 | — | 106 | 2 | no | — |
| 1168 | C23 | — | 106 | 1 | no | — |
| 1169 | C23 | — | 424 | 2 | no | — |
| 1170 | C23 | — | 212 | 2 | no | — |
| 1171 | C23 | — | 212 | 2 | no | — |
| 1172 | C23 | — | 212 | 4 | no | — |
| 1173 | C23 | — | 212 | 2 | no | — |
| 1174 | C23 | C2×D4×D53 | 1 | 2 | yes | — |
| 1175 | C23 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 1176 | Q8 | — | 2 | 16 | no | — |
| 1177 | Q8 | — | 2 | 4 | no | — |
| 1178 | Q8 | — | 2 | 4 | no | — |
| 1179 | Q8 | — | 2 | 2 | no | — |
| 1180 | Q8 | — | 2 | 2 | no | — |
| 1181 | Q8 | — | 2 | 1 | no | — |
| 1182 | Q8 | — | 2 | 1 | no | — |
| 1183 | Q8 | — | 53 | 4 | no | — |
| 1184 | Q8 | — | 106 | 8 | no | — |
| 1185 | Q8 | — | 106 | 8 | no | — |
| 1186 | Q8 | — | 106 | 4 | no | — |
| 1187 | Q8 | — | 106 | 4 | no | — |
| 1188 | Q8 | — | 106 | 16 | no | — |
| 1189 | Q8 | — | 106 | 4 | no | — |
| 1190 | Q8 | — | 106 | 2 | no | — |
| 1191 | Q8 | — | 106 | 1 | no | — |
| 1192 | Q8 | — | 106 | 1 | no | — |
| 1193 | Q8 | — | 212 | 2 | no | — |
| 1194 | Q8 | C2×D4×D53 | 1 | 4 | yes | — |
| 1195 | Q8 | C2×D4×D53 | 1 | 4 | yes | — |
| 1196 | D4 | — | 2 | 1 | no | — |
| 1197 | D4 | — | 2 | 1 | no | — |
| 1198 | D4 | — | 4 | 2 | no | — |
| 1199 | D4 | — | 8 | 2 | no | — |
| 1200 | D4 | — | 53 | 4 | no | — |
| 1201 | D4 | — | 106 | 4 | no | — |
| 1202 | D4 | — | 106 | 4 | no | — |
| 1203 | D4 | — | 106 | 8 | no | — |
| 1204 | D4 | — | 106 | 8 | no | — |
| 1205 | D4 | — | 106 | 16 | no | — |
| 1206 | D4 | — | 106 | 4 | no | — |
| 1207 | D4 | — | 106 | 4 | no | — |
| 1208 | D4 | — | 106 | 4 | no | — |
| 1209 | D4 | — | 106 | 4 | no | — |
| 1210 | D4 | — | 106 | 16 | no | — |
| 1211 | D4 | — | 106 | 4 | no | — |
| 1212 | D4 | — | 106 | 2 | no | — |
| 1213 | D4 | — | 106 | 1 | no | — |
| 1214 | D4 | — | 106 | 1 | no | — |
| 1215 | D4 | — | 424 | 2 | no | — |
| 1216 | D4 | — | 424 | 2 | no | — |
| 1217 | D4 | — | 424 | 2 | no | — |
| 1218 | D4 | — | 212 | 2 | no | — |
| 1219 | D4 | — | 212 | 2 | no | — |
| 1220 | D4 | — | 212 | 2 | no | — |
| 1221 | D4 | — | 212 | 2 | no | — |
| 1222 | C2×C4 | — | 2 | 16 | no | — |
| 1223 | C2×C4 | — | 2 | 4 | no | — |
| 1224 | C2×C4 | — | 2 | 4 | no | — |
| 1225 | C2×C4 | — | 2 | 2 | no | — |
| 1226 | C2×C4 | — | 2 | 2 | no | — |
| 1227 | C2×C4 | — | 2 | 2 | no | — |
| 1228 | C2×C4 | — | 2 | 4 | no | — |
| 1229 | C2×C4 | — | 2 | 2 | no | — |
| 1230 | C2×C4 | — | 2 | 2 | no | — |
| 1231 | C2×C4 | — | 2 | 2 | no | — |
| 1232 | C2×C4 | — | 2 | 1 | no | — |
| 1233 | C2×C4 | — | 4 | 2 | no | — |
| 1234 | C2×C4 | — | 53 | 4 | no | — |
| 1235 | C2×C4 | — | 53 | 1 | no | — |
| 1236 | C2×C4 | — | 53 | 1 | no | — |
| 1237 | C2×C4 | — | 53 | 4 | no | — |
| 1238 | C2×C4 | — | 53 | 4 | no | — |
| 1239 | C2×C4 | — | 53 | 2 | no | — |
| 1240 | C2×C4 | — | 53 | 2 | no | — |
| 1241 | C2×C4 | — | 53 | 2 | no | — |
| 1242 | C2×C4 | — | 53 | 2 | no | — |
| 1243 | C2×C4 | — | 53 | 2 | no | — |
| 1244 | C2×C4 | — | 106 | 8 | no | — |
| 1245 | C2×C4 | — | 106 | 8 | no | — |
| 1246 | C2×C4 | — | 106 | 8 | no | — |
| 1247 | C2×C4 | — | 106 | 8 | no | — |
| 1248 | C2×C4 | — | 106 | 16 | no | — |
| 1249 | C2×C4 | — | 106 | 16 | no | — |
| 1250 | C2×C4 | — | 106 | 16 | no | — |
| 1251 | C2×C4 | — | 106 | 2 | no | — |
| 1252 | C2×C4 | — | 106 | 4 | no | — |
| 1253 | C2×C4 | — | 106 | 2 | no | — |
| 1254 | C2×C4 | — | 106 | 4 | no | — |
| 1255 | C2×C4 | — | 106 | 2 | no | — |
| 1256 | C2×C4 | — | 106 | 2 | no | — |
| 1257 | C2×C4 | — | 106 | 2 | no | — |
| 1258 | C2×C4 | — | 106 | 1 | no | — |
| 1259 | C2×C4 | — | 424 | 2 | no | — |
| 1260 | C2×C4 | — | 212 | 2 | no | — |
| 1261 | C2×C4 | — | 212 | 2 | no | — |
| 1262 | C2×C4 | — | 212 | 2 | no | — |
| 1263 | C2×C4 | — | 212 | 2 | no | — |
| 1264 | C2×C4 | C2×D4×D53 | 1 | 2 | yes | — |
| 1265 | C2×C4 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 1266 | C2×C4 | C2×D4×D53 | 1 | 2 | yes | — |
| 1267 | C2×C4 | C2×D4×D53 | 1 | 2 | yes | — |
| 1268 | C2×C4 | C24×D53 | 1 | 1 | yes | characteristic |
| 1269 | C8 | — | 2 | 2 | no | — |
| 1270 | C8 | — | 2 | 2 | no | — |
| 1271 | C8 | — | 106 | 2 | no | — |
| 1272 | C8 | — | 106 | 2 | no | — |
| 1273 | C22 | — | 2 | 2 | no | — |
| 1274 | C22 | — | 2 | 2 | no | — |
| 1275 | C22 | — | 2 | 2 | no | — |
| 1276 | C22 | — | 2 | 2 | no | — |
| 1277 | C22 | — | 4 | 4 | no | — |
| 1278 | C22 | — | 4 | 1 | no | — |
| 1279 | C22 | — | 4 | 2 | no | — |
| 1280 | C22 | — | 53 | 2 | no | — |
| 1281 | C22 | — | 53 | 2 | no | — |
| 1282 | C22 | — | 106 | 2 | no | — |
| 1283 | C22 | — | 106 | 2 | no | — |
| 1284 | C22 | — | 106 | 4 | no | — |
| 1285 | C22 | — | 106 | 2 | no | — |
| 1286 | C22 | — | 106 | 2 | no | — |
| 1287 | C22 | — | 106 | 2 | no | — |
| 1288 | C22 | — | 424 | 4 | no | — |
| 1289 | C22 | — | 212 | 4 | no | — |
| 1290 | C22 | — | 212 | 4 | no | — |
| 1291 | C22 | — | 212 | 8 | no | — |
| 1292 | C22 | — | 212 | 1 | no | — |
| 1293 | C22 | — | 212 | 2 | no | — |
| 1294 | C22 | — | 212 | 4 | no | — |
| 1295 | C22 | #120×D53 | 1 | 2 | yes | — |
| 1296 | C22 | C22×D4×D53 | 1 | 1 | yes | characteristic |
| 1297 | C4 | — | 2 | 4 | no | — |
| 1298 | C4 | — | 2 | 4 | no | — |
| 1299 | C4 | — | 2 | 2 | no | — |
| 1300 | C4 | — | 4 | 1 | no | — |
| 1301 | C4 | — | 4 | 2 | no | — |
| 1302 | C4 | — | 53 | 2 | no | — |
| 1303 | C4 | — | 53 | 2 | no | — |
| 1304 | C4 | — | 106 | 2 | no | — |
| 1305 | C4 | — | 106 | 4 | no | — |
| 1306 | C4 | — | 212 | 1 | no | — |
| 1307 | C4 | — | 212 | 2 | no | — |
| 1308 | C4 | #120×D53 | 1 | 2 | yes | — |
| 1309 | C4 | C22×D4×D53 | 1 | 1 | yes | characteristic |
| 1310 | C4 | C22×D4×D53 | 1 | 1 | yes | characteristic |
| 1311 | C2 | — | 2 | 2 | no | — |
| 1312 | C2 | — | 4 | 2 | no | — |
| 1313 | C2 | — | 8 | 1 | no | — |
| 1314 | C2 | — | 106 | 2 | no | — |
| 1315 | C2 | — | 106 | 2 | no | — |
| 1316 | C2 | — | 424 | 1 | no | — |
| 1317 | C2 | — | 212 | 2 | no | — |
| 1318 | C2 | — | 212 | 4 | no | — |
| 1319 | C2 | C2×#120×D53 | 1 | 1 | yes | characteristic |
| 1320 | C2 | #20289498 | 1 | 2 | yes | — |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C22×#13133265 | C2 | semidirect |
| 2. C2×#16811422 | C2 | semidirect |
| 3. C2×#137×D53 | C2 | semidirect |
| 4. #20288045 | C2 | semidirect |
| 5. #20284031 | C2 | semidirect |
| 6. #20284025 | C2 | semidirect |
| 7. #20284005 | C2 | semidirect |
| 8. #20283996 | C2 | semidirect |
| 9. #20283961 | C2 | semidirect |
| 10. #20283960 | C2 | semidirect |
| 11. #20283956 | C2 | semidirect |
| 12. #20283955 | C2 | semidirect |
| 13. #20283951 | C2 | semidirect |
| 14. #20283949 | C2 | semidirect |
| 15. #20283947 | C2 | semidirect |
| 16. #20283233 | C2 | semidirect |
| 17. #419×D53 | C2 | semidirect |
| 18. #20283158 | C2 | semidirect |
| 19. C53×#3004 | C2 | semidirect |
| 25. C2×#13133265 | C22 | semidirect |
| 28. C22×#11719949 | C22 | semidirect |
| 32. C22×#11719945 | C22 | semidirect |
| 36. C22×Q8×D53 | C22 | semidirect |
| 39. C2×#13133249 | C22 | semidirect |
| 40. C2×#13133249 | C22 | semidirect |
| 44. C2×#13133246 | C22 | semidirect |
| 47. C2×#13133244 | C22 | semidirect |
| 49. C2×#13133240 | C22 | semidirect |
| 50. C2×#13133238 | C22 | semidirect |
| 51. C2×Q16×D53 | C22 | semidirect |
| 52. C2×SD16×D53 | C22 | semidirect |
| 55. #16811203 | C22 | semidirect |
| 56. #16811202 | C22 | semidirect |
| 57. #16811196 | C22 | semidirect |
| 59. #16811189 | C22 | semidirect |
| 69. #16810788 | C22 | semidirect |
| 70. #16810787 | C22 | semidirect |
| 71. #16810784 | C22 | semidirect |
| 72. #16810783 | C22 | semidirect |
| 73. #16810780 | C22 | semidirect |
| 74. #16810779 | C22 | semidirect |
| 75. #16810777 | C22 | semidirect |
| 76. #16810771 | C22 | semidirect |
| 77. #16810770 | C22 | semidirect |
| 78. #16810767 | C22 | semidirect |
| 79. #16810766 | C22 | semidirect |
| 80. #16810763 | C22 | semidirect |
| 81. #16810762 | C22 | semidirect |
| 82. #16810760 | C22 | semidirect |
| 83. #16810633 | C22 | semidirect |
| 84. #16810632 | C22 | semidirect |
| 85. #16810632 | C22 | semidirect |
| 86. #16810631 | C22 | semidirect |
| 87. #16810630 | C22 | semidirect |
| 88. #16810629 | C22 | semidirect |
| 89. #16810627 | C22 | semidirect |
| 90. #16810623 | C22 | semidirect |
| 91. #16810618 | C22 | semidirect |
| 92. #103×D53 | C22 | semidirect |
| 93. #16810588 | C22 | semidirect |
| 94. #16810588 | C22 | semidirect |
| 95. #16810587 | C22 | semidirect |
| 96. #16810586 | C22 | semidirect |
| 97. #16810586 | C22 | semidirect |
| 98. C23×Q8×C53 | C22 | semidirect |
| 102. C53×#451 | C22 | semidirect |
| 103. C53×#448 | C22 | semidirect |
| 104. C53×#419 | C22 | semidirect |
| 105. C53×#419 | C22 | semidirect |
| 106. C53×#407 | C22 | semidirect |
| 122. C2×#11719949 | D4 | semidirect |
| 162. C2×Q8×D53 | D4 | semidirect |
| 666. #3004 | D53 | semidirect |
| 697. C23×Q8 | C2×D53 | semidirect |
| 740. #451 | C2×D53 | semidirect |
| 748. #448 | C2×D53 | semidirect |
| 754. #419 | C2×D53 | semidirect |
| 755. #419 | C2×D53 | semidirect |
| 766. #407 | C2×D53 | semidirect |
| 767. C53 | #60368 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.