| 1 | C2×#16811059 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#16811058 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #20286402 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #20276974 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #20276830 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #20276826 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #20276770 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #20276767 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #20276655 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #20276653 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #20276627 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #20276626 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | C4×#13133158 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #20276547 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C53×#3280 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×#13133239 | C22 | 1 | 1 | yes | characteristic |
| 17 | C22×D424 | C22 | 1 | 1 | yes | characteristic, complemented |
| 18 | #16811269 | — | 2 | 1 | no | — |
| 19 | #16811059 | — | 2 | 4 | no | — |
| 20 | #16811058 | — | 2 | 4 | no | — |
| 21 | C2×#13133163 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | C2×#13133161 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | C2×#13133161 | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | C2×#13133160 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | C2×#13133160 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | C2×#13133158 | C22 | 1 | 1 | yes | characteristic |
| 27 | C2×#13133158 | C22 | 1 | 1 | yes | characteristic |
| 28 | C2×#13133158 | C22 | 1 | 1 | yes | characteristic |
| 29 | C2×#13133158 | C22 | 1 | 1 | yes | characteristic |
| 30 | C2×#13133157 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | C2×#13133157 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | #16811007 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | #16810864 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | #16810859 | C22 | 1 | 1 | yes | characteristic |
| 35 | #16810839 | — | 2 | 1 | no | — |
| 36 | #16810776 | — | 2 | 1 | no | — |
| 37 | #16810770 | — | 2 | 1 | no | — |
| 38 | C4×D424 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | #16810448 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | C4⋊#11719908 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | #16810427 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | #16810426 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | #16810424 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | #16810424 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | #16810423 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | #16810423 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | C22⋊#11719908 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | C22⋊#11719908 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | C4×#11719908 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | C2×#135×C53 | C22 | 1 | 1 | yes | characteristic |
| 51 | C22×D8×C53 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | C53×#546 | — | 2 | 1 | no | — |
| 53 | C53×#495 | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | C53×#467 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | C53×#466 | C22 | 1 | 1 | yes | characteristic |
| 56 | C53×#463 | — | 2 | 1 | no | — |
| 57 | C53×#450 | — | 2 | 1 | no | — |
| 58 | C53×#449 | — | 2 | 1 | no | — |
| 59 | C4×D8×C53 | C22 | 1 | 1 | yes | characteristic, complemented |
| 60 | C8×D4×C53 | C22 | 1 | 1 | yes | characteristic |
| 61 | C2×#11719945 | — | 2 | 1 | no | — |
| 62 | C22×D212 | — | 2 | 1 | no | — |
| 63 | #13133239 | — | 2 | 2 | no | — |
| 64 | #13133239 | — | 4 | 1 | no | — |
| 65 | C2×Dic212 | C23 | 1 | 1 | yes | characteristic |
| 66 | C2×#11719913 | — | 2 | 1 | no | — |
| 67 | C2×#11719913 | — | 2 | 1 | no | — |
| 68 | C2×D424 | — | 2 | 1 | no | — |
| 69 | C2×D424 | — | 2 | 2 | no | — |
| 70 | C2×D424 | — | 4 | 1 | no | — |
| 71 | C2×D424 | C23 | 1 | 1 | yes | characteristic |
| 72 | C2×D424 | C23 | 1 | 1 | yes | characteristic |
| 73 | #13133205 | — | 2 | 1 | no | — |
| 74 | #13133202 | — | 4 | 1 | no | — |
| 75 | #13133196 | — | 2 | 1 | no | — |
| 76 | #13133191 | — | 2 | 1 | no | — |
| 77 | #13133190 | — | 4 | 1 | no | — |
| 78 | #13133185 | — | 4 | 1 | no | — |
| 79 | C4×D212 | — | 2 | 1 | no | — |
| 80 | C22⋊C4×D53 | — | 4 | 1 | no | — |
| 81 | #13133163 | — | 4 | 1 | no | — |
| 82 | #13133161 | — | 2 | 2 | no | — |
| 83 | #13133161 | — | 2 | 2 | no | — |
| 84 | #13133160 | — | 2 | 2 | no | — |
| 85 | #13133160 | — | 2 | 2 | no | — |
| 86 | #13133158 | — | 2 | 2 | no | — |
| 87 | #13133158 | — | 2 | 2 | no | — |
| 88 | #13133158 | — | 4 | 1 | no | — |
| 89 | #13133158 | D4 | 1 | 4 | yes | complemented |
| 90 | #13133157 | — | 2 | 2 | no | — |
| 91 | #13133157 | — | 2 | 2 | no | — |
| 92 | C2×#11719908 | C23 | 1 | 1 | yes | characteristic |
| 93 | C2×#11719908 | C23 | 1 | 1 | yes | characteristic |
| 94 | C2×#11719908 | C23 | 1 | 1 | yes | characteristic |
| 95 | C2×#11719908 | C23 | 1 | 1 | yes | characteristic |
| 96 | #13133151 | C23 | 1 | 1 | yes | characteristic |
| 97 | #13133142 | — | 2 | 1 | no | — |
| 98 | #13133139 | — | 2 | 1 | no | — |
| 99 | #13133139 | — | 2 | 1 | no | — |
| 100 | C2×#41×C53 | — | 2 | 1 | no | — |
| 101 | C22×D4×C53 | — | 2 | 1 | no | — |
| 102 | #135×C53 | — | 2 | 2 | no | — |
| 103 | #135×C53 | — | 4 | 1 | no | — |
| 104 | C2×Q16×C53 | C23 | 1 | 1 | yes | characteristic |
| 105 | C2×SD16×C53 | — | 2 | 1 | no | — |
| 106 | C2×SD16×C53 | — | 2 | 1 | no | — |
| 107 | C2×D8×C53 | — | 2 | 1 | no | — |
| 108 | C2×D8×C53 | — | 2 | 2 | no | — |
| 109 | C2×D8×C53 | — | 4 | 1 | no | — |
| 110 | C2×D8×C53 | C23 | 1 | 1 | yes | characteristic |
| 111 | C2×D8×C53 | C23 | 1 | 1 | yes | characteristic |
| 112 | C22×C8×C53 | C23 | 1 | 1 | yes | characteristic |
| 113 | C22×C8×C53 | C23 | 1 | 1 | yes | characteristic |
| 114 | #124×C53 | — | 2 | 1 | no | — |
| 115 | #123×C53 | — | 4 | 1 | no | — |
| 116 | C22⋊Q8×C53 | — | 2 | 1 | no | — |
| 117 | #121×C53 | — | 2 | 1 | no | — |
| 118 | #121×C53 | — | 4 | 1 | no | — |
| 119 | #120×C53 | — | 4 | 1 | no | — |
| 120 | C4×D4×C53 | — | 2 | 1 | no | — |
| 121 | C4×D4×C53 | D4 | 1 | 1 | yes | characteristic |
| 122 | C2×C22⋊C4×C53 | — | 4 | 1 | no | — |
| 123 | #107×C53 | C23 | 1 | 1 | yes | characteristic |
| 124 | C4⋊C8×C53 | D4 | 1 | 1 | yes | characteristic |
| 125 | #103×C53 | — | 2 | 1 | no | — |
| 126 | #102×C53 | — | 2 | 1 | no | — |
| 127 | #102×C53 | — | 2 | 1 | no | — |
| 128 | C22⋊C8×C53 | D4 | 1 | 1 | yes | characteristic |
| 129 | C22⋊C8×C53 | D4 | 1 | 1 | yes | characteristic |
| 130 | C4×C8×C53 | C23 | 1 | 1 | yes | characteristic |
| 131 | C24×C53 | — | 4 | 1 | no | — |
| 132 | C23×D53 | — | 4 | 1 | no | — |
| 133 | #41×C53 | — | 4 | 2 | no | — |
| 134 | #41×C53 | — | 8 | 1 | no | — |
| 135 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 136 | C2×D4×C53 | — | 2 | 1 | no | — |
| 137 | C2×D4×C53 | — | 2 | 1 | no | — |
| 138 | C2×D4×C53 | — | 4 | 2 | no | — |
| 139 | C2×D4×C53 | — | 4 | 1 | no | — |
| 140 | C2×D4×C53 | — | 4 | 1 | no | — |
| 141 | C2×D4×C53 | — | 4 | 1 | no | — |
| 142 | C2×D4×C53 | — | 8 | 1 | no | — |
| 143 | C2×D4×C53 | D8 | 1 | 1 | yes | characteristic |
| 144 | C22×C4×C53 | — | 4 | 1 | no | — |
| 145 | C22×C4×C53 | — | 4 | 1 | no | — |
| 146 | C22×C4×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 147 | C22×C4×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 148 | C2×C22⋊D53 | — | 4 | 1 | no | — |
| 149 | C2×C22⋊D53 | — | 4 | 1 | no | — |
| 150 | #11719945 | — | 4 | 2 | no | — |
| 151 | #11719945 | — | 8 | 1 | no | — |
| 152 | C2×D212 | — | 2 | 1 | no | — |
| 153 | C2×D212 | — | 2 | 1 | no | — |
| 154 | C2×D212 | — | 4 | 2 | no | — |
| 155 | C2×D212 | — | 4 | 1 | no | — |
| 156 | C2×D212 | — | 8 | 1 | no | — |
| 157 | C2×C4×D53 | — | 4 | 1 | no | — |
| 158 | C2×C4×D53 | — | 4 | 1 | no | — |
| 159 | C2×Dic106 | — | 2 | 1 | no | — |
| 160 | Q16×C53 | — | 2 | 1 | no | — |
| 161 | Q16×C53 | — | 2 | 1 | no | — |
| 162 | SD16×C53 | — | 4 | 2 | no | — |
| 163 | SD16×C53 | — | 8 | 1 | no | — |
| 164 | D8×C53 | — | 2 | 1 | no | — |
| 165 | D8×C53 | — | 2 | 1 | no | — |
| 166 | D8×C53 | — | 2 | 1 | no | — |
| 167 | D8×C53 | — | 4 | 2 | no | — |
| 168 | D8×C53 | C2×D4 | 1 | 2 | yes | — |
| 169 | C2×C8×C53 | — | 2 | 1 | no | — |
| 170 | C2×C8×C53 | — | 2 | 1 | no | — |
| 171 | C2×C8×C53 | — | 2 | 1 | no | — |
| 172 | C2×C8×C53 | — | 2 | 1 | no | — |
| 173 | C2×C8×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 174 | C2×C8×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 175 | C2×C8×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 176 | C2×C8×C53 | C24 | 1 | 1 | yes | characteristic |
| 177 | C4⋊C4×C53 | — | 2 | 1 | no | — |
| 178 | C4⋊C4×C53 | — | 4 | 1 | no | — |
| 179 | C4⋊C4×C53 | D8 | 1 | 1 | yes | characteristic |
| 180 | C22⋊C4×C53 | — | 4 | 1 | no | — |
| 181 | C22⋊C4×C53 | — | 4 | 1 | no | — |
| 182 | C22⋊C4×C53 | — | 4 | 1 | no | — |
| 183 | C22⋊C4×C53 | — | 4 | 1 | no | — |
| 184 | C22⋊C4×C53 | — | 4 | 1 | no | — |
| 185 | C22⋊C4×C53 | D8 | 1 | 1 | yes | characteristic |
| 186 | C22⋊C4×C53 | D8 | 1 | 1 | yes | characteristic |
| 187 | C42×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 188 | C22⋊Dic53 | — | 4 | 1 | no | — |
| 189 | #11719921 | — | 4 | 1 | no | — |
| 190 | #11719921 | — | 4 | 1 | no | — |
| 191 | #11719921 | — | 4 | 1 | no | — |
| 192 | #11719921 | — | 4 | 1 | no | — |
| 193 | C4⋊Dic53 | — | 2 | 1 | no | — |
| 194 | #11719919 | — | 4 | 1 | no | — |
| 195 | Dic212 | — | 2 | 1 | no | — |
| 196 | Dic212 | — | 2 | 1 | no | — |
| 197 | D424 | — | 2 | 1 | no | — |
| 198 | D424 | — | 2 | 1 | no | — |
| 199 | D424 | — | 2 | 1 | no | — |
| 200 | D424 | — | 4 | 2 | no | — |
| 201 | D424 | C2×D4 | 1 | 2 | yes | — |
| 202 | #11719913 | — | 4 | 2 | no | — |
| 203 | #11719913 | — | 8 | 1 | no | — |
| 204 | #11719908 | — | 2 | 1 | no | — |
| 205 | #11719908 | — | 2 | 1 | no | — |
| 206 | #11719908 | — | 2 | 1 | no | — |
| 207 | #11719908 | C2×D4 | 1 | 2 | yes | — |
| 208 | C23×C53 | — | 4 | 1 | no | — |
| 209 | C23×C53 | — | 4 | 1 | no | — |
| 210 | C23×C53 | — | 8 | 2 | no | — |
| 211 | C23×C53 | — | 8 | 2 | no | — |
| 212 | C23×C53 | — | 16 | 1 | no | — |
| 213 | C23×C53 | C2×D8 | 1 | 1 | yes | characteristic |
| 214 | C23×C53 | C2×D8 | 1 | 1 | yes | characteristic |
| 215 | C22×D53 | — | 4 | 1 | no | — |
| 216 | C22×D53 | — | 4 | 1 | no | — |
| 217 | C22×D53 | — | 8 | 2 | no | — |
| 218 | C22×D53 | — | 8 | 2 | no | — |
| 219 | C22×D53 | — | 16 | 1 | no | — |
| 220 | Q8×C53 | — | 4 | 1 | no | — |
| 221 | Q8×C53 | — | 4 | 1 | no | — |
| 222 | D4×C53 | — | 2 | 2 | no | — |
| 223 | D4×C53 | — | 4 | 1 | no | — |
| 224 | D4×C53 | — | 4 | 1 | no | — |
| 225 | D4×C53 | — | 4 | 1 | no | — |
| 226 | D4×C53 | — | 4 | 1 | no | — |
| 227 | D4×C53 | — | 8 | 2 | no | — |
| 228 | D4×C53 | — | 8 | 2 | no | — |
| 229 | D4×C53 | — | 16 | 1 | no | — |
| 230 | C2×C4×C53 | — | 2 | 1 | no | — |
| 231 | C2×C4×C53 | — | 2 | 1 | no | — |
| 232 | C2×C4×C53 | — | 2 | 1 | no | — |
| 233 | C2×C4×C53 | — | 2 | 1 | no | — |
| 234 | C2×C4×C53 | — | 4 | 1 | no | — |
| 235 | C2×C4×C53 | — | 4 | 1 | no | — |
| 236 | C2×C4×C53 | — | 8 | 2 | no | — |
| 237 | C2×C4×C53 | — | 16 | 1 | no | — |
| 238 | C2×C4×C53 | C2×D8 | 1 | 1 | yes | characteristic |
| 239 | C2×C4×C53 | C2×D8 | 1 | 1 | yes | characteristic |
| 240 | C2×C4×C53 | C2×D8 | 1 | 1 | yes | characteristic |
| 241 | C2×C4×C53 | C2×D8 | 1 | 1 | yes | characteristic |
| 242 | C2×C4×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 243 | C22⋊D53 | — | 8 | 2 | no | — |
| 244 | C22⋊D53 | — | 16 | 1 | no | — |
| 245 | C2×Dic53 | — | 4 | 1 | no | — |
| 246 | C2×Dic53 | — | 4 | 1 | no | — |
| 247 | D212 | — | 2 | 2 | no | — |
| 248 | D212 | — | 4 | 1 | no | — |
| 249 | D212 | — | 4 | 1 | no | — |
| 250 | D212 | — | 4 | 1 | no | — |
| 251 | D212 | — | 8 | 2 | no | — |
| 252 | C4×D53 | — | 8 | 2 | no | — |
| 253 | C4×D53 | — | 16 | 1 | no | — |
| 254 | Dic106 | — | 4 | 1 | no | — |
| 255 | Dic106 | — | 4 | 1 | no | — |
| 256 | C8×C53 | — | 2 | 1 | no | — |
| 257 | C8×C53 | — | 2 | 1 | no | — |
| 258 | C8×C53 | — | 2 | 1 | no | — |
| 259 | C8×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 260 | C8×C53 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 261 | #33839 | — | 53 | 1 | no | maximal, Sylow |
| 262 | C22×C53 | — | 2 | 1 | no | — |
| 263 | C22×C53 | — | 2 | 1 | no | — |
| 264 | C22×C53 | — | 2 | 1 | no | — |
| 265 | C22×C53 | — | 2 | 1 | no | — |
| 266 | C22×C53 | — | 2 | 1 | no | — |
| 267 | C22×C53 | — | 2 | 1 | no | — |
| 268 | C22×C53 | — | 4 | 2 | no | — |
| 269 | C22×C53 | — | 8 | 1 | no | — |
| 270 | C22×C53 | — | 8 | 1 | no | — |
| 271 | C22×C53 | — | 8 | 1 | no | — |
| 272 | C22×C53 | — | 8 | 1 | no | — |
| 273 | C22×C53 | — | 8 | 1 | no | — |
| 274 | C22×C53 | — | 16 | 4 | no | — |
| 275 | C22×C53 | C22×D8 | 1 | 1 | yes | characteristic |
| 276 | C2×D53 | — | 4 | 2 | no | — |
| 277 | C2×D53 | — | 8 | 1 | no | — |
| 278 | C2×D53 | — | 8 | 1 | no | — |
| 279 | C2×D53 | — | 8 | 1 | no | — |
| 280 | C2×D53 | — | 8 | 1 | no | — |
| 281 | C2×D53 | — | 8 | 1 | no | — |
| 282 | C2×D53 | — | 16 | 4 | no | — |
| 283 | C4×C53 | — | 2 | 1 | no | — |
| 284 | C4×C53 | — | 2 | 1 | no | — |
| 285 | C4×C53 | — | 2 | 1 | no | — |
| 286 | C4×C53 | — | 2 | 1 | no | — |
| 287 | C4×C53 | — | 8 | 1 | no | — |
| 288 | C4×C53 | — | 8 | 1 | no | — |
| 289 | C4×C53 | D42 | 1 | 1 | yes | characteristic |
| 290 | C4×C53 | #576 | 1 | 1 | yes | characteristic |
| 291 | Dic53 | — | 8 | 1 | no | — |
| 292 | Dic53 | — | 8 | 1 | no | — |
| 293 | C2×#509 | — | 53 | 1 | no | — |
| 294 | C2×#509 | — | 53 | 1 | no | — |
| 295 | #3280 | — | 53 | 1 | no | — |
| 296 | #3280 | D53 | 1 | 1 | yes | characteristic, complemented |
| 297 | #2249 | — | 53 | 1 | no | — |
| 298 | #2220 | — | 53 | 1 | no | — |
| 299 | #2220 | — | 53 | 1 | no | — |
| 300 | #2210 | — | 53 | 1 | no | — |
| 301 | #2210 | — | 53 | 1 | no | — |
| 302 | #2189 | — | 53 | 1 | no | — |
| 303 | #2189 | — | 53 | 1 | no | — |
| 304 | #2184 | — | 53 | 1 | no | — |
| 305 | #2184 | — | 53 | 1 | no | — |
| 306 | C4×D16 | — | 53 | 1 | no | — |
| 307 | #2169 | — | 53 | 1 | no | — |
| 308 | C2×C53 | — | 4 | 1 | no | — |
| 309 | C2×C53 | — | 4 | 1 | no | — |
| 310 | C2×C53 | — | 8 | 2 | no | — |
| 311 | C2×C53 | — | 16 | 1 | no | — |
| 312 | C2×C53 | D4×D8 | 1 | 1 | yes | characteristic |
| 313 | C2×C53 | #3414 | 1 | 1 | yes | characteristic |
| 314 | C2×C53 | #3415 | 1 | 1 | yes | characteristic |
| 315 | D53 | — | 8 | 2 | no | — |
| 316 | D53 | — | 16 | 1 | no | — |
| 317 | C2×#135 | — | 53 | 1 | no | — |
| 318 | C2×#135 | C2×D53 | 1 | 1 | yes | characteristic |
| 319 | C22×D8 | — | 53 | 1 | no | — |
| 320 | C22×D8 | C2×D53 | 1 | 1 | yes | characteristic, complemented |
| 321 | #546 | — | 2 | 1 | no | — |
| 322 | #546 | — | 106 | 1 | no | — |
| 323 | #509 | — | 106 | 4 | no | — |
| 324 | #509 | — | 106 | 4 | no | — |
| 325 | C2×Q32 | — | 53 | 1 | no | — |
| 326 | C2×SD32 | — | 53 | 1 | no | — |
| 327 | C2×SD32 | — | 53 | 1 | no | — |
| 328 | C2×SD32 | — | 53 | 1 | no | — |
| 329 | C2×SD32 | — | 53 | 1 | no | — |
| 330 | C2×D16 | — | 53 | 1 | no | — |
| 331 | C2×D16 | — | 53 | 1 | no | — |
| 332 | C2×D16 | — | 53 | 1 | no | — |
| 333 | C2×D16 | — | 53 | 1 | no | — |
| 334 | C2×M32 | — | 53 | 1 | no | — |
| 335 | C2×M32 | — | 53 | 1 | no | — |
| 336 | #495 | — | 53 | 1 | no | — |
| 337 | #495 | C2×D53 | 1 | 1 | yes | characteristic, complemented |
| 338 | #467 | — | 53 | 1 | no | — |
| 339 | #467 | C2×D53 | 1 | 1 | yes | characteristic, complemented |
| 340 | #466 | — | 53 | 1 | no | — |
| 341 | #466 | C2×D53 | 1 | 1 | yes | characteristic |
| 342 | #463 | — | 2 | 1 | no | — |
| 343 | #463 | — | 106 | 1 | no | — |
| 344 | #450 | — | 2 | 1 | no | — |
| 345 | #450 | — | 106 | 1 | no | — |
| 346 | #449 | — | 2 | 1 | no | — |
| 347 | #449 | — | 106 | 1 | no | — |
| 348 | C4×D8 | — | 53 | 1 | no | — |
| 349 | C4×D8 | C2×D53 | 1 | 1 | yes | characteristic, complemented |
| 350 | C8×D4 | C2×D53 | 1 | 1 | yes | characteristic |
| 351 | #366 | — | 53 | 1 | no | — |
| 352 | C4⋊C16 | — | 53 | 1 | no | — |
| 353 | #358 | — | 53 | 1 | no | — |
| 354 | #358 | — | 53 | 1 | no | — |
| 355 | #357 | — | 53 | 1 | no | — |
| 356 | #357 | — | 53 | 1 | no | — |
| 357 | #357 | — | 53 | 1 | no | — |
| 358 | #357 | — | 53 | 1 | no | — |
| 359 | C22⋊C16 | — | 53 | 1 | no | — |
| 360 | C22⋊C16 | — | 53 | 1 | no | — |
| 361 | C4×C16 | — | 53 | 1 | no | — |
| 362 | C53 | #33839 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 363 | C2×#41 | — | 2 | 1 | no | — |
| 364 | C2×#41 | — | 106 | 1 | no | — |
| 365 | C22×D4 | — | 2 | 1 | no | — |
| 366 | C22×D4 | — | 106 | 1 | no | — |
| 367 | #135 | — | 2 | 2 | no | — |
| 368 | #135 | — | 4 | 1 | no | — |
| 369 | #135 | — | 106 | 2 | no | — |
| 370 | #135 | — | 212 | 1 | no | — |
| 371 | C2×Q16 | — | 53 | 1 | no | — |
| 372 | C2×Q16 | C22×D53 | 1 | 1 | yes | characteristic |
| 373 | C2×SD16 | — | 2 | 1 | no | — |
| 374 | C2×SD16 | — | 2 | 1 | no | — |
| 375 | C2×SD16 | — | 106 | 1 | no | — |
| 376 | C2×SD16 | — | 106 | 1 | no | — |
| 377 | C2×D8 | — | 2 | 2 | no | — |
| 378 | C2×D8 | — | 2 | 1 | no | — |
| 379 | C2×D8 | — | 4 | 1 | no | — |
| 380 | C2×D8 | — | 53 | 1 | no | — |
| 381 | C2×D8 | — | 53 | 1 | no | — |
| 382 | C2×D8 | — | 106 | 2 | no | — |
| 383 | C2×D8 | — | 106 | 1 | no | — |
| 384 | C2×D8 | — | 212 | 1 | no | — |
| 385 | C2×D8 | C22×D53 | 1 | 1 | yes | characteristic |
| 386 | C2×D8 | C22×D53 | 1 | 1 | yes | characteristic |
| 387 | C22×C8 | C22×D53 | 1 | 1 | yes | characteristic |
| 388 | C22×C8 | C22×D53 | 1 | 1 | yes | characteristic |
| 389 | #124 | — | 2 | 1 | no | — |
| 390 | #124 | — | 106 | 1 | no | — |
| 391 | #123 | — | 4 | 1 | no | — |
| 392 | #123 | — | 212 | 1 | no | — |
| 393 | C22⋊Q8 | — | 2 | 1 | no | — |
| 394 | C22⋊Q8 | — | 106 | 1 | no | — |
| 395 | #121 | — | 2 | 1 | no | — |
| 396 | #121 | — | 4 | 1 | no | — |
| 397 | #121 | — | 106 | 1 | no | — |
| 398 | #121 | — | 212 | 1 | no | — |
| 399 | #120 | — | 4 | 1 | no | — |
| 400 | #120 | — | 212 | 1 | no | — |
| 401 | C4×D4 | — | 2 | 1 | no | — |
| 402 | C4×D4 | — | 106 | 1 | no | — |
| 403 | C4×D4 | C22⋊D53 | 1 | 1 | yes | characteristic |
| 404 | C2×C22⋊C4 | — | 4 | 1 | no | — |
| 405 | C2×C22⋊C4 | — | 212 | 1 | no | — |
| 406 | Q32 | — | 212 | 1 | no | — |
| 407 | SD32 | — | 106 | 2 | no | — |
| 408 | SD32 | — | 106 | 2 | no | — |
| 409 | SD32 | — | 106 | 2 | no | — |
| 410 | SD32 | — | 106 | 2 | no | — |
| 411 | D16 | — | 53 | 4 | no | — |
| 412 | D16 | — | 106 | 2 | no | — |
| 413 | D16 | — | 106 | 2 | no | — |
| 414 | D16 | — | 212 | 1 | no | — |
| 415 | M32 | — | 106 | 2 | no | — |
| 416 | M32 | — | 106 | 2 | no | — |
| 417 | C2×C16 | — | 53 | 1 | no | — |
| 418 | C2×C16 | — | 53 | 1 | no | — |
| 419 | C2×C16 | — | 53 | 1 | no | — |
| 420 | C2×C16 | — | 53 | 1 | no | — |
| 421 | #107 | — | 53 | 1 | no | — |
| 422 | #107 | C22×D53 | 1 | 1 | yes | characteristic |
| 423 | C4⋊C8 | C22⋊D53 | 1 | 1 | yes | characteristic |
| 424 | #103 | — | 2 | 1 | no | — |
| 425 | #103 | — | 106 | 1 | no | — |
| 426 | #102 | — | 2 | 1 | no | — |
| 427 | #102 | — | 2 | 1 | no | — |
| 428 | #102 | — | 106 | 1 | no | — |
| 429 | #102 | — | 106 | 1 | no | — |
| 430 | C22⋊C8 | C22⋊D53 | 1 | 1 | yes | characteristic |
| 431 | C22⋊C8 | C22⋊D53 | 1 | 1 | yes | characteristic |
| 432 | C4×C8 | C22×D53 | 1 | 1 | yes | characteristic |
| 433 | C24 | — | 4 | 1 | no | — |
| 434 | C24 | — | 212 | 1 | no | — |
| 435 | #41 | — | 4 | 2 | no | — |
| 436 | #41 | — | 8 | 1 | no | — |
| 437 | #41 | — | 424 | 1 | no | — |
| 438 | #41 | — | 212 | 2 | no | — |
| 439 | C2×Q8 | — | 2 | 1 | no | — |
| 440 | C2×Q8 | — | 106 | 1 | no | — |
| 441 | C2×D4 | — | 2 | 1 | no | — |
| 442 | C2×D4 | — | 2 | 1 | no | — |
| 443 | C2×D4 | — | 4 | 2 | no | — |
| 444 | C2×D4 | — | 4 | 1 | no | — |
| 445 | C2×D4 | — | 4 | 1 | no | — |
| 446 | C2×D4 | — | 4 | 1 | no | — |
| 447 | C2×D4 | — | 8 | 1 | no | — |
| 448 | C2×D4 | — | 106 | 1 | no | — |
| 449 | C2×D4 | — | 106 | 1 | no | — |
| 450 | C2×D4 | — | 424 | 1 | no | — |
| 451 | C2×D4 | — | 212 | 2 | no | — |
| 452 | C2×D4 | — | 212 | 1 | no | — |
| 453 | C2×D4 | — | 212 | 1 | no | — |
| 454 | C2×D4 | — | 212 | 1 | no | — |
| 455 | C2×D4 | #11719922 | 1 | 1 | yes | characteristic |
| 456 | C22×C4 | — | 4 | 1 | no | — |
| 457 | C22×C4 | — | 4 | 1 | no | — |
| 458 | C22×C4 | — | 212 | 1 | no | — |
| 459 | C22×C4 | — | 212 | 1 | no | — |
| 460 | C22×C4 | C2×C22⋊D53 | 1 | 1 | yes | characteristic |
| 461 | C22×C4 | C2×C22⋊D53 | 1 | 1 | yes | characteristic |
| 462 | Q16 | — | 2 | 1 | no | — |
| 463 | Q16 | — | 2 | 1 | no | — |
| 464 | Q16 | — | 106 | 1 | no | — |
| 465 | Q16 | — | 106 | 1 | no | — |
| 466 | SD16 | — | 4 | 2 | no | — |
| 467 | SD16 | — | 8 | 1 | no | — |
| 468 | SD16 | — | 424 | 1 | no | — |
| 469 | SD16 | — | 212 | 2 | no | — |
| 470 | D8 | — | 2 | 1 | no | — |
| 471 | D8 | — | 2 | 1 | no | — |
| 472 | D8 | — | 2 | 1 | no | — |
| 473 | D8 | — | 4 | 2 | no | — |
| 474 | D8 | — | 53 | 2 | no | — |
| 475 | D8 | — | 106 | 1 | no | — |
| 476 | D8 | — | 106 | 1 | no | — |
| 477 | D8 | — | 106 | 1 | no | — |
| 478 | D8 | — | 212 | 2 | no | — |
| 479 | D8 | D4×D53 | 1 | 2 | yes | — |
| 480 | C2×C8 | — | 2 | 1 | no | — |
| 481 | C2×C8 | — | 2 | 1 | no | — |
| 482 | C2×C8 | — | 2 | 1 | no | — |
| 483 | C2×C8 | — | 2 | 1 | no | — |
| 484 | C2×C8 | C2×C22⋊D53 | 1 | 1 | yes | characteristic |
| 485 | C2×C8 | C2×C22⋊D53 | 1 | 1 | yes | characteristic |
| 486 | C2×C8 | C2×C22⋊D53 | 1 | 1 | yes | characteristic |
| 487 | C2×C8 | C23×D53 | 1 | 1 | yes | characteristic |
| 488 | C4⋊C4 | — | 2 | 1 | no | — |
| 489 | C4⋊C4 | — | 4 | 1 | no | — |
| 490 | C4⋊C4 | — | 106 | 1 | no | — |
| 491 | C4⋊C4 | — | 212 | 1 | no | — |
| 492 | C4⋊C4 | #11719922 | 1 | 1 | yes | characteristic |
| 493 | C22⋊C4 | — | 4 | 1 | no | — |
| 494 | C22⋊C4 | — | 4 | 1 | no | — |
| 495 | C22⋊C4 | — | 4 | 1 | no | — |
| 496 | C22⋊C4 | — | 4 | 1 | no | — |
| 497 | C22⋊C4 | — | 4 | 1 | no | — |
| 498 | C22⋊C4 | — | 212 | 1 | no | — |
| 499 | C22⋊C4 | — | 212 | 1 | no | — |
| 500 | C22⋊C4 | — | 212 | 1 | no | — |
| 501 | C22⋊C4 | — | 212 | 1 | no | — |
| 502 | C22⋊C4 | — | 212 | 1 | no | — |
| 503 | C22⋊C4 | #11719922 | 1 | 1 | yes | characteristic |
| 504 | C22⋊C4 | #11719922 | 1 | 1 | yes | characteristic |
| 505 | C42 | C2×C22⋊D53 | 1 | 1 | yes | characteristic |
| 506 | C16 | — | 53 | 2 | no | — |
| 507 | C16 | — | 106 | 1 | no | — |
| 508 | C16 | — | 106 | 1 | no | — |
| 509 | C16 | — | 106 | 1 | no | — |
| 510 | C23 | — | 4 | 1 | no | — |
| 511 | C23 | — | 4 | 1 | no | — |
| 512 | C23 | — | 8 | 2 | no | — |
| 513 | C23 | — | 8 | 2 | no | — |
| 514 | C23 | — | 16 | 1 | no | — |
| 515 | C23 | — | 848 | 1 | no | — |
| 516 | C23 | — | 424 | 2 | no | — |
| 517 | C23 | — | 424 | 2 | no | — |
| 518 | C23 | — | 212 | 1 | no | — |
| 519 | C23 | — | 212 | 1 | no | — |
| 520 | C23 | C2×#11719922 | 1 | 1 | yes | characteristic |
| 521 | C23 | C2×#11719922 | 1 | 1 | yes | characteristic |
| 522 | Q8 | — | 4 | 1 | no | — |
| 523 | Q8 | — | 4 | 1 | no | — |
| 524 | Q8 | — | 212 | 1 | no | — |
| 525 | Q8 | — | 212 | 1 | no | — |
| 526 | D4 | — | 2 | 2 | no | — |
| 527 | D4 | — | 4 | 1 | no | — |
| 528 | D4 | — | 4 | 1 | no | — |
| 529 | D4 | — | 4 | 1 | no | — |
| 530 | D4 | — | 4 | 1 | no | — |
| 531 | D4 | — | 8 | 2 | no | — |
| 532 | D4 | — | 8 | 2 | no | — |
| 533 | D4 | — | 16 | 1 | no | — |
| 534 | D4 | — | 848 | 1 | no | — |
| 535 | D4 | — | 106 | 2 | no | — |
| 536 | D4 | — | 424 | 2 | no | — |
| 537 | D4 | — | 424 | 2 | no | — |
| 538 | D4 | — | 212 | 1 | no | — |
| 539 | D4 | — | 212 | 1 | no | — |
| 540 | D4 | — | 212 | 1 | no | — |
| 541 | C2×C4 | — | 2 | 1 | no | — |
| 542 | C2×C4 | — | 2 | 1 | no | — |
| 543 | C2×C4 | — | 2 | 1 | no | — |
| 544 | C2×C4 | — | 2 | 1 | no | — |
| 545 | C2×C4 | — | 4 | 1 | no | — |
| 546 | C2×C4 | — | 4 | 1 | no | — |
| 547 | C2×C4 | — | 8 | 2 | no | — |
| 548 | C2×C4 | — | 16 | 1 | no | — |
| 549 | C2×C4 | — | 848 | 1 | no | — |
| 550 | C2×C4 | — | 424 | 2 | no | — |
| 551 | C2×C4 | — | 212 | 1 | no | — |
| 552 | C2×C4 | — | 212 | 1 | no | — |
| 553 | C2×C4 | C2×#11719922 | 1 | 1 | yes | characteristic |
| 554 | C2×C4 | C2×#11719922 | 1 | 1 | yes | characteristic |
| 555 | C2×C4 | C2×#11719922 | 1 | 1 | yes | characteristic |
| 556 | C2×C4 | C2×#11719922 | 1 | 1 | yes | characteristic |
| 557 | C2×C4 | C22×C22⋊D53 | 1 | 1 | yes | characteristic |
| 558 | C8 | — | 2 | 1 | no | — |
| 559 | C8 | — | 2 | 1 | no | — |
| 560 | C8 | — | 2 | 1 | no | — |
| 561 | C8 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 562 | C8 | #13133262 | 1 | 1 | yes | characteristic |
| 563 | C22 | — | 2 | 1 | no | — |
| 564 | C22 | — | 2 | 1 | no | — |
| 565 | C22 | — | 2 | 1 | no | — |
| 566 | C22 | — | 2 | 1 | no | — |
| 567 | C22 | — | 2 | 1 | no | — |
| 568 | C22 | — | 2 | 1 | no | — |
| 569 | C22 | — | 4 | 2 | no | — |
| 570 | C22 | — | 8 | 1 | no | — |
| 571 | C22 | — | 8 | 1 | no | — |
| 572 | C22 | — | 8 | 1 | no | — |
| 573 | C22 | — | 8 | 1 | no | — |
| 574 | C22 | — | 8 | 1 | no | — |
| 575 | C22 | — | 16 | 4 | no | — |
| 576 | C22 | — | 848 | 4 | no | — |
| 577 | C22 | — | 424 | 1 | no | — |
| 578 | C22 | — | 424 | 1 | no | — |
| 579 | C22 | — | 424 | 1 | no | — |
| 580 | C22 | — | 424 | 1 | no | — |
| 581 | C22 | — | 424 | 1 | no | — |
| 582 | C22 | — | 212 | 2 | no | — |
| 583 | C22 | C22×#11719922 | 1 | 1 | yes | characteristic |
| 584 | C4 | — | 2 | 1 | no | — |
| 585 | C4 | — | 2 | 1 | no | — |
| 586 | C4 | — | 2 | 1 | no | — |
| 587 | C4 | — | 2 | 1 | no | — |
| 588 | C4 | — | 8 | 1 | no | — |
| 589 | C4 | — | 8 | 1 | no | — |
| 590 | C4 | — | 424 | 1 | no | — |
| 591 | C4 | — | 424 | 1 | no | — |
| 592 | C4 | D4×C22⋊D53 | 1 | 1 | yes | characteristic |
| 593 | C4 | #16811426 | 1 | 1 | yes | characteristic |
| 594 | C2 | — | 4 | 1 | no | — |
| 595 | C2 | — | 4 | 1 | no | — |
| 596 | C2 | — | 8 | 2 | no | — |
| 597 | C2 | — | 16 | 1 | no | — |
| 598 | C2 | — | 848 | 1 | no | — |
| 599 | C2 | — | 424 | 2 | no | — |
| 600 | C2 | D4×#11719922 | 1 | 1 | yes | characteristic |
| 601 | C2 | #20287849 | 1 | 1 | yes | characteristic |
| 602 | C2 | #20287854 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta