| 1 | #2159×C151 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#364×C151 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×#361×C151 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #2140×C151 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | #1970×C151 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | #1945×C151 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #1387×C151 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C22×D8×C151 | C22 | 1 | 1 | yes | characteristic |
| 9 | C2×M32×C151 | C22 | 1 | 1 | yes | characteristic |
| 10 | C2×M32×C151 | C22 | 1 | 1 | yes | characteristic |
| 11 | C2×#108×C151 | C22 | 1 | 1 | yes | characteristic |
| 12 | #427×C151 | C22 | 1 | 1 | yes | characteristic |
| 13 | C2×#107×C151 | C22 | 1 | 1 | yes | characteristic |
| 14 | #424×C151 | — | 2 | 1 | no | — |
| 15 | C2×#102×C151 | — | 2 | 1 | no | — |
| 16 | C2×C4×C8×C151 | C22 | 1 | 1 | yes | characteristic |
| 17 | #390×C151 | — | 2 | 1 | no | — |
| 18 | #367×C151 | — | 2 | 1 | no | — |
| 19 | #366×C151 | — | 2 | 1 | no | — |
| 20 | #364×C151 | — | 2 | 2 | no | — |
| 21 | #361×C151 | — | 2 | 2 | no | — |
| 22 | #357×C151 | — | 2 | 1 | no | — |
| 23 | #357×C151 | — | 2 | 1 | no | — |
| 24 | #339×C151 | — | 2 | 1 | no | — |
| 25 | C22×D4×C151 | — | 2 | 1 | no | — |
| 26 | C2×D8×C151 | — | 2 | 1 | no | — |
| 27 | C2×D8×C151 | — | 2 | 1 | no | — |
| 28 | C2×D8×C151 | — | 2 | 1 | no | — |
| 29 | C2×D8×C151 | — | 2 | 1 | no | — |
| 30 | C2×D8×C151 | — | 2 | 1 | no | — |
| 31 | C2×D8×C151 | Q8 | 1 | 2 | yes | — |
| 32 | C2×M16×C151 | — | 2 | 1 | no | — |
| 33 | C22×C8×C151 | D4 | 1 | 1 | yes | characteristic |
| 34 | C22×C8×C151 | C23 | 1 | 1 | yes | characteristic |
| 35 | #117×C151 | — | 2 | 1 | no | — |
| 36 | C2×C4⋊C4×C151 | — | 2 | 1 | no | — |
| 37 | C2×C22⋊C4×C151 | — | 4 | 2 | no | — |
| 38 | C2×C42×C151 | D4 | 1 | 1 | yes | characteristic |
| 39 | M32×C151 | — | 2 | 1 | no | — |
| 40 | M32×C151 | — | 2 | 1 | no | — |
| 41 | M32×C151 | — | 2 | 1 | no | — |
| 42 | M32×C151 | D4 | 1 | 2 | yes | — |
| 43 | C2×C16×C151 | — | 2 | 1 | no | — |
| 44 | C2×C16×C151 | — | 2 | 1 | no | — |
| 45 | #108×C151 | — | 2 | 1 | no | — |
| 46 | #108×C151 | — | 2 | 1 | no | — |
| 47 | #107×C151 | — | 2 | 1 | no | — |
| 48 | #107×C151 | — | 2 | 1 | no | — |
| 49 | #107×C151 | D4 | 1 | 1 | yes | characteristic |
| 50 | #107×C151 | D4 | 1 | 1 | yes | characteristic |
| 51 | #106×C151 | — | 2 | 1 | no | — |
| 52 | C4⋊C8×C151 | — | 4 | 2 | no | — |
| 53 | #102×C151 | — | 4 | 2 | no | — |
| 54 | C4×C8×C151 | — | 2 | 1 | no | — |
| 55 | C4×C8×C151 | — | 2 | 1 | no | — |
| 56 | C24×C151 | — | 4 | 1 | no | — |
| 57 | C2×D4×C151 | — | 2 | 2 | no | — |
| 58 | C2×D4×C151 | — | 4 | 1 | no | — |
| 59 | C2×D4×C151 | — | 4 | 1 | no | — |
| 60 | C2×D4×C151 | — | 4 | 1 | no | — |
| 61 | C2×D4×C151 | — | 4 | 1 | no | — |
| 62 | C2×D4×C151 | — | 4 | 1 | no | — |
| 63 | C22×C4×C151 | — | 2 | 1 | no | — |
| 64 | C22×C4×C151 | — | 4 | 1 | no | — |
| 65 | C22×C4×C151 | C2×D4 | 1 | 1 | yes | characteristic |
| 66 | D8×C151 | — | 2 | 2 | no | — |
| 67 | D8×C151 | — | 2 | 2 | no | — |
| 68 | D8×C151 | — | 4 | 1 | no | — |
| 69 | D8×C151 | — | 4 | 1 | no | — |
| 70 | M16×C151 | — | 4 | 1 | no | — |
| 71 | M16×C151 | — | 4 | 1 | no | — |
| 72 | C2×C8×C151 | — | 2 | 1 | no | — |
| 73 | C2×C8×C151 | — | 2 | 1 | no | — |
| 74 | C2×C8×C151 | — | 4 | 1 | no | — |
| 75 | C2×C8×C151 | D8 | 1 | 2 | yes | — |
| 76 | C2×C8×C151 | C2×D4 | 1 | 1 | yes | characteristic |
| 77 | C2×C8×C151 | C2×D4 | 1 | 1 | yes | characteristic |
| 78 | C2×C8×C151 | C2×Q8 | 1 | 1 | yes | characteristic |
| 79 | C2×C8×C151 | #41 | 1 | 1 | yes | characteristic |
| 80 | C2×C8×C151 | #41 | 1 | 1 | yes | characteristic |
| 81 | C2×C8×C151 | #41 | 1 | 1 | yes | characteristic |
| 82 | C4⋊C4×C151 | — | 2 | 1 | no | — |
| 83 | C4⋊C4×C151 | — | 2 | 1 | no | — |
| 84 | C4⋊C4×C151 | — | 4 | 1 | no | — |
| 85 | C4⋊C4×C151 | — | 4 | 1 | no | — |
| 86 | C22⋊C4×C151 | — | 4 | 1 | no | — |
| 87 | C22⋊C4×C151 | — | 8 | 4 | no | — |
| 88 | C42×C151 | — | 2 | 1 | no | — |
| 89 | C42×C151 | — | 2 | 1 | no | — |
| 90 | C42×C151 | — | 4 | 1 | no | — |
| 91 | C16×C151 | — | 2 | 2 | no | — |
| 92 | C16×C151 | — | 4 | 1 | no | — |
| 93 | C23×C151 | — | 4 | 2 | no | — |
| 94 | C23×C151 | — | 8 | 2 | no | — |
| 95 | C23×C151 | — | 8 | 2 | no | — |
| 96 | C23×C151 | — | 8 | 1 | no | — |
| 97 | C23×C151 | — | 8 | 1 | no | — |
| 98 | C23×C151 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 99 | D4×C151 | — | 4 | 2 | no | — |
| 100 | D4×C151 | — | 4 | 2 | no | — |
| 101 | D4×C151 | — | 8 | 1 | no | — |
| 102 | D4×C151 | — | 8 | 1 | no | — |
| 103 | C2×C4×C151 | — | 2 | 2 | no | — |
| 104 | C2×C4×C151 | — | 4 | 1 | no | — |
| 105 | C2×C4×C151 | — | 4 | 1 | no | — |
| 106 | C2×C4×C151 | — | 4 | 1 | no | — |
| 107 | C2×C4×C151 | — | 4 | 1 | no | — |
| 108 | C2×C4×C151 | — | 8 | 2 | no | — |
| 109 | C2×C4×C151 | — | 8 | 1 | no | — |
| 110 | C2×C4×C151 | #121 | 1 | 1 | yes | characteristic |
| 111 | C2×C4×C151 | #121 | 1 | 1 | yes | characteristic |
| 112 | C2×C4×C151 | C22⋊Q8 | 1 | 1 | yes | characteristic |
| 113 | C2×C4×C151 | C2×D8 | 1 | 1 | yes | characteristic |
| 114 | C2×C4×C151 | #135 | 1 | 1 | yes | characteristic |
| 115 | C2×C4×C151 | #137 | 1 | 1 | yes | characteristic |
| 116 | C8×C151 | — | 2 | 2 | no | — |
| 117 | C8×C151 | — | 8 | 1 | no | — |
| 118 | C8×C151 | #121 | 1 | 1 | yes | characteristic |
| 119 | C8×C151 | C22⋊Q8 | 1 | 1 | yes | characteristic |
| 120 | C8×C151 | C22⋊Q8 | 1 | 1 | yes | characteristic |
| 121 | C8×C151 | #126 | 1 | 1 | yes | characteristic |
| 122 | C22×C151 | — | 2 | 1 | no | — |
| 123 | C22×C151 | — | 2 | 1 | no | — |
| 124 | C22×C151 | — | 8 | 4 | no | — |
| 125 | C22×C151 | — | 8 | 2 | no | — |
| 126 | C22×C151 | — | 16 | 2 | no | — |
| 127 | C22×C151 | — | 16 | 1 | no | — |
| 128 | C22×C151 | — | 16 | 1 | no | — |
| 129 | C22×C151 | #459 | 1 | 1 | yes | characteristic |
| 130 | C22×C151 | #468 | 1 | 1 | yes | characteristic |
| 131 | C22×C151 | #478 | 1 | 1 | yes | characteristic |
| 132 | C4×C151 | — | 4 | 2 | no | — |
| 133 | C4×C151 | — | 8 | 1 | no | — |
| 134 | C4×C151 | — | 8 | 1 | no | — |
| 135 | C4×C151 | — | 16 | 1 | no | — |
| 136 | C4×C151 | #396 | 1 | 1 | yes | characteristic |
| 137 | C4×C151 | #464 | 1 | 1 | yes | characteristic |
| 138 | C4×C151 | #466 | 1 | 1 | yes | characteristic |
| 139 | C4×C151 | #474 | 1 | 1 | yes | characteristic |
| 140 | C2×C151 | — | 2 | 1 | no | — |
| 141 | C2×C151 | — | 2 | 1 | no | — |
| 142 | C2×C151 | — | 16 | 2 | no | — |
| 143 | C2×C151 | #2067 | 1 | 1 | yes | characteristic |
| 144 | C2×C151 | #2212 | 1 | 1 | yes | characteristic |
| 145 | C2×C151 | #2213 | 1 | 1 | yes | characteristic |
| 146 | #13478 | C151 | 1 | 1 | yes | maximal, characteristic, direct product factor, Sylow |
| 147 | C151 | #13478 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 148 | #2159 | C2×C151 | 1 | 1 | yes | characteristic, complemented |
| 149 | C2×#364 | C2×C151 | 1 | 1 | yes | characteristic, complemented |
| 150 | C2×#361 | C2×C151 | 1 | 1 | yes | characteristic |
| 151 | #2140 | C2×C151 | 1 | 1 | yes | characteristic |
| 152 | #1970 | C2×C151 | 1 | 1 | yes | characteristic |
| 153 | #1945 | C2×C151 | 1 | 1 | yes | characteristic, complemented |
| 154 | #1387 | C2×C151 | 1 | 1 | yes | characteristic, complemented |
| 155 | C22×D8 | C22×C151 | 1 | 1 | yes | characteristic |
| 156 | C2×M32 | C22×C151 | 1 | 1 | yes | characteristic |
| 157 | C2×M32 | C22×C151 | 1 | 1 | yes | characteristic |
| 158 | C2×#108 | C22×C151 | 1 | 1 | yes | characteristic |
| 159 | #427 | C22×C151 | 1 | 1 | yes | characteristic |
| 160 | C2×#107 | C22×C151 | 1 | 1 | yes | characteristic |
| 161 | #424 | — | 2 | 1 | no | — |
| 162 | C2×#102 | — | 2 | 1 | no | — |
| 163 | C2×C4×C8 | C22×C151 | 1 | 1 | yes | characteristic |
| 164 | #390 | — | 2 | 1 | no | — |
| 165 | #367 | — | 2 | 1 | no | — |
| 166 | #366 | — | 2 | 1 | no | — |
| 167 | #364 | — | 2 | 2 | no | — |
| 168 | #361 | — | 2 | 2 | no | — |
| 169 | #357 | — | 2 | 1 | no | — |
| 170 | #357 | — | 2 | 1 | no | — |
| 171 | #339 | — | 2 | 1 | no | — |
| 172 | C22×D4 | — | 2 | 1 | no | — |
| 173 | C2×D8 | — | 2 | 1 | no | — |
| 174 | C2×D8 | — | 2 | 1 | no | — |
| 175 | C2×D8 | — | 2 | 1 | no | — |
| 176 | C2×D8 | — | 2 | 1 | no | — |
| 177 | C2×D8 | — | 2 | 1 | no | — |
| 178 | C2×D8 | Q8×C151 | 1 | 2 | yes | — |
| 179 | C2×M16 | — | 2 | 1 | no | — |
| 180 | C22×C8 | D4×C151 | 1 | 1 | yes | characteristic |
| 181 | C22×C8 | C23×C151 | 1 | 1 | yes | characteristic |
| 182 | #117 | — | 2 | 1 | no | — |
| 183 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 184 | C2×C22⋊C4 | — | 4 | 2 | no | — |
| 185 | C2×C42 | D4×C151 | 1 | 1 | yes | characteristic |
| 186 | M32 | — | 2 | 1 | no | — |
| 187 | M32 | — | 2 | 1 | no | — |
| 188 | M32 | — | 2 | 1 | no | — |
| 189 | M32 | D4×C151 | 1 | 2 | yes | — |
| 190 | C2×C16 | — | 2 | 1 | no | — |
| 191 | C2×C16 | — | 2 | 1 | no | — |
| 192 | #108 | — | 2 | 1 | no | — |
| 193 | #108 | — | 2 | 1 | no | — |
| 194 | #107 | — | 2 | 1 | no | — |
| 195 | #107 | — | 2 | 1 | no | — |
| 196 | #107 | D4×C151 | 1 | 1 | yes | characteristic |
| 197 | #107 | D4×C151 | 1 | 1 | yes | characteristic |
| 198 | #106 | — | 2 | 1 | no | — |
| 199 | C4⋊C8 | — | 4 | 2 | no | — |
| 200 | #102 | — | 4 | 2 | no | — |
| 201 | C4×C8 | — | 2 | 1 | no | — |
| 202 | C4×C8 | — | 2 | 1 | no | — |
| 203 | C24 | — | 4 | 1 | no | — |
| 204 | C2×D4 | — | 2 | 2 | no | — |
| 205 | C2×D4 | — | 4 | 1 | no | — |
| 206 | C2×D4 | — | 4 | 1 | no | — |
| 207 | C2×D4 | — | 4 | 1 | no | — |
| 208 | C2×D4 | — | 4 | 1 | no | — |
| 209 | C2×D4 | — | 4 | 1 | no | — |
| 210 | C22×C4 | — | 2 | 1 | no | — |
| 211 | C22×C4 | — | 4 | 1 | no | — |
| 212 | C22×C4 | C2×D4×C151 | 1 | 1 | yes | characteristic |
| 213 | D8 | — | 2 | 2 | no | — |
| 214 | D8 | — | 2 | 2 | no | — |
| 215 | D8 | — | 4 | 1 | no | — |
| 216 | D8 | — | 4 | 1 | no | — |
| 217 | M16 | — | 4 | 1 | no | — |
| 218 | M16 | — | 4 | 1 | no | — |
| 219 | C2×C8 | — | 2 | 1 | no | — |
| 220 | C2×C8 | — | 2 | 1 | no | — |
| 221 | C2×C8 | — | 4 | 1 | no | — |
| 222 | C2×C8 | D8×C151 | 1 | 2 | yes | — |
| 223 | C2×C8 | C2×D4×C151 | 1 | 1 | yes | characteristic |
| 224 | C2×C8 | C2×D4×C151 | 1 | 1 | yes | characteristic |
| 225 | C2×C8 | C2×Q8×C151 | 1 | 1 | yes | characteristic |
| 226 | C2×C8 | #41×C151 | 1 | 1 | yes | characteristic |
| 227 | C2×C8 | #41×C151 | 1 | 1 | yes | characteristic |
| 228 | C2×C8 | #41×C151 | 1 | 1 | yes | characteristic |
| 229 | C4⋊C4 | — | 2 | 1 | no | — |
| 230 | C4⋊C4 | — | 2 | 1 | no | — |
| 231 | C4⋊C4 | — | 4 | 1 | no | — |
| 232 | C4⋊C4 | — | 4 | 1 | no | — |
| 233 | C22⋊C4 | — | 4 | 1 | no | — |
| 234 | C22⋊C4 | — | 8 | 4 | no | — |
| 235 | C42 | — | 2 | 1 | no | — |
| 236 | C42 | — | 2 | 1 | no | — |
| 237 | C42 | — | 4 | 1 | no | — |
| 238 | C16 | — | 2 | 2 | no | — |
| 239 | C16 | — | 4 | 1 | no | — |
| 240 | C23 | — | 4 | 2 | no | — |
| 241 | C23 | — | 8 | 2 | no | — |
| 242 | C23 | — | 8 | 2 | no | — |
| 243 | C23 | — | 8 | 1 | no | — |
| 244 | C23 | — | 8 | 1 | no | — |
| 245 | C23 | AGL(1,ℤ/8)×C151 | 1 | 1 | yes | characteristic |
| 246 | D4 | — | 4 | 2 | no | — |
| 247 | D4 | — | 4 | 2 | no | — |
| 248 | D4 | — | 8 | 1 | no | — |
| 249 | D4 | — | 8 | 1 | no | — |
| 250 | C2×C4 | — | 2 | 2 | no | — |
| 251 | C2×C4 | — | 4 | 1 | no | — |
| 252 | C2×C4 | — | 4 | 1 | no | — |
| 253 | C2×C4 | — | 4 | 1 | no | — |
| 254 | C2×C4 | — | 4 | 1 | no | — |
| 255 | C2×C4 | — | 8 | 2 | no | — |
| 256 | C2×C4 | — | 8 | 1 | no | — |
| 257 | C2×C4 | #121×C151 | 1 | 1 | yes | characteristic |
| 258 | C2×C4 | #121×C151 | 1 | 1 | yes | characteristic |
| 259 | C2×C4 | C22⋊Q8×C151 | 1 | 1 | yes | characteristic |
| 260 | C2×C4 | C2×D8×C151 | 1 | 1 | yes | characteristic |
| 261 | C2×C4 | #135×C151 | 1 | 1 | yes | characteristic |
| 262 | C2×C4 | #137×C151 | 1 | 1 | yes | characteristic |
| 263 | C8 | — | 2 | 2 | no | — |
| 264 | C8 | — | 8 | 1 | no | — |
| 265 | C8 | #121×C151 | 1 | 1 | yes | characteristic |
| 266 | C8 | C22⋊Q8×C151 | 1 | 1 | yes | characteristic |
| 267 | C8 | C22⋊Q8×C151 | 1 | 1 | yes | characteristic |
| 268 | C8 | #126×C151 | 1 | 1 | yes | characteristic |
| 269 | C22 | — | 2 | 1 | no | — |
| 270 | C22 | — | 2 | 1 | no | — |
| 271 | C22 | — | 8 | 4 | no | — |
| 272 | C22 | — | 8 | 2 | no | — |
| 273 | C22 | — | 16 | 2 | no | — |
| 274 | C22 | — | 16 | 1 | no | — |
| 275 | C22 | — | 16 | 1 | no | — |
| 276 | C22 | #459×C151 | 1 | 1 | yes | characteristic |
| 277 | C22 | #468×C151 | 1 | 1 | yes | characteristic |
| 278 | C22 | #478×C151 | 1 | 1 | yes | characteristic |
| 279 | C4 | — | 4 | 2 | no | — |
| 280 | C4 | — | 8 | 1 | no | — |
| 281 | C4 | — | 8 | 1 | no | — |
| 282 | C4 | — | 16 | 1 | no | — |
| 283 | C4 | #396×C151 | 1 | 1 | yes | characteristic |
| 284 | C4 | #464×C151 | 1 | 1 | yes | characteristic |
| 285 | C4 | #466×C151 | 1 | 1 | yes | characteristic |
| 286 | C4 | #474×C151 | 1 | 1 | yes | characteristic |
| 287 | C2 | — | 2 | 1 | no | — |
| 288 | C2 | — | 2 | 1 | no | — |
| 289 | C2 | — | 16 | 2 | no | — |
| 290 | C2 | #2067×C151 | 1 | 1 | yes | characteristic |
| 291 | C2 | #2212×C151 | 1 | 1 | yes | characteristic |
| 292 | C2 | #2213×C151 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta