| 1 | #14271771 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #14271767 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #14271471 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #14271470 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #14271465 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #14271461 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #14271408 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #14271406 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #14271391 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #14271389 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #14271366 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #14271366 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #14271360 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #14271188 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C29×#460 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×SD16×C29 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×SD16×C29 | C22 | 1 | 1 | yes | characteristic |
| 18 | C29×#127 | C22 | 1 | 1 | yes | characteristic |
| 19 | C4×Q8×C29 | C22 | 1 | 1 | yes | characteristic |
| 20 | #11745308 | C22 | 1 | 1 | yes | characteristic |
| 21 | #11745306 | C22 | 1 | 1 | yes | characteristic |
| 22 | #11745301 | — | 2 | 1 | no | — |
| 23 | #11745301 | — | 2 | 1 | no | — |
| 24 | #11745300 | C22 | 1 | 1 | yes | characteristic |
| 25 | #11745300 | C22 | 1 | 1 | yes | characteristic |
| 26 | #11745297 | — | 2 | 1 | no | — |
| 27 | #11745297 | — | 2 | 1 | no | — |
| 28 | D4×Dic29 | C22 | 1 | 1 | yes | characteristic |
| 29 | D4×Dic29 | C22 | 1 | 1 | yes | characteristic |
| 30 | C2×#90783 | C22 | 1 | 1 | yes | characteristic |
| 31 | C2×#90783 | C22 | 1 | 1 | yes | characteristic |
| 32 | C2×#90772 | C22 | 1 | 1 | yes | characteristic |
| 33 | C2×C8×D29 | C22 | 1 | 1 | yes | characteristic |
| 34 | #11745260 | — | 2 | 1 | no | — |
| 35 | #11745259 | C22 | 1 | 1 | yes | characteristic |
| 36 | #11745252 | C22 | 1 | 1 | yes | characteristic |
| 37 | #11745251 | — | 2 | 1 | no | — |
| 38 | #11745238 | — | 2 | 1 | no | — |
| 39 | #11745234 | C22 | 1 | 1 | yes | characteristic |
| 40 | #11745232 | — | 2 | 1 | no | — |
| 41 | #11745232 | C22 | 1 | 1 | yes | characteristic |
| 42 | C4×Dic58 | C22 | 1 | 1 | yes | characteristic |
| 43 | C29×C4⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 44 | C29×#102 | C22 | 1 | 1 | yes | characteristic |
| 45 | C29×#102 | C22 | 1 | 1 | yes | characteristic |
| 46 | #11745183 | C22 | 1 | 1 | yes | characteristic |
| 47 | #11745183 | C22 | 1 | 1 | yes | characteristic |
| 48 | #11745180 | C22 | 1 | 1 | yes | characteristic |
| 49 | #11745180 | C22 | 1 | 1 | yes | characteristic |
| 50 | #11745166 | C22 | 1 | 1 | yes | characteristic |
| 51 | #11745165 | C22 | 1 | 1 | yes | characteristic |
| 52 | #11745164 | C22 | 1 | 1 | yes | characteristic |
| 53 | #11745164 | C22 | 1 | 1 | yes | characteristic |
| 54 | #11745162 | C22 | 1 | 1 | yes | characteristic |
| 55 | #11745162 | C22 | 1 | 1 | yes | characteristic |
| 56 | #11745156 | C22 | 1 | 1 | yes | characteristic |
| 57 | #11745155 | C22 | 1 | 1 | yes | characteristic |
| 58 | C4⋊#6597 | C22 | 1 | 1 | yes | characteristic |
| 59 | C2×Q8×C29 | C23 | 1 | 1 | yes | characteristic |
| 60 | C2×D4×C29 | — | 2 | 1 | no | — |
| 61 | C2×D4×C29 | — | 2 | 1 | no | — |
| 62 | C2×D4×C29 | C23 | 1 | 1 | yes | characteristic |
| 63 | C2×D4×C29 | C23 | 1 | 1 | yes | characteristic |
| 64 | C2×C22⋊D29 | — | 2 | 1 | no | — |
| 65 | C2×C22⋊D29 | — | 2 | 1 | no | — |
| 66 | C22×Dic29 | — | 2 | 1 | no | — |
| 67 | C22×Dic29 | — | 2 | 1 | no | — |
| 68 | C2×C4×D29 | C23 | 1 | 1 | yes | characteristic |
| 69 | C2×Dic58 | C23 | 1 | 1 | yes | characteristic |
| 70 | SD16×C29 | — | 4 | 1 | no | — |
| 71 | SD16×C29 | — | 4 | 1 | no | — |
| 72 | C2×C8×C29 | C23 | 1 | 1 | yes | characteristic |
| 73 | C2×C8×C29 | C23 | 1 | 1 | yes | characteristic |
| 74 | C4⋊C4×C29 | — | 2 | 1 | no | — |
| 75 | C4⋊C4×C29 | C23 | 1 | 1 | yes | characteristic |
| 76 | C42×C29 | — | 2 | 1 | no | — |
| 77 | C42×C29 | C23 | 1 | 1 | yes | characteristic |
| 78 | C22⋊Dic29 | — | 2 | 1 | no | — |
| 79 | C22⋊Dic29 | — | 2 | 1 | no | — |
| 80 | C22⋊Dic29 | — | 2 | 1 | no | — |
| 81 | C22⋊Dic29 | — | 2 | 1 | no | — |
| 82 | #90783 | — | 4 | 1 | no | — |
| 83 | #90783 | — | 4 | 1 | no | — |
| 84 | #90781 | — | 2 | 1 | no | — |
| 85 | #90781 | — | 2 | 1 | no | — |
| 86 | #90781 | D4 | 1 | 1 | yes | characteristic |
| 87 | #90781 | D4 | 1 | 1 | yes | characteristic |
| 88 | C4⋊Dic29 | — | 2 | 1 | no | — |
| 89 | C4⋊Dic29 | — | 2 | 1 | no | — |
| 90 | C4⋊Dic29 | C23 | 1 | 1 | yes | characteristic |
| 91 | C4⋊Dic29 | C23 | 1 | 1 | yes | characteristic |
| 92 | C4⋊Dic29 | C23 | 1 | 1 | yes | characteristic |
| 93 | #90779 | — | 2 | 1 | no | — |
| 94 | #90779 | — | 2 | 1 | no | — |
| 95 | #90779 | — | 2 | 1 | no | — |
| 96 | #90779 | — | 2 | 1 | no | — |
| 97 | #90779 | — | 2 | 1 | no | — |
| 98 | #90779 | — | 2 | 1 | no | — |
| 99 | #90779 | — | 2 | 1 | no | — |
| 100 | #90779 | D4 | 1 | 1 | yes | characteristic |
| 101 | #90779 | D4 | 1 | 1 | yes | characteristic |
| 102 | C4×Dic29 | — | 2 | 1 | no | — |
| 103 | C4×Dic29 | C23 | 1 | 1 | yes | characteristic |
| 104 | C2×#6597 | C23 | 1 | 1 | yes | characteristic |
| 105 | C2×#6597 | C23 | 1 | 1 | yes | characteristic |
| 106 | #90772 | — | 4 | 1 | no | — |
| 107 | C8×D29 | — | 4 | 1 | no | — |
| 108 | C23×C29 | — | 2 | 1 | no | — |
| 109 | C23×C29 | — | 2 | 1 | no | — |
| 110 | C22×D29 | C2×D4 | 1 | 1 | yes | characteristic |
| 111 | Q8×C29 | — | 2 | 1 | no | — |
| 112 | Q8×C29 | — | 2 | 1 | no | — |
| 113 | D4×C29 | — | 2 | 1 | no | — |
| 114 | D4×C29 | — | 2 | 1 | no | — |
| 115 | D4×C29 | — | 2 | 1 | no | — |
| 116 | D4×C29 | — | 2 | 1 | no | — |
| 117 | D4×C29 | — | 8 | 1 | no | — |
| 118 | D4×C29 | — | 8 | 1 | no | — |
| 119 | C2×C4×C29 | — | 2 | 1 | no | — |
| 120 | C2×C4×C29 | — | 2 | 1 | no | — |
| 121 | C2×C4×C29 | C2×D4 | 1 | 1 | yes | characteristic |
| 122 | C2×C4×C29 | C2×D4 | 1 | 1 | yes | characteristic |
| 123 | C2×C4×C29 | C24 | 1 | 1 | yes | characteristic |
| 124 | C22⋊D29 | — | 8 | 1 | no | — |
| 125 | C22⋊D29 | — | 8 | 1 | no | — |
| 126 | C2×Dic29 | — | 2 | 1 | no | — |
| 127 | C2×Dic29 | — | 2 | 1 | no | — |
| 128 | C2×Dic29 | — | 2 | 1 | no | — |
| 129 | C2×Dic29 | — | 2 | 1 | no | — |
| 130 | C2×Dic29 | — | 8 | 1 | no | — |
| 131 | C2×Dic29 | — | 8 | 1 | no | — |
| 132 | C2×Dic29 | C2×D4 | 1 | 1 | yes | characteristic |
| 133 | C2×Dic29 | C2×D4 | 1 | 1 | yes | characteristic |
| 134 | C2×Dic29 | C2×D4 | 1 | 1 | yes | characteristic |
| 135 | C4×D29 | — | 2 | 1 | no | — |
| 136 | C4×D29 | — | 2 | 1 | no | — |
| 137 | Dic58 | — | 2 | 1 | no | — |
| 138 | Dic58 | — | 2 | 1 | no | — |
| 139 | C8×C29 | — | 2 | 1 | no | — |
| 140 | C8×C29 | — | 2 | 1 | no | — |
| 141 | #6597 | — | 2 | 1 | no | — |
| 142 | #6597 | — | 2 | 1 | no | — |
| 143 | #3260 | — | 29 | 1 | no | maximal, Sylow |
| 144 | C22×C29 | — | 4 | 1 | no | — |
| 145 | C22×C29 | — | 4 | 1 | no | — |
| 146 | C22×C29 | — | 4 | 1 | no | — |
| 147 | C22×C29 | — | 4 | 1 | no | — |
| 148 | C22×C29 | — | 4 | 1 | no | — |
| 149 | C22×C29 | — | 4 | 1 | no | — |
| 150 | C22×C29 | C22×D4 | 1 | 1 | yes | characteristic |
| 151 | C2×D29 | — | 2 | 1 | no | — |
| 152 | C2×D29 | — | 2 | 1 | no | — |
| 153 | C2×D29 | — | 2 | 1 | no | — |
| 154 | C4×C29 | — | 2 | 1 | no | — |
| 155 | C4×C29 | — | 2 | 1 | no | — |
| 156 | C4×C29 | — | 4 | 1 | no | — |
| 157 | C4×C29 | — | 4 | 1 | no | — |
| 158 | C4×C29 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 159 | C4×C29 | 2−1+4 | 1 | 1 | yes | characteristic |
| 160 | Dic29 | — | 2 | 1 | no | — |
| 161 | Dic29 | — | 2 | 1 | no | — |
| 162 | Dic29 | — | 2 | 1 | no | — |
| 163 | Dic29 | — | 4 | 1 | no | — |
| 164 | Dic29 | — | 4 | 1 | no | — |
| 165 | Dic29 | — | 4 | 1 | no | — |
| 166 | Dic29 | — | 4 | 1 | no | — |
| 167 | #541 | — | 29 | 1 | no | — |
| 168 | #540 | — | 29 | 1 | no | — |
| 169 | #479 | — | 29 | 1 | no | — |
| 170 | #479 | — | 29 | 1 | no | — |
| 171 | #478 | — | 29 | 1 | no | — |
| 172 | #478 | — | 29 | 1 | no | — |
| 173 | #468 | — | 29 | 1 | no | — |
| 174 | #468 | — | 29 | 1 | no | — |
| 175 | #465 | — | 29 | 1 | no | — |
| 176 | #465 | — | 29 | 1 | no | — |
| 177 | #461 | — | 29 | 1 | no | — |
| 178 | #461 | — | 29 | 1 | no | — |
| 179 | #460 | — | 29 | 1 | no | — |
| 180 | #460 | D29 | 1 | 1 | yes | characteristic, complemented |
| 181 | #424 | — | 29 | 1 | no | — |
| 182 | C2×C29 | — | 8 | 1 | no | — |
| 183 | C2×C29 | — | 8 | 1 | no | — |
| 184 | C2×C29 | #537 | 1 | 1 | yes | characteristic |
| 185 | C2×C29 | #577 | 1 | 1 | yes | characteristic |
| 186 | C2×C29 | #577 | 1 | 1 | yes | characteristic |
| 187 | D29 | — | 4 | 1 | no | — |
| 188 | C2×SD16 | — | 29 | 1 | no | — |
| 189 | C2×SD16 | — | 29 | 1 | no | — |
| 190 | C2×SD16 | C2×D29 | 1 | 1 | yes | characteristic |
| 191 | C2×SD16 | C2×D29 | 1 | 1 | yes | characteristic |
| 192 | C2×M16 | — | 29 | 1 | no | — |
| 193 | C22×C8 | — | 29 | 1 | no | — |
| 194 | C4⋊Q8 | — | 29 | 1 | no | — |
| 195 | #127 | C2×D29 | 1 | 1 | yes | characteristic |
| 196 | #126 | — | 58 | 1 | no | — |
| 197 | #126 | — | 58 | 1 | no | — |
| 198 | #125 | — | 29 | 1 | no | — |
| 199 | #125 | — | 29 | 1 | no | — |
| 200 | #125 | — | 58 | 1 | no | — |
| 201 | #125 | — | 58 | 1 | no | — |
| 202 | #123 | — | 58 | 1 | no | — |
| 203 | #123 | — | 58 | 1 | no | — |
| 204 | C22⋊Q8 | — | 29 | 1 | no | — |
| 205 | C22⋊Q8 | — | 29 | 1 | no | — |
| 206 | #121 | — | 29 | 1 | no | — |
| 207 | #121 | — | 29 | 1 | no | — |
| 208 | #121 | — | 58 | 1 | no | — |
| 209 | #121 | — | 58 | 1 | no | — |
| 210 | C4×Q8 | — | 29 | 1 | no | — |
| 211 | C4×Q8 | C2×D29 | 1 | 1 | yes | characteristic |
| 212 | C4×D4 | — | 29 | 1 | no | — |
| 213 | C4×D4 | — | 29 | 1 | no | — |
| 214 | #117 | — | 29 | 1 | no | — |
| 215 | #107 | — | 29 | 1 | no | — |
| 216 | #107 | — | 29 | 1 | no | — |
| 217 | #106 | — | 29 | 1 | no | — |
| 218 | #106 | — | 29 | 1 | no | — |
| 219 | C4⋊C8 | — | 29 | 1 | no | — |
| 220 | C4⋊C8 | — | 29 | 1 | no | — |
| 221 | C4⋊C8 | — | 29 | 1 | no | — |
| 222 | C4⋊C8 | C2×D29 | 1 | 1 | yes | characteristic |
| 223 | #103 | — | 29 | 1 | no | — |
| 224 | #103 | — | 29 | 1 | no | — |
| 225 | #103 | — | 29 | 1 | no | — |
| 226 | #103 | — | 29 | 1 | no | — |
| 227 | #102 | — | 29 | 1 | no | — |
| 228 | #102 | — | 29 | 1 | no | — |
| 229 | #102 | C2×D29 | 1 | 1 | yes | characteristic |
| 230 | #102 | C2×D29 | 1 | 1 | yes | characteristic |
| 231 | C29 | #3260 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 232 | C2×Q8 | — | 29 | 1 | no | — |
| 233 | C2×Q8 | C22×D29 | 1 | 1 | yes | characteristic |
| 234 | C2×D4 | — | 2 | 1 | no | — |
| 235 | C2×D4 | — | 2 | 1 | no | — |
| 236 | C2×D4 | — | 58 | 1 | no | — |
| 237 | C2×D4 | — | 58 | 1 | no | — |
| 238 | C2×D4 | C22×D29 | 1 | 1 | yes | characteristic |
| 239 | C2×D4 | C22×D29 | 1 | 1 | yes | characteristic |
| 240 | C22×C4 | — | 29 | 1 | no | — |
| 241 | C22×C4 | — | 58 | 1 | no | — |
| 242 | C22×C4 | — | 58 | 1 | no | — |
| 243 | SD16 | — | 4 | 1 | no | — |
| 244 | SD16 | — | 4 | 1 | no | — |
| 245 | SD16 | — | 116 | 1 | no | — |
| 246 | SD16 | — | 116 | 1 | no | — |
| 247 | M16 | — | 116 | 1 | no | — |
| 248 | C2×C8 | — | 29 | 1 | no | — |
| 249 | C2×C8 | — | 29 | 1 | no | — |
| 250 | C2×C8 | — | 116 | 1 | no | — |
| 251 | C2×C8 | C22×D29 | 1 | 1 | yes | characteristic |
| 252 | C2×C8 | C22×D29 | 1 | 1 | yes | characteristic |
| 253 | C4⋊C4 | — | 2 | 1 | no | — |
| 254 | C4⋊C4 | — | 29 | 1 | no | — |
| 255 | C4⋊C4 | — | 29 | 1 | no | — |
| 256 | C4⋊C4 | — | 29 | 1 | no | — |
| 257 | C4⋊C4 | — | 29 | 1 | no | — |
| 258 | C4⋊C4 | — | 29 | 1 | no | — |
| 259 | C4⋊C4 | — | 58 | 1 | no | — |
| 260 | C4⋊C4 | — | 58 | 1 | no | — |
| 261 | C4⋊C4 | — | 58 | 1 | no | — |
| 262 | C4⋊C4 | — | 58 | 1 | no | — |
| 263 | C4⋊C4 | — | 58 | 1 | no | — |
| 264 | C4⋊C4 | — | 58 | 1 | no | — |
| 265 | C4⋊C4 | — | 58 | 1 | no | — |
| 266 | C4⋊C4 | — | 58 | 1 | no | — |
| 267 | C4⋊C4 | — | 58 | 1 | no | — |
| 268 | C4⋊C4 | C22×D29 | 1 | 1 | yes | characteristic |
| 269 | C22⋊C4 | — | 29 | 1 | no | — |
| 270 | C22⋊C4 | — | 29 | 1 | no | — |
| 271 | C22⋊C4 | — | 58 | 1 | no | — |
| 272 | C22⋊C4 | — | 58 | 1 | no | — |
| 273 | C22⋊C4 | — | 58 | 1 | no | — |
| 274 | C22⋊C4 | — | 58 | 1 | no | — |
| 275 | C22⋊C4 | — | 58 | 1 | no | — |
| 276 | C22⋊C4 | — | 58 | 1 | no | — |
| 277 | C42 | — | 2 | 1 | no | — |
| 278 | C42 | — | 29 | 1 | no | — |
| 279 | C42 | — | 58 | 1 | no | — |
| 280 | C42 | C22×D29 | 1 | 1 | yes | characteristic |
| 281 | C23 | — | 2 | 1 | no | — |
| 282 | C23 | — | 2 | 1 | no | — |
| 283 | C23 | — | 29 | 1 | no | — |
| 284 | Q8 | — | 2 | 1 | no | — |
| 285 | Q8 | — | 2 | 1 | no | — |
| 286 | Q8 | — | 58 | 1 | no | — |
| 287 | Q8 | — | 58 | 1 | no | — |
| 288 | D4 | — | 2 | 1 | no | — |
| 289 | D4 | — | 2 | 1 | no | — |
| 290 | D4 | — | 2 | 1 | no | — |
| 291 | D4 | — | 2 | 1 | no | — |
| 292 | D4 | — | 8 | 1 | no | — |
| 293 | D4 | — | 8 | 1 | no | — |
| 294 | D4 | — | 232 | 1 | no | — |
| 295 | D4 | — | 232 | 1 | no | — |
| 296 | C2×C4 | — | 2 | 1 | no | — |
| 297 | C2×C4 | — | 2 | 1 | no | — |
| 298 | C2×C4 | — | 29 | 1 | no | — |
| 299 | C2×C4 | — | 29 | 1 | no | — |
| 300 | C2×C4 | — | 29 | 1 | no | — |
| 301 | C2×C4 | — | 58 | 1 | no | — |
| 302 | C2×C4 | — | 58 | 1 | no | — |
| 303 | C2×C4 | — | 58 | 1 | no | — |
| 304 | C2×C4 | — | 58 | 1 | no | — |
| 305 | C2×C4 | — | 58 | 1 | no | — |
| 306 | C2×C4 | — | 58 | 1 | no | — |
| 307 | C2×C4 | — | 232 | 1 | no | — |
| 308 | C2×C4 | — | 232 | 1 | no | — |
| 309 | C2×C4 | D4×D29 | 1 | 1 | yes | characteristic |
| 310 | C2×C4 | D4×D29 | 1 | 1 | yes | characteristic |
| 311 | C2×C4 | C23×D29 | 1 | 1 | yes | characteristic |
| 312 | C8 | — | 2 | 1 | no | — |
| 313 | C8 | — | 2 | 1 | no | — |
| 314 | C8 | — | 58 | 1 | no | — |
| 315 | C8 | — | 58 | 1 | no | — |
| 316 | C22 | — | 4 | 1 | no | — |
| 317 | C22 | — | 4 | 1 | no | — |
| 318 | C22 | — | 4 | 1 | no | — |
| 319 | C22 | — | 4 | 1 | no | — |
| 320 | C22 | — | 4 | 1 | no | — |
| 321 | C22 | — | 4 | 1 | no | — |
| 322 | C22 | — | 58 | 1 | no | — |
| 323 | C22 | — | 58 | 1 | no | — |
| 324 | C22 | — | 58 | 1 | no | — |
| 325 | C22 | C2×D4×D29 | 1 | 1 | yes | characteristic |
| 326 | C4 | — | 2 | 1 | no | — |
| 327 | C4 | — | 2 | 1 | no | — |
| 328 | C4 | — | 4 | 1 | no | — |
| 329 | C4 | — | 4 | 1 | no | — |
| 330 | C4 | — | 58 | 1 | no | — |
| 331 | C4 | — | 58 | 1 | no | — |
| 332 | C4 | — | 58 | 1 | no | — |
| 333 | C4 | — | 116 | 1 | no | — |
| 334 | C4 | — | 116 | 1 | no | — |
| 335 | C4 | — | 116 | 1 | no | — |
| 336 | C4 | — | 116 | 1 | no | — |
| 337 | C4 | #11745359 | 1 | 1 | yes | characteristic |
| 338 | C4 | #11745365 | 1 | 1 | yes | characteristic |
| 339 | C2 | — | 8 | 1 | no | — |
| 340 | C2 | — | 8 | 1 | no | — |
| 341 | C2 | — | 116 | 1 | no | — |
| 342 | C2 | #14271742 | 1 | 1 | yes | characteristic |
| 343 | C2 | #14271969 | 1 | 1 | yes | characteristic |
| 344 | C2 | #14271973 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta