← #27590815
Subgroups — #27590815
Order 13568.
1304 conjugacy classes of subgroups.
The subgroup lattice has 1190 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #20282989 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #20282966 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #20282964 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #20282962 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | #20282960 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | #20282958 | C2 | 1 | 1 | yes | maximal, characteristic |
| 7 | #20282957 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | #20282956 | C2 | 1 | 1 | yes | maximal, characteristic |
| 9 | #20282955 | C2 | 1 | 1 | yes | maximal, characteristic |
| 10 | #20282954 | C2 | 1 | 1 | yes | maximal, characteristic |
| 11 | #20282953 | C2 | 1 | 1 | yes | maximal, characteristic |
| 12 | #20282952 | C2 | 1 | 1 | yes | maximal, characteristic |
| 13 | #20282785 | C2 | 1 | 1 | yes | maximal, characteristic |
| 14 | #20282784 | C2 | 1 | 1 | yes | maximal, characteristic |
| 15 | #20282781 | C2 | 1 | 1 | yes | maximal, characteristic |
| 16 | #20278021 | C2 | 1 | 1 | yes | maximal, characteristic |
| 17 | #20278021 | C2 | 1 | 1 | yes | maximal, characteristic |
| 18 | #20278021 | C2 | 1 | 1 | yes | maximal, characteristic |
| 19 | #20278021 | C2 | 1 | 1 | yes | maximal, characteristic |
| 20 | #20278021 | C2 | 1 | 1 | yes | maximal, characteristic |
| 21 | #20278021 | C2 | 1 | 1 | yes | maximal, characteristic |
| 22 | #20278021 | C2 | 1 | 1 | yes | maximal, characteristic |
| 23 | #20278019 | C2 | 1 | 1 | yes | maximal, characteristic |
| 24 | #20278019 | C2 | 1 | 1 | yes | maximal, characteristic |
| 25 | #20278019 | C2 | 1 | 1 | yes | maximal, characteristic |
| 26 | #20278019 | C2 | 1 | 1 | yes | maximal, characteristic |
| 27 | #20278019 | C2 | 1 | 1 | yes | maximal, characteristic |
| 28 | #20277274 | C2 | 1 | 1 | yes | maximal, characteristic |
| 29 | #20277272 | C2 | 1 | 1 | yes | maximal, characteristic |
| 30 | #20277272 | C2 | 1 | 1 | yes | maximal, characteristic |
| 31 | C53×#2839 | C2 | 1 | 1 | yes | maximal, characteristic |
| 32 | C2×#13133208 | C22 | 1 | 1 | yes | characteristic |
| 33 | C2×#13133207 | C22 | 1 | 1 | yes | characteristic |
| 34 | C2×#13133207 | C22 | 1 | 1 | yes | characteristic |
| 35 | #16810565 | C22 | 1 | 1 | yes | characteristic |
| 36 | #16810565 | C22 | 1 | 1 | yes | characteristic |
| 37 | #16810565 | C22 | 1 | 1 | yes | characteristic |
| 38 | #16810565 | C22 | 1 | 1 | yes | characteristic |
| 39 | #16810565 | C22 | 1 | 1 | yes | characteristic |
| 40 | #16810565 | C22 | 1 | 1 | yes | characteristic |
| 41 | #16810565 | C22 | 1 | 1 | yes | characteristic |
| 42 | #16810565 | C22 | 1 | 1 | yes | characteristic |
| 43 | #16810565 | C22 | 1 | 1 | yes | characteristic |
| 44 | #16810565 | C22 | 1 | 1 | yes | characteristic |
| 45 | #16810565 | C22 | 1 | 1 | yes | characteristic |
| 46 | #16810565 | C22 | 1 | 1 | yes | characteristic |
| 47 | #16810564 | C22 | 1 | 1 | yes | characteristic |
| 48 | #16810564 | C22 | 1 | 1 | yes | characteristic |
| 49 | #16810564 | C22 | 1 | 1 | yes | characteristic |
| 50 | #16810564 | C22 | 1 | 1 | yes | characteristic |
| 51 | #16810564 | C22 | 1 | 1 | yes | characteristic |
| 52 | #16810564 | C22 | 1 | 1 | yes | characteristic |
| 53 | #16810564 | C22 | 1 | 1 | yes | characteristic |
| 54 | #16810564 | C22 | 1 | 1 | yes | characteristic |
| 55 | #16810564 | C22 | 1 | 1 | yes | characteristic |
| 56 | #16810564 | C22 | 1 | 1 | yes | characteristic |
| 57 | #16810564 | C22 | 1 | 1 | yes | characteristic |
| 58 | #16810564 | C22 | 1 | 1 | yes | characteristic |
| 59 | #16810564 | C22 | 1 | 1 | yes | characteristic |
| 60 | #16810564 | C22 | 1 | 1 | yes | characteristic |
| 61 | #16810563 | C22 | 1 | 1 | yes | characteristic |
| 62 | #16810563 | C22 | 1 | 1 | yes | characteristic |
| 63 | #16810563 | C22 | 1 | 1 | yes | characteristic |
| 64 | #16810563 | C22 | 1 | 1 | yes | characteristic |
| 65 | #16810563 | C22 | 1 | 1 | yes | characteristic |
| 66 | #16810562 | C22 | 1 | 1 | yes | characteristic |
| 67 | #16810562 | C22 | 1 | 1 | yes | characteristic |
| 68 | #16810562 | C22 | 1 | 1 | yes | characteristic |
| 69 | #16810562 | C22 | 1 | 1 | yes | characteristic |
| 70 | #16810562 | C22 | 1 | 1 | yes | characteristic |
| 71 | #16810561 | C22 | 1 | 1 | yes | characteristic |
| 72 | #16810561 | C22 | 1 | 1 | yes | characteristic |
| 73 | #16810561 | C22 | 1 | 1 | yes | characteristic |
| 74 | #16810561 | C22 | 1 | 1 | yes | characteristic |
| 75 | #16810561 | C22 | 1 | 1 | yes | characteristic |
| 76 | #16810557 | C22 | 1 | 1 | yes | characteristic |
| 77 | #16810557 | C22 | 1 | 1 | yes | characteristic |
| 78 | #16810557 | C22 | 1 | 1 | yes | characteristic |
| 79 | #16810557 | C22 | 1 | 1 | yes | characteristic |
| 80 | #16810557 | C22 | 1 | 1 | yes | characteristic |
| 81 | #16810557 | C22 | 1 | 1 | yes | characteristic |
| 82 | #16810557 | C22 | 1 | 1 | yes | characteristic |
| 83 | #16810557 | C22 | 1 | 1 | yes | characteristic |
| 84 | #16810557 | C22 | 1 | 1 | yes | characteristic |
| 85 | #16810557 | C22 | 1 | 1 | yes | characteristic |
| 86 | #16810557 | C22 | 1 | 1 | yes | characteristic |
| 87 | #16810557 | C22 | 1 | 1 | yes | characteristic |
| 88 | #16810557 | C22 | 1 | 1 | yes | characteristic |
| 89 | #16810557 | C22 | 1 | 1 | yes | characteristic |
| 90 | #16810556 | C22 | 1 | 1 | yes | characteristic |
| 91 | #16810556 | C22 | 1 | 1 | yes | characteristic |
| 92 | #16810556 | C22 | 1 | 1 | yes | characteristic |
| 93 | #16810556 | C22 | 1 | 1 | yes | characteristic |
| 94 | #16810556 | C22 | 1 | 1 | yes | characteristic |
| 95 | #16810556 | C22 | 1 | 1 | yes | characteristic |
| 96 | #16810556 | C22 | 1 | 1 | yes | characteristic |
| 97 | #16810556 | C22 | 1 | 1 | yes | characteristic |
| 98 | #16810556 | C22 | 1 | 1 | yes | characteristic |
| 99 | #16810556 | C22 | 1 | 1 | yes | characteristic |
| 100 | #16810556 | C22 | 1 | 1 | yes | characteristic |
| 101 | #16810556 | C22 | 1 | 1 | yes | characteristic |
| 102 | #16810555 | C22 | 1 | 1 | yes | characteristic |
| 103 | #16810555 | C22 | 1 | 1 | yes | characteristic |
| 104 | #16810555 | C22 | 1 | 1 | yes | characteristic |
| 105 | #16810555 | C22 | 1 | 1 | yes | characteristic |
| 106 | #16810555 | C22 | 1 | 1 | yes | characteristic |
| 107 | #16810554 | C22 | 1 | 1 | yes | characteristic |
| 108 | #16810554 | C22 | 1 | 1 | yes | characteristic |
| 109 | #16810554 | C22 | 1 | 1 | yes | characteristic |
| 110 | #16810554 | C22 | 1 | 1 | yes | characteristic |
| 111 | #16810554 | C22 | 1 | 1 | yes | characteristic |
| 112 | #16810554 | C22 | 1 | 1 | yes | characteristic |
| 113 | #16810554 | C22 | 1 | 1 | yes | characteristic |
| 114 | #16810553 | C22 | 1 | 1 | yes | characteristic |
| 115 | #16810553 | C22 | 1 | 1 | yes | characteristic |
| 116 | #16810553 | C22 | 1 | 1 | yes | characteristic |
| 117 | #16810553 | C22 | 1 | 1 | yes | characteristic |
| 118 | #16810553 | C22 | 1 | 1 | yes | characteristic |
| 119 | #16810521 | C22 | 1 | 1 | yes | characteristic |
| 120 | #16810520 | C22 | 1 | 1 | yes | characteristic |
| 121 | #16810520 | C22 | 1 | 1 | yes | characteristic |
| 122 | #16810518 | C22 | 1 | 1 | yes | characteristic |
| 123 | #16810518 | C22 | 1 | 1 | yes | characteristic |
| 124 | #16810510 | C22 | 1 | 1 | yes | characteristic |
| 125 | #16810510 | C22 | 1 | 1 | yes | characteristic |
| 126 | #16810508 | C22 | 1 | 1 | yes | characteristic |
| 127 | #16810508 | C22 | 1 | 1 | yes | characteristic |
| 128 | #16810507 | C22 | 1 | 1 | yes | characteristic |
| 129 | #16810507 | C22 | 1 | 1 | yes | characteristic |
| 130 | #16810506 | C22 | 1 | 1 | yes | characteristic |
| 131 | #16810506 | C22 | 1 | 1 | yes | characteristic |
| 132 | #16810504 | C22 | 1 | 1 | yes | characteristic |
| 133 | #16810504 | C22 | 1 | 1 | yes | characteristic |
| 134 | #16810488 | C22 | 1 | 1 | yes | characteristic |
| 135 | #16810487 | C22 | 1 | 1 | yes | characteristic |
| 136 | #16810487 | C22 | 1 | 1 | yes | characteristic |
| 137 | C4⋊C4×Dic53 | C22 | 1 | 1 | yes | characteristic |
| 138 | C4⋊C4×Dic53 | C22 | 1 | 1 | yes | characteristic |
| 139 | C4⋊C4×Dic53 | C22 | 1 | 1 | yes | characteristic |
| 140 | C4⋊C4×Dic53 | C22 | 1 | 1 | yes | characteristic |
| 141 | C4⋊C4×Dic53 | C22 | 1 | 1 | yes | characteristic |
| 142 | C4⋊C4×Dic53 | C22 | 1 | 1 | yes | characteristic |
| 143 | C4⋊C4×Dic53 | C22 | 1 | 1 | yes | characteristic |
| 144 | C4⋊C4×Dic53 | C22 | 1 | 1 | yes | characteristic |
| 145 | C4⋊C4×Dic53 | C22 | 1 | 1 | yes | characteristic |
| 146 | C4⋊C4×Dic53 | C22 | 1 | 1 | yes | characteristic |
| 147 | C4⋊C4×Dic53 | C22 | 1 | 1 | yes | characteristic |
| 148 | C4⋊C4×Dic53 | C22 | 1 | 1 | yes | characteristic |
| 149 | C4⋊C4×Dic53 | C22 | 1 | 1 | yes | characteristic |
| 150 | C4⋊C4×Dic53 | C22 | 1 | 1 | yes | characteristic |
| 151 | #16810474 | C22 | 1 | 1 | yes | characteristic |
| 152 | #16810474 | C22 | 1 | 1 | yes | characteristic |
| 153 | #16810474 | C22 | 1 | 1 | yes | characteristic |
| 154 | #16810474 | C22 | 1 | 1 | yes | characteristic |
| 155 | #16810474 | C22 | 1 | 1 | yes | characteristic |
| 156 | #16810474 | C22 | 1 | 1 | yes | characteristic |
| 157 | #16810474 | C22 | 1 | 1 | yes | characteristic |
| 158 | #16810474 | C22 | 1 | 1 | yes | characteristic |
| 159 | #16810474 | C22 | 1 | 1 | yes | characteristic |
| 160 | #16810474 | C22 | 1 | 1 | yes | characteristic |
| 161 | #16810474 | C22 | 1 | 1 | yes | characteristic |
| 162 | #16810474 | C22 | 1 | 1 | yes | characteristic |
| 163 | #16810474 | C22 | 1 | 1 | yes | characteristic |
| 164 | #16810474 | C22 | 1 | 1 | yes | characteristic |
| 165 | #16810474 | C22 | 1 | 1 | yes | characteristic |
| 166 | #16810474 | C22 | 1 | 1 | yes | characteristic |
| 167 | #16810468 | C22 | 1 | 1 | yes | characteristic |
| 168 | #16810468 | C22 | 1 | 1 | yes | characteristic |
| 169 | #16810468 | C22 | 1 | 1 | yes | characteristic |
| 170 | #16810468 | C22 | 1 | 1 | yes | characteristic |
| 171 | C42×Dic53 | C22 | 1 | 1 | yes | characteristic |
| 172 | C53×#400 | C22 | 1 | 1 | yes | characteristic |
| 173 | C53×#400 | C22 | 1 | 1 | yes | characteristic |
| 174 | C53×#400 | C22 | 1 | 1 | yes | characteristic |
| 175 | C53×#400 | C22 | 1 | 1 | yes | characteristic |
| 176 | C53×#400 | C22 | 1 | 1 | yes | characteristic |
| 177 | C53×#400 | C22 | 1 | 1 | yes | characteristic |
| 178 | C53×#400 | C22 | 1 | 1 | yes | characteristic |
| 179 | C53×#398 | C22 | 1 | 1 | yes | characteristic |
| 180 | C53×#398 | C22 | 1 | 1 | yes | characteristic |
| 181 | C53×#398 | C22 | 1 | 1 | yes | characteristic |
| 182 | C53×#398 | C22 | 1 | 1 | yes | characteristic |
| 183 | C53×#398 | C22 | 1 | 1 | yes | characteristic |
| 184 | C53×#389 | C22 | 1 | 1 | yes | characteristic |
| 185 | C53×#387 | C22 | 1 | 1 | yes | characteristic |
| 186 | C53×#387 | C22 | 1 | 1 | yes | characteristic |
| 187 | #13133208 | — | 2 | 4 | no | — |
| 188 | #13133207 | — | 2 | 4 | no | — |
| 189 | #13133207 | — | 2 | 4 | no | — |
| 190 | C2×C4⋊Dic53 | C23 | 1 | 1 | yes | characteristic |
| 191 | C2×C4⋊Dic53 | C23 | 1 | 1 | yes | characteristic |
| 192 | C2×C4⋊Dic53 | C23 | 1 | 1 | yes | characteristic |
| 193 | C2×C4⋊Dic53 | C23 | 1 | 1 | yes | characteristic |
| 194 | C2×C4⋊Dic53 | C23 | 1 | 1 | yes | characteristic |
| 195 | C2×C4⋊Dic53 | C23 | 1 | 1 | yes | characteristic |
| 196 | C2×C4⋊Dic53 | C23 | 1 | 1 | yes | characteristic |
| 197 | C2×C4⋊Dic53 | C23 | 1 | 1 | yes | characteristic |
| 198 | C2×C4⋊Dic53 | C23 | 1 | 1 | yes | characteristic |
| 199 | C2×C4⋊Dic53 | C23 | 1 | 1 | yes | characteristic |
| 200 | C2×C4⋊Dic53 | C23 | 1 | 1 | yes | characteristic |
| 201 | C2×C4⋊Dic53 | C23 | 1 | 1 | yes | characteristic |
| 202 | C2×C4⋊Dic53 | C23 | 1 | 1 | yes | characteristic |
| 203 | C2×C4⋊Dic53 | C23 | 1 | 1 | yes | characteristic |
| 204 | C2×#11719919 | C23 | 1 | 1 | yes | characteristic |
| 205 | C2×#11719919 | C23 | 1 | 1 | yes | characteristic |
| 206 | C2×#11719919 | C23 | 1 | 1 | yes | characteristic |
| 207 | C2×#11719919 | C23 | 1 | 1 | yes | characteristic |
| 208 | C2×#11719919 | C23 | 1 | 1 | yes | characteristic |
| 209 | C2×#11719919 | C23 | 1 | 1 | yes | characteristic |
| 210 | C2×#11719919 | C23 | 1 | 1 | yes | characteristic |
| 211 | C2×#11719919 | C23 | 1 | 1 | yes | characteristic |
| 212 | C2×#11719919 | C23 | 1 | 1 | yes | characteristic |
| 213 | C2×#11719919 | C23 | 1 | 1 | yes | characteristic |
| 214 | C2×#11719919 | C23 | 1 | 1 | yes | characteristic |
| 215 | C2×#11719919 | C23 | 1 | 1 | yes | characteristic |
| 216 | C2×#11719919 | C23 | 1 | 1 | yes | characteristic |
| 217 | C2×#11719919 | C23 | 1 | 1 | yes | characteristic |
| 218 | C2×#11719919 | C23 | 1 | 1 | yes | characteristic |
| 219 | C2×#11719919 | C23 | 1 | 1 | yes | characteristic |
| 220 | C2×#11719919 | C23 | 1 | 1 | yes | characteristic |
| 221 | C2×#11719919 | C23 | 1 | 1 | yes | characteristic |
| 222 | C2×#11719919 | C23 | 1 | 1 | yes | characteristic |
| 223 | C2×#11719919 | C23 | 1 | 1 | yes | characteristic |
| 224 | C2×#11719919 | C23 | 1 | 1 | yes | characteristic |
| 225 | C2×#11719919 | C23 | 1 | 1 | yes | characteristic |
| 226 | C2×#11719919 | C23 | 1 | 1 | yes | characteristic |
| 227 | C2×#11719919 | C23 | 1 | 1 | yes | characteristic |
| 228 | C2×#11719919 | C23 | 1 | 1 | yes | characteristic |
| 229 | C2×#11719919 | C23 | 1 | 1 | yes | characteristic |
| 230 | C2×#11719919 | C23 | 1 | 1 | yes | characteristic |
| 231 | C2×#11719919 | C23 | 1 | 1 | yes | characteristic |
| 232 | C2×#11719919 | C23 | 1 | 1 | yes | characteristic |
| 233 | C2×#11719919 | C23 | 1 | 1 | yes | characteristic |
| 234 | C2×#11719919 | C23 | 1 | 1 | yes | characteristic |
| 235 | C2×#11719919 | C23 | 1 | 1 | yes | characteristic |
| 236 | C2×C4×Dic53 | C23 | 1 | 1 | yes | characteristic |
| 237 | C2×C4×Dic53 | C23 | 1 | 1 | yes | characteristic |
| 238 | C2×C4×Dic53 | C23 | 1 | 1 | yes | characteristic |
| 239 | C2×C4×Dic53 | C23 | 1 | 1 | yes | characteristic |
| 240 | C2×C4×Dic53 | C23 | 1 | 1 | yes | characteristic |
| 241 | C2×C4×Dic53 | C23 | 1 | 1 | yes | characteristic |
| 242 | C2×C4×Dic53 | C23 | 1 | 1 | yes | characteristic |
| 243 | C2×C4×Dic53 | C23 | 1 | 1 | yes | characteristic |
| 244 | C2×C4×Dic53 | C23 | 1 | 1 | yes | characteristic |
| 245 | C2×C4×Dic53 | C23 | 1 | 1 | yes | characteristic |
| 246 | C2×C4×Dic53 | C23 | 1 | 1 | yes | characteristic |
| 247 | C2×C4×Dic53 | C23 | 1 | 1 | yes | characteristic |
| 248 | C2×C4×Dic53 | C23 | 1 | 1 | yes | characteristic |
| 249 | C2×C4×Dic53 | C23 | 1 | 1 | yes | characteristic |
| 250 | C2×C4×Dic53 | C23 | 1 | 1 | yes | characteristic |
| 251 | C2×C4×Dic53 | C23 | 1 | 1 | yes | characteristic |
| 252 | C2×C4×Dic53 | C23 | 1 | 1 | yes | characteristic |
| 253 | C2×C4×Dic53 | C23 | 1 | 1 | yes | characteristic |
| 254 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 255 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 256 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 257 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 258 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 259 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 260 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 261 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 262 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 263 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 264 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 265 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 266 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 267 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 268 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 269 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 270 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 271 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 272 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 273 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 274 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 275 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 276 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 277 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 278 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 279 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 280 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 281 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 282 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 283 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 284 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 285 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 286 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 287 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 288 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 289 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 290 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 291 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 292 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 293 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 294 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 295 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 296 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 297 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 298 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 299 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 300 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 301 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 302 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 303 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 304 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 305 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 306 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 307 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 308 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 309 | #13133124 | C23 | 1 | 1 | yes | characteristic |
| 310 | C2×C4⋊C4×C53 | C23 | 1 | 1 | yes | characteristic |
| 311 | C2×C4⋊C4×C53 | C23 | 1 | 1 | yes | characteristic |
| 312 | C2×C4⋊C4×C53 | C23 | 1 | 1 | yes | characteristic |
| 313 | C2×C4⋊C4×C53 | C23 | 1 | 1 | yes | characteristic |
| 314 | C2×C4⋊C4×C53 | C23 | 1 | 1 | yes | characteristic |
| 315 | C2×C4⋊C4×C53 | C23 | 1 | 1 | yes | characteristic |
| 316 | C2×C4⋊C4×C53 | C23 | 1 | 1 | yes | characteristic |
| 317 | C2×C4⋊C4×C53 | C23 | 1 | 1 | yes | characteristic |
| 318 | C2×C4⋊C4×C53 | C23 | 1 | 1 | yes | characteristic |
| 319 | C2×C4⋊C4×C53 | C23 | 1 | 1 | yes | characteristic |
| 320 | C2×C4⋊C4×C53 | C23 | 1 | 1 | yes | characteristic |
| 321 | C2×C4⋊C4×C53 | C23 | 1 | 1 | yes | characteristic |
| 322 | C2×C4⋊C4×C53 | C23 | 1 | 1 | yes | characteristic |
| 323 | C2×C4⋊C4×C53 | C23 | 1 | 1 | yes | characteristic |
| 324 | C2×C42×C53 | C23 | 1 | 1 | yes | characteristic |
| 325 | #95×C53 | C23 | 1 | 1 | yes | characteristic |
| 326 | #95×C53 | C23 | 1 | 1 | yes | characteristic |
| 327 | #95×C53 | C23 | 1 | 1 | yes | characteristic |
| 328 | #95×C53 | C23 | 1 | 1 | yes | characteristic |
| 329 | #95×C53 | C23 | 1 | 1 | yes | characteristic |
| 330 | #95×C53 | C23 | 1 | 1 | yes | characteristic |
| 331 | #95×C53 | C23 | 1 | 1 | yes | characteristic |
| 332 | #95×C53 | C23 | 1 | 1 | yes | characteristic |
| 333 | #95×C53 | C23 | 1 | 1 | yes | characteristic |
| 334 | #95×C53 | C23 | 1 | 1 | yes | characteristic |
| 335 | #95×C53 | C23 | 1 | 1 | yes | characteristic |
| 336 | #95×C53 | C23 | 1 | 1 | yes | characteristic |
| 337 | #95×C53 | C23 | 1 | 1 | yes | characteristic |
| 338 | #95×C53 | C23 | 1 | 1 | yes | characteristic |
| 339 | #95×C53 | C23 | 1 | 1 | yes | characteristic |
| 340 | #95×C53 | C23 | 1 | 1 | yes | characteristic |
| 341 | #95×C53 | C23 | 1 | 1 | yes | characteristic |
| 342 | #95×C53 | C23 | 1 | 1 | yes | characteristic |
| 343 | #95×C53 | C23 | 1 | 1 | yes | characteristic |
| 344 | #95×C53 | C23 | 1 | 1 | yes | characteristic |
| 345 | C22×C4×C53 | C24 | 1 | 1 | yes | characteristic |
| 346 | C22×C4×C53 | C24 | 1 | 1 | yes | characteristic |
| 347 | C22×C4×C53 | C24 | 1 | 1 | yes | characteristic |
| 348 | C22×C4×C53 | C24 | 1 | 1 | yes | characteristic |
| 349 | C22×C4×C53 | C24 | 1 | 1 | yes | characteristic |
| 350 | C22×C4×C53 | C24 | 1 | 1 | yes | characteristic |
| 351 | C22×C4×C53 | C24 | 1 | 1 | yes | characteristic |
| 352 | C22×C4×C53 | C24 | 1 | 1 | yes | characteristic |
| 353 | C22×C4×C53 | C24 | 1 | 1 | yes | characteristic |
| 354 | C22×C4×C53 | C24 | 1 | 1 | yes | characteristic |
| 355 | C22×C4×C53 | C24 | 1 | 1 | yes | characteristic |
| 356 | C22×C4×C53 | C24 | 1 | 1 | yes | characteristic |
| 357 | C22×C4×C53 | C24 | 1 | 1 | yes | characteristic |
| 358 | C22×C4×C53 | C24 | 1 | 1 | yes | characteristic |
| 359 | C22×C4×C53 | C24 | 1 | 1 | yes | characteristic |
| 360 | C22×Dic53 | C24 | 1 | 1 | yes | characteristic |
| 361 | C22×Dic53 | C24 | 1 | 1 | yes | characteristic |
| 362 | C22×Dic53 | C24 | 1 | 1 | yes | characteristic |
| 363 | C22×Dic53 | C24 | 1 | 1 | yes | characteristic |
| 364 | C22×Dic53 | C24 | 1 | 1 | yes | characteristic |
| 365 | C22×Dic53 | C24 | 1 | 1 | yes | characteristic |
| 366 | C22×Dic53 | C24 | 1 | 1 | yes | characteristic |
| 367 | C22×Dic53 | C24 | 1 | 1 | yes | characteristic |
| 368 | C22×Dic53 | C24 | 1 | 1 | yes | characteristic |
| 369 | C22×Dic53 | C24 | 1 | 1 | yes | characteristic |
| 370 | C22×Dic53 | C24 | 1 | 1 | yes | characteristic |
| 371 | C22×Dic53 | C24 | 1 | 1 | yes | characteristic |
| 372 | C22×Dic53 | C24 | 1 | 1 | yes | characteristic |
| 373 | C22×Dic53 | C24 | 1 | 1 | yes | characteristic |
| 374 | C22×Dic53 | C24 | 1 | 1 | yes | characteristic |
| 375 | C22×Dic53 | C24 | 1 | 1 | yes | characteristic |
| 376 | C4⋊C4×C53 | — | 2 | 2 | no | — |
| 377 | C4⋊C4×C53 | — | 2 | 2 | no | — |
| 378 | C4⋊C4×C53 | — | 2 | 2 | no | — |
| 379 | C4⋊C4×C53 | — | 4 | 1 | no | — |
| 380 | C4⋊C4×C53 | — | 4 | 1 | no | — |
| 381 | C4⋊C4×C53 | — | 4 | 1 | no | — |
| 382 | C4⋊C4×C53 | — | 4 | 1 | no | — |
| 383 | C4⋊C4×C53 | — | 4 | 1 | no | — |
| 384 | C4⋊C4×C53 | — | 4 | 1 | no | — |
| 385 | C4⋊C4×C53 | — | 4 | 1 | no | — |
| 386 | C4⋊C4×C53 | — | 4 | 1 | no | — |
| 387 | C4⋊C4×C53 | — | 4 | 1 | no | — |
| 388 | C4⋊C4×C53 | — | 4 | 1 | no | — |
| 389 | C4⋊C4×C53 | — | 4 | 1 | no | — |
| 390 | C42×C53 | — | 4 | 1 | no | — |
| 391 | C4⋊Dic53 | — | 2 | 2 | no | — |
| 392 | C4⋊Dic53 | — | 2 | 2 | no | — |
| 393 | C4⋊Dic53 | — | 2 | 2 | no | — |
| 394 | C4⋊Dic53 | — | 2 | 2 | no | — |
| 395 | C4⋊Dic53 | — | 2 | 2 | no | — |
| 396 | C4⋊Dic53 | — | 4 | 1 | no | — |
| 397 | C4⋊Dic53 | — | 4 | 1 | no | — |
| 398 | C4⋊Dic53 | — | 4 | 1 | no | — |
| 399 | C4⋊Dic53 | — | 4 | 1 | no | — |
| 400 | C4⋊Dic53 | — | 4 | 1 | no | — |
| 401 | C4⋊Dic53 | — | 4 | 1 | no | — |
| 402 | C4⋊Dic53 | — | 4 | 1 | no | — |
| 403 | C4⋊Dic53 | — | 4 | 1 | no | — |
| 404 | C4⋊Dic53 | — | 4 | 1 | no | — |
| 405 | #11719919 | — | 2 | 2 | no | — |
| 406 | #11719919 | — | 2 | 2 | no | — |
| 407 | #11719919 | — | 2 | 2 | no | — |
| 408 | #11719919 | — | 2 | 2 | no | — |
| 409 | #11719919 | — | 2 | 2 | no | — |
| 410 | #11719919 | — | 2 | 2 | no | — |
| 411 | #11719919 | — | 2 | 2 | no | — |
| 412 | #11719919 | — | 2 | 2 | no | — |
| 413 | #11719919 | — | 2 | 2 | no | — |
| 414 | #11719919 | — | 2 | 2 | no | — |
| 415 | #11719919 | — | 4 | 1 | no | — |
| 416 | #11719919 | — | 4 | 1 | no | — |
| 417 | #11719919 | — | 4 | 1 | no | — |
| 418 | #11719919 | — | 4 | 1 | no | — |
| 419 | #11719919 | — | 4 | 1 | no | — |
| 420 | #11719919 | — | 4 | 1 | no | — |
| 421 | #11719919 | — | 4 | 1 | no | — |
| 422 | #11719919 | — | 4 | 1 | no | — |
| 423 | #11719919 | — | 4 | 1 | no | — |
| 424 | #11719919 | — | 4 | 1 | no | — |
| 425 | #11719919 | — | 4 | 1 | no | — |
| 426 | #11719919 | — | 4 | 1 | no | — |
| 427 | #11719919 | — | 4 | 1 | no | — |
| 428 | #11719919 | — | 4 | 1 | no | — |
| 429 | #11719919 | — | 4 | 1 | no | — |
| 430 | #11719919 | — | 4 | 1 | no | — |
| 431 | #11719919 | — | 4 | 1 | no | — |
| 432 | #11719919 | — | 4 | 1 | no | — |
| 433 | #11719919 | — | 4 | 1 | no | — |
| 434 | #11719919 | — | 4 | 1 | no | — |
| 435 | #11719919 | — | 4 | 1 | no | — |
| 436 | #11719919 | — | 4 | 1 | no | — |
| 437 | C4×Dic53 | — | 2 | 2 | no | — |
| 438 | C4×Dic53 | — | 2 | 2 | no | — |
| 439 | C4×Dic53 | — | 2 | 2 | no | — |
| 440 | C4×Dic53 | — | 2 | 2 | no | — |
| 441 | C4×Dic53 | — | 2 | 2 | no | — |
| 442 | C4×Dic53 | — | 2 | 2 | no | — |
| 443 | C4×Dic53 | — | 2 | 2 | no | — |
| 444 | C4×Dic53 | — | 2 | 2 | no | — |
| 445 | C4×Dic53 | — | 2 | 2 | no | — |
| 446 | C4×Dic53 | — | 2 | 2 | no | — |
| 447 | C4×Dic53 | — | 2 | 2 | no | — |
| 448 | C4×Dic53 | — | 2 | 2 | no | — |
| 449 | C4×Dic53 | — | 2 | 2 | no | — |
| 450 | C4×Dic53 | — | 2 | 2 | no | — |
| 451 | C4×Dic53 | — | 2 | 2 | no | — |
| 452 | C4×Dic53 | — | 4 | 1 | no | — |
| 453 | C4×Dic53 | — | 4 | 1 | no | — |
| 454 | C4×Dic53 | #41 | 1 | 4 | yes | — |
| 455 | C23×C53 | C25 | 1 | 1 | yes | characteristic |
| 456 | C2×C4×C53 | — | 2 | 1 | no | — |
| 457 | C2×C4×C53 | — | 2 | 1 | no | — |
| 458 | C2×C4×C53 | — | 2 | 1 | no | — |
| 459 | C2×C4×C53 | — | 2 | 1 | no | — |
| 460 | C2×C4×C53 | — | 2 | 1 | no | — |
| 461 | C2×C4×C53 | — | 2 | 1 | no | — |
| 462 | C2×C4×C53 | — | 2 | 1 | no | — |
| 463 | C2×C4×C53 | — | 2 | 1 | no | — |
| 464 | C2×C4×C53 | — | 2 | 1 | no | — |
| 465 | C2×C4×C53 | — | 2 | 1 | no | — |
| 466 | C2×C4×C53 | — | 2 | 1 | no | — |
| 467 | C2×C4×C53 | — | 2 | 1 | no | — |
| 468 | C2×C4×C53 | — | 2 | 1 | no | — |
| 469 | C2×C4×C53 | — | 2 | 1 | no | — |
| 470 | C2×C4×C53 | — | 2 | 1 | no | — |
| 471 | C2×C4×C53 | — | 2 | 1 | no | — |
| 472 | C2×C4×C53 | — | 2 | 1 | no | — |
| 473 | C2×C4×C53 | — | 2 | 1 | no | — |
| 474 | C2×C4×C53 | — | 2 | 1 | no | — |
| 475 | C2×C4×C53 | — | 2 | 1 | no | — |
| 476 | C2×C4×C53 | — | 2 | 1 | no | — |
| 477 | C2×C4×C53 | — | 2 | 1 | no | — |
| 478 | C2×C4×C53 | — | 2 | 1 | no | — |
| 479 | C2×C4×C53 | — | 2 | 1 | no | — |
| 480 | C2×C4×C53 | — | 2 | 1 | no | — |
| 481 | C2×C4×C53 | — | 2 | 1 | no | — |
| 482 | C2×C4×C53 | — | 2 | 1 | no | — |
| 483 | C2×C4×C53 | — | 2 | 1 | no | — |
| 484 | C2×C4×C53 | — | 2 | 1 | no | — |
| 485 | C2×C4×C53 | — | 2 | 1 | no | — |
| 486 | C2×C4×C53 | — | 2 | 1 | no | — |
| 487 | C2×C4×C53 | — | 2 | 1 | no | — |
| 488 | C2×C4×C53 | — | 2 | 1 | no | — |
| 489 | C2×C4×C53 | — | 2 | 1 | no | — |
| 490 | C2×C4×C53 | — | 2 | 1 | no | — |
| 491 | C2×C4×C53 | — | 2 | 1 | no | — |
| 492 | C2×C4×C53 | — | 2 | 1 | no | — |
| 493 | C2×C4×C53 | — | 2 | 1 | no | — |
| 494 | C2×C4×C53 | — | 2 | 1 | no | — |
| 495 | C2×C4×C53 | — | 2 | 1 | no | — |
| 496 | C2×C4×C53 | — | 2 | 1 | no | — |
| 497 | C2×C4×C53 | — | 2 | 1 | no | — |
| 498 | C2×C4×C53 | — | 2 | 1 | no | — |
| 499 | C2×C4×C53 | — | 2 | 1 | no | — |
| 500 | C2×C4×C53 | C2×#41 | 1 | 2 | yes | — |
| 501 | C2×Dic53 | — | 2 | 1 | no | — |
| 502 | C2×Dic53 | — | 2 | 1 | no | — |
| 503 | C2×Dic53 | — | 2 | 1 | no | — |
| 504 | C2×Dic53 | — | 2 | 1 | no | — |
| 505 | C2×Dic53 | — | 2 | 1 | no | — |
| 506 | C2×Dic53 | — | 2 | 1 | no | — |
| 507 | C2×Dic53 | — | 2 | 1 | no | — |
| 508 | C2×Dic53 | — | 2 | 1 | no | — |
| 509 | C2×Dic53 | — | 2 | 1 | no | — |
| 510 | C2×Dic53 | — | 2 | 1 | no | — |
| 511 | C2×Dic53 | — | 2 | 1 | no | — |
| 512 | C2×Dic53 | — | 2 | 1 | no | — |
| 513 | C2×Dic53 | — | 2 | 1 | no | — |
| 514 | C2×Dic53 | — | 2 | 1 | no | — |
| 515 | C2×Dic53 | — | 2 | 1 | no | — |
| 516 | C2×Dic53 | — | 2 | 1 | no | — |
| 517 | C2×Dic53 | — | 2 | 1 | no | — |
| 518 | C2×Dic53 | — | 2 | 1 | no | — |
| 519 | C2×Dic53 | — | 2 | 1 | no | — |
| 520 | C2×Dic53 | — | 2 | 1 | no | — |
| 521 | C2×Dic53 | — | 2 | 1 | no | — |
| 522 | C2×Dic53 | — | 2 | 1 | no | — |
| 523 | C2×Dic53 | — | 2 | 1 | no | — |
| 524 | C2×Dic53 | — | 2 | 1 | no | — |
| 525 | C2×Dic53 | — | 2 | 1 | no | — |
| 526 | C2×Dic53 | — | 2 | 1 | no | — |
| 527 | C2×Dic53 | — | 2 | 1 | no | — |
| 528 | C2×Dic53 | — | 2 | 1 | no | — |
| 529 | C2×Dic53 | — | 2 | 1 | no | — |
| 530 | C2×Dic53 | — | 2 | 1 | no | — |
| 531 | C2×Dic53 | — | 2 | 1 | no | — |
| 532 | C2×Dic53 | — | 2 | 1 | no | — |
| 533 | C2×Dic53 | — | 2 | 1 | no | — |
| 534 | C2×Dic53 | — | 2 | 1 | no | — |
| 535 | C2×Dic53 | — | 2 | 1 | no | — |
| 536 | C2×Dic53 | — | 2 | 1 | no | — |
| 537 | C2×Dic53 | — | 2 | 1 | no | — |
| 538 | C2×Dic53 | — | 2 | 1 | no | — |
| 539 | C2×Dic53 | — | 2 | 1 | no | — |
| 540 | C2×Dic53 | — | 2 | 1 | no | — |
| 541 | C2×Dic53 | — | 2 | 1 | no | — |
| 542 | C2×Dic53 | — | 2 | 1 | no | — |
| 543 | C2×Dic53 | — | 2 | 1 | no | — |
| 544 | C2×Dic53 | C2×#41 | 1 | 2 | yes | — |
| 545 | C2×Dic53 | C2×#41 | 1 | 2 | yes | — |
| 546 | C2×Dic53 | 2−1+4 | 1 | 2 | yes | — |
| 547 | C2×Dic53 | 2−1+4 | 1 | 2 | yes | — |
| 548 | C2×Dic53 | 2−1+4 | 1 | 2 | yes | — |
| 549 | #36701 | — | 53 | 1 | no | maximal, Sylow |
| 550 | C22×C53 | C22×#41 | 1 | 1 | yes | characteristic |
| 551 | C22×C53 | C2×2−1+4 | 1 | 1 | yes | characteristic |
| 552 | C22×C53 | C2×2−1+4 | 1 | 1 | yes | characteristic |
| 553 | C22×C53 | C2×2−1+4 | 1 | 1 | yes | characteristic |
| 554 | C22×C53 | #585 | 1 | 1 | yes | characteristic |
| 555 | C22×C53 | #585 | 1 | 1 | yes | characteristic |
| 556 | C22×C53 | #585 | 1 | 1 | yes | characteristic |
| 557 | C4×C53 | — | 2 | 2 | no | — |
| 558 | C4×C53 | — | 4 | 1 | no | — |
| 559 | C4×C53 | — | 4 | 1 | no | — |
| 560 | C4×C53 | — | 4 | 1 | no | — |
| 561 | C4×C53 | — | 4 | 1 | no | — |
| 562 | C4×C53 | — | 4 | 1 | no | — |
| 563 | C4×C53 | — | 4 | 1 | no | — |
| 564 | C4×C53 | — | 4 | 1 | no | — |
| 565 | C4×C53 | — | 4 | 1 | no | — |
| 566 | C4×C53 | — | 4 | 1 | no | — |
| 567 | C4×C53 | — | 4 | 1 | no | — |
| 568 | C4×C53 | — | 4 | 1 | no | — |
| 569 | C4×C53 | — | 4 | 1 | no | — |
| 570 | C4×C53 | — | 4 | 1 | no | — |
| 571 | C4×C53 | — | 4 | 1 | no | — |
| 572 | Dic53 | — | 2 | 2 | no | — |
| 573 | Dic53 | — | 2 | 2 | no | — |
| 574 | Dic53 | — | 4 | 1 | no | — |
| 575 | Dic53 | — | 4 | 1 | no | — |
| 576 | Dic53 | — | 4 | 1 | no | — |
| 577 | Dic53 | — | 4 | 1 | no | — |
| 578 | Dic53 | — | 4 | 1 | no | — |
| 579 | Dic53 | — | 4 | 1 | no | — |
| 580 | Dic53 | — | 4 | 1 | no | — |
| 581 | Dic53 | — | 4 | 1 | no | — |
| 582 | Dic53 | — | 4 | 1 | no | — |
| 583 | Dic53 | — | 4 | 1 | no | — |
| 584 | Dic53 | — | 4 | 1 | no | — |
| 585 | Dic53 | — | 4 | 1 | no | — |
| 586 | Dic53 | — | 4 | 1 | no | — |
| 587 | Dic53 | #564 | 1 | 4 | yes | — |
| 588 | #2845 | — | 53 | 1 | no | — |
| 589 | #2839 | — | 53 | 1 | no | — |
| 590 | #2839 | — | 53 | 1 | no | — |
| 591 | #2839 | — | 53 | 1 | no | — |
| 592 | #2839 | — | 53 | 1 | no | — |
| 593 | #2839 | — | 53 | 1 | no | — |
| 594 | #2839 | — | 53 | 1 | no | — |
| 595 | #2839 | — | 53 | 1 | no | — |
| 596 | #2839 | — | 53 | 1 | no | — |
| 597 | #2839 | — | 53 | 1 | no | — |
| 598 | #2839 | — | 53 | 1 | no | — |
| 599 | #2839 | — | 53 | 1 | no | — |
| 600 | #2839 | D53 | 1 | 1 | yes | characteristic |
| 601 | #2822 | — | 53 | 1 | no | — |
| 602 | #2822 | — | 53 | 1 | no | — |
| 603 | #2822 | — | 53 | 1 | no | — |
| 604 | #2402 | — | 53 | 1 | no | — |
| 605 | #2402 | — | 53 | 1 | no | — |
| 606 | #2402 | — | 53 | 1 | no | — |
| 607 | #2402 | — | 53 | 1 | no | — |
| 608 | #2402 | — | 53 | 1 | no | — |
| 609 | #2402 | — | 53 | 1 | no | — |
| 610 | #2402 | — | 53 | 1 | no | — |
| 611 | #2402 | — | 53 | 1 | no | — |
| 612 | #2402 | — | 53 | 1 | no | — |
| 613 | #2402 | — | 53 | 1 | no | — |
| 614 | #2402 | — | 53 | 1 | no | — |
| 615 | #2402 | — | 53 | 1 | no | — |
| 616 | C4×#125 | — | 53 | 1 | no | — |
| 617 | C4×#125 | — | 53 | 1 | no | — |
| 618 | C4×#125 | — | 53 | 1 | no | — |
| 619 | C2×C53 | #3461 | 1 | 1 | yes | characteristic |
| 620 | C2×C53 | #3461 | 1 | 1 | yes | characteristic |
| 621 | C2×C53 | #3461 | 1 | 1 | yes | characteristic |
| 622 | C2×C53 | C2×#564 | 1 | 1 | yes | characteristic |
| 623 | C2×C53 | #3531 | 1 | 1 | yes | characteristic |
| 624 | C2×C53 | #3531 | 1 | 1 | yes | characteristic |
| 625 | C2×C53 | #3531 | 1 | 1 | yes | characteristic |
| 626 | C2×#125 | — | 53 | 1 | no | — |
| 627 | C2×#125 | — | 53 | 1 | no | — |
| 628 | C2×#125 | — | 53 | 1 | no | — |
| 629 | #400 | — | 53 | 1 | no | — |
| 630 | #400 | — | 53 | 1 | no | — |
| 631 | #400 | — | 53 | 1 | no | — |
| 632 | #400 | — | 53 | 1 | no | — |
| 633 | #400 | — | 53 | 1 | no | — |
| 634 | #400 | — | 53 | 1 | no | — |
| 635 | #400 | — | 53 | 1 | no | — |
| 636 | #400 | — | 53 | 1 | no | — |
| 637 | #400 | — | 53 | 1 | no | — |
| 638 | #400 | — | 53 | 1 | no | — |
| 639 | #400 | — | 53 | 1 | no | — |
| 640 | #400 | — | 53 | 1 | no | — |
| 641 | #400 | — | 53 | 1 | no | — |
| 642 | #400 | — | 53 | 1 | no | — |
| 643 | #400 | — | 53 | 1 | no | — |
| 644 | #400 | — | 53 | 1 | no | — |
| 645 | #400 | — | 53 | 1 | no | — |
| 646 | #400 | — | 53 | 1 | no | — |
| 647 | #400 | — | 53 | 1 | no | — |
| 648 | #400 | — | 53 | 1 | no | — |
| 649 | #400 | — | 53 | 1 | no | — |
| 650 | #400 | — | 53 | 1 | no | — |
| 651 | #400 | — | 53 | 1 | no | — |
| 652 | #400 | — | 53 | 1 | no | — |
| 653 | #400 | — | 53 | 1 | no | — |
| 654 | #400 | — | 53 | 1 | no | — |
| 655 | #400 | — | 53 | 1 | no | — |
| 656 | #400 | — | 53 | 1 | no | — |
| 657 | #400 | — | 53 | 1 | no | — |
| 658 | #400 | — | 53 | 1 | no | — |
| 659 | #400 | — | 53 | 1 | no | — |
| 660 | #400 | — | 53 | 1 | no | — |
| 661 | #400 | — | 53 | 1 | no | — |
| 662 | #400 | — | 53 | 1 | no | — |
| 663 | #400 | — | 53 | 1 | no | — |
| 664 | #400 | — | 53 | 1 | no | — |
| 665 | #400 | — | 53 | 1 | no | — |
| 666 | #400 | — | 53 | 1 | no | — |
| 667 | #400 | — | 53 | 1 | no | — |
| 668 | #400 | — | 53 | 1 | no | — |
| 669 | #400 | — | 53 | 1 | no | — |
| 670 | #400 | C2×D53 | 1 | 1 | yes | characteristic |
| 671 | #400 | C2×D53 | 1 | 1 | yes | characteristic |
| 672 | #400 | C2×D53 | 1 | 1 | yes | characteristic |
| 673 | #400 | C2×D53 | 1 | 1 | yes | characteristic |
| 674 | #400 | C2×D53 | 1 | 1 | yes | characteristic |
| 675 | #400 | C2×D53 | 1 | 1 | yes | characteristic |
| 676 | #400 | C2×D53 | 1 | 1 | yes | characteristic |
| 677 | #398 | — | 53 | 1 | no | — |
| 678 | #398 | — | 53 | 1 | no | — |
| 679 | #398 | — | 53 | 1 | no | — |
| 680 | #398 | — | 53 | 1 | no | — |
| 681 | #398 | — | 53 | 1 | no | — |
| 682 | #398 | — | 53 | 1 | no | — |
| 683 | #398 | — | 53 | 1 | no | — |
| 684 | #398 | — | 53 | 1 | no | — |
| 685 | #398 | — | 53 | 1 | no | — |
| 686 | #398 | — | 53 | 1 | no | — |
| 687 | #398 | — | 53 | 1 | no | — |
| 688 | #398 | — | 53 | 1 | no | — |
| 689 | #398 | — | 53 | 1 | no | — |
| 690 | #398 | — | 53 | 1 | no | — |
| 691 | #398 | — | 53 | 1 | no | — |
| 692 | #398 | — | 53 | 1 | no | — |
| 693 | #398 | — | 53 | 1 | no | — |
| 694 | #398 | — | 53 | 1 | no | — |
| 695 | #398 | — | 53 | 1 | no | — |
| 696 | #398 | — | 53 | 1 | no | — |
| 697 | #398 | — | 53 | 1 | no | — |
| 698 | #398 | — | 53 | 1 | no | — |
| 699 | #398 | — | 53 | 1 | no | — |
| 700 | #398 | — | 53 | 1 | no | — |
| 701 | #398 | — | 53 | 1 | no | — |
| 702 | #398 | — | 53 | 1 | no | — |
| 703 | #398 | — | 53 | 1 | no | — |
| 704 | #398 | — | 53 | 1 | no | — |
| 705 | #398 | — | 53 | 1 | no | — |
| 706 | #398 | — | 53 | 1 | no | — |
| 707 | #398 | — | 53 | 1 | no | — |
| 708 | #398 | — | 53 | 1 | no | — |
| 709 | #398 | — | 53 | 1 | no | — |
| 710 | #398 | — | 53 | 1 | no | — |
| 711 | #398 | — | 53 | 1 | no | — |
| 712 | #398 | — | 53 | 1 | no | — |
| 713 | #398 | — | 53 | 1 | no | — |
| 714 | #398 | — | 53 | 1 | no | — |
| 715 | #398 | — | 53 | 1 | no | — |
| 716 | #398 | — | 53 | 1 | no | — |
| 717 | #398 | — | 53 | 1 | no | — |
| 718 | #398 | — | 53 | 1 | no | — |
| 719 | #398 | — | 53 | 1 | no | — |
| 720 | #398 | C2×D53 | 1 | 1 | yes | characteristic |
| 721 | #398 | C2×D53 | 1 | 1 | yes | characteristic |
| 722 | #398 | C2×D53 | 1 | 1 | yes | characteristic |
| 723 | #398 | C2×D53 | 1 | 1 | yes | characteristic |
| 724 | #398 | C2×D53 | 1 | 1 | yes | characteristic |
| 725 | #389 | — | 53 | 1 | no | — |
| 726 | #389 | — | 53 | 1 | no | — |
| 727 | #389 | — | 53 | 1 | no | — |
| 728 | #389 | — | 53 | 1 | no | — |
| 729 | #389 | — | 53 | 1 | no | — |
| 730 | #389 | C2×D53 | 1 | 1 | yes | characteristic |
| 731 | #387 | — | 53 | 1 | no | — |
| 732 | #387 | — | 53 | 1 | no | — |
| 733 | #387 | — | 53 | 1 | no | — |
| 734 | #387 | — | 53 | 1 | no | — |
| 735 | #387 | — | 53 | 1 | no | — |
| 736 | #387 | — | 53 | 1 | no | — |
| 737 | #387 | — | 53 | 1 | no | — |
| 738 | #387 | — | 53 | 1 | no | — |
| 739 | #387 | — | 53 | 1 | no | — |
| 740 | #387 | — | 53 | 1 | no | — |
| 741 | #387 | C2×D53 | 1 | 1 | yes | characteristic |
| 742 | #387 | C2×D53 | 1 | 1 | yes | characteristic |
| 743 | #382 | — | 53 | 1 | no | — |
| 744 | #382 | — | 53 | 1 | no | — |
| 745 | #382 | — | 53 | 1 | no | — |
| 746 | C4×C4⋊C4 | — | 53 | 1 | no | — |
| 747 | C4×C4⋊C4 | — | 53 | 1 | no | — |
| 748 | C4×C4⋊C4 | — | 53 | 1 | no | — |
| 749 | C4×C4⋊C4 | — | 53 | 1 | no | — |
| 750 | C4×C4⋊C4 | — | 53 | 1 | no | — |
| 751 | C4×C4⋊C4 | — | 53 | 1 | no | — |
| 752 | C4×C4⋊C4 | — | 53 | 1 | no | — |
| 753 | C4×C4⋊C4 | — | 53 | 1 | no | — |
| 754 | C4×C4⋊C4 | — | 53 | 1 | no | — |
| 755 | C4×C4⋊C4 | — | 53 | 1 | no | — |
| 756 | C4×C4⋊C4 | — | 53 | 1 | no | — |
| 757 | C4×C4⋊C4 | — | 53 | 1 | no | — |
| 758 | C4×C4⋊C4 | — | 53 | 1 | no | — |
| 759 | C4×C4⋊C4 | — | 53 | 1 | no | — |
| 760 | C4×C4⋊C4 | — | 53 | 1 | no | — |
| 761 | C4×C4⋊C4 | — | 53 | 1 | no | — |
| 762 | C4×C4⋊C4 | — | 53 | 1 | no | — |
| 763 | C4×C4⋊C4 | — | 53 | 1 | no | — |
| 764 | C4×C4⋊C4 | — | 53 | 1 | no | — |
| 765 | C4×C4⋊C4 | — | 53 | 1 | no | — |
| 766 | C4×C4⋊C4 | — | 53 | 1 | no | — |
| 767 | C4×C4⋊C4 | — | 53 | 1 | no | — |
| 768 | C4×C4⋊C4 | — | 53 | 1 | no | — |
| 769 | C4×C4⋊C4 | — | 53 | 1 | no | — |
| 770 | C4×C4⋊C4 | — | 53 | 1 | no | — |
| 771 | C4×C4⋊C4 | — | 53 | 1 | no | — |
| 772 | C4×C4⋊C4 | — | 53 | 1 | no | — |
| 773 | C4×C4⋊C4 | — | 53 | 1 | no | — |
| 774 | C4×C4⋊C4 | — | 53 | 1 | no | — |
| 775 | C4×C4⋊C4 | — | 53 | 1 | no | — |
| 776 | #376 | — | 53 | 1 | no | — |
| 777 | #376 | — | 53 | 1 | no | — |
| 778 | #376 | — | 53 | 1 | no | — |
| 779 | #376 | — | 53 | 1 | no | — |
| 780 | C43 | — | 53 | 1 | no | — |
| 781 | C53 | #36701 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 782 | #125 | — | 106 | 4 | no | — |
| 783 | #125 | — | 106 | 4 | no | — |
| 784 | #125 | — | 106 | 4 | no | — |
| 785 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 786 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 787 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 788 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 789 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 790 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 791 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 792 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 793 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 794 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 795 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 796 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 797 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 798 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 799 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 800 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 801 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 802 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 803 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 804 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 805 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 806 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 807 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 808 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 809 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 810 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 811 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 812 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 813 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 814 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 815 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 816 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 817 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 818 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 819 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 820 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 821 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 822 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 823 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 824 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 825 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 826 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 827 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 828 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 829 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 830 | C2×C4⋊C4 | — | 53 | 1 | no | — |
| 831 | C2×C4⋊C4 | C22×D53 | 1 | 1 | yes | characteristic |
| 832 | C2×C4⋊C4 | C22×D53 | 1 | 1 | yes | characteristic |
| 833 | C2×C4⋊C4 | C22×D53 | 1 | 1 | yes | characteristic |
| 834 | C2×C4⋊C4 | C22×D53 | 1 | 1 | yes | characteristic |
| 835 | C2×C4⋊C4 | C22×D53 | 1 | 1 | yes | characteristic |
| 836 | C2×C4⋊C4 | C22×D53 | 1 | 1 | yes | characteristic |
| 837 | C2×C4⋊C4 | C22×D53 | 1 | 1 | yes | characteristic |
| 838 | C2×C4⋊C4 | C22×D53 | 1 | 1 | yes | characteristic |
| 839 | C2×C4⋊C4 | C22×D53 | 1 | 1 | yes | characteristic |
| 840 | C2×C4⋊C4 | C22×D53 | 1 | 1 | yes | characteristic |
| 841 | C2×C4⋊C4 | C22×D53 | 1 | 1 | yes | characteristic |
| 842 | C2×C4⋊C4 | C22×D53 | 1 | 1 | yes | characteristic |
| 843 | C2×C4⋊C4 | C22×D53 | 1 | 1 | yes | characteristic |
| 844 | C2×C4⋊C4 | C22×D53 | 1 | 1 | yes | characteristic |
| 845 | C2×C42 | — | 53 | 1 | no | — |
| 846 | C2×C42 | — | 53 | 1 | no | — |
| 847 | C2×C42 | — | 53 | 1 | no | — |
| 848 | C2×C42 | — | 53 | 1 | no | — |
| 849 | C2×C42 | — | 53 | 1 | no | — |
| 850 | C2×C42 | — | 53 | 1 | no | — |
| 851 | C2×C42 | — | 53 | 1 | no | — |
| 852 | C2×C42 | — | 53 | 1 | no | — |
| 853 | C2×C42 | — | 53 | 1 | no | — |
| 854 | C2×C42 | — | 53 | 1 | no | — |
| 855 | C2×C42 | — | 53 | 1 | no | — |
| 856 | C2×C42 | — | 53 | 1 | no | — |
| 857 | C2×C42 | — | 53 | 1 | no | — |
| 858 | C2×C42 | — | 53 | 1 | no | — |
| 859 | C2×C42 | — | 53 | 1 | no | — |
| 860 | C2×C42 | — | 53 | 1 | no | — |
| 861 | C2×C42 | — | 53 | 1 | no | — |
| 862 | C2×C42 | — | 53 | 1 | no | — |
| 863 | C2×C42 | C22×D53 | 1 | 1 | yes | characteristic |
| 864 | #95 | — | 53 | 1 | no | — |
| 865 | #95 | — | 53 | 1 | no | — |
| 866 | #95 | — | 53 | 1 | no | — |
| 867 | #95 | — | 53 | 1 | no | — |
| 868 | #95 | — | 53 | 1 | no | — |
| 869 | #95 | — | 53 | 1 | no | — |
| 870 | #95 | — | 53 | 1 | no | — |
| 871 | #95 | — | 53 | 1 | no | — |
| 872 | #95 | — | 53 | 1 | no | — |
| 873 | #95 | — | 53 | 1 | no | — |
| 874 | #95 | — | 53 | 1 | no | — |
| 875 | #95 | — | 53 | 1 | no | — |
| 876 | #95 | — | 53 | 1 | no | — |
| 877 | #95 | — | 53 | 1 | no | — |
| 878 | #95 | — | 53 | 1 | no | — |
| 879 | #95 | — | 53 | 1 | no | — |
| 880 | #95 | — | 53 | 1 | no | — |
| 881 | #95 | — | 53 | 1 | no | — |
| 882 | #95 | — | 53 | 1 | no | — |
| 883 | #95 | — | 53 | 1 | no | — |
| 884 | #95 | — | 53 | 1 | no | — |
| 885 | #95 | — | 53 | 1 | no | — |
| 886 | #95 | — | 53 | 1 | no | — |
| 887 | #95 | — | 53 | 1 | no | — |
| 888 | #95 | — | 53 | 1 | no | — |
| 889 | #95 | — | 53 | 1 | no | — |
| 890 | #95 | — | 53 | 1 | no | — |
| 891 | #95 | — | 53 | 1 | no | — |
| 892 | #95 | — | 53 | 1 | no | — |
| 893 | #95 | — | 53 | 1 | no | — |
| 894 | #95 | — | 53 | 1 | no | — |
| 895 | #95 | — | 53 | 1 | no | — |
| 896 | #95 | — | 53 | 1 | no | — |
| 897 | #95 | — | 53 | 1 | no | — |
| 898 | #95 | — | 53 | 1 | no | — |
| 899 | #95 | — | 53 | 1 | no | — |
| 900 | #95 | — | 53 | 1 | no | — |
| 901 | #95 | — | 53 | 1 | no | — |
| 902 | #95 | — | 53 | 1 | no | — |
| 903 | #95 | — | 53 | 1 | no | — |
| 904 | #95 | — | 53 | 1 | no | — |
| 905 | #95 | — | 53 | 1 | no | — |
| 906 | #95 | — | 53 | 1 | no | — |
| 907 | #95 | — | 53 | 1 | no | — |
| 908 | #95 | — | 53 | 1 | no | — |
| 909 | #95 | — | 53 | 1 | no | — |
| 910 | #95 | — | 53 | 1 | no | — |
| 911 | #95 | — | 53 | 1 | no | — |
| 912 | #95 | — | 53 | 1 | no | — |
| 913 | #95 | — | 53 | 1 | no | — |
| 914 | #95 | — | 53 | 1 | no | — |
| 915 | #95 | — | 53 | 1 | no | — |
| 916 | #95 | — | 53 | 1 | no | — |
| 917 | #95 | — | 53 | 1 | no | — |
| 918 | #95 | — | 53 | 1 | no | — |
| 919 | #95 | — | 53 | 1 | no | — |
| 920 | #95 | C22×D53 | 1 | 1 | yes | characteristic |
| 921 | #95 | C22×D53 | 1 | 1 | yes | characteristic |
| 922 | #95 | C22×D53 | 1 | 1 | yes | characteristic |
| 923 | #95 | C22×D53 | 1 | 1 | yes | characteristic |
| 924 | #95 | C22×D53 | 1 | 1 | yes | characteristic |
| 925 | #95 | C22×D53 | 1 | 1 | yes | characteristic |
| 926 | #95 | C22×D53 | 1 | 1 | yes | characteristic |
| 927 | #95 | C22×D53 | 1 | 1 | yes | characteristic |
| 928 | #95 | C22×D53 | 1 | 1 | yes | characteristic |
| 929 | #95 | C22×D53 | 1 | 1 | yes | characteristic |
| 930 | #95 | C22×D53 | 1 | 1 | yes | characteristic |
| 931 | #95 | C22×D53 | 1 | 1 | yes | characteristic |
| 932 | #95 | C22×D53 | 1 | 1 | yes | characteristic |
| 933 | #95 | C22×D53 | 1 | 1 | yes | characteristic |
| 934 | #95 | C22×D53 | 1 | 1 | yes | characteristic |
| 935 | #95 | C22×D53 | 1 | 1 | yes | characteristic |
| 936 | #95 | C22×D53 | 1 | 1 | yes | characteristic |
| 937 | #95 | C22×D53 | 1 | 1 | yes | characteristic |
| 938 | #95 | C22×D53 | 1 | 1 | yes | characteristic |
| 939 | #95 | C22×D53 | 1 | 1 | yes | characteristic |
| 940 | C22×C4 | — | 53 | 1 | no | — |
| 941 | C22×C4 | — | 53 | 1 | no | — |
| 942 | C22×C4 | — | 53 | 1 | no | — |
| 943 | C22×C4 | — | 53 | 1 | no | — |
| 944 | C22×C4 | — | 53 | 1 | no | — |
| 945 | C22×C4 | — | 53 | 1 | no | — |
| 946 | C22×C4 | — | 53 | 1 | no | — |
| 947 | C22×C4 | — | 53 | 1 | no | — |
| 948 | C22×C4 | — | 53 | 1 | no | — |
| 949 | C22×C4 | — | 53 | 1 | no | — |
| 950 | C22×C4 | — | 53 | 1 | no | — |
| 951 | C22×C4 | — | 53 | 1 | no | — |
| 952 | C22×C4 | — | 53 | 1 | no | — |
| 953 | C22×C4 | — | 53 | 1 | no | — |
| 954 | C22×C4 | — | 53 | 1 | no | — |
| 955 | C22×C4 | — | 53 | 1 | no | — |
| 956 | C22×C4 | C23×D53 | 1 | 1 | yes | characteristic |
| 957 | C22×C4 | C23×D53 | 1 | 1 | yes | characteristic |
| 958 | C22×C4 | C23×D53 | 1 | 1 | yes | characteristic |
| 959 | C22×C4 | C23×D53 | 1 | 1 | yes | characteristic |
| 960 | C22×C4 | C23×D53 | 1 | 1 | yes | characteristic |
| 961 | C22×C4 | C23×D53 | 1 | 1 | yes | characteristic |
| 962 | C22×C4 | C23×D53 | 1 | 1 | yes | characteristic |
| 963 | C22×C4 | C23×D53 | 1 | 1 | yes | characteristic |
| 964 | C22×C4 | C23×D53 | 1 | 1 | yes | characteristic |
| 965 | C22×C4 | C23×D53 | 1 | 1 | yes | characteristic |
| 966 | C22×C4 | C23×D53 | 1 | 1 | yes | characteristic |
| 967 | C22×C4 | C23×D53 | 1 | 1 | yes | characteristic |
| 968 | C22×C4 | C23×D53 | 1 | 1 | yes | characteristic |
| 969 | C22×C4 | C23×D53 | 1 | 1 | yes | characteristic |
| 970 | C22×C4 | C23×D53 | 1 | 1 | yes | characteristic |
| 971 | C4⋊C4 | — | 2 | 2 | no | — |
| 972 | C4⋊C4 | — | 2 | 2 | no | — |
| 973 | C4⋊C4 | — | 2 | 2 | no | — |
| 974 | C4⋊C4 | — | 4 | 1 | no | — |
| 975 | C4⋊C4 | — | 4 | 1 | no | — |
| 976 | C4⋊C4 | — | 4 | 1 | no | — |
| 977 | C4⋊C4 | — | 4 | 1 | no | — |
| 978 | C4⋊C4 | — | 4 | 1 | no | — |
| 979 | C4⋊C4 | — | 4 | 1 | no | — |
| 980 | C4⋊C4 | — | 4 | 1 | no | — |
| 981 | C4⋊C4 | — | 4 | 1 | no | — |
| 982 | C4⋊C4 | — | 4 | 1 | no | — |
| 983 | C4⋊C4 | — | 4 | 1 | no | — |
| 984 | C4⋊C4 | — | 4 | 1 | no | — |
| 985 | C4⋊C4 | — | 106 | 2 | no | — |
| 986 | C4⋊C4 | — | 106 | 2 | no | — |
| 987 | C4⋊C4 | — | 106 | 2 | no | — |
| 988 | C4⋊C4 | — | 106 | 2 | no | — |
| 989 | C4⋊C4 | — | 106 | 2 | no | — |
| 990 | C4⋊C4 | — | 106 | 2 | no | — |
| 991 | C4⋊C4 | — | 106 | 2 | no | — |
| 992 | C4⋊C4 | — | 106 | 2 | no | — |
| 993 | C4⋊C4 | — | 106 | 2 | no | — |
| 994 | C4⋊C4 | — | 106 | 2 | no | — |
| 995 | C4⋊C4 | — | 106 | 2 | no | — |
| 996 | C4⋊C4 | — | 106 | 2 | no | — |
| 997 | C4⋊C4 | — | 106 | 2 | no | — |
| 998 | C4⋊C4 | — | 106 | 2 | no | — |
| 999 | C4⋊C4 | — | 106 | 2 | no | — |
| 1000 | C4⋊C4 | — | 212 | 1 | no | — |
| 1001 | C4⋊C4 | — | 212 | 1 | no | — |
| 1002 | C4⋊C4 | — | 212 | 1 | no | — |
| 1003 | C4⋊C4 | — | 212 | 1 | no | — |
| 1004 | C4⋊C4 | — | 212 | 1 | no | — |
| 1005 | C4⋊C4 | — | 212 | 1 | no | — |
| 1006 | C4⋊C4 | — | 212 | 1 | no | — |
| 1007 | C4⋊C4 | — | 212 | 1 | no | — |
| 1008 | C4⋊C4 | — | 212 | 1 | no | — |
| 1009 | C4⋊C4 | — | 212 | 1 | no | — |
| 1010 | C4⋊C4 | — | 212 | 1 | no | — |
| 1011 | C4⋊C4 | — | 212 | 1 | no | — |
| 1012 | C4⋊C4 | — | 212 | 1 | no | — |
| 1013 | C4⋊C4 | — | 212 | 1 | no | — |
| 1014 | C4⋊C4 | — | 212 | 1 | no | — |
| 1015 | C4⋊C4 | — | 212 | 1 | no | — |
| 1016 | C4⋊C4 | — | 212 | 1 | no | — |
| 1017 | C4⋊C4 | — | 212 | 1 | no | — |
| 1018 | C4⋊C4 | — | 212 | 1 | no | — |
| 1019 | C4⋊C4 | — | 212 | 1 | no | — |
| 1020 | C4⋊C4 | — | 212 | 1 | no | — |
| 1021 | C4⋊C4 | — | 212 | 1 | no | — |
| 1022 | C4⋊C4 | — | 212 | 1 | no | — |
| 1023 | C4⋊C4 | — | 212 | 1 | no | — |
| 1024 | C4⋊C4 | — | 212 | 1 | no | — |
| 1025 | C4⋊C4 | — | 212 | 1 | no | — |
| 1026 | C4⋊C4 | — | 212 | 1 | no | — |
| 1027 | C4⋊C4 | — | 212 | 1 | no | — |
| 1028 | C4⋊C4 | — | 212 | 1 | no | — |
| 1029 | C4⋊C4 | — | 212 | 1 | no | — |
| 1030 | C4⋊C4 | — | 212 | 1 | no | — |
| 1031 | C42 | — | 4 | 1 | no | — |
| 1032 | C42 | — | 53 | 4 | no | — |
| 1033 | C42 | — | 106 | 2 | no | — |
| 1034 | C42 | — | 106 | 2 | no | — |
| 1035 | C42 | — | 106 | 2 | no | — |
| 1036 | C42 | — | 106 | 2 | no | — |
| 1037 | C42 | — | 106 | 2 | no | — |
| 1038 | C42 | — | 106 | 2 | no | — |
| 1039 | C42 | — | 106 | 2 | no | — |
| 1040 | C42 | — | 106 | 2 | no | — |
| 1041 | C42 | — | 106 | 2 | no | — |
| 1042 | C42 | — | 106 | 2 | no | — |
| 1043 | C42 | — | 106 | 2 | no | — |
| 1044 | C42 | — | 106 | 2 | no | — |
| 1045 | C42 | — | 106 | 2 | no | — |
| 1046 | C42 | — | 106 | 2 | no | — |
| 1047 | C42 | — | 106 | 2 | no | — |
| 1048 | C42 | — | 212 | 1 | no | — |
| 1049 | C42 | — | 212 | 1 | no | — |
| 1050 | C23 | C24×D53 | 1 | 1 | yes | characteristic |
| 1051 | C2×C4 | — | 2 | 1 | no | — |
| 1052 | C2×C4 | — | 2 | 1 | no | — |
| 1053 | C2×C4 | — | 2 | 1 | no | — |
| 1054 | C2×C4 | — | 2 | 1 | no | — |
| 1055 | C2×C4 | — | 2 | 1 | no | — |
| 1056 | C2×C4 | — | 2 | 1 | no | — |
| 1057 | C2×C4 | — | 2 | 1 | no | — |
| 1058 | C2×C4 | — | 2 | 1 | no | — |
| 1059 | C2×C4 | — | 2 | 1 | no | — |
| 1060 | C2×C4 | — | 2 | 1 | no | — |
| 1061 | C2×C4 | — | 2 | 1 | no | — |
| 1062 | C2×C4 | — | 2 | 1 | no | — |
| 1063 | C2×C4 | — | 2 | 1 | no | — |
| 1064 | C2×C4 | — | 2 | 1 | no | — |
| 1065 | C2×C4 | — | 2 | 1 | no | — |
| 1066 | C2×C4 | — | 2 | 1 | no | — |
| 1067 | C2×C4 | — | 2 | 1 | no | — |
| 1068 | C2×C4 | — | 2 | 1 | no | — |
| 1069 | C2×C4 | — | 2 | 1 | no | — |
| 1070 | C2×C4 | — | 2 | 1 | no | — |
| 1071 | C2×C4 | — | 2 | 1 | no | — |
| 1072 | C2×C4 | — | 2 | 1 | no | — |
| 1073 | C2×C4 | — | 2 | 1 | no | — |
| 1074 | C2×C4 | — | 2 | 1 | no | — |
| 1075 | C2×C4 | — | 2 | 1 | no | — |
| 1076 | C2×C4 | — | 2 | 1 | no | — |
| 1077 | C2×C4 | — | 2 | 1 | no | — |
| 1078 | C2×C4 | — | 2 | 1 | no | — |
| 1079 | C2×C4 | — | 2 | 1 | no | — |
| 1080 | C2×C4 | — | 2 | 1 | no | — |
| 1081 | C2×C4 | — | 2 | 1 | no | — |
| 1082 | C2×C4 | — | 2 | 1 | no | — |
| 1083 | C2×C4 | — | 2 | 1 | no | — |
| 1084 | C2×C4 | — | 2 | 1 | no | — |
| 1085 | C2×C4 | — | 2 | 1 | no | — |
| 1086 | C2×C4 | — | 2 | 1 | no | — |
| 1087 | C2×C4 | — | 2 | 1 | no | — |
| 1088 | C2×C4 | — | 2 | 1 | no | — |
| 1089 | C2×C4 | — | 2 | 1 | no | — |
| 1090 | C2×C4 | — | 2 | 1 | no | — |
| 1091 | C2×C4 | — | 2 | 1 | no | — |
| 1092 | C2×C4 | — | 2 | 1 | no | — |
| 1093 | C2×C4 | — | 2 | 1 | no | — |
| 1094 | C2×C4 | — | 2 | 1 | no | — |
| 1095 | C2×C4 | — | 53 | 2 | no | — |
| 1096 | C2×C4 | — | 53 | 2 | no | — |
| 1097 | C2×C4 | — | 53 | 2 | no | — |
| 1098 | C2×C4 | — | 53 | 2 | no | — |
| 1099 | C2×C4 | — | 53 | 2 | no | — |
| 1100 | C2×C4 | — | 106 | 1 | no | — |
| 1101 | C2×C4 | — | 106 | 1 | no | — |
| 1102 | C2×C4 | — | 106 | 1 | no | — |
| 1103 | C2×C4 | — | 106 | 1 | no | — |
| 1104 | C2×C4 | — | 106 | 1 | no | — |
| 1105 | C2×C4 | — | 106 | 1 | no | — |
| 1106 | C2×C4 | — | 106 | 1 | no | — |
| 1107 | C2×C4 | — | 106 | 1 | no | — |
| 1108 | C2×C4 | — | 106 | 1 | no | — |
| 1109 | C2×C4 | — | 106 | 1 | no | — |
| 1110 | C2×C4 | — | 106 | 1 | no | — |
| 1111 | C2×C4 | — | 106 | 1 | no | — |
| 1112 | C2×C4 | — | 106 | 1 | no | — |
| 1113 | C2×C4 | — | 106 | 1 | no | — |
| 1114 | C2×C4 | — | 106 | 1 | no | — |
| 1115 | C2×C4 | — | 106 | 1 | no | — |
| 1116 | C2×C4 | — | 106 | 1 | no | — |
| 1117 | C2×C4 | — | 106 | 1 | no | — |
| 1118 | C2×C4 | — | 106 | 1 | no | — |
| 1119 | C2×C4 | — | 106 | 1 | no | — |
| 1120 | C2×C4 | — | 106 | 1 | no | — |
| 1121 | C2×C4 | — | 106 | 1 | no | — |
| 1122 | C2×C4 | — | 106 | 1 | no | — |
| 1123 | C2×C4 | — | 106 | 1 | no | — |
| 1124 | C2×C4 | — | 106 | 1 | no | — |
| 1125 | C2×C4 | — | 106 | 1 | no | — |
| 1126 | C2×C4 | — | 106 | 1 | no | — |
| 1127 | C2×C4 | — | 106 | 1 | no | — |
| 1128 | C2×C4 | — | 106 | 1 | no | — |
| 1129 | C2×C4 | — | 106 | 1 | no | — |
| 1130 | C2×C4 | — | 106 | 1 | no | — |
| 1131 | C2×C4 | — | 106 | 1 | no | — |
| 1132 | C2×C4 | — | 106 | 1 | no | — |
| 1133 | C2×C4 | — | 106 | 1 | no | — |
| 1134 | C2×C4 | — | 106 | 1 | no | — |
| 1135 | C2×C4 | — | 106 | 1 | no | — |
| 1136 | C2×C4 | — | 106 | 1 | no | — |
| 1137 | C2×C4 | — | 106 | 1 | no | — |
| 1138 | C2×C4 | — | 106 | 1 | no | — |
| 1139 | C2×C4 | — | 106 | 1 | no | — |
| 1140 | C2×C4 | — | 106 | 1 | no | — |
| 1141 | C2×C4 | — | 106 | 1 | no | — |
| 1142 | C2×C4 | — | 106 | 1 | no | — |
| 1143 | C2×C4 | #41×D53 | 1 | 2 | yes | — |
| 1144 | C22 | C2×#41×D53 | 1 | 1 | yes | characteristic |
| 1145 | C22 | 2−1+4×D53 | 1 | 1 | yes | characteristic |
| 1146 | C22 | 2−1+4×D53 | 1 | 1 | yes | characteristic |
| 1147 | C22 | 2−1+4×D53 | 1 | 1 | yes | characteristic |
| 1148 | C22 | #16811458 | 1 | 1 | yes | characteristic |
| 1149 | C22 | #16811458 | 1 | 1 | yes | characteristic |
| 1150 | C22 | #16811460 | 1 | 1 | yes | characteristic |
| 1151 | C4 | — | 2 | 2 | no | — |
| 1152 | C4 | — | 4 | 1 | no | — |
| 1153 | C4 | — | 4 | 1 | no | — |
| 1154 | C4 | — | 4 | 1 | no | — |
| 1155 | C4 | — | 4 | 1 | no | — |
| 1156 | C4 | — | 4 | 1 | no | — |
| 1157 | C4 | — | 4 | 1 | no | — |
| 1158 | C4 | — | 4 | 1 | no | — |
| 1159 | C4 | — | 4 | 1 | no | — |
| 1160 | C4 | — | 4 | 1 | no | — |
| 1161 | C4 | — | 4 | 1 | no | — |
| 1162 | C4 | — | 4 | 1 | no | — |
| 1163 | C4 | — | 4 | 1 | no | — |
| 1164 | C4 | — | 4 | 1 | no | — |
| 1165 | C4 | — | 4 | 1 | no | — |
| 1166 | C4 | — | 53 | 4 | no | — |
| 1167 | C4 | — | 106 | 2 | no | — |
| 1168 | C4 | — | 106 | 2 | no | — |
| 1169 | C4 | — | 212 | 1 | no | — |
| 1170 | C4 | — | 212 | 1 | no | — |
| 1171 | C4 | — | 212 | 1 | no | — |
| 1172 | C4 | — | 212 | 1 | no | — |
| 1173 | C4 | — | 212 | 1 | no | — |
| 1174 | C4 | — | 212 | 1 | no | — |
| 1175 | C4 | — | 212 | 1 | no | — |
| 1176 | C4 | — | 212 | 1 | no | — |
| 1177 | C4 | — | 212 | 1 | no | — |
| 1178 | C4 | — | 212 | 1 | no | — |
| 1179 | C4 | — | 212 | 1 | no | — |
| 1180 | C4 | — | 212 | 1 | no | — |
| 1181 | C4 | — | 212 | 1 | no | — |
| 1182 | C2 | #20288141 | 1 | 1 | yes | characteristic |
| 1183 | C2 | #20288145 | 1 | 1 | yes | characteristic |
| 1184 | C2 | #20288147 | 1 | 1 | yes | characteristic |
| 1185 | C2 | #564×D53 | 1 | 1 | yes | characteristic |
| 1186 | C2 | #20288859 | 1 | 1 | yes | characteristic |
| 1187 | C2 | #20288861 | 1 | 1 | yes | characteristic |
| 1188 | C2 | #20288861 | 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