| 1 | #20283991 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #20283192 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #20276178 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #20276173 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #20276168 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #20276165 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #20275992 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #20275975 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #20275974 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #20275264 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #20275234 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #20275002 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #20274933 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #20274684 | C2 | 1 | 1 | yes | maximal, characteristic |
| 15 | C53×#2049 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×#13133263 | C22 | 1 | 1 | yes | characteristic |
| 17 | C22×#11719924 | C22 | 1 | 1 | yes | characteristic |
| 18 | #16811389 | C22 | 1 | 1 | yes | characteristic |
| 19 | #16811389 | C22 | 1 | 1 | yes | characteristic |
| 20 | #16811197 | C22 | 1 | 1 | yes | characteristic |
| 21 | #16810784 | — | 2 | 2 | no | — |
| 22 | #16810772 | — | 2 | 2 | no | — |
| 23 | #16810671 | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | #16810651 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | #16810650 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | #16810640 | C22 | 1 | 1 | yes | characteristic |
| 27 | #16810632 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | #16810629 | C22 | 1 | 1 | yes | characteristic |
| 29 | #16810629 | C22 | 1 | 1 | yes | characteristic |
| 30 | #16810627 | C22 | 1 | 1 | yes | characteristic |
| 31 | #16810619 | C22 | 1 | 1 | yes | characteristic |
| 32 | #16810607 | C22 | 1 | 1 | yes | characteristic |
| 33 | #16810606 | — | 2 | 2 | no | — |
| 34 | #16810605 | C22 | 1 | 1 | yes | characteristic |
| 35 | C2×#13133136 | C22 | 1 | 1 | yes | characteristic, complemented |
| 36 | C2×#13133133 | C22 | 1 | 1 | yes | characteristic |
| 37 | C2×#13133133 | C22 | 1 | 1 | yes | characteristic |
| 38 | #100×D53 | — | 2 | 2 | no | — |
| 39 | #16810596 | C22 | 1 | 1 | yes | characteristic |
| 40 | #16810591 | C22 | 1 | 1 | yes | characteristic |
| 41 | #16810395 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | #16810395 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | #16810394 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | #16810387 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | #16810387 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | #16810380 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | #16810379 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | C2×#137×C53 | C22 | 1 | 1 | yes | characteristic |
| 49 | C53×#430 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | C53×#421 | C22 | 1 | 1 | yes | characteristic |
| 51 | C53×#419 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | C53×#413 | C22 | 1 | 1 | yes | characteristic |
| 53 | C2×#101×C53 | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | C53×#344 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | #13133263 | — | 4 | 1 | no | — |
| 56 | #13133263 | — | 4 | 1 | no | — |
| 57 | #13133263 | — | 4 | 1 | no | — |
| 58 | #13133263 | — | 4 | 1 | no | — |
| 59 | C2×#11719949 | D4 | 1 | 2 | yes | — |
| 60 | C2×#11719945 | — | 2 | 1 | no | — |
| 61 | C2×#11719945 | C23 | 1 | 1 | yes | characteristic |
| 62 | C22×D212 | — | 2 | 1 | no | — |
| 63 | C22×D212 | C23 | 1 | 1 | yes | characteristic |
| 64 | C2×D4×D53 | — | 2 | 2 | no | — |
| 65 | C2×D4×D53 | D4 | 1 | 2 | yes | — |
| 66 | C2×#11719924 | — | 2 | 2 | no | — |
| 67 | C2×#11719924 | — | 4 | 1 | no | — |
| 68 | C2×#11719924 | — | 4 | 1 | no | — |
| 69 | #13133225 | — | 4 | 1 | no | — |
| 70 | #13133225 | — | 4 | 1 | no | — |
| 71 | #13133223 | — | 4 | 1 | no | — |
| 72 | #13133223 | — | 4 | 1 | no | — |
| 73 | C2×#11719917 | C23 | 1 | 1 | yes | characteristic |
| 74 | C2×#11719917 | C23 | 1 | 1 | yes | characteristic |
| 75 | C2×#11719917 | C23 | 1 | 1 | yes | characteristic |
| 76 | M16×D53 | — | 2 | 2 | no | — |
| 77 | M16×D53 | — | 2 | 2 | no | — |
| 78 | C22×#88322 | C23 | 1 | 1 | yes | characteristic |
| 79 | #13133215 | — | 2 | 1 | no | — |
| 80 | #13133206 | — | 2 | 1 | no | — |
| 81 | #13133200 | — | 2 | 2 | no | — |
| 82 | #13133193 | — | 2 | 2 | no | — |
| 83 | #13133176 | C23 | 1 | 1 | yes | characteristic |
| 84 | #13133176 | C23 | 1 | 1 | yes | characteristic |
| 85 | #13133152 | — | 4 | 1 | no | — |
| 86 | C4⋊#88322 | — | 4 | 1 | no | — |
| 87 | #13133146 | — | 4 | 1 | no | — |
| 88 | #13133144 | — | 4 | 1 | no | — |
| 89 | #13133141 | — | 2 | 1 | no | — |
| 90 | #13133141 | — | 4 | 1 | no | — |
| 91 | #13133139 | — | 2 | 2 | no | — |
| 92 | #13133139 | — | 4 | 1 | no | — |
| 93 | #13133138 | — | 2 | 1 | no | — |
| 94 | #13133137 | — | 4 | 1 | no | — |
| 95 | #13133136 | — | 2 | 1 | no | — |
| 96 | #13133136 | — | 4 | 1 | no | — |
| 97 | #13133135 | — | 2 | 1 | no | — |
| 98 | #13133134 | — | 2 | 1 | no | — |
| 99 | #13133133 | — | 2 | 2 | no | — |
| 100 | #13133133 | — | 2 | 2 | no | — |
| 101 | #13133133 | — | 2 | 1 | no | — |
| 102 | #13133131 | — | 2 | 2 | no | — |
| 103 | #13133129 | — | 2 | 2 | no | — |
| 104 | C2×#41×C53 | C23 | 1 | 1 | yes | characteristic |
| 105 | C22×Q8×C53 | C23 | 1 | 1 | yes | characteristic |
| 106 | #137×C53 | — | 4 | 1 | no | — |
| 107 | #137×C53 | — | 4 | 1 | no | — |
| 108 | C2×Q16×C53 | — | 2 | 1 | no | — |
| 109 | C2×SD16×C53 | — | 2 | 1 | no | — |
| 110 | C2×M16×C53 | C23 | 1 | 1 | yes | characteristic |
| 111 | C2×M16×C53 | C23 | 1 | 1 | yes | characteristic |
| 112 | C2×M16×C53 | C23 | 1 | 1 | yes | characteristic |
| 113 | C2×M16×C53 | C23 | 1 | 1 | yes | characteristic |
| 114 | #117×C53 | C23 | 1 | 1 | yes | characteristic |
| 115 | #108×C53 | — | 4 | 1 | no | — |
| 116 | #104×C53 | — | 4 | 1 | no | — |
| 117 | #103×C53 | — | 4 | 1 | no | — |
| 118 | #101×C53 | — | 2 | 1 | no | — |
| 119 | #101×C53 | — | 4 | 1 | no | — |
| 120 | #100×C53 | — | 2 | 1 | no | — |
| 121 | C23×D53 | — | 2 | 1 | no | — |
| 122 | C23×D53 | — | 2 | 2 | no | — |
| 123 | #41×C53 | — | 2 | 1 | no | — |
| 124 | #41×C53 | — | 2 | 1 | no | — |
| 125 | #41×C53 | — | 2 | 1 | no | — |
| 126 | #41×C53 | — | 2 | 1 | no | — |
| 127 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 128 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 129 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 130 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 131 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 132 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 133 | C2×Q8×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 134 | C2×D4×C53 | — | 2 | 1 | no | — |
| 135 | C2×D4×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 136 | C22×C4×C53 | — | 2 | 1 | no | — |
| 137 | C22×C4×C53 | — | 2 | 1 | no | — |
| 138 | C22×C4×C53 | C24 | 1 | 1 | yes | characteristic |
| 139 | C2×C22⋊D53 | — | 2 | 2 | no | — |
| 140 | C2×C22⋊D53 | #41 | 1 | 2 | yes | — |
| 141 | #11719949 | — | 4 | 2 | no | — |
| 142 | #11719949 | — | 4 | 2 | no | — |
| 143 | D4×D53 | — | 4 | 2 | no | — |
| 144 | D4×D53 | — | 4 | 2 | no | — |
| 145 | D4×D53 | — | 4 | 4 | no | — |
| 146 | D4×D53 | — | 4 | 4 | no | — |
| 147 | #11719945 | — | 2 | 1 | no | — |
| 148 | #11719945 | — | 2 | 1 | no | — |
| 149 | #11719945 | — | 2 | 1 | no | — |
| 150 | #11719945 | — | 2 | 1 | no | — |
| 151 | #11719945 | — | 4 | 2 | no | — |
| 152 | #11719945 | — | 4 | 2 | no | — |
| 153 | C2×D212 | — | 2 | 1 | no | — |
| 154 | C2×D212 | — | 2 | 1 | no | — |
| 155 | C2×D212 | — | 2 | 1 | no | — |
| 156 | C2×D212 | — | 2 | 1 | no | — |
| 157 | C2×D212 | — | 2 | 2 | no | — |
| 158 | C2×D212 | — | 2 | 1 | no | — |
| 159 | C2×D212 | — | 4 | 2 | no | — |
| 160 | C2×D212 | — | 4 | 2 | no | — |
| 161 | C2×D212 | C2×D4 | 1 | 2 | yes | — |
| 162 | C2×D212 | #41 | 1 | 1 | yes | characteristic |
| 163 | C2×C4×D53 | — | 2 | 2 | no | — |
| 164 | C2×C4×D53 | C2×D4 | 1 | 2 | yes | — |
| 165 | C2×Dic106 | #41 | 1 | 1 | yes | characteristic |
| 166 | Q16×C53 | — | 4 | 2 | no | — |
| 167 | SD16×C53 | — | 4 | 2 | no | — |
| 168 | M16×C53 | — | 2 | 1 | no | — |
| 169 | M16×C53 | — | 2 | 1 | no | — |
| 170 | M16×C53 | — | 2 | 1 | no | — |
| 171 | M16×C53 | — | 2 | 1 | no | — |
| 172 | M16×C53 | — | 2 | 1 | no | — |
| 173 | M16×C53 | — | 2 | 1 | no | — |
| 174 | M16×C53 | — | 2 | 1 | no | — |
| 175 | M16×C53 | — | 2 | 1 | no | — |
| 176 | C2×C8×C53 | — | 2 | 1 | no | — |
| 177 | C2×C8×C53 | — | 2 | 1 | no | — |
| 178 | C2×C8×C53 | — | 2 | 1 | no | — |
| 179 | C2×C8×C53 | — | 2 | 1 | no | — |
| 180 | C4⋊C4×C53 | — | 2 | 1 | no | — |
| 181 | C22⋊C4×C53 | — | 2 | 1 | no | — |
| 182 | C42×C53 | — | 2 | 1 | no | — |
| 183 | C22⋊Dic53 | — | 2 | 1 | no | — |
| 184 | C22⋊Dic53 | — | 2 | 1 | no | — |
| 185 | #11719924 | — | 4 | 4 | no | — |
| 186 | #11719921 | — | 4 | 2 | no | — |
| 187 | C4⋊Dic53 | — | 2 | 1 | no | — |
| 188 | C4⋊Dic53 | — | 2 | 1 | no | — |
| 189 | #11719919 | — | 4 | 2 | no | — |
| 190 | C4×Dic53 | — | 2 | 1 | no | — |
| 191 | C4×Dic53 | — | 2 | 1 | no | — |
| 192 | #11719917 | — | 2 | 1 | no | — |
| 193 | #11719917 | — | 2 | 1 | no | — |
| 194 | #11719917 | — | 2 | 1 | no | — |
| 195 | #11719917 | — | 2 | 1 | no | — |
| 196 | #11719917 | — | 2 | 1 | no | — |
| 197 | #11719917 | — | 2 | 1 | no | — |
| 198 | C2×#88322 | — | 2 | 1 | no | — |
| 199 | C2×#88322 | — | 2 | 1 | no | — |
| 200 | C2×#88322 | — | 2 | 1 | no | — |
| 201 | C2×#88322 | — | 2 | 1 | no | — |
| 202 | C2×#88322 | — | 2 | 1 | no | — |
| 203 | C2×#88322 | — | 2 | 1 | no | — |
| 204 | #11719912 | — | 4 | 2 | no | — |
| 205 | #11719912 | — | 4 | 2 | no | — |
| 206 | C8×D53 | — | 4 | 2 | no | — |
| 207 | C8×D53 | — | 4 | 2 | no | — |
| 208 | C23×C53 | — | 2 | 1 | no | — |
| 209 | C23×C53 | C2×#41 | 1 | 1 | yes | characteristic |
| 210 | C22×D53 | — | 2 | 2 | no | — |
| 211 | C22×D53 | — | 4 | 4 | no | — |
| 212 | C22×D53 | — | 4 | 1 | no | — |
| 213 | C22×D53 | — | 4 | 1 | no | — |
| 214 | C22×D53 | — | 16 | 2 | no | — |
| 215 | C22×D53 | — | 16 | 1 | no | — |
| 216 | C22×D53 | #123 | 1 | 2 | yes | — |
| 217 | Q8×C53 | — | 2 | 1 | no | — |
| 218 | Q8×C53 | — | 2 | 1 | no | — |
| 219 | Q8×C53 | — | 4 | 1 | no | — |
| 220 | Q8×C53 | — | 4 | 1 | no | — |
| 221 | Q8×C53 | — | 4 | 1 | no | — |
| 222 | Q8×C53 | — | 4 | 1 | no | — |
| 223 | D4×C53 | — | 2 | 1 | no | — |
| 224 | D4×C53 | — | 2 | 1 | no | — |
| 225 | D4×C53 | — | 4 | 1 | no | — |
| 226 | D4×C53 | — | 4 | 1 | no | — |
| 227 | C2×C4×C53 | — | 2 | 1 | no | — |
| 228 | C2×C4×C53 | — | 4 | 1 | no | — |
| 229 | C2×C4×C53 | — | 4 | 1 | no | — |
| 230 | C2×C4×C53 | — | 4 | 1 | no | — |
| 231 | C2×C4×C53 | — | 4 | 1 | no | — |
| 232 | C2×C4×C53 | — | 4 | 1 | no | — |
| 233 | C2×C4×C53 | — | 4 | 1 | no | — |
| 234 | C2×C4×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 235 | C2×C4×C53 | C2×#41 | 1 | 1 | yes | characteristic |
| 236 | C2×C4×C53 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 237 | C2×C4×C53 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 238 | C2×C4×C53 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 239 | C2×C4×C53 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 240 | C22⋊D53 | — | 2 | 2 | no | — |
| 241 | C22⋊D53 | — | 2 | 2 | no | — |
| 242 | C22⋊D53 | — | 4 | 4 | no | — |
| 243 | C2×Dic53 | — | 4 | 1 | no | — |
| 244 | C2×Dic53 | — | 4 | 1 | no | — |
| 245 | C2×Dic53 | #123 | 1 | 2 | yes | — |
| 246 | D212 | — | 2 | 2 | no | — |
| 247 | D212 | — | 2 | 2 | no | — |
| 248 | D212 | — | 2 | 1 | no | — |
| 249 | D212 | — | 2 | 1 | no | — |
| 250 | D212 | — | 4 | 4 | no | — |
| 251 | D212 | — | 4 | 1 | no | — |
| 252 | D212 | — | 4 | 1 | no | — |
| 253 | C4×D53 | — | 2 | 2 | no | — |
| 254 | C4×D53 | — | 2 | 2 | no | — |
| 255 | C4×D53 | — | 4 | 4 | no | — |
| 256 | Dic106 | — | 2 | 1 | no | — |
| 257 | Dic106 | — | 2 | 1 | no | — |
| 258 | C8×C53 | — | 4 | 1 | no | — |
| 259 | C8×C53 | — | 4 | 1 | no | — |
| 260 | C8×C53 | — | 4 | 1 | no | — |
| 261 | C8×C53 | — | 4 | 1 | no | — |
| 262 | #88322 | — | 4 | 1 | no | — |
| 263 | #88322 | — | 4 | 1 | no | — |
| 264 | #88322 | — | 4 | 1 | no | — |
| 265 | #88322 | — | 4 | 1 | no | — |
| 266 | #29903 | — | 53 | 1 | no | maximal, Sylow |
| 267 | C22×C53 | — | 4 | 1 | no | — |
| 268 | C22×C53 | — | 4 | 1 | no | — |
| 269 | C22×C53 | — | 8 | 1 | no | — |
| 270 | C22×C53 | C2×#123 | 1 | 1 | yes | characteristic |
| 271 | C22×C53 | #538 | 1 | 1 | yes | characteristic |
| 272 | C22×C53 | #538 | 1 | 1 | yes | characteristic |
| 273 | C2×D53 | — | 2 | 2 | no | — |
| 274 | C2×D53 | — | 4 | 2 | no | — |
| 275 | C2×D53 | — | 4 | 2 | no | — |
| 276 | C2×D53 | — | 8 | 2 | no | — |
| 277 | C2×D53 | — | 16 | 4 | no | — |
| 278 | C2×D53 | — | 16 | 1 | no | — |
| 279 | C2×D53 | — | 16 | 1 | no | — |
| 280 | C4×C53 | — | 4 | 1 | no | — |
| 281 | C4×C53 | — | 8 | 1 | no | — |
| 282 | C4×C53 | — | 8 | 1 | no | — |
| 283 | C4×C53 | #534 | 1 | 1 | yes | characteristic |
| 284 | C4×C53 | #534 | 1 | 1 | yes | characteristic |
| 285 | C4×C53 | #538 | 1 | 1 | yes | characteristic |
| 286 | C4×C53 | #538 | 1 | 1 | yes | characteristic |
| 287 | Dic53 | — | 2 | 2 | no | — |
| 288 | Dic53 | — | 8 | 1 | no | — |
| 289 | Dic53 | — | 8 | 1 | no | — |
| 290 | #3009 | — | 53 | 1 | no | — |
| 291 | #2888 | — | 53 | 1 | no | — |
| 292 | #2081 | — | 53 | 1 | no | — |
| 293 | #2081 | — | 53 | 1 | no | — |
| 294 | #2080 | — | 53 | 1 | no | — |
| 295 | #2080 | — | 53 | 1 | no | — |
| 296 | #2049 | — | 53 | 1 | no | — |
| 297 | #2049 | D53 | 1 | 1 | yes | characteristic, complemented |
| 298 | #2046 | — | 53 | 1 | no | — |
| 299 | #2046 | — | 53 | 1 | no | — |
| 300 | #1915 | — | 53 | 1 | no | — |
| 301 | #1909 | — | 53 | 1 | no | — |
| 302 | #1868 | — | 53 | 1 | no | — |
| 303 | #1858 | — | 53 | 1 | no | — |
| 304 | #1795 | — | 53 | 1 | no | — |
| 305 | C2×C53 | — | 2 | 1 | no | — |
| 306 | C2×C53 | — | 2 | 1 | no | — |
| 307 | C2×C53 | — | 2 | 1 | no | — |
| 308 | C2×C53 | — | 8 | 1 | no | — |
| 309 | C2×C53 | #2622 | 1 | 1 | yes | characteristic |
| 310 | D53 | — | 4 | 2 | no | — |
| 311 | D53 | — | 8 | 2 | no | — |
| 312 | C2×H(5,𝔽2) | — | 53 | 1 | no | — |
| 313 | C2×#137 | C2×D53 | 1 | 1 | yes | characteristic |
| 314 | C22×SD16 | — | 53 | 1 | no | — |
| 315 | #568 | — | 53 | 1 | no | — |
| 316 | #568 | — | 53 | 1 | no | — |
| 317 | #536 | — | 53 | 1 | no | — |
| 318 | #452 | — | 106 | 2 | no | — |
| 319 | #450 | — | 106 | 2 | no | — |
| 320 | #430 | — | 53 | 1 | no | — |
| 321 | #430 | C2×D53 | 1 | 1 | yes | characteristic, complemented |
| 322 | #424 | — | 53 | 1 | no | — |
| 323 | #424 | — | 53 | 1 | no | — |
| 324 | #421 | — | 53 | 1 | no | — |
| 325 | #421 | C2×D53 | 1 | 1 | yes | characteristic |
| 326 | #419 | — | 53 | 1 | no | — |
| 327 | #419 | C2×D53 | 1 | 1 | yes | characteristic, complemented |
| 328 | #418 | — | 53 | 1 | no | — |
| 329 | #418 | — | 53 | 1 | no | — |
| 330 | #418 | — | 53 | 1 | no | — |
| 331 | #416 | — | 53 | 1 | no | — |
| 332 | #413 | — | 53 | 1 | no | — |
| 333 | #413 | — | 53 | 1 | no | — |
| 334 | #413 | — | 106 | 2 | no | — |
| 335 | #413 | C2×D53 | 1 | 1 | yes | characteristic |
| 336 | C2×#101 | — | 53 | 1 | no | — |
| 337 | C2×#101 | C2×D53 | 1 | 1 | yes | characteristic, complemented |
| 338 | C2×#100 | — | 53 | 1 | no | — |
| 339 | C2×#100 | — | 53 | 1 | no | — |
| 340 | C2×#100 | — | 106 | 2 | no | — |
| 341 | #410 | — | 53 | 1 | no | — |
| 342 | #408 | — | 53 | 1 | no | — |
| 343 | #344 | — | 53 | 1 | no | — |
| 344 | #344 | — | 53 | 1 | no | — |
| 345 | #344 | — | 53 | 1 | no | — |
| 346 | #344 | C2×D53 | 1 | 1 | yes | characteristic, complemented |
| 347 | #341 | — | 53 | 1 | no | — |
| 348 | #341 | — | 53 | 1 | no | — |
| 349 | H(3,ℤ/4) | — | 53 | 1 | no | — |
| 350 | H(3,ℤ/4) | — | 53 | 1 | no | — |
| 351 | C53 | #29903 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 352 | H(5,𝔽2) | — | 212 | 1 | no | — |
| 353 | H(5,𝔽2) | — | 212 | 1 | no | — |
| 354 | H(5,𝔽2) | — | 212 | 1 | no | — |
| 355 | H(5,𝔽2) | — | 212 | 1 | no | — |
| 356 | C2×#41 | — | 53 | 1 | no | — |
| 357 | C2×#41 | — | 53 | 2 | no | — |
| 358 | C2×#41 | — | 106 | 1 | no | — |
| 359 | C2×#41 | C22×D53 | 1 | 1 | yes | characteristic |
| 360 | C22×Q8 | C22×D53 | 1 | 1 | yes | characteristic |
| 361 | C22×D4 | — | 53 | 2 | no | — |
| 362 | C22×D4 | — | 53 | 1 | no | — |
| 363 | C22×D4 | — | 106 | 1 | no | — |
| 364 | C22×D4 | — | 106 | 2 | no | — |
| 365 | #137 | — | 4 | 1 | no | — |
| 366 | #137 | — | 4 | 1 | no | — |
| 367 | C2×Q16 | — | 2 | 1 | no | — |
| 368 | C2×SD16 | — | 2 | 1 | no | — |
| 369 | C2×SD16 | — | 106 | 2 | no | — |
| 370 | C2×SD16 | — | 212 | 1 | no | — |
| 371 | C2×SD16 | — | 212 | 1 | no | — |
| 372 | #131 | — | 212 | 1 | no | — |
| 373 | #131 | — | 212 | 1 | no | — |
| 374 | #131 | — | 212 | 1 | no | — |
| 375 | #131 | — | 212 | 1 | no | — |
| 376 | C2×M16 | — | 53 | 1 | no | — |
| 377 | C2×M16 | — | 53 | 1 | no | — |
| 378 | C2×M16 | — | 53 | 1 | no | — |
| 379 | C2×M16 | — | 106 | 2 | no | — |
| 380 | C2×M16 | — | 106 | 2 | no | — |
| 381 | C2×M16 | C22×D53 | 1 | 1 | yes | characteristic |
| 382 | C2×M16 | C22×D53 | 1 | 1 | yes | characteristic |
| 383 | C2×M16 | C22×D53 | 1 | 1 | yes | characteristic |
| 384 | C2×M16 | C22×D53 | 1 | 1 | yes | characteristic |
| 385 | C22×C8 | — | 53 | 1 | no | — |
| 386 | C4⋊Q8 | — | 106 | 1 | no | — |
| 387 | #124 | — | 106 | 1 | no | — |
| 388 | #123 | — | 106 | 2 | no | — |
| 389 | C22⋊Q8 | — | 106 | 2 | no | — |
| 390 | #117 | — | 53 | 1 | no | — |
| 391 | #117 | — | 53 | 1 | no | — |
| 392 | #117 | C22×D53 | 1 | 1 | yes | characteristic |
| 393 | #108 | — | 4 | 1 | no | — |
| 394 | #108 | — | 212 | 1 | no | — |
| 395 | C4⋊C8 | — | 212 | 1 | no | — |
| 396 | C4⋊C8 | — | 212 | 1 | no | — |
| 397 | #104 | — | 4 | 1 | no | — |
| 398 | #104 | — | 212 | 1 | no | — |
| 399 | #103 | — | 4 | 1 | no | — |
| 400 | #103 | — | 106 | 1 | no | — |
| 401 | #103 | — | 212 | 1 | no | — |
| 402 | #102 | — | 106 | 2 | no | — |
| 403 | #102 | — | 106 | 1 | no | — |
| 404 | #102 | — | 212 | 1 | no | — |
| 405 | #102 | — | 212 | 1 | no | — |
| 406 | #101 | — | 2 | 1 | no | — |
| 407 | #101 | — | 4 | 1 | no | — |
| 408 | #101 | — | 106 | 1 | no | — |
| 409 | #101 | — | 106 | 1 | no | — |
| 410 | #101 | — | 212 | 1 | no | — |
| 411 | #100 | — | 2 | 1 | no | — |
| 412 | #100 | — | 106 | 2 | no | — |
| 413 | #100 | — | 106 | 2 | no | — |
| 414 | #100 | — | 106 | 1 | no | — |
| 415 | #100 | — | 106 | 1 | no | — |
| 416 | #99 | — | 106 | 2 | no | — |
| 417 | C22⋊C8 | — | 106 | 2 | no | — |
| 418 | C24 | — | 106 | 2 | no | — |
| 419 | C24 | — | 106 | 1 | no | — |
| 420 | #41 | — | 2 | 1 | no | — |
| 421 | #41 | — | 2 | 1 | no | — |
| 422 | #41 | — | 2 | 1 | no | — |
| 423 | #41 | — | 2 | 1 | no | — |
| 424 | #41 | — | 106 | 1 | no | — |
| 425 | #41 | — | 106 | 1 | no | — |
| 426 | #41 | — | 106 | 1 | no | — |
| 427 | #41 | — | 106 | 1 | no | — |
| 428 | #41 | — | 212 | 2 | no | — |
| 429 | #41 | — | 212 | 2 | no | — |
| 430 | #41 | — | 212 | 2 | no | — |
| 431 | #41 | — | 212 | 2 | no | — |
| 432 | C2×Q8 | — | 2 | 1 | no | — |
| 433 | C2×Q8 | — | 2 | 1 | no | — |
| 434 | C2×Q8 | — | 2 | 1 | no | — |
| 435 | C2×Q8 | — | 2 | 1 | no | — |
| 436 | C2×Q8 | — | 2 | 1 | no | — |
| 437 | C2×Q8 | — | 2 | 1 | no | — |
| 438 | C2×Q8 | — | 53 | 1 | no | — |
| 439 | C2×Q8 | D4×D53 | 1 | 1 | yes | characteristic |
| 440 | C2×D4 | — | 2 | 1 | no | — |
| 441 | C2×D4 | — | 53 | 2 | no | — |
| 442 | C2×D4 | — | 53 | 2 | no | — |
| 443 | C2×D4 | — | 53 | 1 | no | — |
| 444 | C2×D4 | — | 106 | 2 | no | — |
| 445 | C2×D4 | — | 106 | 2 | no | — |
| 446 | C2×D4 | — | 106 | 1 | no | — |
| 447 | C2×D4 | — | 106 | 1 | no | — |
| 448 | C2×D4 | — | 106 | 1 | no | — |
| 449 | C2×D4 | — | 106 | 1 | no | — |
| 450 | C2×D4 | — | 106 | 1 | no | — |
| 451 | C2×D4 | — | 212 | 2 | no | — |
| 452 | C2×D4 | — | 212 | 2 | no | — |
| 453 | C2×D4 | — | 212 | 2 | no | — |
| 454 | C2×D4 | — | 212 | 2 | no | — |
| 455 | C2×D4 | — | 212 | 4 | no | — |
| 456 | C2×D4 | — | 212 | 4 | no | — |
| 457 | C2×D4 | D4×D53 | 1 | 1 | yes | characteristic |
| 458 | C22×C4 | — | 2 | 1 | no | — |
| 459 | C22×C4 | — | 2 | 1 | no | — |
| 460 | C22×C4 | — | 53 | 2 | no | — |
| 461 | C22×C4 | — | 106 | 2 | no | — |
| 462 | C22×C4 | C23×D53 | 1 | 1 | yes | characteristic |
| 463 | Q16 | — | 4 | 2 | no | — |
| 464 | SD16 | — | 4 | 2 | no | — |
| 465 | SD16 | — | 212 | 4 | no | — |
| 466 | M16 | — | 2 | 1 | no | — |
| 467 | M16 | — | 2 | 1 | no | — |
| 468 | M16 | — | 2 | 1 | no | — |
| 469 | M16 | — | 2 | 1 | no | — |
| 470 | M16 | — | 2 | 1 | no | — |
| 471 | M16 | — | 2 | 1 | no | — |
| 472 | M16 | — | 2 | 1 | no | — |
| 473 | M16 | — | 2 | 1 | no | — |
| 474 | M16 | — | 106 | 1 | no | — |
| 475 | M16 | — | 106 | 1 | no | — |
| 476 | M16 | — | 106 | 1 | no | — |
| 477 | M16 | — | 106 | 1 | no | — |
| 478 | M16 | — | 106 | 1 | no | — |
| 479 | M16 | — | 106 | 1 | no | — |
| 480 | M16 | — | 212 | 2 | no | — |
| 481 | M16 | — | 212 | 2 | no | — |
| 482 | C2×C8 | — | 2 | 1 | no | — |
| 483 | C2×C8 | — | 2 | 1 | no | — |
| 484 | C2×C8 | — | 2 | 1 | no | — |
| 485 | C2×C8 | — | 2 | 1 | no | — |
| 486 | C2×C8 | — | 106 | 1 | no | — |
| 487 | C2×C8 | — | 106 | 1 | no | — |
| 488 | C2×C8 | — | 106 | 1 | no | — |
| 489 | C2×C8 | — | 106 | 1 | no | — |
| 490 | C2×C8 | — | 106 | 1 | no | — |
| 491 | C2×C8 | — | 106 | 1 | no | — |
| 492 | C2×C8 | — | 212 | 2 | no | — |
| 493 | C2×C8 | — | 212 | 2 | no | — |
| 494 | C4⋊C4 | — | 2 | 1 | no | — |
| 495 | C4⋊C4 | — | 106 | 1 | no | — |
| 496 | C4⋊C4 | — | 106 | 1 | no | — |
| 497 | C4⋊C4 | — | 212 | 2 | no | — |
| 498 | C22⋊C4 | — | 2 | 1 | no | — |
| 499 | C22⋊C4 | — | 106 | 1 | no | — |
| 500 | C22⋊C4 | — | 106 | 1 | no | — |
| 501 | C22⋊C4 | — | 212 | 2 | no | — |
| 502 | C42 | — | 2 | 1 | no | — |
| 503 | C42 | — | 106 | 1 | no | — |
| 504 | C42 | — | 106 | 1 | no | — |
| 505 | C23 | — | 2 | 1 | no | — |
| 506 | C23 | — | 53 | 2 | no | — |
| 507 | C23 | — | 848 | 1 | no | — |
| 508 | C23 | — | 848 | 2 | no | — |
| 509 | C23 | — | 106 | 2 | no | — |
| 510 | C23 | — | 212 | 4 | no | — |
| 511 | C23 | — | 212 | 1 | no | — |
| 512 | C23 | — | 212 | 1 | no | — |
| 513 | C23 | #41×D53 | 1 | 1 | yes | characteristic |
| 514 | Q8 | — | 2 | 1 | no | — |
| 515 | Q8 | — | 2 | 1 | no | — |
| 516 | Q8 | — | 4 | 1 | no | — |
| 517 | Q8 | — | 4 | 1 | no | — |
| 518 | Q8 | — | 4 | 1 | no | — |
| 519 | Q8 | — | 4 | 1 | no | — |
| 520 | Q8 | — | 106 | 1 | no | — |
| 521 | Q8 | — | 106 | 1 | no | — |
| 522 | D4 | — | 2 | 1 | no | — |
| 523 | D4 | — | 2 | 1 | no | — |
| 524 | D4 | — | 4 | 1 | no | — |
| 525 | D4 | — | 4 | 1 | no | — |
| 526 | D4 | — | 106 | 2 | no | — |
| 527 | D4 | — | 106 | 2 | no | — |
| 528 | D4 | — | 106 | 2 | no | — |
| 529 | D4 | — | 106 | 2 | no | — |
| 530 | D4 | — | 106 | 1 | no | — |
| 531 | D4 | — | 106 | 1 | no | — |
| 532 | D4 | — | 212 | 4 | no | — |
| 533 | D4 | — | 212 | 4 | no | — |
| 534 | D4 | — | 212 | 1 | no | — |
| 535 | D4 | — | 212 | 1 | no | — |
| 536 | C2×C4 | — | 2 | 1 | no | — |
| 537 | C2×C4 | — | 4 | 1 | no | — |
| 538 | C2×C4 | — | 4 | 1 | no | — |
| 539 | C2×C4 | — | 4 | 1 | no | — |
| 540 | C2×C4 | — | 4 | 1 | no | — |
| 541 | C2×C4 | — | 4 | 1 | no | — |
| 542 | C2×C4 | — | 4 | 1 | no | — |
| 543 | C2×C4 | — | 53 | 2 | no | — |
| 544 | C2×C4 | — | 106 | 2 | no | — |
| 545 | C2×C4 | — | 106 | 2 | no | — |
| 546 | C2×C4 | — | 212 | 4 | no | — |
| 547 | C2×C4 | — | 212 | 1 | no | — |
| 548 | C2×C4 | — | 212 | 1 | no | — |
| 549 | C2×C4 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 550 | C2×C4 | #41×D53 | 1 | 1 | yes | characteristic |
| 551 | C2×C4 | #13133262 | 1 | 1 | yes | characteristic |
| 552 | C2×C4 | #13133262 | 1 | 1 | yes | characteristic |
| 553 | C2×C4 | #13133262 | 1 | 1 | yes | characteristic |
| 554 | C2×C4 | #13133263 | 1 | 1 | yes | characteristic |
| 555 | C8 | — | 4 | 1 | no | — |
| 556 | C8 | — | 4 | 1 | no | — |
| 557 | C8 | — | 4 | 1 | no | — |
| 558 | C8 | — | 4 | 1 | no | — |
| 559 | C8 | — | 212 | 1 | no | — |
| 560 | C8 | — | 212 | 1 | no | — |
| 561 | C8 | — | 212 | 1 | no | — |
| 562 | C8 | — | 212 | 1 | no | — |
| 563 | C22 | — | 4 | 1 | no | — |
| 564 | C22 | — | 4 | 1 | no | — |
| 565 | C22 | — | 8 | 1 | no | — |
| 566 | C22 | — | 848 | 1 | no | — |
| 567 | C22 | — | 848 | 1 | no | — |
| 568 | C22 | — | 848 | 4 | no | — |
| 569 | C22 | — | 106 | 2 | no | — |
| 570 | C22 | — | 424 | 2 | no | — |
| 571 | C22 | — | 212 | 2 | no | — |
| 572 | C22 | — | 212 | 2 | no | — |
| 573 | C22 | #123×D53 | 1 | 1 | yes | characteristic |
| 574 | C22 | #16811205 | 1 | 1 | yes | characteristic |
| 575 | C22 | #16811207 | 1 | 1 | yes | characteristic |
| 576 | C4 | — | 4 | 1 | no | — |
| 577 | C4 | — | 8 | 1 | no | — |
| 578 | C4 | — | 8 | 1 | no | — |
| 579 | C4 | — | 106 | 2 | no | — |
| 580 | C4 | — | 424 | 1 | no | — |
| 581 | C4 | — | 424 | 1 | no | — |
| 582 | C4 | #16811181 | 1 | 1 | yes | characteristic |
| 583 | C4 | #16811183 | 1 | 1 | yes | characteristic |
| 584 | C4 | #16811205 | 1 | 1 | yes | characteristic |
| 585 | C4 | #16811209 | 1 | 1 | yes | characteristic |
| 586 | C2 | — | 2 | 1 | no | — |
| 587 | C2 | — | 2 | 1 | no | — |
| 588 | C2 | — | 2 | 1 | no | — |
| 589 | C2 | — | 8 | 1 | no | — |
| 590 | C2 | — | 424 | 2 | no | — |
| 591 | C2 | — | 212 | 2 | no | — |
| 592 | C2 | #20280487 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta