| 1 | #20287866 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #20287862 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #20286520 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #20276987 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #20276843 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #20276838 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #20276796 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #20276781 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #20276693 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #20276691 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #20276686 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #20276677 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #20276599 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #20276557 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C53×#3290 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #16811440 | C22 | 1 | 1 | yes | characteristic |
| 17 | #16811440 | C22 | 1 | 1 | yes | characteristic, complemented |
| 18 | #16811437 | — | 2 | 1 | no | — |
| 19 | #16811064 | — | 2 | 1 | no | — |
| 20 | #16811064 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | #16811063 | — | 2 | 1 | no | — |
| 22 | #16811063 | — | 2 | 1 | no | — |
| 23 | #16811063 | C22 | 1 | 1 | yes | characteristic |
| 24 | #16811063 | C22 | 1 | 1 | yes | characteristic |
| 25 | #16811059 | — | 2 | 1 | no | — |
| 26 | #16811059 | C22 | 1 | 1 | yes | characteristic |
| 27 | #16811053 | — | 2 | 1 | no | — |
| 28 | #16811053 | — | 2 | 1 | no | — |
| 29 | #16811053 | C22 | 1 | 1 | yes | characteristic |
| 30 | C2×#13133163 | — | 2 | 1 | no | — |
| 31 | C2×#13133163 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | C2×#13133163 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | C2×#13133161 | — | 2 | 1 | no | — |
| 34 | C2×#13133161 | C22 | 1 | 1 | yes | characteristic |
| 35 | C2×#13133161 | C22 | 1 | 1 | yes | characteristic |
| 36 | #16811040 | C22 | 1 | 1 | yes | characteristic |
| 37 | #16811040 | C22 | 1 | 1 | yes | characteristic, complemented |
| 38 | #16811003 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | #16810899 | — | 2 | 1 | no | — |
| 40 | #16810898 | C22 | 1 | 1 | yes | characteristic |
| 41 | #16810898 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | #16810807 | — | 2 | 1 | no | — |
| 43 | #16810807 | — | 2 | 1 | no | — |
| 44 | #16810741 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | #16810452 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | #16810444 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | #16810439 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | #16810438 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | #16810438 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | #16810436 | C22 | 1 | 1 | yes | characteristic |
| 51 | #16810430 | C22 | 1 | 1 | yes | characteristic |
| 52 | #16810429 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | #16810407 | C22 | 1 | 1 | yes | characteristic |
| 54 | #16810407 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | #16810399 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | C53×#578 | C22 | 1 | 1 | yes | characteristic |
| 57 | C53×#577 | — | 2 | 1 | no | — |
| 58 | C53×#576 | C22 | 1 | 1 | yes | characteristic |
| 59 | C53×#495 | C22 | 1 | 1 | yes | characteristic |
| 60 | C53×#473 | C22 | 1 | 1 | yes | characteristic |
| 61 | C53×#472 | C22 | 1 | 1 | yes | characteristic |
| 62 | C53×#471 | — | 2 | 1 | no | — |
| 63 | C53×#455 | — | 2 | 1 | no | — |
| 64 | C53×#454 | — | 2 | 1 | no | — |
| 65 | C53×#443 | C22 | 1 | 1 | yes | characteristic |
| 66 | C53×#443 | C22 | 1 | 1 | yes | characteristic |
| 67 | #13133264 | — | 2 | 1 | no | — |
| 68 | #13133264 | — | 2 | 1 | no | — |
| 69 | #13133250 | — | 2 | 1 | no | — |
| 70 | #13133250 | — | 2 | 1 | no | — |
| 71 | #13133250 | — | 4 | 1 | no | — |
| 72 | #13133250 | — | 4 | 1 | no | — |
| 73 | #13133247 | — | 2 | 1 | no | — |
| 74 | #13133247 | — | 2 | 1 | no | — |
| 75 | #13133246 | — | 4 | 1 | no | — |
| 76 | #13133246 | — | 4 | 1 | no | — |
| 77 | #13133239 | — | 2 | 1 | no | — |
| 78 | #13133239 | — | 2 | 1 | no | — |
| 79 | #13133239 | C23 | 1 | 1 | yes | characteristic |
| 80 | #13133236 | — | 4 | 1 | no | — |
| 81 | C2×Dic212 | — | 2 | 1 | no | — |
| 82 | C2×Dic212 | — | 2 | 1 | no | — |
| 83 | C2×Dic212 | — | 2 | 1 | no | — |
| 84 | C2×Dic212 | C23 | 1 | 1 | yes | characteristic |
| 85 | C2×Dic212 | C23 | 1 | 1 | yes | characteristic |
| 86 | Q16×D53 | — | 4 | 1 | no | — |
| 87 | #13133223 | — | 2 | 1 | no | — |
| 88 | #13133217 | — | 2 | 1 | no | — |
| 89 | #13133163 | — | 2 | 1 | no | — |
| 90 | #13133163 | — | 2 | 1 | no | — |
| 91 | #13133163 | — | 2 | 1 | no | — |
| 92 | #13133163 | — | 2 | 1 | no | — |
| 93 | #13133163 | — | 2 | 1 | no | — |
| 94 | #13133163 | — | 4 | 1 | no | — |
| 95 | #13133163 | D4 | 1 | 1 | yes | characteristic |
| 96 | #13133161 | — | 2 | 1 | no | — |
| 97 | #13133161 | — | 2 | 1 | no | — |
| 98 | #13133161 | — | 2 | 1 | no | — |
| 99 | #13133161 | — | 2 | 1 | no | — |
| 100 | #13133161 | — | 2 | 1 | no | — |
| 101 | #13133161 | — | 4 | 1 | no | — |
| 102 | #13133161 | D4 | 1 | 1 | yes | characteristic |
| 103 | #13133160 | — | 2 | 1 | no | — |
| 104 | #13133160 | D4 | 1 | 1 | yes | characteristic |
| 105 | #13133158 | — | 2 | 1 | no | — |
| 106 | #13133158 | D4 | 1 | 1 | yes | characteristic |
| 107 | #13133157 | — | 2 | 1 | no | — |
| 108 | #13133157 | — | 2 | 1 | no | — |
| 109 | #13133157 | C23 | 1 | 1 | yes | characteristic |
| 110 | #13133157 | C23 | 1 | 1 | yes | characteristic |
| 111 | C2×#11719908 | — | 2 | 1 | no | — |
| 112 | C2×#11719908 | — | 2 | 1 | no | — |
| 113 | C2×#11719908 | C23 | 1 | 1 | yes | characteristic |
| 114 | C2×#11719908 | C23 | 1 | 1 | yes | characteristic |
| 115 | #13133153 | C23 | 1 | 1 | yes | characteristic |
| 116 | #13133145 | — | 2 | 1 | no | — |
| 117 | #13133135 | — | 2 | 1 | no | — |
| 118 | #13133135 | — | 2 | 1 | no | — |
| 119 | 2−1+4×C53 | — | 2 | 1 | no | — |
| 120 | H(5,𝔽2)×C53 | — | 2 | 1 | no | — |
| 121 | #137×C53 | — | 2 | 1 | no | — |
| 122 | #137×C53 | — | 2 | 1 | no | — |
| 123 | #137×C53 | — | 4 | 1 | no | — |
| 124 | #137×C53 | — | 4 | 1 | no | — |
| 125 | AGL(1,ℤ/8)×C53 | — | 2 | 1 | no | — |
| 126 | AGL(1,ℤ/8)×C53 | — | 2 | 1 | no | — |
| 127 | AGL(1,ℤ/8)×C53 | — | 4 | 1 | no | — |
| 128 | AGL(1,ℤ/8)×C53 | — | 4 | 1 | no | — |
| 129 | #135×C53 | — | 2 | 1 | no | — |
| 130 | #135×C53 | — | 2 | 1 | no | — |
| 131 | #135×C53 | — | 4 | 1 | no | — |
| 132 | #135×C53 | D4 | 1 | 1 | yes | characteristic |
| 133 | #135×C53 | C23 | 1 | 1 | yes | characteristic |
| 134 | C2×Q16×C53 | — | 2 | 1 | no | — |
| 135 | C2×Q16×C53 | C23 | 1 | 1 | yes | characteristic |
| 136 | C2×SD16×C53 | — | 2 | 1 | no | — |
| 137 | C2×SD16×C53 | — | 4 | 1 | no | — |
| 138 | C2×D8×C53 | — | 2 | 1 | no | — |
| 139 | C2×D8×C53 | C23 | 1 | 1 | yes | characteristic |
| 140 | #131×C53 | — | 2 | 1 | no | — |
| 141 | #131×C53 | C23 | 1 | 1 | yes | characteristic |
| 142 | #131×C53 | C23 | 1 | 1 | yes | characteristic |
| 143 | #124×C53 | — | 2 | 1 | no | — |
| 144 | #108×C53 | D4 | 1 | 1 | yes | characteristic |
| 145 | #108×C53 | C23 | 1 | 1 | yes | characteristic |
| 146 | #104×C53 | — | 2 | 1 | no | — |
| 147 | #104×C53 | D4 | 1 | 1 | yes | characteristic |
| 148 | #104×C53 | D4 | 1 | 1 | yes | characteristic |
| 149 | #101×C53 | — | 2 | 1 | no | — |
| 150 | #100×C53 | — | 2 | 1 | no | — |
| 151 | C4×C8×C53 | C23 | 1 | 1 | yes | characteristic |
| 152 | #41×C53 | — | 2 | 1 | no | — |
| 153 | #41×C53 | — | 4 | 1 | no | — |
| 154 | #41×C53 | — | 4 | 1 | no | — |
| 155 | #41×C53 | — | 4 | 1 | no | — |
| 156 | #41×C53 | — | 4 | 1 | no | — |
| 157 | #41×C53 | — | 8 | 1 | no | — |
| 158 | #41×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 159 | #41×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 160 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 161 | C2×Q8×C53 | — | 4 | 1 | no | — |
| 162 | C2×Q8×C53 | — | 4 | 1 | no | — |
| 163 | C2×D4×C53 | — | 2 | 1 | no | — |
| 164 | C2×D4×C53 | — | 4 | 1 | no | — |
| 165 | C2×D4×C53 | — | 4 | 1 | no | — |
| 166 | C2×D4×C53 | — | 8 | 1 | no | — |
| 167 | Q8×D53 | — | 4 | 1 | no | — |
| 168 | Q8×D53 | — | 4 | 1 | no | — |
| 169 | #11719947 | — | 4 | 1 | no | — |
| 170 | #11719947 | — | 4 | 1 | no | — |
| 171 | #11719947 | — | 8 | 1 | no | — |
| 172 | #11719947 | — | 8 | 1 | no | — |
| 173 | #11719945 | — | 2 | 1 | no | — |
| 174 | #11719945 | — | 4 | 1 | no | — |
| 175 | #11719945 | — | 4 | 1 | no | — |
| 176 | C2×Dic106 | — | 2 | 1 | no | — |
| 177 | C2×Dic106 | — | 2 | 1 | no | — |
| 178 | C2×Dic106 | — | 4 | 1 | no | — |
| 179 | C2×Dic106 | — | 4 | 1 | no | — |
| 180 | Q16×C53 | — | 2 | 1 | no | — |
| 181 | Q16×C53 | — | 2 | 1 | no | — |
| 182 | Q16×C53 | — | 4 | 1 | no | — |
| 183 | Q16×C53 | — | 4 | 1 | no | — |
| 184 | Q16×C53 | D8 | 1 | 1 | yes | characteristic |
| 185 | Q16×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 186 | SD16×C53 | — | 2 | 1 | no | — |
| 187 | SD16×C53 | — | 4 | 1 | no | — |
| 188 | SD16×C53 | — | 4 | 1 | no | — |
| 189 | SD16×C53 | — | 4 | 1 | no | — |
| 190 | SD16×C53 | — | 4 | 1 | no | — |
| 191 | SD16×C53 | — | 4 | 1 | no | — |
| 192 | SD16×C53 | — | 4 | 1 | no | — |
| 193 | SD16×C53 | D8 | 1 | 1 | yes | characteristic |
| 194 | SD16×C53 | D8 | 1 | 1 | yes | characteristic |
| 195 | D8×C53 | — | 2 | 1 | no | — |
| 196 | D8×C53 | — | 2 | 1 | no | — |
| 197 | D8×C53 | — | 4 | 1 | no | — |
| 198 | D8×C53 | — | 4 | 1 | no | — |
| 199 | D8×C53 | D8 | 1 | 1 | yes | characteristic |
| 200 | D8×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 201 | M16×C53 | — | 2 | 1 | no | — |
| 202 | M16×C53 | — | 2 | 1 | no | — |
| 203 | M16×C53 | — | 2 | 1 | no | — |
| 204 | M16×C53 | — | 4 | 1 | no | — |
| 205 | M16×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 206 | M16×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 207 | C2×C8×C53 | — | 2 | 1 | no | — |
| 208 | C2×C8×C53 | — | 2 | 1 | no | — |
| 209 | C2×C8×C53 | — | 4 | 1 | no | — |
| 210 | C2×C8×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 211 | C2×C8×C53 | C24 | 1 | 1 | yes | characteristic |
| 212 | C22⋊C4×C53 | — | 8 | 1 | no | — |
| 213 | C42×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 214 | #11719925 | — | 4 | 1 | no | — |
| 215 | #11719925 | — | 4 | 1 | no | — |
| 216 | #11719923 | — | 4 | 1 | no | — |
| 217 | #11719923 | — | 4 | 1 | no | — |
| 218 | C4⋊Dic53 | — | 8 | 1 | no | — |
| 219 | #11719917 | — | 2 | 1 | no | — |
| 220 | Dic212 | — | 2 | 1 | no | — |
| 221 | Dic212 | — | 2 | 1 | no | — |
| 222 | Dic212 | — | 2 | 1 | no | — |
| 223 | Dic212 | — | 2 | 1 | no | — |
| 224 | Dic212 | — | 4 | 1 | no | — |
| 225 | Dic212 | — | 4 | 1 | no | — |
| 226 | Dic212 | — | 4 | 1 | no | — |
| 227 | Dic212 | — | 4 | 1 | no | — |
| 228 | Dic212 | C2×D4 | 1 | 1 | yes | characteristic |
| 229 | D424 | C2×D4 | 1 | 1 | yes | characteristic |
| 230 | #11719913 | — | 2 | 1 | no | — |
| 231 | #11719913 | — | 4 | 1 | no | — |
| 232 | #11719913 | — | 4 | 1 | no | — |
| 233 | #11719912 | — | 4 | 1 | no | — |
| 234 | C8×D53 | — | 4 | 1 | no | — |
| 235 | #11719908 | — | 2 | 1 | no | — |
| 236 | #11719908 | — | 2 | 1 | no | — |
| 237 | #11719908 | — | 2 | 1 | no | — |
| 238 | #11719908 | C2×D4 | 1 | 1 | yes | characteristic |
| 239 | #11719908 | C2×D4 | 1 | 1 | yes | characteristic |
| 240 | C23×C53 | — | 4 | 1 | no | — |
| 241 | C23×C53 | — | 8 | 1 | no | — |
| 242 | Q8×C53 | — | 2 | 1 | no | — |
| 243 | Q8×C53 | — | 4 | 1 | no | — |
| 244 | Q8×C53 | — | 4 | 1 | no | — |
| 245 | Q8×C53 | — | 8 | 1 | no | — |
| 246 | Q8×C53 | C2×D8 | 1 | 1 | yes | characteristic |
| 247 | Q8×C53 | C2×D8 | 1 | 1 | yes | characteristic |
| 248 | D4×C53 | — | 2 | 1 | no | — |
| 249 | D4×C53 | — | 2 | 1 | no | — |
| 250 | D4×C53 | — | 2 | 1 | no | — |
| 251 | D4×C53 | — | 4 | 1 | no | — |
| 252 | D4×C53 | — | 4 | 1 | no | — |
| 253 | D4×C53 | — | 4 | 1 | no | — |
| 254 | D4×C53 | — | 8 | 1 | no | — |
| 255 | D4×C53 | — | 8 | 1 | no | — |
| 256 | D4×C53 | — | 8 | 1 | no | — |
| 257 | D4×C53 | C2×D8 | 1 | 1 | yes | characteristic |
| 258 | D4×C53 | C2×D8 | 1 | 1 | yes | characteristic |
| 259 | C2×C4×C53 | — | 2 | 1 | no | — |
| 260 | C2×C4×C53 | — | 2 | 1 | no | — |
| 261 | C2×C4×C53 | — | 2 | 1 | no | — |
| 262 | C2×C4×C53 | — | 4 | 1 | no | — |
| 263 | C2×C4×C53 | — | 4 | 1 | no | — |
| 264 | C2×C4×C53 | — | 8 | 1 | no | — |
| 265 | C2×C4×C53 | — | 8 | 1 | no | — |
| 266 | C2×C4×C53 | — | 8 | 1 | no | — |
| 267 | C2×C4×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 268 | C22⋊D53 | — | 4 | 1 | no | — |
| 269 | C22⋊D53 | — | 8 | 1 | no | — |
| 270 | C22⋊D53 | — | 8 | 1 | no | — |
| 271 | C2×Dic53 | — | 4 | 1 | no | — |
| 272 | C2×Dic53 | — | 4 | 1 | no | — |
| 273 | C2×Dic53 | — | 8 | 1 | no | — |
| 274 | C2×Dic53 | — | 8 | 1 | no | — |
| 275 | D212 | — | 2 | 1 | no | — |
| 276 | C4×D53 | — | 4 | 1 | no | — |
| 277 | C4×D53 | — | 8 | 1 | no | — |
| 278 | C4×D53 | — | 8 | 1 | no | — |
| 279 | Dic106 | — | 2 | 1 | no | — |
| 280 | Dic106 | — | 4 | 1 | no | — |
| 281 | Dic106 | — | 4 | 1 | no | — |
| 282 | Dic106 | — | 4 | 1 | no | — |
| 283 | Dic106 | — | 4 | 1 | no | — |
| 284 | Dic106 | — | 8 | 1 | no | — |
| 285 | Dic106 | — | 8 | 1 | no | — |
| 286 | C8×C53 | — | 2 | 1 | no | — |
| 287 | C8×C53 | — | 2 | 1 | no | — |
| 288 | C8×C53 | — | 4 | 1 | no | — |
| 289 | C8×C53 | C2×D8 | 1 | 1 | yes | characteristic |
| 290 | C8×C53 | C2×D8 | 1 | 1 | yes | characteristic |
| 291 | C8×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 292 | C8×C53 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 293 | #88322 | — | 4 | 1 | no | — |
| 294 | #33855 | — | 53 | 1 | no | maximal, Sylow |
| 295 | C22×C53 | — | 2 | 1 | no | — |
| 296 | C22×C53 | — | 2 | 1 | no | — |
| 297 | C22×C53 | — | 4 | 1 | no | — |
| 298 | C22×C53 | — | 8 | 1 | no | — |
| 299 | C22×C53 | — | 16 | 1 | no | — |
| 300 | C22×C53 | — | 32 | 1 | no | — |
| 301 | C22×C53 | #576 | 1 | 1 | yes | characteristic |
| 302 | C2×D53 | — | 4 | 1 | no | — |
| 303 | C4×C53 | — | 2 | 1 | no | — |
| 304 | C4×C53 | — | 2 | 1 | no | — |
| 305 | C4×C53 | — | 4 | 1 | no | — |
| 306 | C4×C53 | — | 4 | 1 | no | — |
| 307 | C4×C53 | — | 8 | 1 | no | — |
| 308 | C4×C53 | D42 | 1 | 1 | yes | characteristic |
| 309 | C4×C53 | C22×D8 | 1 | 1 | yes | characteristic |
| 310 | Dic53 | — | 4 | 1 | no | — |
| 311 | Dic53 | — | 8 | 1 | no | — |
| 312 | Dic53 | — | 8 | 1 | no | — |
| 313 | #3417 | — | 53 | 1 | no | — |
| 314 | #3416 | — | 53 | 1 | no | — |
| 315 | #3293 | — | 53 | 1 | no | — |
| 316 | #3290 | D53 | 1 | 1 | yes | characteristic, complemented |
| 317 | #2251 | — | 53 | 1 | no | — |
| 318 | #2223 | — | 53 | 1 | no | — |
| 319 | #2222 | — | 53 | 1 | no | — |
| 320 | #2214 | — | 53 | 1 | no | — |
| 321 | #2212 | — | 53 | 1 | no | — |
| 322 | #2195 | — | 53 | 1 | no | — |
| 323 | #2195 | — | 53 | 1 | no | — |
| 324 | #2194 | — | 53 | 1 | no | — |
| 325 | #2193 | — | 53 | 1 | no | — |
| 326 | #2179 | — | 53 | 1 | no | — |
| 327 | #2171 | — | 53 | 1 | no | — |
| 328 | C2×C53 | — | 2 | 1 | no | — |
| 329 | C2×C53 | — | 4 | 1 | no | — |
| 330 | C2×C53 | — | 4 | 1 | no | — |
| 331 | C2×C53 | — | 8 | 1 | no | — |
| 332 | C2×C53 | — | 16 | 1 | no | — |
| 333 | C2×C53 | D4×D8 | 1 | 1 | yes | characteristic |
| 334 | D53 | — | 8 | 1 | no | — |
| 335 | #578 | — | 53 | 1 | no | — |
| 336 | #578 | — | 53 | 1 | no | — |
| 337 | #578 | — | 106 | 1 | no | — |
| 338 | #578 | C2×D53 | 1 | 1 | yes | characteristic |
| 339 | #577 | — | 2 | 1 | no | — |
| 340 | #576 | C2×D53 | 1 | 1 | yes | characteristic |
| 341 | #510 | — | 53 | 1 | no | — |
| 342 | #510 | — | 53 | 1 | no | — |
| 343 | #510 | — | 53 | 1 | no | — |
| 344 | #510 | — | 106 | 1 | no | — |
| 345 | #510 | — | 106 | 1 | no | — |
| 346 | #510 | — | 106 | 1 | no | — |
| 347 | #509 | — | 53 | 1 | no | — |
| 348 | #509 | — | 106 | 1 | no | — |
| 349 | #508 | — | 53 | 1 | no | — |
| 350 | #508 | — | 106 | 1 | no | — |
| 351 | #508 | — | 106 | 1 | no | — |
| 352 | C2×Q32 | — | 53 | 1 | no | — |
| 353 | C2×Q32 | — | 53 | 1 | no | — |
| 354 | C2×Q32 | — | 106 | 1 | no | — |
| 355 | C2×SD32 | — | 53 | 1 | no | — |
| 356 | C2×SD32 | — | 53 | 1 | no | — |
| 357 | C2×SD32 | — | 106 | 1 | no | — |
| 358 | #504 | — | 53 | 1 | no | — |
| 359 | #504 | — | 53 | 1 | no | — |
| 360 | #495 | C2×D53 | 1 | 1 | yes | characteristic |
| 361 | #494 | — | 53 | 1 | no | — |
| 362 | #473 | — | 53 | 1 | no | — |
| 363 | #473 | — | 53 | 1 | no | — |
| 364 | #473 | — | 106 | 1 | no | — |
| 365 | #473 | C2×D53 | 1 | 1 | yes | characteristic |
| 366 | #472 | C2×D53 | 1 | 1 | yes | characteristic |
| 367 | #471 | — | 2 | 1 | no | — |
| 368 | #456 | — | 106 | 1 | no | — |
| 369 | #456 | — | 106 | 1 | no | — |
| 370 | #455 | — | 2 | 1 | no | — |
| 371 | #454 | — | 2 | 1 | no | — |
| 372 | #443 | — | 53 | 1 | no | — |
| 373 | #443 | C2×D53 | 1 | 1 | yes | characteristic |
| 374 | #443 | C2×D53 | 1 | 1 | yes | characteristic |
| 375 | #368 | — | 53 | 1 | no | — |
| 376 | #364 | — | 53 | 1 | no | — |
| 377 | #362 | — | 53 | 1 | no | — |
| 378 | #362 | — | 53 | 1 | no | — |
| 379 | #362 | — | 53 | 1 | no | — |
| 380 | #361 | — | 53 | 1 | no | — |
| 381 | #359 | — | 53 | 1 | no | — |
| 382 | #359 | — | 53 | 1 | no | — |
| 383 | #350 | — | 53 | 1 | no | — |
| 384 | #350 | — | 53 | 1 | no | — |
| 385 | #346 | — | 53 | 1 | no | — |
| 386 | C53 | #33855 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 387 | 2−1+4 | — | 2 | 1 | no | — |
| 388 | 2−1+4 | — | 106 | 1 | no | — |
| 389 | 2−1+4 | — | 106 | 1 | no | — |
| 390 | H(5,𝔽2) | — | 2 | 1 | no | — |
| 391 | #137 | — | 2 | 1 | no | — |
| 392 | #137 | — | 2 | 1 | no | — |
| 393 | #137 | — | 4 | 1 | no | — |
| 394 | #137 | — | 4 | 1 | no | — |
| 395 | #137 | — | 106 | 1 | no | — |
| 396 | #137 | — | 106 | 1 | no | — |
| 397 | #137 | — | 106 | 1 | no | — |
| 398 | #137 | — | 106 | 1 | no | — |
| 399 | #137 | — | 212 | 1 | no | — |
| 400 | #137 | — | 212 | 1 | no | — |
| 401 | #137 | — | 212 | 1 | no | — |
| 402 | #137 | — | 212 | 1 | no | — |
| 403 | AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 404 | AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 405 | AGL(1,ℤ/8) | — | 4 | 1 | no | — |
| 406 | AGL(1,ℤ/8) | — | 4 | 1 | no | — |
| 407 | #135 | — | 2 | 1 | no | — |
| 408 | #135 | — | 2 | 1 | no | — |
| 409 | #135 | — | 4 | 1 | no | — |
| 410 | #135 | — | 53 | 1 | no | — |
| 411 | #135 | — | 106 | 1 | no | — |
| 412 | #135 | — | 106 | 1 | no | — |
| 413 | #135 | — | 212 | 1 | no | — |
| 414 | #135 | C22⋊D53 | 1 | 1 | yes | characteristic |
| 415 | #135 | C22×D53 | 1 | 1 | yes | characteristic |
| 416 | C2×Q16 | — | 2 | 1 | no | — |
| 417 | C2×Q16 | — | 53 | 1 | no | — |
| 418 | C2×Q16 | — | 53 | 1 | no | — |
| 419 | C2×Q16 | — | 106 | 1 | no | — |
| 420 | C2×Q16 | — | 106 | 1 | no | — |
| 421 | C2×Q16 | — | 106 | 1 | no | — |
| 422 | C2×Q16 | — | 212 | 1 | no | — |
| 423 | C2×Q16 | C22×D53 | 1 | 1 | yes | characteristic |
| 424 | C2×SD16 | — | 2 | 1 | no | — |
| 425 | C2×SD16 | — | 4 | 1 | no | — |
| 426 | C2×D8 | — | 2 | 1 | no | — |
| 427 | C2×D8 | C22×D53 | 1 | 1 | yes | characteristic |
| 428 | #131 | — | 2 | 1 | no | — |
| 429 | #131 | — | 106 | 1 | no | — |
| 430 | #131 | C22×D53 | 1 | 1 | yes | characteristic |
| 431 | #131 | C22×D53 | 1 | 1 | yes | characteristic |
| 432 | C4⋊Q8 | — | 106 | 1 | no | — |
| 433 | #124 | — | 2 | 1 | no | — |
| 434 | Q32 | — | 53 | 1 | no | — |
| 435 | Q32 | — | 106 | 1 | no | — |
| 436 | Q32 | — | 106 | 1 | no | — |
| 437 | Q32 | — | 106 | 1 | no | — |
| 438 | Q32 | — | 106 | 1 | no | — |
| 439 | Q32 | — | 106 | 1 | no | — |
| 440 | Q32 | — | 212 | 1 | no | — |
| 441 | SD32 | — | 53 | 1 | no | — |
| 442 | SD32 | — | 53 | 1 | no | — |
| 443 | SD32 | — | 106 | 1 | no | — |
| 444 | SD32 | — | 106 | 1 | no | — |
| 445 | SD32 | — | 106 | 1 | no | — |
| 446 | SD32 | — | 106 | 1 | no | — |
| 447 | SD32 | — | 106 | 1 | no | — |
| 448 | SD32 | — | 106 | 1 | no | — |
| 449 | SD32 | — | 212 | 1 | no | — |
| 450 | D16 | — | 53 | 1 | no | — |
| 451 | D16 | — | 106 | 1 | no | — |
| 452 | M32 | — | 53 | 1 | no | — |
| 453 | M32 | — | 53 | 1 | no | — |
| 454 | M32 | — | 106 | 1 | no | — |
| 455 | M32 | — | 106 | 1 | no | — |
| 456 | C2×C16 | — | 53 | 1 | no | — |
| 457 | C2×C16 | — | 53 | 1 | no | — |
| 458 | C2×C16 | — | 106 | 1 | no | — |
| 459 | C2×C16 | — | 106 | 1 | no | — |
| 460 | #108 | — | 53 | 1 | no | — |
| 461 | #108 | C22⋊D53 | 1 | 1 | yes | characteristic |
| 462 | #108 | C22×D53 | 1 | 1 | yes | characteristic |
| 463 | #104 | — | 2 | 1 | no | — |
| 464 | #104 | — | 106 | 1 | no | — |
| 465 | #104 | C22⋊D53 | 1 | 1 | yes | characteristic |
| 466 | #104 | C22⋊D53 | 1 | 1 | yes | characteristic |
| 467 | #101 | — | 2 | 1 | no | — |
| 468 | #101 | — | 106 | 1 | no | — |
| 469 | #101 | — | 106 | 1 | no | — |
| 470 | #100 | — | 2 | 1 | no | — |
| 471 | C4×C8 | C22×D53 | 1 | 1 | yes | characteristic |
| 472 | #41 | — | 2 | 1 | no | — |
| 473 | #41 | — | 4 | 1 | no | — |
| 474 | #41 | — | 4 | 1 | no | — |
| 475 | #41 | — | 4 | 1 | no | — |
| 476 | #41 | — | 4 | 1 | no | — |
| 477 | #41 | — | 8 | 1 | no | — |
| 478 | #41 | — | 106 | 1 | no | — |
| 479 | #41 | — | 424 | 1 | no | — |
| 480 | #41 | — | 424 | 1 | no | — |
| 481 | #41 | — | 212 | 1 | no | — |
| 482 | #41 | — | 212 | 1 | no | — |
| 483 | #41 | — | 212 | 1 | no | — |
| 484 | #41 | — | 212 | 1 | no | — |
| 485 | #41 | C2×C22⋊D53 | 1 | 1 | yes | characteristic |
| 486 | #41 | C2×C22⋊D53 | 1 | 1 | yes | characteristic |
| 487 | C2×Q8 | — | 2 | 1 | no | — |
| 488 | C2×Q8 | — | 4 | 1 | no | — |
| 489 | C2×Q8 | — | 4 | 1 | no | — |
| 490 | C2×Q8 | — | 106 | 1 | no | — |
| 491 | C2×Q8 | — | 106 | 1 | no | — |
| 492 | C2×Q8 | — | 212 | 1 | no | — |
| 493 | C2×Q8 | — | 212 | 1 | no | — |
| 494 | C2×Q8 | — | 212 | 1 | no | — |
| 495 | C2×Q8 | — | 212 | 1 | no | — |
| 496 | C2×D4 | — | 2 | 1 | no | — |
| 497 | C2×D4 | — | 4 | 1 | no | — |
| 498 | C2×D4 | — | 4 | 1 | no | — |
| 499 | C2×D4 | — | 8 | 1 | no | — |
| 500 | Q16 | — | 2 | 1 | no | — |
| 501 | Q16 | — | 2 | 1 | no | — |
| 502 | Q16 | — | 4 | 1 | no | — |
| 503 | Q16 | — | 4 | 1 | no | — |
| 504 | Q16 | — | 53 | 1 | no | — |
| 505 | Q16 | — | 106 | 1 | no | — |
| 506 | Q16 | — | 106 | 1 | no | — |
| 507 | Q16 | — | 106 | 1 | no | — |
| 508 | Q16 | — | 106 | 1 | no | — |
| 509 | Q16 | — | 212 | 1 | no | — |
| 510 | Q16 | — | 212 | 1 | no | — |
| 511 | Q16 | — | 212 | 1 | no | — |
| 512 | Q16 | — | 212 | 1 | no | — |
| 513 | Q16 | — | 212 | 1 | no | — |
| 514 | Q16 | — | 212 | 1 | no | — |
| 515 | Q16 | #11719922 | 1 | 1 | yes | characteristic |
| 516 | Q16 | D4×D53 | 1 | 1 | yes | characteristic |
| 517 | SD16 | — | 2 | 1 | no | — |
| 518 | SD16 | — | 4 | 1 | no | — |
| 519 | SD16 | — | 4 | 1 | no | — |
| 520 | SD16 | — | 4 | 1 | no | — |
| 521 | SD16 | — | 4 | 1 | no | — |
| 522 | SD16 | — | 4 | 1 | no | — |
| 523 | SD16 | — | 4 | 1 | no | — |
| 524 | SD16 | — | 106 | 1 | no | — |
| 525 | SD16 | — | 212 | 1 | no | — |
| 526 | SD16 | — | 212 | 1 | no | — |
| 527 | SD16 | — | 212 | 1 | no | — |
| 528 | SD16 | — | 212 | 1 | no | — |
| 529 | SD16 | #11719922 | 1 | 1 | yes | characteristic |
| 530 | SD16 | #11719922 | 1 | 1 | yes | characteristic |
| 531 | D8 | — | 2 | 1 | no | — |
| 532 | D8 | — | 2 | 1 | no | — |
| 533 | D8 | — | 4 | 1 | no | — |
| 534 | D8 | — | 4 | 1 | no | — |
| 535 | D8 | — | 53 | 1 | no | — |
| 536 | D8 | #11719922 | 1 | 1 | yes | characteristic |
| 537 | D8 | D4×D53 | 1 | 1 | yes | characteristic |
| 538 | M16 | — | 2 | 1 | no | — |
| 539 | M16 | — | 2 | 1 | no | — |
| 540 | M16 | — | 2 | 1 | no | — |
| 541 | M16 | — | 4 | 1 | no | — |
| 542 | M16 | — | 106 | 1 | no | — |
| 543 | M16 | — | 212 | 1 | no | — |
| 544 | M16 | C2×C22⋊D53 | 1 | 1 | yes | characteristic |
| 545 | M16 | C2×C22⋊D53 | 1 | 1 | yes | characteristic |
| 546 | C2×C8 | — | 2 | 1 | no | — |
| 547 | C2×C8 | — | 2 | 1 | no | — |
| 548 | C2×C8 | — | 4 | 1 | no | — |
| 549 | C2×C8 | — | 212 | 1 | no | — |
| 550 | C2×C8 | C2×C22⋊D53 | 1 | 1 | yes | characteristic |
| 551 | C2×C8 | C23×D53 | 1 | 1 | yes | characteristic |
| 552 | C4⋊C4 | — | 424 | 1 | no | — |
| 553 | C22⋊C4 | — | 8 | 1 | no | — |
| 554 | C42 | C2×C22⋊D53 | 1 | 1 | yes | characteristic |
| 555 | C16 | — | 53 | 1 | no | — |
| 556 | C16 | — | 53 | 1 | no | — |
| 557 | C16 | — | 106 | 1 | no | — |
| 558 | C16 | — | 106 | 1 | no | — |
| 559 | C16 | — | 106 | 1 | no | — |
| 560 | C23 | — | 4 | 1 | no | — |
| 561 | C23 | — | 8 | 1 | no | — |
| 562 | Q8 | — | 2 | 1 | no | — |
| 563 | Q8 | — | 4 | 1 | no | — |
| 564 | Q8 | — | 4 | 1 | no | — |
| 565 | Q8 | — | 8 | 1 | no | — |
| 566 | Q8 | — | 106 | 1 | no | — |
| 567 | Q8 | — | 424 | 1 | no | — |
| 568 | Q8 | — | 424 | 1 | no | — |
| 569 | Q8 | — | 212 | 1 | no | — |
| 570 | Q8 | — | 212 | 1 | no | — |
| 571 | Q8 | — | 212 | 1 | no | — |
| 572 | Q8 | — | 212 | 1 | no | — |
| 573 | Q8 | C2×#11719922 | 1 | 1 | yes | characteristic |
| 574 | Q8 | C2×#11719922 | 1 | 1 | yes | characteristic |
| 575 | D4 | — | 2 | 1 | no | — |
| 576 | D4 | — | 2 | 1 | no | — |
| 577 | D4 | — | 2 | 1 | no | — |
| 578 | D4 | — | 4 | 1 | no | — |
| 579 | D4 | — | 4 | 1 | no | — |
| 580 | D4 | — | 4 | 1 | no | — |
| 581 | D4 | — | 8 | 1 | no | — |
| 582 | D4 | — | 8 | 1 | no | — |
| 583 | D4 | — | 8 | 1 | no | — |
| 584 | D4 | — | 106 | 1 | no | — |
| 585 | D4 | — | 424 | 1 | no | — |
| 586 | D4 | — | 424 | 1 | no | — |
| 587 | D4 | — | 212 | 1 | no | — |
| 588 | D4 | C2×#11719922 | 1 | 1 | yes | characteristic |
| 589 | D4 | C2×#11719922 | 1 | 1 | yes | characteristic |
| 590 | C2×C4 | — | 2 | 1 | no | — |
| 591 | C2×C4 | — | 2 | 1 | no | — |
| 592 | C2×C4 | — | 2 | 1 | no | — |
| 593 | C2×C4 | — | 4 | 1 | no | — |
| 594 | C2×C4 | — | 4 | 1 | no | — |
| 595 | C2×C4 | — | 8 | 1 | no | — |
| 596 | C2×C4 | — | 8 | 1 | no | — |
| 597 | C2×C4 | — | 8 | 1 | no | — |
| 598 | C2×C4 | — | 424 | 1 | no | — |
| 599 | C2×C4 | — | 424 | 1 | no | — |
| 600 | C2×C4 | — | 424 | 1 | no | — |
| 601 | C2×C4 | — | 424 | 1 | no | — |
| 602 | C2×C4 | — | 212 | 1 | no | — |
| 603 | C2×C4 | — | 212 | 1 | no | — |
| 604 | C2×C4 | — | 212 | 1 | no | — |
| 605 | C2×C4 | C22×C22⋊D53 | 1 | 1 | yes | characteristic |
| 606 | C8 | — | 2 | 1 | no | — |
| 607 | C8 | — | 2 | 1 | no | — |
| 608 | C8 | — | 4 | 1 | no | — |
| 609 | C8 | — | 212 | 1 | no | — |
| 610 | C8 | C2×#11719922 | 1 | 1 | yes | characteristic |
| 611 | C8 | C2×#11719922 | 1 | 1 | yes | characteristic |
| 612 | C8 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 613 | C8 | #13133262 | 1 | 1 | yes | characteristic |
| 614 | C22 | — | 2 | 1 | no | — |
| 615 | C22 | — | 2 | 1 | no | — |
| 616 | C22 | — | 4 | 1 | no | — |
| 617 | C22 | — | 8 | 1 | no | — |
| 618 | C22 | — | 16 | 1 | no | — |
| 619 | C22 | — | 32 | 1 | no | — |
| 620 | C22 | — | 212 | 1 | no | — |
| 621 | C22 | #16811426 | 1 | 1 | yes | characteristic |
| 622 | C4 | — | 2 | 1 | no | — |
| 623 | C4 | — | 2 | 1 | no | — |
| 624 | C4 | — | 4 | 1 | no | — |
| 625 | C4 | — | 4 | 1 | no | — |
| 626 | C4 | — | 8 | 1 | no | — |
| 627 | C4 | — | 424 | 1 | no | — |
| 628 | C4 | — | 424 | 1 | no | — |
| 629 | C4 | — | 212 | 1 | no | — |
| 630 | C4 | D4×C22⋊D53 | 1 | 1 | yes | characteristic |
| 631 | C4 | C22×#11719922 | 1 | 1 | yes | characteristic |
| 632 | C2 | — | 2 | 1 | no | — |
| 633 | C2 | — | 4 | 1 | no | — |
| 634 | C2 | — | 4 | 1 | no | — |
| 635 | C2 | — | 8 | 1 | no | — |
| 636 | C2 | — | 16 | 1 | no | — |
| 637 | C2 | — | 424 | 1 | no | — |
| 638 | C2 | D4×#11719922 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta