| 1 | #23750314 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #23750276 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #23750032 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #23749960 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #23749957 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #23749949 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #23749940 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #23749924 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #23749919 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #23749871 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #23749855 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #23749724 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #23749694 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #107×D149 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #428×C149 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×#14558736 | — | 2 | 1 | no | — |
| 17 | C2×#14558725 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×C8×D149 | C22 | 1 | 1 | yes | characteristic |
| 19 | #18011910 | C22 | 1 | 1 | yes | characteristic |
| 20 | #18011904 | — | 2 | 1 | no | — |
| 21 | #18011903 | — | 2 | 1 | no | — |
| 22 | #18011902 | C22 | 1 | 1 | yes | characteristic |
| 23 | #18011896 | — | 2 | 1 | no | — |
| 24 | #18011894 | — | 2 | 1 | no | — |
| 25 | #18011893 | — | 2 | 1 | no | — |
| 26 | #18011891 | C22 | 1 | 1 | yes | characteristic |
| 27 | #18011890 | C22 | 1 | 1 | yes | characteristic |
| 28 | #18011889 | — | 2 | 1 | no | — |
| 29 | #18011886 | C22 | 1 | 1 | yes | characteristic |
| 30 | #18011885 | C22 | 1 | 1 | yes | characteristic |
| 31 | #18011876 | C22 | 1 | 1 | yes | characteristic |
| 32 | #18011873 | C22 | 1 | 1 | yes | characteristic |
| 33 | C4×C22⋊D149 | C22 | 1 | 1 | yes | characteristic |
| 34 | #18011868 | — | 2 | 1 | no | — |
| 35 | C4⋊C4×D149 | C22 | 1 | 1 | yes | characteristic |
| 36 | C4⋊C4×D149 | C22 | 1 | 1 | yes | characteristic |
| 37 | #18011845 | C22 | 1 | 1 | yes | characteristic |
| 38 | #18011844 | C22 | 1 | 1 | yes | characteristic |
| 39 | #18011844 | C22 | 1 | 1 | yes | characteristic |
| 40 | #18011844 | C22 | 1 | 1 | yes | characteristic |
| 41 | #18011842 | C22 | 1 | 1 | yes | characteristic |
| 42 | #18011840 | C22 | 1 | 1 | yes | characteristic |
| 43 | #18011836 | C22 | 1 | 1 | yes | characteristic |
| 44 | #18011834 | C22 | 1 | 1 | yes | characteristic |
| 45 | #18011834 | C22 | 1 | 1 | yes | characteristic |
| 46 | #18011833 | C22 | 1 | 1 | yes | characteristic |
| 47 | #18011831 | C22 | 1 | 1 | yes | characteristic |
| 48 | #18011831 | C22 | 1 | 1 | yes | characteristic |
| 49 | C22⋊#11924746 | C22 | 1 | 1 | yes | characteristic |
| 50 | #18011823 | C22 | 1 | 1 | yes | characteristic |
| 51 | #18011821 | C22 | 1 | 1 | yes | characteristic |
| 52 | C2×M16×C149 | C22 | 1 | 1 | yes | characteristic |
| 53 | #117×C149 | C22 | 1 | 1 | yes | characteristic |
| 54 | C2×C4⋊C4×C149 | C22 | 1 | 1 | yes | characteristic |
| 55 | #107×C149 | C22 | 1 | 1 | yes | characteristic |
| 56 | #107×C149 | C22 | 1 | 1 | yes | characteristic |
| 57 | #106×C149 | C22 | 1 | 1 | yes | characteristic |
| 58 | #106×C149 | C22 | 1 | 1 | yes | characteristic |
| 59 | #14558736 | — | 4 | 4 | no | — |
| 60 | C2×Dic298 | — | 2 | 1 | no | — |
| 61 | C2×Dic298 | C23 | 1 | 1 | yes | characteristic |
| 62 | C2×D596 | — | 2 | 1 | no | — |
| 63 | C2×D596 | C23 | 1 | 1 | yes | characteristic |
| 64 | C2×C22⋊D149 | — | 2 | 1 | no | — |
| 65 | C2×C22⋊D149 | D4 | 1 | 1 | yes | characteristic |
| 66 | C2×C4×D149 | — | 2 | 1 | no | — |
| 67 | C2×C4×D149 | — | 2 | 1 | no | — |
| 68 | C2×C4×D149 | — | 2 | 1 | no | — |
| 69 | C2×C4×D149 | C23 | 1 | 1 | yes | characteristic |
| 70 | #14558725 | — | 2 | 2 | no | — |
| 71 | C2×#11924746 | C23 | 1 | 1 | yes | characteristic |
| 72 | C2×#11924746 | C23 | 1 | 1 | yes | characteristic |
| 73 | C8×D149 | — | 2 | 2 | no | — |
| 74 | C4⋊Dic149 | — | 2 | 1 | no | — |
| 75 | C4⋊Dic149 | — | 2 | 1 | no | — |
| 76 | C4⋊Dic149 | C23 | 1 | 1 | yes | characteristic |
| 77 | C4⋊Dic149 | C23 | 1 | 1 | yes | characteristic |
| 78 | #14558715 | — | 2 | 1 | no | — |
| 79 | #14558715 | — | 2 | 1 | no | — |
| 80 | #14558715 | — | 2 | 1 | no | — |
| 81 | #14558715 | — | 2 | 1 | no | — |
| 82 | #14558715 | — | 2 | 1 | no | — |
| 83 | #14558715 | — | 2 | 1 | no | — |
| 84 | #14558715 | D4 | 1 | 1 | yes | characteristic |
| 85 | C22⋊Dic149 | — | 2 | 1 | no | — |
| 86 | C22⋊Dic149 | D4 | 1 | 1 | yes | characteristic |
| 87 | #14558713 | — | 2 | 1 | no | — |
| 88 | #14558713 | — | 2 | 1 | no | — |
| 89 | #14558713 | — | 2 | 1 | no | — |
| 90 | #14558713 | — | 2 | 1 | no | — |
| 91 | #14558713 | D4 | 1 | 1 | yes | characteristic |
| 92 | C4×Dic149 | — | 2 | 1 | no | — |
| 93 | C4×Dic149 | C23 | 1 | 1 | yes | characteristic |
| 94 | C22×C4×C149 | — | 2 | 1 | no | — |
| 95 | C22×C4×C149 | C23 | 1 | 1 | yes | characteristic |
| 96 | M16×C149 | — | 2 | 2 | no | — |
| 97 | C2×C8×C149 | C23 | 1 | 1 | yes | characteristic |
| 98 | C2×C8×C149 | C23 | 1 | 1 | yes | characteristic |
| 99 | C4⋊C4×C149 | — | 2 | 1 | no | — |
| 100 | C4⋊C4×C149 | C23 | 1 | 1 | yes | characteristic |
| 101 | C4⋊C4×C149 | C23 | 1 | 1 | yes | characteristic |
| 102 | C4⋊C4×C149 | C23 | 1 | 1 | yes | characteristic |
| 103 | C4⋊C4×C149 | C23 | 1 | 1 | yes | characteristic |
| 104 | C22⋊C4×C149 | — | 2 | 1 | no | — |
| 105 | C42×C149 | — | 2 | 1 | no | — |
| 106 | C22×D149 | — | 2 | 1 | no | — |
| 107 | C22×D149 | C2×D4 | 1 | 1 | yes | characteristic |
| 108 | Dic298 | — | 2 | 1 | no | — |
| 109 | Dic298 | — | 2 | 1 | no | — |
| 110 | Dic298 | — | 4 | 2 | no | — |
| 111 | D596 | — | 2 | 1 | no | — |
| 112 | D596 | — | 2 | 1 | no | — |
| 113 | D596 | — | 4 | 2 | no | — |
| 114 | C22⋊D149 | — | 2 | 2 | no | — |
| 115 | C22⋊D149 | — | 4 | 2 | no | — |
| 116 | C2×Dic149 | — | 2 | 1 | no | — |
| 117 | C2×Dic149 | — | 2 | 1 | no | — |
| 118 | C2×Dic149 | — | 2 | 1 | no | — |
| 119 | C2×Dic149 | C2×D4 | 1 | 1 | yes | characteristic |
| 120 | C2×Dic149 | C2×D4 | 1 | 1 | yes | characteristic |
| 121 | C2×Dic149 | C2×D4 | 1 | 1 | yes | characteristic |
| 122 | C4×D149 | — | 2 | 1 | no | — |
| 123 | C4×D149 | — | 2 | 1 | no | — |
| 124 | C4×D149 | — | 4 | 2 | no | — |
| 125 | C4×D149 | — | 4 | 2 | no | — |
| 126 | C4×D149 | — | 4 | 2 | no | — |
| 127 | #11924746 | — | 2 | 1 | no | — |
| 128 | #11924746 | — | 2 | 1 | no | — |
| 129 | C23×C149 | C2×D4 | 1 | 1 | yes | characteristic |
| 130 | C2×C4×C149 | — | 2 | 1 | no | — |
| 131 | C2×C4×C149 | — | 2 | 1 | no | — |
| 132 | C2×C4×C149 | — | 2 | 1 | no | — |
| 133 | C2×C4×C149 | — | 2 | 1 | no | — |
| 134 | C2×C4×C149 | — | 2 | 1 | no | — |
| 135 | C2×C4×C149 | — | 2 | 1 | no | — |
| 136 | C2×C4×C149 | — | 4 | 2 | no | — |
| 137 | C2×C4×C149 | C2×D4 | 1 | 1 | yes | characteristic |
| 138 | C2×C4×C149 | C24 | 1 | 1 | yes | characteristic |
| 139 | C8×C149 | — | 2 | 1 | no | — |
| 140 | C8×C149 | #41 | 1 | 2 | yes | complemented |
| 141 | C22×C149 | — | 2 | 1 | no | — |
| 142 | C22×C149 | — | 2 | 1 | no | — |
| 143 | C22×C149 | — | 2 | 1 | no | — |
| 144 | C22×C149 | C22×D4 | 1 | 1 | yes | characteristic |
| 145 | C2×D149 | — | 2 | 1 | no | — |
| 146 | C2×D149 | — | 2 | 1 | no | — |
| 147 | C2×D149 | — | 4 | 1 | no | — |
| 148 | C2×D149 | — | 4 | 1 | no | — |
| 149 | C2×D149 | — | 4 | 1 | no | — |
| 150 | C2×D149 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 151 | C4×C149 | — | 2 | 1 | no | — |
| 152 | C4×C149 | — | 4 | 1 | no | — |
| 153 | C4×C149 | — | 4 | 1 | no | — |
| 154 | C4×C149 | — | 4 | 1 | no | — |
| 155 | C4×C149 | — | 4 | 1 | no | — |
| 156 | C4×C149 | C2×#41 | 1 | 1 | yes | characteristic |
| 157 | C4×C149 | 2−1+4 | 1 | 1 | yes | characteristic |
| 158 | Dic149 | — | 2 | 1 | no | — |
| 159 | Dic149 | — | 2 | 1 | no | — |
| 160 | Dic149 | — | 2 | 1 | no | — |
| 161 | Dic149 | — | 4 | 1 | no | — |
| 162 | Dic149 | — | 4 | 1 | no | — |
| 163 | Dic149 | — | 4 | 1 | no | — |
| 164 | C2×C149 | — | 4 | 1 | no | — |
| 165 | C2×C149 | #547 | 1 | 1 | yes | characteristic |
| 166 | C2×C149 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 167 | C2×C149 | #578 | 1 | 1 | yes | characteristic |
| 168 | D149 | — | 2 | 2 | no | — |
| 169 | D149 | — | 8 | 1 | no | — |
| 170 | C149 | #3343 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 171 | #3343 | — | 149 | 1 | no | maximal, Sylow |
| 172 | #552 | — | 149 | 1 | no | — |
| 173 | #547 | — | 149 | 1 | no | — |
| 174 | #501 | — | 149 | 1 | no | — |
| 175 | #484 | — | 149 | 1 | no | — |
| 176 | #483 | — | 149 | 1 | no | — |
| 177 | #482 | — | 149 | 1 | no | — |
| 178 | #480 | — | 149 | 1 | no | — |
| 179 | #478 | — | 149 | 1 | no | — |
| 180 | #477 | — | 149 | 1 | no | — |
| 181 | #468 | — | 149 | 1 | no | — |
| 182 | #465 | — | 149 | 1 | no | — |
| 183 | #440 | — | 149 | 1 | no | — |
| 184 | #435 | — | 149 | 1 | no | — |
| 185 | #428 | D149 | 1 | 1 | yes | characteristic, complemented |
| 186 | C2×#107 | — | 149 | 1 | no | — |
| 187 | C2×#41 | — | 298 | 1 | no | — |
| 188 | C2×SD16 | — | 149 | 1 | no | — |
| 189 | C2×M16 | C2×D149 | 1 | 1 | yes | characteristic |
| 190 | C22×C8 | — | 149 | 1 | no | — |
| 191 | C4⋊Q8 | — | 149 | 1 | no | — |
| 192 | #126 | — | 298 | 1 | no | — |
| 193 | #125 | — | 298 | 1 | no | — |
| 194 | #125 | — | 149 | 1 | no | — |
| 195 | #123 | — | 298 | 1 | no | — |
| 196 | #123 | — | 298 | 1 | no | — |
| 197 | #123 | — | 298 | 1 | no | — |
| 198 | C22⋊Q8 | — | 298 | 1 | no | — |
| 199 | C22⋊Q8 | — | 149 | 1 | no | — |
| 200 | C22⋊Q8 | — | 149 | 1 | no | — |
| 201 | #121 | — | 149 | 1 | no | — |
| 202 | #121 | — | 149 | 1 | no | — |
| 203 | C4×Q8 | — | 149 | 1 | no | — |
| 204 | C4×D4 | — | 149 | 1 | no | — |
| 205 | C4×D4 | — | 149 | 1 | no | — |
| 206 | #117 | — | 298 | 1 | no | — |
| 207 | #117 | C2×D149 | 1 | 1 | yes | characteristic |
| 208 | C2×C4⋊C4 | — | 149 | 1 | no | — |
| 209 | C2×C4⋊C4 | — | 149 | 1 | no | — |
| 210 | C2×C4⋊C4 | C2×D149 | 1 | 1 | yes | characteristic |
| 211 | #107 | — | 149 | 1 | no | — |
| 212 | #107 | — | 149 | 1 | no | — |
| 213 | #107 | — | 149 | 1 | no | — |
| 214 | #107 | — | 149 | 1 | no | — |
| 215 | #107 | C2×D149 | 1 | 1 | yes | characteristic |
| 216 | #107 | C2×D149 | 1 | 1 | yes | characteristic |
| 217 | #106 | — | 149 | 1 | no | — |
| 218 | #106 | C2×D149 | 1 | 1 | yes | characteristic |
| 219 | #106 | C2×D149 | 1 | 1 | yes | characteristic |
| 220 | C4⋊C8 | — | 149 | 1 | no | — |
| 221 | #103 | — | 149 | 1 | no | — |
| 222 | #103 | — | 149 | 1 | no | — |
| 223 | #103 | — | 149 | 1 | no | — |
| 224 | #102 | — | 149 | 1 | no | — |
| 225 | #102 | — | 149 | 1 | no | — |
| 226 | #102 | — | 149 | 1 | no | — |
| 227 | C22⋊C8 | — | 149 | 1 | no | — |
| 228 | C22⋊C8 | — | 149 | 1 | no | — |
| 229 | #97 | — | 149 | 1 | no | — |
| 230 | #41 | — | 596 | 4 | no | — |
| 231 | C2×Q8 | — | 298 | 1 | no | — |
| 232 | C2×Q8 | — | 149 | 1 | no | — |
| 233 | C2×D4 | — | 298 | 1 | no | — |
| 234 | C2×D4 | — | 298 | 1 | no | — |
| 235 | C2×D4 | — | 149 | 1 | no | — |
| 236 | C2×D4 | — | 149 | 1 | no | — |
| 237 | C22×C4 | — | 2 | 1 | no | — |
| 238 | C22×C4 | — | 298 | 1 | no | — |
| 239 | C22×C4 | — | 298 | 1 | no | — |
| 240 | C22×C4 | — | 298 | 1 | no | — |
| 241 | C22×C4 | — | 149 | 1 | no | — |
| 242 | C22×C4 | C22×D149 | 1 | 1 | yes | characteristic |
| 243 | SD16 | — | 298 | 2 | no | — |
| 244 | M16 | — | 2 | 2 | no | — |
| 245 | C2×C8 | — | 298 | 2 | no | — |
| 246 | C2×C8 | — | 149 | 1 | no | — |
| 247 | C2×C8 | — | 149 | 1 | no | — |
| 248 | C2×C8 | C22×D149 | 1 | 1 | yes | characteristic |
| 249 | C2×C8 | C22×D149 | 1 | 1 | yes | characteristic |
| 250 | C4⋊C4 | — | 2 | 1 | no | — |
| 251 | C4⋊C4 | — | 298 | 1 | no | — |
| 252 | C4⋊C4 | — | 298 | 1 | no | — |
| 253 | C4⋊C4 | — | 298 | 1 | no | — |
| 254 | C4⋊C4 | — | 298 | 1 | no | — |
| 255 | C4⋊C4 | — | 298 | 1 | no | — |
| 256 | C4⋊C4 | — | 298 | 1 | no | — |
| 257 | C4⋊C4 | — | 298 | 1 | no | — |
| 258 | C4⋊C4 | — | 298 | 1 | no | — |
| 259 | C4⋊C4 | — | 149 | 1 | no | — |
| 260 | C4⋊C4 | — | 149 | 1 | no | — |
| 261 | C4⋊C4 | — | 149 | 1 | no | — |
| 262 | C4⋊C4 | C22×D149 | 1 | 1 | yes | characteristic |
| 263 | C4⋊C4 | C22×D149 | 1 | 1 | yes | characteristic |
| 264 | C4⋊C4 | C22×D149 | 1 | 1 | yes | characteristic |
| 265 | C4⋊C4 | C22×D149 | 1 | 1 | yes | characteristic |
| 266 | C22⋊C4 | — | 2 | 1 | no | — |
| 267 | C22⋊C4 | — | 298 | 1 | no | — |
| 268 | C22⋊C4 | — | 298 | 1 | no | — |
| 269 | C22⋊C4 | — | 298 | 1 | no | — |
| 270 | C22⋊C4 | — | 298 | 1 | no | — |
| 271 | C22⋊C4 | — | 298 | 1 | no | — |
| 272 | C22⋊C4 | — | 149 | 1 | no | — |
| 273 | C22⋊C4 | — | 149 | 1 | no | — |
| 274 | C42 | — | 2 | 1 | no | — |
| 275 | C42 | — | 298 | 1 | no | — |
| 276 | C42 | — | 149 | 1 | no | — |
| 277 | C23 | — | 298 | 1 | no | — |
| 278 | C23 | — | 149 | 1 | no | — |
| 279 | C23 | D4×D149 | 1 | 1 | yes | characteristic |
| 280 | Q8 | — | 298 | 1 | no | — |
| 281 | Q8 | — | 298 | 1 | no | — |
| 282 | Q8 | — | 596 | 2 | no | — |
| 283 | D4 | — | 298 | 2 | no | — |
| 284 | D4 | — | 298 | 1 | no | — |
| 285 | D4 | — | 298 | 1 | no | — |
| 286 | D4 | — | 596 | 2 | no | — |
| 287 | D4 | — | 596 | 2 | no | — |
| 288 | C2×C4 | — | 2 | 1 | no | — |
| 289 | C2×C4 | — | 2 | 1 | no | — |
| 290 | C2×C4 | — | 2 | 1 | no | — |
| 291 | C2×C4 | — | 2 | 1 | no | — |
| 292 | C2×C4 | — | 2 | 1 | no | — |
| 293 | C2×C4 | — | 2 | 1 | no | — |
| 294 | C2×C4 | — | 4 | 2 | no | — |
| 295 | C2×C4 | — | 298 | 1 | no | — |
| 296 | C2×C4 | — | 298 | 1 | no | — |
| 297 | C2×C4 | — | 298 | 1 | no | — |
| 298 | C2×C4 | — | 298 | 1 | no | — |
| 299 | C2×C4 | — | 298 | 1 | no | — |
| 300 | C2×C4 | — | 596 | 2 | no | — |
| 301 | C2×C4 | — | 596 | 2 | no | — |
| 302 | C2×C4 | — | 596 | 2 | no | — |
| 303 | C2×C4 | — | 149 | 1 | no | — |
| 304 | C2×C4 | — | 149 | 1 | no | — |
| 305 | C2×C4 | — | 149 | 1 | no | — |
| 306 | C2×C4 | D4×D149 | 1 | 1 | yes | characteristic |
| 307 | C2×C4 | C23×D149 | 1 | 1 | yes | characteristic |
| 308 | C8 | — | 2 | 1 | no | — |
| 309 | C8 | — | 298 | 1 | no | — |
| 310 | C8 | — | 298 | 1 | no | — |
| 311 | C8 | #14558736 | 1 | 2 | yes | complemented |
| 312 | C22 | — | 2 | 1 | no | — |
| 313 | C22 | — | 2 | 1 | no | — |
| 314 | C22 | — | 2 | 1 | no | — |
| 315 | C22 | — | 298 | 1 | no | — |
| 316 | C22 | — | 298 | 1 | no | — |
| 317 | C22 | — | 596 | 1 | no | — |
| 318 | C22 | — | 596 | 1 | no | — |
| 319 | C22 | — | 596 | 1 | no | — |
| 320 | C22 | — | 149 | 2 | no | — |
| 321 | C22 | C2×D4×D149 | 1 | 1 | yes | characteristic |
| 322 | C4 | — | 2 | 1 | no | — |
| 323 | C4 | — | 4 | 1 | no | — |
| 324 | C4 | — | 4 | 1 | no | — |
| 325 | C4 | — | 4 | 1 | no | — |
| 326 | C4 | — | 4 | 1 | no | — |
| 327 | C4 | — | 298 | 1 | no | — |
| 328 | C4 | — | 298 | 1 | no | — |
| 329 | C4 | — | 298 | 1 | no | — |
| 330 | C4 | — | 596 | 1 | no | — |
| 331 | C4 | — | 596 | 1 | no | — |
| 332 | C4 | — | 596 | 1 | no | — |
| 333 | C4 | C2×#14558736 | 1 | 1 | yes | characteristic |
| 334 | C4 | #18011959 | 1 | 1 | yes | characteristic |
| 335 | C2 | — | 4 | 1 | no | — |
| 336 | C2 | — | 298 | 2 | no | — |
| 337 | C2 | — | 1192 | 1 | no | — |
| 338 | C2 | #23750276 | 1 | 1 | yes | characteristic |
| 339 | C2 | AGL(1,ℤ/8)×D149 | 1 | 1 | yes | characteristic |
| 340 | C2 | #23750441 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta