| 1 | C2×#11718085 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#11718089 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #13116541 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #13115724 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | #13112931 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #13112914 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C13×#1772 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C2×#88158 | C22 | 1 | 1 | yes | characteristic |
| 9 | C2×C13×#108 | C22 | 1 | 1 | yes | characteristic |
| 10 | C13×#427 | C22 | 1 | 1 | yes | characteristic |
| 11 | C13×#405 | — | 2 | 1 | no | — |
| 12 | C2×C4×C8×C13 | C22 | 1 | 1 | yes | characteristic |
| 13 | #11718771 | — | 2 | 1 | no | — |
| 14 | C2×#88059 | C22 | 1 | 1 | yes | characteristic |
| 15 | C22×#6090 | C22 | 1 | 1 | yes | characteristic |
| 16 | C22×#6090 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×#88045 | — | 2 | 1 | no | — |
| 18 | C13×#339 | — | 2 | 1 | no | — |
| 19 | #11718089 | — | 2 | 2 | no | — |
| 20 | #11718085 | — | 2 | 2 | no | — |
| 21 | #11718084 | C4 | 1 | 1 | yes | characteristic, complemented |
| 22 | #11718084 | C4 | 1 | 1 | yes | characteristic, complemented |
| 23 | #11718083 | C4 | 1 | 1 | yes | characteristic, complemented |
| 24 | #11718083 | C4 | 1 | 1 | yes | characteristic, complemented |
| 25 | C2×#6127 | — | 2 | 1 | no | — |
| 26 | C2×C13×M16 | — | 2 | 1 | no | — |
| 27 | C22×C8×C13 | D4 | 1 | 1 | yes | characteristic |
| 28 | C22×C8×C13 | C23 | 1 | 1 | yes | characteristic |
| 29 | C13×#117 | — | 2 | 1 | no | — |
| 30 | C2×C42×C13 | D4 | 1 | 1 | yes | characteristic |
| 31 | C2×#6099 | — | 2 | 1 | no | — |
| 32 | C2×Dic52 | C2×C4 | 1 | 1 | yes | characteristic |
| 33 | #88158 | — | 2 | 1 | no | — |
| 34 | #88158 | — | 2 | 1 | no | — |
| 35 | #88158 | — | 2 | 1 | no | — |
| 36 | #88158 | — | 2 | 1 | no | — |
| 37 | C2×D104 | C2×C4 | 1 | 1 | yes | characteristic |
| 38 | C2×#6095 | — | 2 | 1 | no | — |
| 39 | C13×#108 | — | 2 | 1 | no | — |
| 40 | C13×#108 | D4 | 1 | 2 | yes | — |
| 41 | C13×#107 | C2×C4 | 1 | 1 | yes | characteristic |
| 42 | C13×#107 | C2×C4 | 1 | 1 | yes | characteristic |
| 43 | C13×#106 | — | 2 | 1 | no | — |
| 44 | C13×#97 | — | 4 | 1 | no | — |
| 45 | C4×C8×C13 | — | 2 | 1 | no | — |
| 46 | C4×C8×C13 | — | 2 | 1 | no | — |
| 47 | C4×C8×C13 | — | 4 | 1 | no | — |
| 48 | #88060 | — | 4 | 1 | no | — |
| 49 | #88060 | — | 4 | 1 | no | — |
| 50 | #88059 | — | 2 | 1 | no | — |
| 51 | #88059 | — | 2 | 1 | no | — |
| 52 | C2×#6090 | — | 2 | 1 | no | — |
| 53 | C2×#6090 | — | 2 | 1 | no | — |
| 54 | C2×#6090 | — | 2 | 1 | no | — |
| 55 | C2×#6090 | — | 2 | 1 | no | — |
| 56 | C2×#6090 | — | 2 | 1 | no | — |
| 57 | C2×#6090 | C2×C4 | 1 | 1 | yes | characteristic |
| 58 | C2×#6090 | C2×C4 | 1 | 1 | yes | characteristic |
| 59 | #88045 | — | 4 | 2 | no | — |
| 60 | #13134 | — | 13 | 1 | no | maximal, Sylow |
| 61 | C22×C4×C13 | — | 2 | 1 | no | — |
| 62 | C22×C4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 63 | C2×C22⋊D13 | — | 4 | 1 | no | — |
| 64 | #6127 | — | 4 | 1 | no | — |
| 65 | #6127 | — | 4 | 1 | no | — |
| 66 | #6127 | — | 4 | 1 | no | — |
| 67 | #6127 | — | 4 | 1 | no | — |
| 68 | C2×D52 | — | 2 | 1 | no | — |
| 69 | C2×C4×D13 | — | 4 | 1 | no | — |
| 70 | C2×Dic26 | — | 2 | 1 | no | — |
| 71 | C13×M16 | — | 2 | 2 | no | — |
| 72 | C13×M16 | — | 4 | 1 | no | — |
| 73 | C2×C8×C13 | — | 2 | 1 | no | — |
| 74 | C2×C8×C13 | — | 2 | 1 | no | — |
| 75 | C2×C8×C13 | — | 4 | 1 | no | — |
| 76 | C2×C8×C13 | D8 | 1 | 1 | yes | characteristic |
| 77 | C2×C8×C13 | D8 | 1 | 1 | yes | characteristic |
| 78 | C2×C8×C13 | C22×C4 | 1 | 1 | yes | characteristic |
| 79 | C2×C8×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 80 | C2×C8×C13 | #41 | 1 | 1 | yes | characteristic |
| 81 | C2×C8×C13 | #41 | 1 | 1 | yes | characteristic |
| 82 | C2×C8×C13 | #41 | 1 | 1 | yes | characteristic |
| 83 | C2×C8×C13 | #41 | 1 | 1 | yes | characteristic |
| 84 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 85 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 86 | C13×C22⋊C4 | — | 4 | 1 | no | — |
| 87 | C42×C13 | — | 2 | 1 | no | — |
| 88 | C42×C13 | — | 2 | 1 | no | — |
| 89 | C42×C13 | — | 4 | 1 | no | — |
| 90 | #6099 | — | 4 | 1 | no | — |
| 91 | #6099 | — | 4 | 1 | no | — |
| 92 | C2×#1055 | — | 4 | 1 | no | — |
| 93 | Dic52 | — | 2 | 1 | no | — |
| 94 | Dic52 | — | 2 | 1 | no | — |
| 95 | D104 | — | 2 | 1 | no | — |
| 96 | D104 | — | 2 | 1 | no | — |
| 97 | #6095 | — | 4 | 1 | no | — |
| 98 | #6095 | — | 4 | 1 | no | — |
| 99 | #6090 | — | 2 | 1 | no | — |
| 100 | #6090 | — | 2 | 1 | no | — |
| 101 | #6090 | — | 4 | 1 | no | — |
| 102 | C2×#368 | — | 13 | 1 | no | — |
| 103 | C2×#359 | — | 13 | 1 | no | — |
| 104 | #2138 | — | 13 | 1 | no | — |
| 105 | #1974 | — | 13 | 1 | no | — |
| 106 | #1772 | D13 | 1 | 1 | yes | characteristic, complemented |
| 107 | #1382 | — | 13 | 1 | no | — |
| 108 | #1374 | — | 13 | 1 | no | — |
| 109 | C23×C13 | #135 | 1 | 1 | yes | characteristic |
| 110 | C22×D13 | — | 4 | 1 | no | — |
| 111 | C2×C4×C13 | — | 2 | 2 | no | — |
| 112 | C2×C4×C13 | — | 4 | 1 | no | — |
| 113 | C2×C4×C13 | — | 4 | 1 | no | — |
| 114 | C2×C4×C13 | — | 4 | 1 | no | — |
| 115 | C2×C4×C13 | — | 4 | 1 | no | — |
| 116 | C2×C4×C13 | C4×D4 | 1 | 1 | yes | characteristic |
| 117 | C2×C4×C13 | #121 | 1 | 1 | yes | characteristic |
| 118 | C2×C4×C13 | #123 | 1 | 1 | yes | characteristic |
| 119 | C2×C4×C13 | C2×D8 | 1 | 1 | yes | characteristic |
| 120 | C2×C4×C13 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 121 | C2×C4×C13 | #137 | 1 | 1 | yes | characteristic |
| 122 | C22⋊D13 | — | 8 | 1 | no | — |
| 123 | C22⋊D13 | — | 8 | 1 | no | — |
| 124 | C2×Dic13 | — | 4 | 1 | no | — |
| 125 | D52 | — | 4 | 1 | no | — |
| 126 | D52 | — | 4 | 1 | no | — |
| 127 | C4×D13 | — | 8 | 1 | no | — |
| 128 | C4×D13 | — | 8 | 1 | no | — |
| 129 | Dic26 | — | 4 | 1 | no | — |
| 130 | Dic26 | — | 4 | 1 | no | — |
| 131 | C8×C13 | — | 2 | 1 | no | — |
| 132 | C8×C13 | — | 2 | 1 | no | — |
| 133 | C8×C13 | — | 4 | 2 | no | — |
| 134 | C8×C13 | #117 | 1 | 1 | yes | characteristic |
| 135 | C8×C13 | C4×D4 | 1 | 1 | yes | characteristic |
| 136 | C8×C13 | #124 | 1 | 1 | yes | characteristic |
| 137 | C8×C13 | #126 | 1 | 1 | yes | characteristic |
| 138 | #1055 | — | 8 | 1 | no | — |
| 139 | C2×#135 | — | 13 | 1 | no | — |
| 140 | C22×C16 | — | 13 | 1 | no | — |
| 141 | C22×C16 | — | 13 | 1 | no | — |
| 142 | C2×#108 | — | 13 | 1 | no | — |
| 143 | C2×#108 | C2×D13 | 1 | 1 | yes | characteristic |
| 144 | #427 | C2×D13 | 1 | 1 | yes | characteristic |
| 145 | C2×#104 | — | 26 | 1 | no | — |
| 146 | #408 | — | 26 | 1 | no | — |
| 147 | #405 | — | 2 | 1 | no | — |
| 148 | C2×C4×C8 | C2×D13 | 1 | 1 | yes | characteristic |
| 149 | #368 | — | 26 | 2 | no | — |
| 150 | #359 | — | 26 | 2 | no | — |
| 151 | #358 | — | 13 | 1 | no | — |
| 152 | #358 | — | 13 | 1 | no | — |
| 153 | #357 | — | 13 | 1 | no | — |
| 154 | #357 | — | 13 | 1 | no | — |
| 155 | #339 | — | 2 | 1 | no | — |
| 156 | C22×C13 | — | 2 | 1 | no | — |
| 157 | C22×C13 | — | 2 | 1 | no | — |
| 158 | C22×C13 | C4×D8 | 1 | 1 | yes | characteristic |
| 159 | C22×C13 | #464 | 1 | 1 | yes | characteristic |
| 160 | C22×C13 | #482 | 1 | 1 | yes | characteristic |
| 161 | C2×D13 | — | 8 | 1 | no | — |
| 162 | C2×D13 | — | 8 | 1 | no | — |
| 163 | C2×D13 | — | 8 | 1 | no | — |
| 164 | C4×C13 | — | 4 | 2 | no | — |
| 165 | C4×C13 | — | 8 | 1 | no | — |
| 166 | C4×C13 | — | 8 | 1 | no | — |
| 167 | C4×C13 | #388 | 1 | 1 | yes | characteristic |
| 168 | C4×C13 | #440 | 1 | 1 | yes | characteristic |
| 169 | C4×C13 | #459 | 1 | 1 | yes | characteristic |
| 170 | C4×C13 | #480 | 1 | 1 | yes | characteristic |
| 171 | Dic13 | — | 8 | 1 | no | — |
| 172 | C2×#41 | — | 26 | 1 | no | — |
| 173 | #135 | — | 26 | 1 | no | — |
| 174 | #135 | — | 26 | 1 | no | — |
| 175 | #135 | — | 26 | 1 | no | — |
| 176 | #135 | — | 26 | 1 | no | — |
| 177 | C2×Q16 | — | 13 | 1 | no | — |
| 178 | C2×SD16 | — | 26 | 1 | no | — |
| 179 | C2×D8 | — | 13 | 1 | no | — |
| 180 | C2×M16 | — | 2 | 1 | no | — |
| 181 | C2×M16 | — | 26 | 1 | no | — |
| 182 | C22×C8 | C22⋊D13 | 1 | 1 | yes | characteristic |
| 183 | C22×C8 | C22×D13 | 1 | 1 | yes | characteristic |
| 184 | #117 | — | 2 | 1 | no | — |
| 185 | C2×C42 | C22⋊D13 | 1 | 1 | yes | characteristic |
| 186 | C2×C16 | — | 13 | 1 | no | — |
| 187 | C2×C16 | — | 13 | 1 | no | — |
| 188 | C2×C16 | — | 26 | 1 | no | — |
| 189 | C2×C16 | — | 26 | 1 | no | — |
| 190 | C2×C16 | — | 26 | 1 | no | — |
| 191 | C2×C16 | — | 26 | 1 | no | — |
| 192 | C2×C16 | — | 26 | 1 | no | — |
| 193 | #108 | — | 2 | 1 | no | — |
| 194 | #108 | — | 26 | 1 | no | — |
| 195 | #108 | — | 26 | 1 | no | — |
| 196 | #108 | D52 | 1 | 2 | yes | — |
| 197 | #107 | C4×D13 | 1 | 1 | yes | characteristic |
| 198 | #107 | C4×D13 | 1 | 1 | yes | characteristic |
| 199 | #106 | — | 2 | 1 | no | — |
| 200 | #104 | — | 52 | 2 | no | — |
| 201 | C22⋊C8 | — | 52 | 1 | no | — |
| 202 | C22⋊C8 | — | 52 | 1 | no | — |
| 203 | #97 | — | 4 | 1 | no | — |
| 204 | C4×C8 | — | 2 | 1 | no | — |
| 205 | C4×C8 | — | 2 | 1 | no | — |
| 206 | C4×C8 | — | 4 | 1 | no | — |
| 207 | C2×C13 | — | 2 | 1 | no | — |
| 208 | C2×C13 | — | 2 | 1 | no | — |
| 209 | C2×C13 | #1925 | 1 | 1 | yes | characteristic |
| 210 | C2×C13 | #2178 | 1 | 1 | yes | characteristic |
| 211 | C2×C13 | #2179 | 1 | 1 | yes | characteristic |
| 212 | D13 | — | 16 | 1 | no | — |
| 213 | #41 | — | 52 | 1 | no | — |
| 214 | #41 | — | 52 | 1 | no | — |
| 215 | #41 | — | 52 | 1 | no | — |
| 216 | #41 | — | 52 | 1 | no | — |
| 217 | C2×Q8 | — | 26 | 1 | no | — |
| 218 | C2×D4 | — | 26 | 1 | no | — |
| 219 | C2×D4 | — | 52 | 1 | no | — |
| 220 | C22×C4 | — | 2 | 1 | no | — |
| 221 | C22×C4 | — | 52 | 1 | no | — |
| 222 | C22×C4 | C2×C22⋊D13 | 1 | 1 | yes | characteristic |
| 223 | Q16 | — | 26 | 1 | no | — |
| 224 | Q16 | — | 26 | 1 | no | — |
| 225 | SD16 | — | 52 | 1 | no | — |
| 226 | SD16 | — | 52 | 1 | no | — |
| 227 | D8 | — | 26 | 1 | no | — |
| 228 | D8 | — | 26 | 1 | no | — |
| 229 | M16 | — | 2 | 2 | no | — |
| 230 | M16 | — | 4 | 1 | no | — |
| 231 | M16 | — | 52 | 1 | no | — |
| 232 | M16 | — | 52 | 1 | no | — |
| 233 | C2×C8 | — | 2 | 1 | no | — |
| 234 | C2×C8 | — | 2 | 1 | no | — |
| 235 | C2×C8 | — | 4 | 1 | no | — |
| 236 | C2×C8 | — | 52 | 1 | no | — |
| 237 | C2×C8 | #6104 | 1 | 1 | yes | characteristic |
| 238 | C2×C8 | #6104 | 1 | 1 | yes | characteristic |
| 239 | C2×C8 | C2×C4×D13 | 1 | 1 | yes | characteristic |
| 240 | C2×C8 | C2×D52 | 1 | 1 | yes | characteristic |
| 241 | C2×C8 | #6127 | 1 | 1 | yes | characteristic |
| 242 | C2×C8 | #6127 | 1 | 1 | yes | characteristic |
| 243 | C2×C8 | #6127 | 1 | 1 | yes | characteristic |
| 244 | C2×C8 | #6127 | 1 | 1 | yes | characteristic |
| 245 | C4⋊C4 | — | 2 | 1 | no | — |
| 246 | C4⋊C4 | — | 2 | 1 | no | — |
| 247 | C22⋊C4 | — | 4 | 1 | no | — |
| 248 | C42 | — | 2 | 1 | no | — |
| 249 | C42 | — | 2 | 1 | no | — |
| 250 | C42 | — | 4 | 1 | no | — |
| 251 | C16 | — | 26 | 1 | no | — |
| 252 | C16 | — | 26 | 1 | no | — |
| 253 | C16 | — | 52 | 1 | no | — |
| 254 | C13 | #13134 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 255 | C23 | — | 52 | 1 | no | — |
| 256 | C23 | #88204 | 1 | 1 | yes | characteristic |
| 257 | Q8 | — | 52 | 1 | no | — |
| 258 | Q8 | — | 52 | 1 | no | — |
| 259 | D4 | — | 52 | 1 | no | — |
| 260 | D4 | — | 52 | 1 | no | — |
| 261 | D4 | — | 104 | 1 | no | — |
| 262 | D4 | — | 104 | 1 | no | — |
| 263 | C2×C4 | — | 2 | 2 | no | — |
| 264 | C2×C4 | — | 4 | 1 | no | — |
| 265 | C2×C4 | — | 4 | 1 | no | — |
| 266 | C2×C4 | — | 4 | 1 | no | — |
| 267 | C2×C4 | — | 4 | 1 | no | — |
| 268 | C2×C4 | — | 52 | 1 | no | — |
| 269 | C2×C4 | — | 104 | 1 | no | — |
| 270 | C2×C4 | — | 104 | 1 | no | — |
| 271 | C2×C4 | C4×C22⋊D13 | 1 | 1 | yes | characteristic |
| 272 | C2×C4 | #88183 | 1 | 1 | yes | characteristic |
| 273 | C2×C4 | #88184 | 1 | 1 | yes | characteristic |
| 274 | C2×C4 | C2×#6104 | 1 | 1 | yes | characteristic |
| 275 | C2×C4 | #88196 | 1 | 1 | yes | characteristic |
| 276 | C2×C4 | #88203 | 1 | 1 | yes | characteristic |
| 277 | C8 | — | 2 | 1 | no | — |
| 278 | C8 | — | 2 | 1 | no | — |
| 279 | C8 | — | 4 | 2 | no | — |
| 280 | C8 | — | 104 | 1 | no | — |
| 281 | C8 | #88126 | 1 | 1 | yes | characteristic |
| 282 | C8 | C4×D52 | 1 | 1 | yes | characteristic |
| 283 | C8 | #88129 | 1 | 1 | yes | characteristic |
| 284 | C8 | #88130 | 1 | 1 | yes | characteristic |
| 285 | C22 | — | 2 | 1 | no | — |
| 286 | C22 | — | 2 | 1 | no | — |
| 287 | C22 | — | 104 | 1 | no | — |
| 288 | C22 | — | 104 | 1 | no | — |
| 289 | C22 | — | 104 | 1 | no | — |
| 290 | C22 | #11718664 | 1 | 1 | yes | characteristic |
| 291 | C22 | C4×#6104 | 1 | 1 | yes | characteristic |
| 292 | C22 | #11718689 | 1 | 1 | yes | characteristic |
| 293 | C4 | — | 4 | 2 | no | — |
| 294 | C4 | — | 8 | 1 | no | — |
| 295 | C4 | — | 8 | 1 | no | — |
| 296 | C4 | — | 104 | 1 | no | — |
| 297 | C4 | #11718601 | 1 | 1 | yes | characteristic |
| 298 | C4 | #11718628 | 1 | 1 | yes | characteristic |
| 299 | C4 | #11718676 | 1 | 1 | yes | characteristic |
| 300 | C4 | #11718687 | 1 | 1 | yes | characteristic |
| 301 | C2 | — | 2 | 1 | no | — |
| 302 | C2 | — | 2 | 1 | no | — |
| 303 | C2 | — | 208 | 1 | no | — |
| 304 | C2 | #13115456 | 1 | 1 | yes | characteristic |
| 305 | C2 | #13116715 | 1 | 1 | yes | characteristic |
| 306 | C2 | #13116720 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta