| 1 | #20285288 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #20283867 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #20283863 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #20273593 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #20273590 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #20273575 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #20273570 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #20273566 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #20273546 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #20273543 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #20273472 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #20273179 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #20273179 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #20273006 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C53×#1584 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #16811160 | C22 | 1 | 1 | yes | characteristic |
| 17 | #16811160 | C22 | 1 | 1 | yes | characteristic |
| 18 | #16811024 | C4 | 1 | 1 | yes | characteristic |
| 19 | #16811008 | C4 | 1 | 1 | yes | characteristic |
| 20 | #16810979 | C4 | 1 | 1 | yes | characteristic |
| 21 | #16810979 | C4 | 1 | 1 | yes | characteristic |
| 22 | #16810861 | C4 | 1 | 1 | yes | characteristic |
| 23 | #16810860 | C4 | 1 | 1 | yes | characteristic |
| 24 | #16810855 | C4 | 1 | 1 | yes | characteristic |
| 25 | #16810855 | C4 | 1 | 1 | yes | characteristic |
| 26 | #16810754 | C22 | 1 | 1 | yes | characteristic |
| 27 | Q8×#88322 | C22 | 1 | 1 | yes | characteristic |
| 28 | C4×#11719924 | C22 | 1 | 1 | yes | characteristic |
| 29 | C4×#11719924 | C22 | 1 | 1 | yes | characteristic |
| 30 | C4×D424 | C22 | 1 | 1 | yes | characteristic |
| 31 | #16810702 | — | 2 | 1 | no | — |
| 32 | #16810702 | C22 | 1 | 1 | yes | characteristic |
| 33 | #16810700 | — | 2 | 1 | no | — |
| 34 | #16810700 | C22 | 1 | 1 | yes | characteristic |
| 35 | #16810696 | — | 2 | 1 | no | — |
| 36 | #16810693 | — | 2 | 1 | no | — |
| 37 | C8×D212 | C22 | 1 | 1 | yes | characteristic |
| 38 | #16810688 | C22 | 1 | 1 | yes | characteristic |
| 39 | #16810685 | — | 2 | 1 | no | — |
| 40 | #16810682 | — | 2 | 1 | no | — |
| 41 | #16810674 | C22 | 1 | 1 | yes | characteristic |
| 42 | #16810674 | C22 | 1 | 1 | yes | characteristic |
| 43 | #16810648 | — | 2 | 1 | no | — |
| 44 | #16810648 | — | 2 | 1 | no | — |
| 45 | #16810645 | C22 | 1 | 1 | yes | characteristic |
| 46 | #16810645 | C22 | 1 | 1 | yes | characteristic |
| 47 | C4×C8×D53 | C22 | 1 | 1 | yes | characteristic |
| 48 | #16810376 | C22 | 1 | 1 | yes | characteristic |
| 49 | #16810375 | C22 | 1 | 1 | yes | characteristic |
| 50 | #16810375 | C22 | 1 | 1 | yes | characteristic |
| 51 | Q8⋊#88322 | C22 | 1 | 1 | yes | characteristic |
| 52 | Q8⋊#88322 | C22 | 1 | 1 | yes | characteristic |
| 53 | #16810352 | C22 | 1 | 1 | yes | characteristic |
| 54 | #16810352 | C22 | 1 | 1 | yes | characteristic |
| 55 | #16810350 | C22 | 1 | 1 | yes | characteristic |
| 56 | #16810350 | C22 | 1 | 1 | yes | characteristic |
| 57 | #16810345 | C22 | 1 | 1 | yes | characteristic |
| 58 | #16810345 | C22 | 1 | 1 | yes | characteristic |
| 59 | #16810344 | C22 | 1 | 1 | yes | characteristic |
| 60 | C53×#446 | C22 | 1 | 1 | yes | characteristic |
| 61 | C8×Q8×C53 | C22 | 1 | 1 | yes | characteristic |
| 62 | C4×Q16×C53 | C22 | 1 | 1 | yes | characteristic |
| 63 | C53×#335 | C22 | 1 | 1 | yes | characteristic |
| 64 | C53×Q8⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 65 | C53×Q8⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 66 | C53×#322 | C22 | 1 | 1 | yes | characteristic |
| 67 | C2×#11719924 | C2×C4 | 1 | 1 | yes | characteristic |
| 68 | C2×#11719924 | C2×C4 | 1 | 1 | yes | characteristic |
| 69 | C2×D424 | C2×C4 | 1 | 1 | yes | characteristic |
| 70 | C2×#11719912 | — | 2 | 1 | no | — |
| 71 | C2×#11719912 | — | 2 | 1 | no | — |
| 72 | C2×#11719912 | — | 2 | 1 | no | — |
| 73 | C2×#11719912 | — | 2 | 1 | no | — |
| 74 | C2×C8×D53 | — | 2 | 1 | no | — |
| 75 | C2×C8×D53 | — | 2 | 1 | no | — |
| 76 | C2×C8×D53 | C2×C4 | 1 | 1 | yes | characteristic |
| 77 | C2×C8×D53 | C2×C4 | 1 | 1 | yes | characteristic |
| 78 | #13133212 | — | 2 | 1 | no | — |
| 79 | #13133212 | — | 2 | 1 | no | — |
| 80 | #13133208 | C2×C4 | 1 | 1 | yes | characteristic |
| 81 | #13133208 | C2×C4 | 1 | 1 | yes | characteristic |
| 82 | #13133206 | C2×C4 | 1 | 1 | yes | characteristic |
| 83 | #13133206 | C2×C4 | 1 | 1 | yes | characteristic |
| 84 | #13133202 | — | 2 | 1 | no | — |
| 85 | #13133202 | — | 2 | 1 | no | — |
| 86 | #13133193 | C2×C4 | 1 | 1 | yes | characteristic |
| 87 | #13133193 | C2×C4 | 1 | 1 | yes | characteristic |
| 88 | #13133192 | C2×C4 | 1 | 1 | yes | characteristic |
| 89 | #13133192 | C2×C4 | 1 | 1 | yes | characteristic |
| 90 | C4×D212 | — | 2 | 1 | no | — |
| 91 | C4×D212 | — | 2 | 1 | no | — |
| 92 | C4×D212 | C23 | 1 | 1 | yes | characteristic |
| 93 | C4×D212 | C23 | 1 | 1 | yes | characteristic |
| 94 | #13133174 | — | 2 | 1 | no | — |
| 95 | #13133174 | — | 2 | 1 | no | — |
| 96 | C42×D53 | C23 | 1 | 1 | yes | characteristic |
| 97 | #13133151 | C2×C4 | 1 | 1 | yes | characteristic |
| 98 | #13133148 | C2×C4 | 1 | 1 | yes | characteristic |
| 99 | #13133148 | C2×C4 | 1 | 1 | yes | characteristic |
| 100 | C4⋊#88322 | — | 2 | 1 | no | — |
| 101 | C4⋊#88322 | — | 2 | 1 | no | — |
| 102 | C4⋊#88322 | C23 | 1 | 1 | yes | characteristic |
| 103 | C4⋊#88322 | C23 | 1 | 1 | yes | characteristic |
| 104 | #13133146 | — | 2 | 1 | no | — |
| 105 | #13133146 | — | 2 | 1 | no | — |
| 106 | #13133146 | — | 2 | 1 | no | — |
| 107 | #13133146 | D4 | 1 | 1 | yes | characteristic |
| 108 | #13133146 | D4 | 1 | 1 | yes | characteristic |
| 109 | #13133141 | C2×C4 | 1 | 1 | yes | characteristic |
| 110 | #13133141 | C2×C4 | 1 | 1 | yes | characteristic |
| 111 | #13133139 | C2×C4 | 1 | 1 | yes | characteristic |
| 112 | #13133139 | C2×C4 | 1 | 1 | yes | characteristic |
| 113 | #13133137 | C2×C4 | 1 | 1 | yes | characteristic |
| 114 | #13133137 | C2×C4 | 1 | 1 | yes | characteristic |
| 115 | #13133129 | — | 2 | 1 | no | — |
| 116 | #13133129 | — | 2 | 1 | no | — |
| 117 | #13133129 | — | 2 | 1 | no | — |
| 118 | #13133129 | — | 2 | 1 | no | — |
| 119 | #13133129 | — | 2 | 1 | no | — |
| 120 | #13133129 | D4 | 1 | 1 | yes | characteristic |
| 121 | #13133129 | D4 | 1 | 1 | yes | characteristic |
| 122 | #13133128 | — | 2 | 1 | no | — |
| 123 | C4×#88322 | — | 2 | 1 | no | — |
| 124 | C4×#88322 | C23 | 1 | 1 | yes | characteristic |
| 125 | C4×#88322 | C23 | 1 | 1 | yes | characteristic |
| 126 | C4×#88322 | C23 | 1 | 1 | yes | characteristic |
| 127 | C8×Dic53 | C2×C4 | 1 | 1 | yes | characteristic |
| 128 | C8×Dic53 | C2×C4 | 1 | 1 | yes | characteristic |
| 129 | C2×Q16×C53 | C2×C4 | 1 | 1 | yes | characteristic |
| 130 | C4×Q8×C53 | C23 | 1 | 1 | yes | characteristic |
| 131 | C4×Q8×C53 | C23 | 1 | 1 | yes | characteristic |
| 132 | #107×C53 | C2×C4 | 1 | 1 | yes | characteristic |
| 133 | C4⋊C8×C53 | — | 2 | 1 | no | — |
| 134 | C4⋊C8×C53 | — | 2 | 1 | no | — |
| 135 | C4⋊C8×C53 | C23 | 1 | 1 | yes | characteristic |
| 136 | C4⋊C8×C53 | C23 | 1 | 1 | yes | characteristic |
| 137 | #103×C53 | C2×C4 | 1 | 1 | yes | characteristic |
| 138 | #103×C53 | C2×C4 | 1 | 1 | yes | characteristic |
| 139 | #97×C53 | — | 2 | 1 | no | — |
| 140 | C4×C8×C53 | — | 2 | 1 | no | — |
| 141 | C4×C8×C53 | C23 | 1 | 1 | yes | characteristic |
| 142 | C4×C8×C53 | C23 | 1 | 1 | yes | characteristic |
| 143 | C4×C8×C53 | C23 | 1 | 1 | yes | characteristic |
| 144 | C2×Q8×C53 | C22×C4 | 1 | 1 | yes | characteristic |
| 145 | C2×Q8×C53 | C22×C4 | 1 | 1 | yes | characteristic |
| 146 | C2×D212 | — | 2 | 1 | no | — |
| 147 | C2×D212 | — | 2 | 1 | no | — |
| 148 | C2×D212 | C22×C4 | 1 | 1 | yes | characteristic |
| 149 | C2×D212 | C22×C4 | 1 | 1 | yes | characteristic |
| 150 | C2×C4×D53 | — | 2 | 1 | no | — |
| 151 | C2×C4×D53 | — | 2 | 1 | no | — |
| 152 | C2×C4×D53 | C22×C4 | 1 | 1 | yes | characteristic |
| 153 | C2×C4×D53 | C2×D4 | 1 | 1 | yes | characteristic |
| 154 | C2×C4×D53 | #41 | 1 | 1 | yes | characteristic |
| 155 | Q16×C53 | — | 4 | 1 | no | — |
| 156 | C2×C8×C53 | — | 2 | 1 | no | — |
| 157 | C2×C8×C53 | — | 2 | 1 | no | — |
| 158 | C2×C8×C53 | — | 2 | 1 | no | — |
| 159 | C2×C8×C53 | C22×C4 | 1 | 1 | yes | characteristic |
| 160 | C2×C8×C53 | C22×C4 | 1 | 1 | yes | characteristic |
| 161 | C2×C8×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 162 | C2×C8×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 163 | C4⋊C4×C53 | — | 2 | 1 | no | — |
| 164 | C4⋊C4×C53 | — | 2 | 1 | no | — |
| 165 | C4⋊C4×C53 | C22×C4 | 1 | 1 | yes | characteristic |
| 166 | C4⋊C4×C53 | C22×C4 | 1 | 1 | yes | characteristic |
| 167 | C42×C53 | — | 2 | 1 | no | — |
| 168 | C42×C53 | — | 2 | 1 | no | — |
| 169 | C42×C53 | C24 | 1 | 1 | yes | characteristic |
| 170 | #11719924 | — | 4 | 1 | no | — |
| 171 | #11719924 | — | 4 | 1 | no | — |
| 172 | #11719921 | — | 2 | 1 | no | — |
| 173 | #11719921 | — | 2 | 1 | no | — |
| 174 | #11719921 | — | 2 | 1 | no | — |
| 175 | #11719921 | — | 2 | 1 | no | — |
| 176 | #11719921 | — | 2 | 1 | no | — |
| 177 | #11719921 | — | 2 | 1 | no | — |
| 178 | #11719921 | — | 2 | 1 | no | — |
| 179 | #11719921 | — | 2 | 1 | no | — |
| 180 | #11719921 | — | 2 | 1 | no | — |
| 181 | #11719921 | — | 2 | 1 | no | — |
| 182 | C4⋊Dic53 | — | 2 | 1 | no | — |
| 183 | C4⋊Dic53 | — | 2 | 1 | no | — |
| 184 | C4⋊Dic53 | C22×C4 | 1 | 1 | yes | characteristic |
| 185 | C4⋊Dic53 | C22×C4 | 1 | 1 | yes | characteristic |
| 186 | #11719919 | — | 2 | 1 | no | — |
| 187 | #11719919 | — | 2 | 1 | no | — |
| 188 | #11719919 | — | 2 | 1 | no | — |
| 189 | #11719919 | — | 2 | 1 | no | — |
| 190 | C4×Dic53 | C22×C4 | 1 | 1 | yes | characteristic |
| 191 | C4×Dic53 | C2×D4 | 1 | 1 | yes | characteristic |
| 192 | C4×Dic53 | #41 | 1 | 1 | yes | characteristic |
| 193 | C2×#88322 | — | 2 | 1 | no | — |
| 194 | C2×#88322 | — | 2 | 1 | no | — |
| 195 | C2×#88322 | — | 2 | 1 | no | — |
| 196 | C2×#88322 | C22×C4 | 1 | 1 | yes | characteristic |
| 197 | C2×#88322 | C22×C4 | 1 | 1 | yes | characteristic |
| 198 | C2×#88322 | C2×D4 | 1 | 1 | yes | characteristic |
| 199 | C2×#88322 | C2×D4 | 1 | 1 | yes | characteristic |
| 200 | D424 | — | 4 | 1 | no | — |
| 201 | #11719912 | — | 8 | 1 | no | — |
| 202 | #11719912 | — | 8 | 1 | no | — |
| 203 | #11719912 | — | 8 | 1 | no | — |
| 204 | #11719912 | — | 8 | 1 | no | — |
| 205 | C8×D53 | — | 4 | 1 | no | — |
| 206 | C8×D53 | — | 4 | 1 | no | — |
| 207 | C8×D53 | — | 8 | 1 | no | — |
| 208 | C8×D53 | — | 8 | 1 | no | — |
| 209 | C22×D53 | — | 2 | 1 | no | — |
| 210 | C22×D53 | — | 2 | 1 | no | — |
| 211 | C22×D53 | C4×D4 | 1 | 1 | yes | characteristic |
| 212 | Q8×C53 | — | 2 | 1 | no | — |
| 213 | Q8×C53 | — | 2 | 1 | no | — |
| 214 | Q8×C53 | — | 2 | 1 | no | — |
| 215 | Q8×C53 | — | 2 | 1 | no | — |
| 216 | C2×C4×C53 | — | 2 | 1 | no | — |
| 217 | C2×C4×C53 | — | 2 | 1 | no | — |
| 218 | C2×C4×C53 | — | 2 | 1 | no | — |
| 219 | C2×C4×C53 | — | 2 | 1 | no | — |
| 220 | C2×C4×C53 | C23×C4 | 1 | 1 | yes | characteristic |
| 221 | C2×C4×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 222 | C2×C4×C53 | C2×#41 | 1 | 1 | yes | characteristic |
| 223 | C2×Dic53 | — | 2 | 1 | no | — |
| 224 | C2×Dic53 | — | 2 | 1 | no | — |
| 225 | C2×Dic53 | C4×D4 | 1 | 1 | yes | characteristic |
| 226 | C2×Dic53 | C4×D4 | 1 | 1 | yes | characteristic |
| 227 | C2×Dic53 | C4×D4 | 1 | 1 | yes | characteristic |
| 228 | D212 | — | 2 | 1 | no | — |
| 229 | D212 | — | 2 | 1 | no | — |
| 230 | D212 | — | 2 | 1 | no | — |
| 231 | D212 | — | 2 | 1 | no | — |
| 232 | D212 | — | 8 | 1 | no | — |
| 233 | D212 | — | 8 | 1 | no | — |
| 234 | C4×D53 | — | 2 | 1 | no | — |
| 235 | C4×D53 | — | 2 | 1 | no | — |
| 236 | C4×D53 | — | 2 | 1 | no | — |
| 237 | C4×D53 | — | 2 | 1 | no | — |
| 238 | C4×D53 | — | 4 | 1 | no | — |
| 239 | C4×D53 | — | 4 | 1 | no | — |
| 240 | C4×D53 | — | 4 | 1 | no | — |
| 241 | C4×D53 | — | 4 | 1 | no | — |
| 242 | C4×D53 | — | 4 | 1 | no | — |
| 243 | C8×C53 | — | 2 | 1 | no | — |
| 244 | C8×C53 | — | 2 | 1 | no | — |
| 245 | C8×C53 | — | 2 | 1 | no | — |
| 246 | C8×C53 | — | 2 | 1 | no | — |
| 247 | C8×C53 | — | 4 | 1 | no | — |
| 248 | C8×C53 | — | 4 | 1 | no | — |
| 249 | C8×C53 | — | 4 | 1 | no | — |
| 250 | #88322 | — | 2 | 1 | no | — |
| 251 | #88322 | — | 2 | 1 | no | — |
| 252 | #88322 | — | 2 | 1 | no | — |
| 253 | #88322 | — | 2 | 1 | no | — |
| 254 | #88322 | — | 4 | 1 | no | — |
| 255 | #88322 | — | 4 | 1 | no | — |
| 256 | #88322 | — | 4 | 1 | no | — |
| 257 | #17992 | — | 53 | 1 | no | maximal, Sylow |
| 258 | C22×C53 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 259 | C2×D53 | — | 2 | 1 | no | — |
| 260 | C2×D53 | — | 2 | 1 | no | — |
| 261 | C2×D53 | — | 2 | 1 | no | — |
| 262 | C2×D53 | — | 4 | 1 | no | — |
| 263 | C2×D53 | — | 4 | 1 | no | — |
| 264 | C2×D53 | — | 4 | 1 | no | — |
| 265 | C2×D53 | — | 4 | 1 | no | — |
| 266 | C2×D53 | — | 4 | 1 | no | — |
| 267 | C2×D53 | — | 4 | 1 | no | — |
| 268 | C4×C53 | — | 2 | 1 | no | — |
| 269 | C4×C53 | — | 4 | 1 | no | — |
| 270 | C4×C53 | — | 4 | 1 | no | — |
| 271 | C4×C53 | — | 4 | 1 | no | — |
| 272 | C4×C53 | — | 4 | 1 | no | — |
| 273 | C4×C53 | #568 | 1 | 1 | yes | characteristic |
| 274 | C4×C53 | #568 | 1 | 1 | yes | characteristic |
| 275 | C4×C53 | #576 | 1 | 1 | yes | characteristic |
| 276 | C4×C53 | #578 | 1 | 1 | yes | characteristic |
| 277 | Dic53 | — | 2 | 1 | no | — |
| 278 | Dic53 | — | 2 | 1 | no | — |
| 279 | Dic53 | — | 2 | 1 | no | — |
| 280 | Dic53 | — | 4 | 1 | no | — |
| 281 | Dic53 | — | 4 | 1 | no | — |
| 282 | #3168 | — | 53 | 1 | no | — |
| 283 | #2993 | — | 53 | 1 | no | — |
| 284 | #2993 | — | 53 | 1 | no | — |
| 285 | #1588 | — | 53 | 1 | no | — |
| 286 | #1588 | — | 53 | 1 | no | — |
| 287 | #1585 | — | 53 | 1 | no | — |
| 288 | #1585 | — | 53 | 1 | no | — |
| 289 | #1584 | — | 53 | 1 | no | — |
| 290 | #1584 | D53 | 1 | 1 | yes | characteristic, complemented |
| 291 | #1581 | — | 53 | 1 | no | — |
| 292 | #1581 | — | 53 | 1 | no | — |
| 293 | #1567 | — | 53 | 1 | no | — |
| 294 | #1495 | — | 53 | 1 | no | — |
| 295 | #1495 | — | 53 | 1 | no | — |
| 296 | #1452 | — | 53 | 1 | no | — |
| 297 | C2×C53 | #2932 | 1 | 1 | yes | characteristic |
| 298 | C2×C53 | #2951 | 1 | 1 | yes | characteristic |
| 299 | C2×C53 | #2957 | 1 | 1 | yes | characteristic |
| 300 | D53 | — | 4 | 1 | no | — |
| 301 | D53 | — | 8 | 1 | no | — |
| 302 | D53 | — | 8 | 1 | no | — |
| 303 | #529 | — | 53 | 1 | no | — |
| 304 | #529 | — | 53 | 1 | no | — |
| 305 | #499 | — | 53 | 1 | no | — |
| 306 | #495 | — | 53 | 1 | no | — |
| 307 | #488 | — | 53 | 1 | no | — |
| 308 | #488 | — | 53 | 1 | no | — |
| 309 | #467 | — | 53 | 1 | no | — |
| 310 | #466 | — | 53 | 1 | no | — |
| 311 | #465 | — | 53 | 1 | no | — |
| 312 | #465 | — | 53 | 1 | no | — |
| 313 | #446 | — | 53 | 1 | no | — |
| 314 | #446 | C2×D53 | 1 | 1 | yes | characteristic |
| 315 | C8×Q8 | — | 53 | 1 | no | — |
| 316 | C8×Q8 | C2×D53 | 1 | 1 | yes | characteristic |
| 317 | C4×Q16 | C2×D53 | 1 | 1 | yes | characteristic |
| 318 | C4×SD16 | — | 53 | 1 | no | — |
| 319 | C4×SD16 | — | 53 | 1 | no | — |
| 320 | C4×D8 | — | 53 | 1 | no | — |
| 321 | #436 | — | 53 | 1 | no | — |
| 322 | #436 | — | 53 | 1 | no | — |
| 323 | #436 | — | 106 | 1 | no | — |
| 324 | #436 | — | 106 | 1 | no | — |
| 325 | #435 | — | 106 | 1 | no | — |
| 326 | #435 | — | 106 | 1 | no | — |
| 327 | C8×D4 | — | 53 | 1 | no | — |
| 328 | C8×D4 | — | 53 | 1 | no | — |
| 329 | #433 | — | 106 | 1 | no | — |
| 330 | #433 | — | 106 | 1 | no | — |
| 331 | #431 | — | 53 | 1 | no | — |
| 332 | #431 | — | 53 | 1 | no | — |
| 333 | #424 | — | 106 | 1 | no | — |
| 334 | #424 | — | 106 | 1 | no | — |
| 335 | #423 | — | 53 | 1 | no | — |
| 336 | #423 | — | 53 | 1 | no | — |
| 337 | C2×C4×C8 | — | 53 | 1 | no | — |
| 338 | #335 | — | 53 | 1 | no | — |
| 339 | #335 | — | 53 | 1 | no | — |
| 340 | #335 | — | 53 | 1 | no | — |
| 341 | #335 | C2×D53 | 1 | 1 | yes | characteristic |
| 342 | Q8⋊C8 | — | 53 | 1 | no | — |
| 343 | Q8⋊C8 | — | 53 | 1 | no | — |
| 344 | Q8⋊C8 | C2×D53 | 1 | 1 | yes | characteristic |
| 345 | Q8⋊C8 | C2×D53 | 1 | 1 | yes | characteristic |
| 346 | D4⋊C8 | — | 53 | 1 | no | — |
| 347 | D4⋊C8 | — | 53 | 1 | no | — |
| 348 | D4⋊C8 | — | 53 | 1 | no | — |
| 349 | D4⋊C8 | — | 53 | 1 | no | — |
| 350 | #322 | — | 53 | 1 | no | — |
| 351 | #322 | — | 53 | 1 | no | — |
| 352 | #322 | — | 53 | 1 | no | — |
| 353 | #322 | C2×D53 | 1 | 1 | yes | characteristic |
| 354 | C53 | #17992 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 355 | C2×Q16 | C4×D53 | 1 | 1 | yes | characteristic |
| 356 | C2×SD16 | — | 53 | 1 | no | — |
| 357 | C2×SD16 | — | 53 | 1 | no | — |
| 358 | C2×D8 | — | 53 | 1 | no | — |
| 359 | C2×M16 | — | 106 | 1 | no | — |
| 360 | C2×M16 | — | 106 | 1 | no | — |
| 361 | C2×M16 | — | 106 | 1 | no | — |
| 362 | C2×M16 | — | 106 | 1 | no | — |
| 363 | C22×C8 | — | 53 | 1 | no | — |
| 364 | C22×C8 | — | 53 | 1 | no | — |
| 365 | C22×C8 | — | 106 | 1 | no | — |
| 366 | C22×C8 | — | 106 | 1 | no | — |
| 367 | #126 | — | 106 | 1 | no | — |
| 368 | #126 | — | 106 | 1 | no | — |
| 369 | #125 | — | 53 | 1 | no | — |
| 370 | #125 | — | 53 | 1 | no | — |
| 371 | #124 | — | 53 | 1 | no | — |
| 372 | #124 | — | 53 | 1 | no | — |
| 373 | #123 | — | 106 | 1 | no | — |
| 374 | #123 | — | 106 | 1 | no | — |
| 375 | C22⋊Q8 | — | 53 | 1 | no | — |
| 376 | C22⋊Q8 | — | 53 | 1 | no | — |
| 377 | #121 | — | 53 | 1 | no | — |
| 378 | #121 | — | 53 | 1 | no | — |
| 379 | C4×Q8 | C22×D53 | 1 | 1 | yes | characteristic |
| 380 | C4×Q8 | C22×D53 | 1 | 1 | yes | characteristic |
| 381 | C4×D4 | — | 53 | 1 | no | — |
| 382 | C4×D4 | — | 53 | 1 | no | — |
| 383 | C4×D4 | — | 106 | 1 | no | — |
| 384 | C4×D4 | — | 106 | 1 | no | — |
| 385 | #117 | — | 106 | 1 | no | — |
| 386 | #117 | — | 106 | 1 | no | — |
| 387 | C2×C42 | — | 53 | 1 | no | — |
| 388 | #107 | — | 53 | 1 | no | — |
| 389 | #107 | C4×D53 | 1 | 1 | yes | characteristic |
| 390 | #106 | — | 53 | 1 | no | — |
| 391 | #106 | — | 53 | 1 | no | — |
| 392 | C4⋊C8 | — | 2 | 1 | no | — |
| 393 | C4⋊C8 | — | 2 | 1 | no | — |
| 394 | C4⋊C8 | — | 53 | 1 | no | — |
| 395 | C4⋊C8 | — | 53 | 1 | no | — |
| 396 | C4⋊C8 | — | 53 | 1 | no | — |
| 397 | C4⋊C8 | — | 53 | 1 | no | — |
| 398 | C4⋊C8 | — | 106 | 1 | no | — |
| 399 | C4⋊C8 | — | 106 | 1 | no | — |
| 400 | C4⋊C8 | — | 106 | 1 | no | — |
| 401 | C4⋊C8 | — | 106 | 1 | no | — |
| 402 | C4⋊C8 | — | 106 | 1 | no | — |
| 403 | C4⋊C8 | C22×D53 | 1 | 1 | yes | characteristic |
| 404 | C4⋊C8 | C22×D53 | 1 | 1 | yes | characteristic |
| 405 | #103 | — | 53 | 1 | no | — |
| 406 | #103 | — | 53 | 1 | no | — |
| 407 | #103 | C4×D53 | 1 | 1 | yes | characteristic |
| 408 | #103 | C4×D53 | 1 | 1 | yes | characteristic |
| 409 | #102 | — | 53 | 1 | no | — |
| 410 | #102 | — | 53 | 1 | no | — |
| 411 | #102 | — | 53 | 1 | no | — |
| 412 | #102 | — | 53 | 1 | no | — |
| 413 | C22⋊C8 | — | 53 | 1 | no | — |
| 414 | C22⋊C8 | — | 53 | 1 | no | — |
| 415 | C22⋊C8 | — | 106 | 1 | no | — |
| 416 | C22⋊C8 | — | 106 | 1 | no | — |
| 417 | C22⋊C8 | — | 106 | 1 | no | — |
| 418 | C22⋊C8 | — | 106 | 1 | no | — |
| 419 | C22⋊C8 | — | 106 | 1 | no | — |
| 420 | #97 | — | 2 | 1 | no | — |
| 421 | #97 | — | 106 | 1 | no | — |
| 422 | C4×C8 | — | 2 | 1 | no | — |
| 423 | C4×C8 | — | 53 | 1 | no | — |
| 424 | C4×C8 | — | 53 | 1 | no | — |
| 425 | C4×C8 | — | 53 | 1 | no | — |
| 426 | C4×C8 | — | 53 | 1 | no | — |
| 427 | C4×C8 | — | 53 | 1 | no | — |
| 428 | C4×C8 | — | 106 | 1 | no | — |
| 429 | C4×C8 | C22×D53 | 1 | 1 | yes | characteristic |
| 430 | C4×C8 | C22×D53 | 1 | 1 | yes | characteristic |
| 431 | C4×C8 | C22×D53 | 1 | 1 | yes | characteristic |
| 432 | C2×Q8 | C2×C4×D53 | 1 | 1 | yes | characteristic |
| 433 | C2×Q8 | C2×C4×D53 | 1 | 1 | yes | characteristic |
| 434 | C2×D4 | — | 53 | 1 | no | — |
| 435 | C2×D4 | — | 53 | 1 | no | — |
| 436 | C2×D4 | — | 106 | 1 | no | — |
| 437 | C2×D4 | — | 106 | 1 | no | — |
| 438 | C22×C4 | — | 53 | 1 | no | — |
| 439 | C22×C4 | — | 53 | 1 | no | — |
| 440 | C22×C4 | — | 53 | 1 | no | — |
| 441 | C22×C4 | — | 106 | 1 | no | — |
| 442 | C22×C4 | — | 106 | 1 | no | — |
| 443 | Q16 | — | 4 | 1 | no | — |
| 444 | SD16 | — | 212 | 1 | no | — |
| 445 | SD16 | — | 212 | 1 | no | — |
| 446 | D8 | — | 212 | 1 | no | — |
| 447 | M16 | — | 424 | 1 | no | — |
| 448 | M16 | — | 424 | 1 | no | — |
| 449 | M16 | — | 424 | 1 | no | — |
| 450 | M16 | — | 424 | 1 | no | — |
| 451 | C2×C8 | — | 2 | 1 | no | — |
| 452 | C2×C8 | — | 2 | 1 | no | — |
| 453 | C2×C8 | — | 2 | 1 | no | — |
| 454 | C2×C8 | — | 53 | 1 | no | — |
| 455 | C2×C8 | — | 53 | 1 | no | — |
| 456 | C2×C8 | — | 53 | 1 | no | — |
| 457 | C2×C8 | — | 53 | 1 | no | — |
| 458 | C2×C8 | — | 106 | 1 | no | — |
| 459 | C2×C8 | — | 106 | 1 | no | — |
| 460 | C2×C8 | — | 106 | 1 | no | — |
| 461 | C2×C8 | — | 424 | 1 | no | — |
| 462 | C2×C8 | — | 424 | 1 | no | — |
| 463 | C2×C8 | — | 212 | 1 | no | — |
| 464 | C2×C8 | — | 212 | 1 | no | — |
| 465 | C2×C8 | C2×C4×D53 | 1 | 1 | yes | characteristic |
| 466 | C2×C8 | C2×C4×D53 | 1 | 1 | yes | characteristic |
| 467 | C2×C8 | D4×D53 | 1 | 1 | yes | characteristic |
| 468 | C2×C8 | D4×D53 | 1 | 1 | yes | characteristic |
| 469 | C4⋊C4 | — | 2 | 1 | no | — |
| 470 | C4⋊C4 | — | 2 | 1 | no | — |
| 471 | C4⋊C4 | — | 53 | 1 | no | — |
| 472 | C4⋊C4 | — | 53 | 1 | no | — |
| 473 | C4⋊C4 | — | 106 | 1 | no | — |
| 474 | C4⋊C4 | — | 106 | 1 | no | — |
| 475 | C4⋊C4 | — | 106 | 1 | no | — |
| 476 | C4⋊C4 | — | 106 | 1 | no | — |
| 477 | C4⋊C4 | — | 106 | 1 | no | — |
| 478 | C4⋊C4 | — | 106 | 1 | no | — |
| 479 | C4⋊C4 | C2×C4×D53 | 1 | 1 | yes | characteristic |
| 480 | C4⋊C4 | C2×C4×D53 | 1 | 1 | yes | characteristic |
| 481 | C22⋊C4 | — | 106 | 1 | no | — |
| 482 | C22⋊C4 | — | 106 | 1 | no | — |
| 483 | C22⋊C4 | — | 106 | 1 | no | — |
| 484 | C22⋊C4 | — | 106 | 1 | no | — |
| 485 | C22⋊C4 | — | 106 | 1 | no | — |
| 486 | C22⋊C4 | — | 106 | 1 | no | — |
| 487 | C22⋊C4 | — | 106 | 1 | no | — |
| 488 | C22⋊C4 | — | 106 | 1 | no | — |
| 489 | C22⋊C4 | — | 106 | 1 | no | — |
| 490 | C22⋊C4 | — | 106 | 1 | no | — |
| 491 | C42 | — | 2 | 1 | no | — |
| 492 | C42 | — | 2 | 1 | no | — |
| 493 | C42 | — | 53 | 1 | no | — |
| 494 | C42 | — | 53 | 1 | no | — |
| 495 | C42 | — | 53 | 1 | no | — |
| 496 | C42 | C23×D53 | 1 | 1 | yes | characteristic |
| 497 | C23 | — | 53 | 1 | no | — |
| 498 | C23 | — | 106 | 1 | no | — |
| 499 | C23 | — | 106 | 1 | no | — |
| 500 | Q8 | — | 2 | 1 | no | — |
| 501 | Q8 | — | 2 | 1 | no | — |
| 502 | Q8 | — | 2 | 1 | no | — |
| 503 | Q8 | — | 2 | 1 | no | — |
| 504 | D4 | — | 106 | 1 | no | — |
| 505 | D4 | — | 106 | 1 | no | — |
| 506 | D4 | — | 106 | 1 | no | — |
| 507 | D4 | — | 106 | 1 | no | — |
| 508 | D4 | — | 424 | 1 | no | — |
| 509 | D4 | — | 424 | 1 | no | — |
| 510 | C2×C4 | — | 2 | 1 | no | — |
| 511 | C2×C4 | — | 2 | 1 | no | — |
| 512 | C2×C4 | — | 2 | 1 | no | — |
| 513 | C2×C4 | — | 2 | 1 | no | — |
| 514 | C2×C4 | — | 53 | 1 | no | — |
| 515 | C2×C4 | — | 53 | 1 | no | — |
| 516 | C2×C4 | — | 53 | 1 | no | — |
| 517 | C2×C4 | — | 106 | 1 | no | — |
| 518 | C2×C4 | — | 106 | 1 | no | — |
| 519 | C2×C4 | — | 106 | 1 | no | — |
| 520 | C2×C4 | — | 106 | 1 | no | — |
| 521 | C2×C4 | — | 106 | 1 | no | — |
| 522 | C2×C4 | — | 106 | 1 | no | — |
| 523 | C2×C4 | — | 212 | 1 | no | — |
| 524 | C2×C4 | — | 212 | 1 | no | — |
| 525 | C2×C4 | — | 212 | 1 | no | — |
| 526 | C2×C4 | — | 212 | 1 | no | — |
| 527 | C2×C4 | — | 212 | 1 | no | — |
| 528 | C2×C4 | C22×C4×D53 | 1 | 1 | yes | characteristic |
| 529 | C2×C4 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 530 | C2×C4 | #41×D53 | 1 | 1 | yes | characteristic |
| 531 | C8 | — | 2 | 1 | no | — |
| 532 | C8 | — | 2 | 1 | no | — |
| 533 | C8 | — | 2 | 1 | no | — |
| 534 | C8 | — | 2 | 1 | no | — |
| 535 | C8 | — | 4 | 1 | no | — |
| 536 | C8 | — | 4 | 1 | no | — |
| 537 | C8 | — | 4 | 1 | no | — |
| 538 | C8 | — | 106 | 1 | no | — |
| 539 | C8 | — | 106 | 1 | no | — |
| 540 | C8 | — | 106 | 1 | no | — |
| 541 | C8 | — | 106 | 1 | no | — |
| 542 | C8 | — | 212 | 1 | no | — |
| 543 | C8 | — | 212 | 1 | no | — |
| 544 | C8 | — | 212 | 1 | no | — |
| 545 | C22 | — | 106 | 1 | no | — |
| 546 | C22 | — | 106 | 1 | no | — |
| 547 | C22 | — | 106 | 1 | no | — |
| 548 | C22 | — | 212 | 1 | no | — |
| 549 | C22 | — | 212 | 1 | no | — |
| 550 | C22 | — | 212 | 1 | no | — |
| 551 | C22 | — | 212 | 1 | no | — |
| 552 | C22 | — | 212 | 1 | no | — |
| 553 | C22 | — | 212 | 1 | no | — |
| 554 | C22 | C4×D4×D53 | 1 | 1 | yes | characteristic |
| 555 | C4 | — | 2 | 1 | no | — |
| 556 | C4 | — | 4 | 1 | no | — |
| 557 | C4 | — | 4 | 1 | no | — |
| 558 | C4 | — | 4 | 1 | no | — |
| 559 | C4 | — | 4 | 1 | no | — |
| 560 | C4 | — | 106 | 1 | no | — |
| 561 | C4 | — | 106 | 1 | no | — |
| 562 | C4 | — | 106 | 1 | no | — |
| 563 | C4 | — | 212 | 1 | no | — |
| 564 | C4 | — | 212 | 1 | no | — |
| 565 | C4 | #16811388 | 1 | 1 | yes | characteristic |
| 566 | C4 | #16811389 | 1 | 1 | yes | characteristic |
| 567 | C4 | #16811425 | 1 | 1 | yes | characteristic |
| 568 | C4 | #16811436 | 1 | 1 | yes | characteristic |
| 569 | C2 | — | 424 | 1 | no | — |
| 570 | C2 | — | 424 | 1 | no | — |
| 571 | C2 | — | 212 | 1 | no | — |
| 572 | C2 | #20283429 | 1 | 1 | yes | characteristic |
| 573 | C2 | #20283590 | 1 | 1 | yes | characteristic |
| 574 | C2 | #20283629 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta