| 1 | C2×#16811437 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C22×#13133161 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×#16810890 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #20276676 | C2 | 1 | 8 | yes | maximal, direct product factor |
| 5 | C2×#16810440 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C2×#16810430 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C2×#16810408 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C2×C53×#509 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | C2×#13133264 | — | 2 | 1 | no | — |
| 10 | #16811437 | — | 2 | 2 | no | — |
| 11 | #16811437 | — | 2 | 2 | no | — |
| 12 | #16811437 | — | 2 | 2 | no | — |
| 13 | #16811437 | C22 | 1 | 4 | yes | complemented |
| 14 | C2×#13133247 | — | 2 | 1 | no | — |
| 15 | C2×#13133246 | — | 2 | 2 | no | — |
| 16 | C2×#13133243 | — | 2 | 1 | no | — |
| 17 | C2×#13133236 | — | 2 | 1 | no | — |
| 18 | C22×Dic212 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×Q16×D53 | — | 2 | 1 | no | — |
| 20 | C2×#13133223 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×#13133161 | — | 2 | 2 | no | — |
| 22 | C2×#13133161 | — | 2 | 2 | no | — |
| 23 | C2×#13133161 | C22 | 1 | 4 | yes | complemented |
| 24 | C22×#11719908 | C22 | 1 | 1 | yes | characteristic |
| 25 | #16810890 | — | 2 | 2 | no | — |
| 26 | #16810890 | C22 | 1 | 4 | yes | complemented |
| 27 | C2×#13133153 | C22 | 1 | 1 | yes | characteristic |
| 28 | C2×#13133134 | — | 2 | 1 | no | — |
| 29 | #16810440 | C22 | 1 | 4 | yes | complemented |
| 30 | #16810430 | C22 | 1 | 4 | yes | complemented |
| 31 | #16810408 | C22 | 1 | 4 | yes | complemented |
| 32 | C2×#135×C53 | C22 | 1 | 1 | yes | characteristic |
| 33 | C22×D8×C53 | C22 | 1 | 1 | yes | characteristic |
| 34 | C53×#509 | — | 2 | 2 | no | — |
| 35 | C53×#509 | C22 | 1 | 4 | yes | complemented |
| 36 | C2×SD32×C53 | — | 2 | 1 | no | — |
| 37 | C2×D16×C53 | — | 2 | 1 | no | — |
| 38 | C2×M32×C53 | C22 | 1 | 1 | yes | characteristic |
| 39 | #13133264 | — | 2 | 4 | no | — |
| 40 | #13133264 | — | 2 | 4 | no | — |
| 41 | #13133264 | — | 4 | 2 | no | — |
| 42 | #13133264 | — | 4 | 2 | no | — |
| 43 | C2×#11719945 | — | 4 | 1 | no | — |
| 44 | C2×#11719945 | D4 | 1 | 1 | yes | characteristic |
| 45 | C2×#11719947 | — | 2 | 2 | no | — |
| 46 | C2×#11719947 | — | 4 | 2 | no | — |
| 47 | C22×Dic106 | — | 2 | 1 | no | — |
| 48 | C22×Dic106 | — | 4 | 1 | no | — |
| 49 | C2×Q8×D53 | — | 2 | 2 | no | — |
| 50 | #13133247 | — | 2 | 4 | no | — |
| 51 | #13133247 | — | 2 | 4 | no | — |
| 52 | #13133246 | — | 2 | 8 | no | — |
| 53 | #13133246 | — | 2 | 8 | no | — |
| 54 | #13133243 | — | 2 | 4 | no | — |
| 55 | #13133243 | — | 4 | 2 | no | — |
| 56 | #13133236 | — | 2 | 4 | no | — |
| 57 | #13133236 | — | 2 | 4 | no | — |
| 58 | C2×Dic212 | — | 2 | 1 | no | — |
| 59 | C2×Dic212 | — | 2 | 1 | no | — |
| 60 | C2×Dic212 | — | 2 | 1 | no | — |
| 61 | C2×Dic212 | D4 | 1 | 2 | yes | — |
| 62 | C2×Dic212 | D4 | 1 | 2 | yes | — |
| 63 | C2×Dic212 | C23 | 1 | 2 | yes | — |
| 64 | C2×#11719925 | — | 2 | 2 | no | — |
| 65 | Q16×D53 | — | 2 | 4 | no | — |
| 66 | Q16×D53 | — | 2 | 4 | no | — |
| 67 | C2×#11719923 | — | 2 | 2 | no | — |
| 68 | C2×#11719923 | — | 4 | 1 | no | — |
| 69 | C2×#11719922 | — | 4 | 1 | no | — |
| 70 | #13133223 | — | 2 | 1 | no | — |
| 71 | #13133223 | — | 2 | 1 | no | — |
| 72 | #13133223 | D4 | 1 | 2 | yes | — |
| 73 | #13133223 | C23 | 1 | 2 | yes | — |
| 74 | C2×#11719917 | — | 2 | 1 | no | — |
| 75 | C2×#11719917 | D4 | 1 | 1 | yes | characteristic |
| 76 | C2×#11719912 | — | 2 | 1 | no | — |
| 77 | C2×C8×D53 | — | 2 | 1 | no | — |
| 78 | #13133161 | — | 2 | 8 | no | — |
| 79 | C2×#11719908 | — | 2 | 1 | no | — |
| 80 | C2×#11719908 | — | 2 | 1 | no | — |
| 81 | C2×#11719908 | C23 | 1 | 2 | yes | — |
| 82 | #13133153 | — | 2 | 1 | no | — |
| 83 | #13133153 | C23 | 1 | 2 | yes | — |
| 84 | #13133134 | — | 2 | 4 | no | — |
| 85 | C2×#41×C53 | — | 2 | 1 | no | — |
| 86 | C22×D4×C53 | — | 2 | 1 | no | — |
| 87 | #135×C53 | — | 2 | 1 | no | — |
| 88 | #135×C53 | — | 2 | 1 | no | — |
| 89 | #135×C53 | D4 | 1 | 2 | yes | — |
| 90 | #135×C53 | C23 | 1 | 2 | yes | — |
| 91 | C2×Q16×C53 | D4 | 1 | 1 | yes | characteristic |
| 92 | C2×SD16×C53 | — | 2 | 1 | no | — |
| 93 | C2×D8×C53 | — | 2 | 1 | no | — |
| 94 | C2×D8×C53 | — | 2 | 1 | no | — |
| 95 | C2×D8×C53 | — | 2 | 1 | no | — |
| 96 | C2×D8×C53 | — | 2 | 1 | no | — |
| 97 | C2×D8×C53 | — | 2 | 1 | no | — |
| 98 | C2×D8×C53 | D4 | 1 | 1 | yes | characteristic |
| 99 | C2×D8×C53 | C23 | 1 | 2 | yes | — |
| 100 | C22×C8×C53 | C23 | 1 | 1 | yes | characteristic |
| 101 | SD32×C53 | — | 2 | 4 | no | — |
| 102 | D16×C53 | — | 2 | 4 | no | — |
| 103 | M32×C53 | — | 2 | 1 | no | — |
| 104 | M32×C53 | C23 | 1 | 2 | yes | — |
| 105 | C2×C16×C53 | — | 2 | 1 | no | — |
| 106 | C24×C53 | — | 4 | 1 | no | — |
| 107 | #41×C53 | — | 2 | 2 | no | — |
| 108 | #41×C53 | — | 2 | 2 | no | — |
| 109 | #41×C53 | — | 4 | 1 | no | — |
| 110 | #41×C53 | — | 4 | 1 | no | — |
| 111 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 112 | C2×D4×C53 | — | 2 | 1 | no | — |
| 113 | C2×D4×C53 | — | 2 | 2 | no | — |
| 114 | C2×D4×C53 | — | 4 | 1 | no | — |
| 115 | C2×D4×C53 | — | 4 | 1 | no | — |
| 116 | C2×D4×C53 | — | 4 | 1 | no | — |
| 117 | C2×D4×C53 | — | 4 | 1 | no | — |
| 118 | C2×D4×C53 | — | 4 | 1 | no | — |
| 119 | C2×D4×C53 | — | 4 | 1 | no | — |
| 120 | C22×C4×C53 | — | 4 | 1 | no | — |
| 121 | C22×C4×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 122 | C2×C22⋊D53 | — | 2 | 1 | no | — |
| 123 | C2×C22⋊D53 | — | 4 | 2 | no | — |
| 124 | C22×Dic53 | — | 4 | 2 | no | — |
| 125 | C22×Dic53 | — | 4 | 1 | no | — |
| 126 | Q8×D53 | — | 2 | 8 | no | — |
| 127 | Q8×D53 | — | 4 | 4 | no | — |
| 128 | #11719947 | — | 2 | 8 | no | — |
| 129 | #11719947 | — | 4 | 4 | no | — |
| 130 | #11719947 | — | 4 | 8 | no | — |
| 131 | #11719947 | — | 4 | 8 | no | — |
| 132 | #11719945 | — | 2 | 1 | no | — |
| 133 | #11719945 | — | 2 | 1 | no | — |
| 134 | #11719945 | — | 4 | 4 | no | — |
| 135 | #11719945 | — | 4 | 4 | no | — |
| 136 | #11719945 | D8 | 1 | 2 | yes | — |
| 137 | #11719945 | C2×D4 | 1 | 2 | yes | — |
| 138 | C2×D212 | D8 | 1 | 1 | yes | characteristic |
| 139 | C2×C4×D53 | — | 2 | 1 | no | — |
| 140 | C2×C4×D53 | — | 4 | 2 | no | — |
| 141 | C2×Dic106 | — | 2 | 2 | no | — |
| 142 | C2×Dic106 | — | 2 | 2 | no | — |
| 143 | C2×Dic106 | — | 2 | 2 | no | — |
| 144 | C2×Dic106 | — | 4 | 4 | no | — |
| 145 | C2×Dic106 | — | 4 | 2 | no | — |
| 146 | C2×Dic106 | — | 4 | 1 | no | — |
| 147 | C2×Dic106 | — | 4 | 1 | no | — |
| 148 | C2×Dic106 | — | 4 | 1 | no | — |
| 149 | C2×Dic106 | — | 4 | 4 | no | — |
| 150 | C2×Dic106 | D8 | 1 | 1 | yes | characteristic |
| 151 | Q16×C53 | — | 2 | 1 | no | — |
| 152 | Q16×C53 | C2×D4 | 1 | 2 | yes | — |
| 153 | SD16×C53 | — | 2 | 2 | no | — |
| 154 | SD16×C53 | — | 2 | 2 | no | — |
| 155 | D8×C53 | — | 2 | 1 | no | — |
| 156 | D8×C53 | — | 2 | 2 | no | — |
| 157 | D8×C53 | — | 2 | 2 | no | — |
| 158 | D8×C53 | — | 4 | 1 | no | — |
| 159 | D8×C53 | — | 4 | 1 | no | — |
| 160 | D8×C53 | C2×D4 | 1 | 2 | yes | — |
| 161 | C2×C8×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 162 | C2×C8×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 163 | C2×C8×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 164 | C2×C8×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 165 | C2×C8×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 166 | C2×C8×C53 | C24 | 1 | 1 | yes | characteristic |
| 167 | #11719925 | — | 2 | 8 | no | — |
| 168 | #11719923 | — | 2 | 8 | no | — |
| 169 | #11719923 | — | 4 | 4 | no | — |
| 170 | #11719922 | — | 4 | 4 | no | — |
| 171 | #11719917 | — | 2 | 1 | no | — |
| 172 | #11719917 | — | 2 | 2 | no | — |
| 173 | #11719917 | — | 4 | 1 | no | — |
| 174 | #11719917 | C2×D4 | 1 | 2 | yes | — |
| 175 | C2×#88322 | — | 2 | 1 | no | — |
| 176 | C2×#88322 | — | 4 | 1 | no | — |
| 177 | Dic212 | — | 2 | 2 | no | — |
| 178 | Dic212 | — | 2 | 2 | no | — |
| 179 | Dic212 | — | 2 | 2 | no | — |
| 180 | Dic212 | C2×D4 | 1 | 4 | yes | — |
| 181 | #11719912 | — | 2 | 2 | no | — |
| 182 | #11719912 | — | 2 | 2 | no | — |
| 183 | C8×D53 | — | 2 | 2 | no | — |
| 184 | C8×D53 | — | 2 | 2 | no | — |
| 185 | C16×C53 | — | 2 | 2 | no | — |
| 186 | #11719908 | — | 2 | 2 | no | — |
| 187 | C23×C53 | — | 4 | 1 | no | — |
| 188 | C23×C53 | — | 4 | 2 | no | — |
| 189 | C23×C53 | — | 8 | 1 | no | — |
| 190 | C23×C53 | — | 8 | 1 | no | — |
| 191 | C23×C53 | — | 16 | 2 | no | — |
| 192 | C23×C53 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 193 | C22×D53 | — | 2 | 1 | no | — |
| 194 | Q8×C53 | — | 2 | 2 | no | — |
| 195 | Q8×C53 | — | 4 | 1 | no | — |
| 196 | D4×C53 | — | 2 | 2 | no | — |
| 197 | D4×C53 | — | 4 | 2 | no | — |
| 198 | D4×C53 | — | 4 | 2 | no | — |
| 199 | D4×C53 | — | 4 | 2 | no | — |
| 200 | D4×C53 | — | 4 | 2 | no | — |
| 201 | D4×C53 | — | 4 | 1 | no | — |
| 202 | D4×C53 | — | 8 | 1 | no | — |
| 203 | D4×C53 | — | 8 | 1 | no | — |
| 204 | C2×C4×C53 | — | 4 | 1 | no | — |
| 205 | C2×C4×C53 | — | 4 | 2 | no | — |
| 206 | C2×C4×C53 | — | 4 | 2 | no | — |
| 207 | C2×C4×C53 | #120 | 1 | 1 | yes | characteristic |
| 208 | C2×C4×C53 | #120 | 1 | 1 | yes | characteristic |
| 209 | C2×C4×C53 | C2×D8 | 1 | 1 | yes | characteristic |
| 210 | C2×C4×C53 | C2×D8 | 1 | 1 | yes | characteristic |
| 211 | C2×C4×C53 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 212 | C2×C4×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 213 | C22⋊D53 | — | 2 | 2 | no | — |
| 214 | C22⋊D53 | — | 2 | 2 | no | — |
| 215 | C22⋊D53 | — | 4 | 8 | no | — |
| 216 | C2×Dic53 | — | 2 | 1 | no | — |
| 217 | C2×Dic53 | — | 4 | 8 | no | — |
| 218 | C2×Dic53 | — | 4 | 2 | no | — |
| 219 | C2×Dic53 | — | 4 | 2 | no | — |
| 220 | C2×Dic53 | — | 4 | 2 | no | — |
| 221 | D212 | — | 2 | 1 | no | — |
| 222 | D212 | C2×D8 | 1 | 2 | yes | — |
| 223 | C4×D53 | — | 2 | 2 | no | — |
| 224 | C4×D53 | — | 2 | 2 | no | — |
| 225 | C4×D53 | — | 4 | 8 | no | — |
| 226 | Dic106 | — | 2 | 1 | no | — |
| 227 | Dic106 | — | 2 | 4 | no | — |
| 228 | Dic106 | — | 4 | 8 | no | — |
| 229 | Dic106 | — | 4 | 2 | no | — |
| 230 | Dic106 | — | 4 | 2 | no | — |
| 231 | Dic106 | — | 4 | 2 | no | — |
| 232 | Dic106 | C2×D8 | 1 | 2 | yes | — |
| 233 | C8×C53 | #120 | 1 | 1 | yes | characteristic |
| 234 | C8×C53 | #120 | 1 | 1 | yes | characteristic |
| 235 | C8×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 236 | C8×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 237 | #88322 | — | 2 | 2 | no | — |
| 238 | #88322 | — | 4 | 2 | no | — |
| 239 | C2×#2193 | — | 53 | 1 | no | maximal, Sylow |
| 240 | C22×C53 | — | 2 | 2 | no | — |
| 241 | C22×C53 | — | 4 | 2 | no | — |
| 242 | C22×C53 | — | 8 | 2 | no | — |
| 243 | C22×C53 | — | 8 | 2 | no | — |
| 244 | C22×C53 | — | 16 | 2 | no | — |
| 245 | C22×C53 | — | 16 | 2 | no | — |
| 246 | C22×C53 | — | 16 | 2 | no | — |
| 247 | C22×C53 | #447 | 1 | 1 | yes | characteristic |
| 248 | C22×C53 | #447 | 1 | 1 | yes | characteristic |
| 249 | C22×C53 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 250 | C2×D53 | — | 2 | 2 | no | — |
| 251 | C2×D53 | — | 4 | 2 | no | — |
| 252 | C4×C53 | — | 4 | 2 | no | — |
| 253 | C4×C53 | #447 | 1 | 1 | yes | characteristic |
| 254 | C4×C53 | #447 | 1 | 1 | yes | characteristic |
| 255 | C4×C53 | C2×#120 | 1 | 1 | yes | characteristic |
| 256 | C4×C53 | C22×D8 | 1 | 1 | yes | characteristic |
| 257 | Dic53 | — | 2 | 2 | no | — |
| 258 | Dic53 | — | 4 | 4 | no | — |
| 259 | C2×#578 | — | 53 | 1 | no | — |
| 260 | C2×#509 | D53 | 1 | 1 | yes | characteristic, complemented |
| 261 | C22×SD32 | — | 53 | 1 | no | — |
| 262 | C2×#472 | — | 53 | 1 | no | — |
| 263 | #2193 | — | 53 | 8 | no | — |
| 264 | C2×#362 | — | 53 | 1 | no | — |
| 265 | C2×#359 | — | 53 | 1 | no | — |
| 266 | C2×#350 | — | 53 | 1 | no | — |
| 267 | C2×C53 | — | 2 | 1 | no | — |
| 268 | C2×C53 | — | 2 | 1 | no | — |
| 269 | C2×C53 | — | 8 | 2 | no | — |
| 270 | C2×C53 | — | 16 | 2 | no | — |
| 271 | C2×C53 | #2193 | 1 | 2 | yes | complemented |
| 272 | C2×C53 | C2×#447 | 1 | 1 | yes | characteristic |
| 273 | D53 | — | 4 | 2 | no | — |
| 274 | C2×2−1+4 | — | 106 | 1 | no | — |
| 275 | #578 | — | 53 | 4 | no | — |
| 276 | #578 | — | 106 | 2 | no | — |
| 277 | #578 | — | 106 | 2 | no | — |
| 278 | #578 | — | 106 | 2 | no | — |
| 279 | C2×#137 | — | 106 | 1 | no | — |
| 280 | C2×#137 | — | 106 | 2 | no | — |
| 281 | C2×AGL(1,ℤ/8) | — | 106 | 1 | no | — |
| 282 | C2×#135 | — | 106 | 1 | no | — |
| 283 | C2×#135 | C2×D53 | 1 | 1 | yes | characteristic |
| 284 | C22×Q16 | — | 53 | 1 | no | — |
| 285 | C22×Q16 | — | 106 | 1 | no | — |
| 286 | C22×D8 | C2×D53 | 1 | 1 | yes | characteristic |
| 287 | C2×#131 | — | 53 | 1 | no | — |
| 288 | #509 | — | 2 | 2 | no | — |
| 289 | #509 | C2×D53 | 1 | 4 | yes | complemented |
| 290 | C2×SD32 | — | 2 | 1 | no | — |
| 291 | C2×SD32 | — | 53 | 4 | no | — |
| 292 | C2×SD32 | — | 106 | 2 | no | — |
| 293 | C2×SD32 | — | 106 | 2 | no | — |
| 294 | C2×D16 | — | 2 | 1 | no | — |
| 295 | C2×M32 | C2×D53 | 1 | 1 | yes | characteristic |
| 296 | C22×C16 | — | 53 | 1 | no | — |
| 297 | #472 | — | 53 | 4 | no | — |
| 298 | #472 | — | 106 | 2 | no | — |
| 299 | C2×#108 | — | 53 | 1 | no | — |
| 300 | C2×#100 | — | 106 | 1 | no | — |
| 301 | #362 | — | 53 | 4 | no | — |
| 302 | #359 | — | 53 | 4 | no | — |
| 303 | #350 | — | 53 | 4 | no | — |
| 304 | C53 | C2×#2193 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 305 | 2−1+4 | — | 106 | 4 | no | — |
| 306 | 2−1+4 | — | 106 | 4 | no | — |
| 307 | 2−1+4 | — | 212 | 2 | no | — |
| 308 | 2−1+4 | — | 212 | 2 | no | — |
| 309 | C2×#41 | — | 2 | 1 | no | — |
| 310 | C2×#41 | — | 53 | 1 | no | — |
| 311 | C2×#41 | — | 106 | 2 | no | — |
| 312 | C2×#41 | — | 212 | 1 | no | — |
| 313 | C2×#41 | — | 212 | 2 | no | — |
| 314 | C22×Q8 | — | 106 | 2 | no | — |
| 315 | C22×Q8 | — | 106 | 1 | no | — |
| 316 | C22×Q8 | — | 212 | 1 | no | — |
| 317 | C22×D4 | — | 2 | 1 | no | — |
| 318 | #137 | — | 106 | 4 | no | — |
| 319 | #137 | — | 106 | 8 | no | — |
| 320 | #137 | — | 106 | 8 | no | — |
| 321 | #137 | — | 106 | 4 | no | — |
| 322 | AGL(1,ℤ/8) | — | 106 | 4 | no | — |
| 323 | AGL(1,ℤ/8) | — | 212 | 2 | no | — |
| 324 | #135 | — | 2 | 1 | no | — |
| 325 | #135 | — | 2 | 1 | no | — |
| 326 | #135 | — | 106 | 4 | no | — |
| 327 | #135 | — | 106 | 4 | no | — |
| 328 | #135 | C22⋊D53 | 1 | 2 | yes | — |
| 329 | #135 | C22×D53 | 1 | 2 | yes | — |
| 330 | C2×Q16 | — | 53 | 2 | no | — |
| 331 | C2×Q16 | — | 53 | 2 | no | — |
| 332 | C2×Q16 | — | 53 | 2 | no | — |
| 333 | C2×Q16 | — | 106 | 4 | no | — |
| 334 | C2×Q16 | — | 106 | 2 | no | — |
| 335 | C2×Q16 | — | 106 | 4 | no | — |
| 336 | C2×Q16 | — | 106 | 1 | no | — |
| 337 | C2×Q16 | — | 106 | 1 | no | — |
| 338 | C2×Q16 | — | 106 | 1 | no | — |
| 339 | C2×Q16 | C22⋊D53 | 1 | 1 | yes | characteristic |
| 340 | C2×SD16 | — | 2 | 1 | no | — |
| 341 | C2×SD16 | — | 106 | 2 | no | — |
| 342 | C2×SD16 | — | 212 | 1 | no | — |
| 343 | C2×D8 | — | 2 | 1 | no | — |
| 344 | C2×D8 | — | 2 | 1 | no | — |
| 345 | C2×D8 | — | 2 | 1 | no | — |
| 346 | C2×D8 | — | 2 | 1 | no | — |
| 347 | C2×D8 | — | 2 | 1 | no | — |
| 348 | C2×D8 | — | 212 | 1 | no | — |
| 349 | C2×D8 | C22⋊D53 | 1 | 1 | yes | characteristic |
| 350 | C2×D8 | C22×D53 | 1 | 2 | yes | — |
| 351 | #131 | — | 53 | 2 | no | — |
| 352 | #131 | — | 53 | 2 | no | — |
| 353 | #131 | — | 106 | 1 | no | — |
| 354 | #131 | — | 106 | 1 | no | — |
| 355 | C2×M16 | — | 53 | 1 | no | — |
| 356 | C2×M16 | — | 106 | 1 | no | — |
| 357 | C2×M16 | — | 106 | 1 | no | — |
| 358 | C22×C8 | — | 106 | 1 | no | — |
| 359 | C22×C8 | C22×D53 | 1 | 1 | yes | characteristic |
| 360 | SD32 | — | 2 | 4 | no | — |
| 361 | SD32 | — | 106 | 8 | no | — |
| 362 | D16 | — | 2 | 4 | no | — |
| 363 | M32 | — | 2 | 1 | no | — |
| 364 | M32 | C22×D53 | 1 | 2 | yes | — |
| 365 | C2×C16 | — | 2 | 1 | no | — |
| 366 | C2×C16 | — | 53 | 2 | no | — |
| 367 | C2×C16 | — | 106 | 1 | no | — |
| 368 | C2×C16 | — | 106 | 1 | no | — |
| 369 | #108 | — | 53 | 2 | no | — |
| 370 | #108 | — | 106 | 1 | no | — |
| 371 | #100 | — | 106 | 4 | no | — |
| 372 | C24 | — | 4 | 1 | no | — |
| 373 | #41 | — | 2 | 2 | no | — |
| 374 | #41 | — | 2 | 2 | no | — |
| 375 | #41 | — | 4 | 1 | no | — |
| 376 | #41 | — | 4 | 1 | no | — |
| 377 | #41 | — | 53 | 2 | no | — |
| 378 | #41 | — | 53 | 2 | no | — |
| 379 | #41 | — | 106 | 1 | no | — |
| 380 | #41 | — | 106 | 1 | no | — |
| 381 | #41 | — | 106 | 8 | no | — |
| 382 | #41 | — | 212 | 4 | no | — |
| 383 | #41 | — | 212 | 4 | no | — |
| 384 | #41 | — | 212 | 4 | no | — |
| 385 | #41 | — | 212 | 8 | no | — |
| 386 | #41 | — | 212 | 8 | no | — |
| 387 | C2×Q8 | — | 2 | 1 | no | — |
| 388 | C2×Q8 | — | 53 | 1 | no | — |
| 389 | C2×Q8 | — | 106 | 8 | no | — |
| 390 | C2×Q8 | — | 106 | 2 | no | — |
| 391 | C2×Q8 | — | 106 | 2 | no | — |
| 392 | C2×Q8 | — | 106 | 2 | no | — |
| 393 | C2×Q8 | — | 212 | 2 | no | — |
| 394 | C2×Q8 | — | 212 | 4 | no | — |
| 395 | C2×Q8 | — | 212 | 4 | no | — |
| 396 | C2×Q8 | — | 212 | 4 | no | — |
| 397 | C2×Q8 | — | 212 | 1 | no | — |
| 398 | C2×Q8 | — | 212 | 1 | no | — |
| 399 | C2×Q8 | — | 212 | 1 | no | — |
| 400 | C2×D4 | — | 2 | 1 | no | — |
| 401 | C2×D4 | — | 2 | 2 | no | — |
| 402 | C2×D4 | — | 4 | 1 | no | — |
| 403 | C2×D4 | — | 4 | 1 | no | — |
| 404 | C2×D4 | — | 4 | 1 | no | — |
| 405 | C2×D4 | — | 4 | 1 | no | — |
| 406 | C2×D4 | — | 4 | 1 | no | — |
| 407 | C2×D4 | — | 4 | 1 | no | — |
| 408 | C2×D4 | — | 53 | 1 | no | — |
| 409 | C2×D4 | — | 106 | 1 | no | — |
| 410 | C2×D4 | — | 212 | 2 | no | — |
| 411 | C22×C4 | — | 4 | 1 | no | — |
| 412 | C22×C4 | — | 106 | 1 | no | — |
| 413 | C22×C4 | — | 212 | 2 | no | — |
| 414 | C22×C4 | — | 212 | 2 | no | — |
| 415 | C22×C4 | — | 212 | 1 | no | — |
| 416 | C22×C4 | D4×D53 | 1 | 1 | yes | characteristic |
| 417 | Q16 | — | 2 | 1 | no | — |
| 418 | Q16 | — | 53 | 4 | no | — |
| 419 | Q16 | — | 106 | 8 | no | — |
| 420 | Q16 | — | 106 | 2 | no | — |
| 421 | Q16 | — | 106 | 2 | no | — |
| 422 | Q16 | — | 106 | 2 | no | — |
| 423 | Q16 | C2×C22⋊D53 | 1 | 2 | yes | — |
| 424 | SD16 | — | 2 | 2 | no | — |
| 425 | SD16 | — | 2 | 2 | no | — |
| 426 | SD16 | — | 106 | 8 | no | — |
| 427 | SD16 | — | 212 | 4 | no | — |
| 428 | D8 | — | 2 | 1 | no | — |
| 429 | D8 | — | 2 | 2 | no | — |
| 430 | D8 | — | 2 | 2 | no | — |
| 431 | D8 | — | 4 | 1 | no | — |
| 432 | D8 | — | 4 | 1 | no | — |
| 433 | D8 | — | 212 | 4 | no | — |
| 434 | D8 | C2×C22⋊D53 | 1 | 2 | yes | — |
| 435 | M16 | — | 53 | 2 | no | — |
| 436 | M16 | — | 106 | 1 | no | — |
| 437 | M16 | — | 106 | 2 | no | — |
| 438 | M16 | — | 106 | 2 | no | — |
| 439 | M16 | — | 106 | 2 | no | — |
| 440 | M16 | — | 212 | 1 | no | — |
| 441 | C2×C8 | — | 106 | 1 | no | — |
| 442 | C2×C8 | — | 106 | 2 | no | — |
| 443 | C2×C8 | — | 106 | 2 | no | — |
| 444 | C2×C8 | — | 212 | 1 | no | — |
| 445 | C2×C8 | D4×D53 | 1 | 1 | yes | characteristic |
| 446 | C2×C8 | D4×D53 | 1 | 1 | yes | characteristic |
| 447 | C2×C8 | D4×D53 | 1 | 1 | yes | characteristic |
| 448 | C2×C8 | C2×C22⋊D53 | 1 | 1 | yes | characteristic |
| 449 | C2×C8 | C2×C22⋊D53 | 1 | 1 | yes | characteristic |
| 450 | C2×C8 | C23×D53 | 1 | 1 | yes | characteristic |
| 451 | C16 | — | 2 | 2 | no | — |
| 452 | C16 | — | 106 | 2 | no | — |
| 453 | C23 | — | 4 | 1 | no | — |
| 454 | C23 | — | 4 | 2 | no | — |
| 455 | C23 | — | 8 | 1 | no | — |
| 456 | C23 | — | 8 | 1 | no | — |
| 457 | C23 | — | 16 | 2 | no | — |
| 458 | C23 | — | 106 | 1 | no | — |
| 459 | C23 | #13133241 | 1 | 1 | yes | characteristic |
| 460 | Q8 | — | 2 | 2 | no | — |
| 461 | Q8 | — | 4 | 1 | no | — |
| 462 | Q8 | — | 53 | 2 | no | — |
| 463 | Q8 | — | 106 | 1 | no | — |
| 464 | Q8 | — | 106 | 4 | no | — |
| 465 | Q8 | — | 212 | 8 | no | — |
| 466 | Q8 | — | 212 | 2 | no | — |
| 467 | Q8 | — | 212 | 2 | no | — |
| 468 | Q8 | — | 212 | 2 | no | — |
| 469 | D4 | — | 2 | 2 | no | — |
| 470 | D4 | — | 4 | 2 | no | — |
| 471 | D4 | — | 4 | 2 | no | — |
| 472 | D4 | — | 4 | 1 | no | — |
| 473 | D4 | — | 4 | 2 | no | — |
| 474 | D4 | — | 4 | 2 | no | — |
| 475 | D4 | — | 8 | 1 | no | — |
| 476 | D4 | — | 8 | 1 | no | — |
| 477 | D4 | — | 53 | 2 | no | — |
| 478 | D4 | — | 106 | 2 | no | — |
| 479 | D4 | — | 106 | 2 | no | — |
| 480 | D4 | — | 106 | 1 | no | — |
| 481 | D4 | — | 212 | 8 | no | — |
| 482 | C2×C4 | — | 4 | 1 | no | — |
| 483 | C2×C4 | — | 4 | 2 | no | — |
| 484 | C2×C4 | — | 4 | 2 | no | — |
| 485 | C2×C4 | — | 106 | 1 | no | — |
| 486 | C2×C4 | — | 106 | 2 | no | — |
| 487 | C2×C4 | — | 106 | 2 | no | — |
| 488 | C2×C4 | — | 212 | 8 | no | — |
| 489 | C2×C4 | — | 212 | 8 | no | — |
| 490 | C2×C4 | — | 212 | 2 | no | — |
| 491 | C2×C4 | — | 212 | 2 | no | — |
| 492 | C2×C4 | — | 212 | 2 | no | — |
| 493 | C2×C4 | #13133185 | 1 | 1 | yes | characteristic |
| 494 | C2×C4 | #13133185 | 1 | 1 | yes | characteristic |
| 495 | C2×C4 | D8×D53 | 1 | 1 | yes | characteristic |
| 496 | C2×C4 | D8×D53 | 1 | 1 | yes | characteristic |
| 497 | C2×C4 | #13133241 | 1 | 1 | yes | characteristic |
| 498 | C2×C4 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 499 | C8 | — | 106 | 2 | no | — |
| 500 | C8 | — | 212 | 2 | no | — |
| 501 | C8 | #13133185 | 1 | 1 | yes | characteristic |
| 502 | C8 | #13133185 | 1 | 1 | yes | characteristic |
| 503 | C8 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 504 | C8 | C22×C22⋊D53 | 1 | 1 | yes | characteristic |
| 505 | C22 | — | 2 | 2 | no | — |
| 506 | C22 | — | 4 | 2 | no | — |
| 507 | C22 | — | 8 | 2 | no | — |
| 508 | C22 | — | 8 | 2 | no | — |
| 509 | C22 | — | 16 | 2 | no | — |
| 510 | C22 | — | 16 | 2 | no | — |
| 511 | C22 | — | 16 | 2 | no | — |
| 512 | C22 | — | 106 | 2 | no | — |
| 513 | C22 | — | 212 | 2 | no | — |
| 514 | C22 | #16810755 | 1 | 1 | yes | characteristic |
| 515 | C22 | #16810755 | 1 | 1 | yes | characteristic |
| 516 | C22 | C2×#13133241 | 1 | 1 | yes | characteristic |
| 517 | C4 | — | 4 | 2 | no | — |
| 518 | C4 | — | 106 | 2 | no | — |
| 519 | C4 | — | 212 | 4 | no | — |
| 520 | C4 | #16810755 | 1 | 1 | yes | characteristic |
| 521 | C4 | #16810755 | 1 | 1 | yes | characteristic |
| 522 | C4 | C2×#13133185 | 1 | 1 | yes | characteristic |
| 523 | C4 | C2×D8×D53 | 1 | 1 | yes | characteristic |
| 524 | C2 | — | 2 | 1 | no | — |
| 525 | C2 | — | 2 | 1 | no | — |
| 526 | C2 | — | 8 | 2 | no | — |
| 527 | C2 | — | 16 | 2 | no | — |
| 528 | C2 | — | 212 | 2 | no | — |
| 529 | C2 | #20276676 | 1 | 2 | yes | direct product factor |
| 530 | C2 | C2×#16810755 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta