| 1 | #3226×C149 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #3151×C149 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | C2×#486×C149 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #1966×C149 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #1545×C149 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #1492×C149 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #1278×C149 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C2×AGL(1,ℤ/8)×C149 | — | 2 | 2 | no | — |
| 9 | #532×C149 | C22 | 1 | 1 | yes | characteristic |
| 10 | C2×C4⋊Q8×C149 | C22 | 1 | 1 | yes | characteristic |
| 11 | C2×#127×C149 | C22 | 1 | 1 | yes | characteristic |
| 12 | #500×C149 | — | 2 | 1 | no | — |
| 13 | #496×C149 | — | 2 | 2 | no | — |
| 14 | #493×C149 | — | 2 | 1 | no | — |
| 15 | #492×C149 | — | 2 | 1 | no | — |
| 16 | #486×C149 | — | 2 | 1 | no | — |
| 17 | #486×C149 | — | 2 | 2 | no | — |
| 18 | #486×C149 | — | 2 | 2 | no | — |
| 19 | #480×C149 | — | 2 | 2 | no | — |
| 20 | #474×C149 | — | 2 | 2 | no | — |
| 21 | #431×C149 | C22 | 1 | 1 | yes | characteristic |
| 22 | #423×C149 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×#102×C149 | — | 2 | 2 | no | — |
| 24 | C2×#101×C149 | — | 2 | 2 | no | — |
| 25 | C4×M16×C149 | C22 | 1 | 1 | yes | characteristic |
| 26 | C2×C4×C8×C149 | C22 | 1 | 1 | yes | characteristic |
| 27 | #331×C149 | — | 2 | 2 | no | — |
| 28 | D4⋊C8×C149 | — | 2 | 2 | no | — |
| 29 | C2×#41×C149 | — | 2 | 1 | no | — |
| 30 | C22×Q8×C149 | — | 2 | 1 | no | — |
| 31 | C22×D4×C149 | — | 2 | 1 | no | — |
| 32 | C22×D4×C149 | — | 2 | 1 | no | — |
| 33 | C22×D4×C149 | — | 2 | 1 | no | — |
| 34 | AGL(1,ℤ/8)×C149 | — | 4 | 4 | no | — |
| 35 | AGL(1,ℤ/8)×C149 | — | 4 | 4 | no | — |
| 36 | C2×SD16×C149 | — | 2 | 4 | no | — |
| 37 | C2×D8×C149 | — | 2 | 4 | no | — |
| 38 | C2×M16×C149 | — | 2 | 1 | no | — |
| 39 | C2×M16×C149 | D4 | 1 | 2 | yes | — |
| 40 | C22×C8×C149 | — | 2 | 1 | no | — |
| 41 | C4⋊Q8×C149 | — | 2 | 1 | no | — |
| 42 | C4⋊Q8×C149 | — | 2 | 1 | no | — |
| 43 | C4⋊Q8×C149 | — | 2 | 1 | no | — |
| 44 | C4⋊Q8×C149 | — | 2 | 1 | no | — |
| 45 | C4⋊Q8×C149 | D4 | 1 | 1 | yes | characteristic |
| 46 | #127×C149 | — | 2 | 1 | no | — |
| 47 | #127×C149 | — | 2 | 1 | no | — |
| 48 | #127×C149 | — | 2 | 1 | no | — |
| 49 | #127×C149 | D4 | 1 | 1 | yes | characteristic |
| 50 | #127×C149 | D4 | 1 | 2 | yes | — |
| 51 | #124×C149 | — | 2 | 1 | no | — |
| 52 | #121×C149 | — | 2 | 1 | no | — |
| 53 | #121×C149 | — | 2 | 1 | no | — |
| 54 | C4×D4×C149 | — | 2 | 1 | no | — |
| 55 | C4×D4×C149 | — | 2 | 1 | no | — |
| 56 | C2×C4⋊C4×C149 | — | 2 | 1 | no | — |
| 57 | C2×C4⋊C4×C149 | D4 | 1 | 2 | yes | — |
| 58 | C2×C42×C149 | C23 | 1 | 1 | yes | characteristic |
| 59 | #107×C149 | — | 2 | 4 | no | — |
| 60 | C4⋊C8×C149 | — | 2 | 1 | no | — |
| 61 | C4⋊C8×C149 | — | 2 | 1 | no | — |
| 62 | C4⋊C8×C149 | D4 | 1 | 2 | yes | — |
| 63 | #102×C149 | — | 2 | 8 | no | — |
| 64 | #102×C149 | — | 2 | 4 | no | — |
| 65 | #101×C149 | — | 4 | 4 | no | — |
| 66 | C22⋊C8×C149 | — | 2 | 1 | no | — |
| 67 | #97×C149 | — | 2 | 1 | no | — |
| 68 | C4×C8×C149 | — | 2 | 1 | no | — |
| 69 | C4×C8×C149 | — | 2 | 1 | no | — |
| 70 | C4×C8×C149 | — | 2 | 1 | no | — |
| 71 | C4×C8×C149 | D4 | 1 | 2 | yes | — |
| 72 | C24×C149 | — | 4 | 1 | no | — |
| 73 | #41×C149 | — | 4 | 2 | no | — |
| 74 | #41×C149 | — | 4 | 2 | no | — |
| 75 | C2×Q8×C149 | — | 2 | 1 | no | — |
| 76 | C2×Q8×C149 | — | 4 | 1 | no | — |
| 77 | C2×Q8×C149 | — | 4 | 1 | no | — |
| 78 | C2×Q8×C149 | — | 4 | 2 | no | — |
| 79 | C2×Q8×C149 | — | 4 | 2 | no | — |
| 80 | C2×D4×C149 | — | 2 | 1 | no | — |
| 81 | C2×D4×C149 | — | 2 | 2 | no | — |
| 82 | C2×D4×C149 | — | 2 | 1 | no | — |
| 83 | C2×D4×C149 | — | 2 | 2 | no | — |
| 84 | C2×D4×C149 | — | 2 | 1 | no | — |
| 85 | C2×D4×C149 | — | 2 | 2 | no | — |
| 86 | C2×D4×C149 | — | 4 | 4 | no | — |
| 87 | C2×D4×C149 | — | 4 | 1 | no | — |
| 88 | C2×D4×C149 | — | 4 | 1 | no | — |
| 89 | C2×D4×C149 | — | 4 | 1 | no | — |
| 90 | C2×D4×C149 | — | 4 | 1 | no | — |
| 91 | C2×D4×C149 | — | 4 | 2 | no | — |
| 92 | C2×D4×C149 | — | 4 | 2 | no | — |
| 93 | C2×D4×C149 | — | 8 | 2 | no | — |
| 94 | C22×C4×C149 | — | 2 | 2 | no | — |
| 95 | C22×C4×C149 | — | 4 | 1 | no | — |
| 96 | C22×C4×C149 | C2×D4 | 1 | 1 | yes | characteristic |
| 97 | C22×C4×C149 | C2×D4 | 1 | 1 | yes | characteristic |
| 98 | C22×C4×C149 | #41 | 1 | 1 | yes | characteristic |
| 99 | SD16×C149 | — | 4 | 8 | no | — |
| 100 | D8×C149 | — | 4 | 8 | no | — |
| 101 | M16×C149 | — | 2 | 2 | no | — |
| 102 | M16×C149 | — | 4 | 2 | no | — |
| 103 | M16×C149 | D8 | 1 | 4 | yes | — |
| 104 | C2×C8×C149 | — | 2 | 2 | no | — |
| 105 | C2×C8×C149 | — | 2 | 2 | no | — |
| 106 | C2×C8×C149 | — | 2 | 2 | no | — |
| 107 | C2×C8×C149 | — | 4 | 2 | no | — |
| 108 | C2×C8×C149 | — | 4 | 1 | no | — |
| 109 | C4⋊C4×C149 | — | 2 | 2 | no | — |
| 110 | C4⋊C4×C149 | — | 2 | 2 | no | — |
| 111 | C4⋊C4×C149 | — | 2 | 1 | no | — |
| 112 | C4⋊C4×C149 | — | 2 | 1 | no | — |
| 113 | C4⋊C4×C149 | — | 4 | 1 | no | — |
| 114 | C4⋊C4×C149 | — | 4 | 1 | no | — |
| 115 | C22⋊C4×C149 | — | 4 | 1 | no | — |
| 116 | C22⋊C4×C149 | — | 4 | 1 | no | — |
| 117 | C42×C149 | C2×D4 | 1 | 1 | yes | characteristic |
| 118 | C42×C149 | C2×D4 | 1 | 1 | yes | characteristic |
| 119 | C42×C149 | C2×D4 | 1 | 1 | yes | characteristic |
| 120 | C42×C149 | C2×D4 | 1 | 1 | yes | characteristic |
| 121 | C23×C149 | — | 4 | 1 | no | — |
| 122 | C23×C149 | — | 4 | 2 | no | — |
| 123 | C23×C149 | — | 8 | 2 | no | — |
| 124 | C23×C149 | — | 8 | 2 | no | — |
| 125 | C23×C149 | — | 8 | 2 | no | — |
| 126 | C23×C149 | #121 | 1 | 1 | yes | characteristic |
| 127 | Q8×C149 | — | 4 | 2 | no | — |
| 128 | Q8×C149 | — | 8 | 2 | no | — |
| 129 | Q8×C149 | — | 8 | 1 | no | — |
| 130 | Q8×C149 | — | 8 | 1 | no | — |
| 131 | D4×C149 | — | 4 | 4 | no | — |
| 132 | D4×C149 | — | 4 | 2 | no | — |
| 133 | D4×C149 | — | 4 | 4 | no | — |
| 134 | D4×C149 | — | 4 | 2 | no | — |
| 135 | D4×C149 | — | 4 | 2 | no | — |
| 136 | D4×C149 | — | 8 | 2 | no | — |
| 137 | D4×C149 | — | 8 | 2 | no | — |
| 138 | D4×C149 | — | 8 | 2 | no | — |
| 139 | D4×C149 | — | 8 | 2 | no | — |
| 140 | D4×C149 | — | 8 | 1 | no | — |
| 141 | D4×C149 | — | 8 | 1 | no | — |
| 142 | C2×C4×C149 | — | 2 | 2 | no | — |
| 143 | C2×C4×C149 | — | 2 | 2 | no | — |
| 144 | C2×C4×C149 | — | 4 | 1 | no | — |
| 145 | C2×C4×C149 | — | 4 | 2 | no | — |
| 146 | C2×C4×C149 | — | 4 | 4 | no | — |
| 147 | C2×C4×C149 | — | 8 | 1 | no | — |
| 148 | C2×C4×C149 | — | 8 | 1 | no | — |
| 149 | C2×C4×C149 | #120 | 1 | 1 | yes | characteristic |
| 150 | C2×C4×C149 | #120 | 1 | 1 | yes | characteristic |
| 151 | C2×C4×C149 | #120 | 1 | 1 | yes | characteristic |
| 152 | C2×C4×C149 | #121 | 1 | 1 | yes | characteristic |
| 153 | C2×C4×C149 | #121 | 1 | 1 | yes | characteristic |
| 154 | C2×C4×C149 | #127 | 1 | 1 | yes | characteristic |
| 155 | C2×C4×C149 | C2×D8 | 1 | 2 | yes | — |
| 156 | C2×C4×C149 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 157 | C8×C149 | — | 2 | 4 | no | — |
| 158 | C8×C149 | — | 4 | 2 | no | — |
| 159 | C8×C149 | — | 4 | 2 | no | — |
| 160 | C8×C149 | — | 8 | 1 | no | — |
| 161 | C22×C149 | — | 2 | 1 | no | — |
| 162 | C22×C149 | — | 2 | 1 | no | — |
| 163 | C22×C149 | — | 8 | 2 | no | — |
| 164 | C22×C149 | — | 8 | 1 | no | — |
| 165 | C22×C149 | — | 8 | 1 | no | — |
| 166 | C22×C149 | — | 8 | 2 | no | — |
| 167 | C22×C149 | — | 8 | 1 | no | — |
| 168 | C22×C149 | — | 8 | 2 | no | — |
| 169 | C22×C149 | — | 16 | 4 | no | — |
| 170 | C22×C149 | #392 | 1 | 1 | yes | characteristic |
| 171 | C22×C149 | #459 | 1 | 2 | yes | — |
| 172 | C4×C149 | — | 2 | 1 | no | — |
| 173 | C4×C149 | — | 2 | 1 | no | — |
| 174 | C4×C149 | — | 8 | 2 | no | — |
| 175 | C4×C149 | — | 8 | 1 | no | — |
| 176 | C4×C149 | #447 | 1 | 2 | yes | — |
| 177 | C4×C149 | #454 | 1 | 2 | yes | — |
| 178 | C4×C149 | #471 | 1 | 2 | yes | — |
| 179 | C4×C149 | #493 | 1 | 1 | yes | characteristic |
| 180 | C4×C149 | #496 | 1 | 1 | yes | characteristic |
| 181 | C2×C149 | — | 2 | 2 | no | — |
| 182 | C2×C149 | — | 16 | 1 | no | — |
| 183 | C2×C149 | — | 16 | 2 | no | — |
| 184 | C2×C149 | #2003 | 1 | 1 | yes | characteristic |
| 185 | C2×C149 | #2011 | 1 | 1 | yes | characteristic |
| 186 | C2×C149 | #2019 | 1 | 1 | yes | characteristic |
| 187 | #10150 | C149 | 1 | 1 | yes | maximal, characteristic, direct product factor, Sylow |
| 188 | C149 | #10150 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 189 | #3226 | C2×C149 | 1 | 1 | yes | characteristic, complemented |
| 190 | #3151 | C2×C149 | 1 | 1 | yes | characteristic |
| 191 | C2×#486 | C2×C149 | 1 | 1 | yes | characteristic, complemented |
| 192 | #1966 | C2×C149 | 1 | 1 | yes | characteristic, complemented |
| 193 | #1545 | C2×C149 | 1 | 1 | yes | characteristic, complemented |
| 194 | #1492 | C2×C149 | 1 | 1 | yes | characteristic, complemented |
| 195 | #1278 | C2×C149 | 1 | 1 | yes | characteristic, complemented |
| 196 | C2×AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 197 | #532 | C22×C149 | 1 | 1 | yes | characteristic |
| 198 | C2×C4⋊Q8 | C22×C149 | 1 | 1 | yes | characteristic |
| 199 | C2×#127 | C22×C149 | 1 | 1 | yes | characteristic |
| 200 | #500 | — | 2 | 1 | no | — |
| 201 | #496 | — | 2 | 2 | no | — |
| 202 | #493 | — | 2 | 1 | no | — |
| 203 | #492 | — | 2 | 1 | no | — |
| 204 | #486 | — | 2 | 2 | no | — |
| 205 | #486 | — | 2 | 1 | no | — |
| 206 | #486 | — | 2 | 2 | no | — |
| 207 | #480 | — | 2 | 2 | no | — |
| 208 | #474 | — | 2 | 2 | no | — |
| 209 | #431 | C22×C149 | 1 | 1 | yes | characteristic |
| 210 | #423 | C22×C149 | 1 | 1 | yes | characteristic |
| 211 | C2×#102 | — | 2 | 2 | no | — |
| 212 | C2×#101 | — | 2 | 2 | no | — |
| 213 | C4×M16 | C22×C149 | 1 | 1 | yes | characteristic |
| 214 | C2×C4×C8 | C22×C149 | 1 | 1 | yes | characteristic |
| 215 | #331 | — | 2 | 2 | no | — |
| 216 | D4⋊C8 | — | 2 | 2 | no | — |
| 217 | C2×#41 | — | 2 | 1 | no | — |
| 218 | C22×Q8 | — | 2 | 1 | no | — |
| 219 | C22×D4 | — | 2 | 1 | no | — |
| 220 | C22×D4 | — | 2 | 1 | no | — |
| 221 | C22×D4 | — | 2 | 1 | no | — |
| 222 | AGL(1,ℤ/8) | — | 4 | 4 | no | — |
| 223 | AGL(1,ℤ/8) | — | 4 | 4 | no | — |
| 224 | C2×SD16 | — | 2 | 4 | no | — |
| 225 | C2×D8 | — | 2 | 4 | no | — |
| 226 | C2×M16 | — | 2 | 1 | no | — |
| 227 | C2×M16 | D4×C149 | 1 | 2 | yes | — |
| 228 | C22×C8 | — | 2 | 1 | no | — |
| 229 | C4⋊Q8 | — | 2 | 1 | no | — |
| 230 | C4⋊Q8 | — | 2 | 1 | no | — |
| 231 | C4⋊Q8 | — | 2 | 1 | no | — |
| 232 | C4⋊Q8 | — | 2 | 1 | no | — |
| 233 | C4⋊Q8 | D4×C149 | 1 | 1 | yes | characteristic |
| 234 | #127 | — | 2 | 1 | no | — |
| 235 | #127 | — | 2 | 1 | no | — |
| 236 | #127 | — | 2 | 1 | no | — |
| 237 | #127 | D4×C149 | 1 | 2 | yes | — |
| 238 | #127 | D4×C149 | 1 | 1 | yes | characteristic |
| 239 | #124 | — | 2 | 1 | no | — |
| 240 | #121 | — | 2 | 1 | no | — |
| 241 | #121 | — | 2 | 1 | no | — |
| 242 | C4×D4 | — | 2 | 1 | no | — |
| 243 | C4×D4 | — | 2 | 1 | no | — |
| 244 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 245 | C2×C4⋊C4 | D4×C149 | 1 | 2 | yes | — |
| 246 | C2×C42 | C23×C149 | 1 | 1 | yes | characteristic |
| 247 | #107 | — | 2 | 4 | no | — |
| 248 | C4⋊C8 | — | 2 | 1 | no | — |
| 249 | C4⋊C8 | — | 2 | 1 | no | — |
| 250 | C4⋊C8 | D4×C149 | 1 | 2 | yes | — |
| 251 | #102 | — | 2 | 8 | no | — |
| 252 | #102 | — | 2 | 4 | no | — |
| 253 | #101 | — | 4 | 4 | no | — |
| 254 | C22⋊C8 | — | 2 | 1 | no | — |
| 255 | #97 | — | 2 | 1 | no | — |
| 256 | C4×C8 | — | 2 | 1 | no | — |
| 257 | C4×C8 | — | 2 | 1 | no | — |
| 258 | C4×C8 | — | 2 | 1 | no | — |
| 259 | C4×C8 | D4×C149 | 1 | 2 | yes | — |
| 260 | C24 | — | 4 | 1 | no | — |
| 261 | #41 | — | 4 | 2 | no | — |
| 262 | #41 | — | 4 | 2 | no | — |
| 263 | C2×Q8 | — | 2 | 1 | no | — |
| 264 | C2×Q8 | — | 4 | 1 | no | — |
| 265 | C2×Q8 | — | 4 | 1 | no | — |
| 266 | C2×Q8 | — | 4 | 2 | no | — |
| 267 | C2×Q8 | — | 4 | 2 | no | — |
| 268 | C2×D4 | — | 2 | 1 | no | — |
| 269 | C2×D4 | — | 2 | 2 | no | — |
| 270 | C2×D4 | — | 2 | 1 | no | — |
| 271 | C2×D4 | — | 2 | 2 | no | — |
| 272 | C2×D4 | — | 2 | 1 | no | — |
| 273 | C2×D4 | — | 2 | 2 | no | — |
| 274 | C2×D4 | — | 4 | 4 | no | — |
| 275 | C2×D4 | — | 4 | 1 | no | — |
| 276 | C2×D4 | — | 4 | 1 | no | — |
| 277 | C2×D4 | — | 4 | 1 | no | — |
| 278 | C2×D4 | — | 4 | 1 | no | — |
| 279 | C2×D4 | — | 4 | 2 | no | — |
| 280 | C2×D4 | — | 4 | 2 | no | — |
| 281 | C2×D4 | — | 8 | 2 | no | — |
| 282 | C22×C4 | — | 2 | 2 | no | — |
| 283 | C22×C4 | — | 4 | 1 | no | — |
| 284 | C22×C4 | C2×D4×C149 | 1 | 1 | yes | characteristic |
| 285 | C22×C4 | C2×D4×C149 | 1 | 1 | yes | characteristic |
| 286 | C22×C4 | #41×C149 | 1 | 1 | yes | characteristic |
| 287 | SD16 | — | 4 | 8 | no | — |
| 288 | D8 | — | 4 | 8 | no | — |
| 289 | M16 | — | 2 | 2 | no | — |
| 290 | M16 | — | 4 | 2 | no | — |
| 291 | M16 | D8×C149 | 1 | 4 | yes | — |
| 292 | C2×C8 | — | 2 | 2 | no | — |
| 293 | C2×C8 | — | 2 | 2 | no | — |
| 294 | C2×C8 | — | 2 | 2 | no | — |
| 295 | C2×C8 | — | 4 | 2 | no | — |
| 296 | C2×C8 | — | 4 | 1 | no | — |
| 297 | C4⋊C4 | — | 2 | 2 | no | — |
| 298 | C4⋊C4 | — | 2 | 2 | no | — |
| 299 | C4⋊C4 | — | 2 | 1 | no | — |
| 300 | C4⋊C4 | — | 2 | 1 | no | — |
| 301 | C4⋊C4 | — | 4 | 1 | no | — |
| 302 | C4⋊C4 | — | 4 | 1 | no | — |
| 303 | C22⋊C4 | — | 4 | 1 | no | — |
| 304 | C22⋊C4 | — | 4 | 1 | no | — |
| 305 | C42 | C2×D4×C149 | 1 | 1 | yes | characteristic |
| 306 | C42 | C2×D4×C149 | 1 | 1 | yes | characteristic |
| 307 | C42 | C2×D4×C149 | 1 | 1 | yes | characteristic |
| 308 | C42 | C2×D4×C149 | 1 | 1 | yes | characteristic |
| 309 | C23 | — | 4 | 1 | no | — |
| 310 | C23 | — | 4 | 2 | no | — |
| 311 | C23 | — | 8 | 2 | no | — |
| 312 | C23 | — | 8 | 2 | no | — |
| 313 | C23 | — | 8 | 2 | no | — |
| 314 | C23 | #121×C149 | 1 | 1 | yes | characteristic |
| 315 | Q8 | — | 4 | 2 | no | — |
| 316 | Q8 | — | 8 | 2 | no | — |
| 317 | Q8 | — | 8 | 1 | no | — |
| 318 | Q8 | — | 8 | 1 | no | — |
| 319 | D4 | — | 4 | 4 | no | — |
| 320 | D4 | — | 4 | 2 | no | — |
| 321 | D4 | — | 4 | 4 | no | — |
| 322 | D4 | — | 4 | 2 | no | — |
| 323 | D4 | — | 4 | 2 | no | — |
| 324 | D4 | — | 8 | 2 | no | — |
| 325 | D4 | — | 8 | 2 | no | — |
| 326 | D4 | — | 8 | 2 | no | — |
| 327 | D4 | — | 8 | 2 | no | — |
| 328 | D4 | — | 8 | 1 | no | — |
| 329 | D4 | — | 8 | 1 | no | — |
| 330 | C2×C4 | — | 2 | 2 | no | — |
| 331 | C2×C4 | — | 2 | 2 | no | — |
| 332 | C2×C4 | — | 4 | 1 | no | — |
| 333 | C2×C4 | — | 4 | 2 | no | — |
| 334 | C2×C4 | — | 4 | 4 | no | — |
| 335 | C2×C4 | — | 8 | 1 | no | — |
| 336 | C2×C4 | — | 8 | 1 | no | — |
| 337 | C2×C4 | #120×C149 | 1 | 1 | yes | characteristic |
| 338 | C2×C4 | #120×C149 | 1 | 1 | yes | characteristic |
| 339 | C2×C4 | #120×C149 | 1 | 1 | yes | characteristic |
| 340 | C2×C4 | #121×C149 | 1 | 1 | yes | characteristic |
| 341 | C2×C4 | #121×C149 | 1 | 1 | yes | characteristic |
| 342 | C2×C4 | #127×C149 | 1 | 1 | yes | characteristic |
| 343 | C2×C4 | C2×D8×C149 | 1 | 2 | yes | — |
| 344 | C2×C4 | AGL(1,ℤ/8)×C149 | 1 | 2 | yes | — |
| 345 | C8 | — | 2 | 4 | no | — |
| 346 | C8 | — | 4 | 2 | no | — |
| 347 | C8 | — | 4 | 2 | no | — |
| 348 | C8 | — | 8 | 1 | no | — |
| 349 | C22 | — | 2 | 1 | no | — |
| 350 | C22 | — | 2 | 1 | no | — |
| 351 | C22 | — | 8 | 2 | no | — |
| 352 | C22 | — | 8 | 1 | no | — |
| 353 | C22 | — | 8 | 1 | no | — |
| 354 | C22 | — | 8 | 2 | no | — |
| 355 | C22 | — | 8 | 1 | no | — |
| 356 | C22 | — | 8 | 2 | no | — |
| 357 | C22 | — | 16 | 4 | no | — |
| 358 | C22 | #392×C149 | 1 | 1 | yes | characteristic |
| 359 | C22 | #459×C149 | 1 | 2 | yes | — |
| 360 | C4 | — | 2 | 1 | no | — |
| 361 | C4 | — | 2 | 1 | no | — |
| 362 | C4 | — | 8 | 2 | no | — |
| 363 | C4 | — | 8 | 1 | no | — |
| 364 | C4 | #447×C149 | 1 | 2 | yes | — |
| 365 | C4 | #454×C149 | 1 | 2 | yes | — |
| 366 | C4 | #471×C149 | 1 | 2 | yes | — |
| 367 | C4 | #493×C149 | 1 | 1 | yes | characteristic |
| 368 | C4 | #496×C149 | 1 | 1 | yes | characteristic |
| 369 | C2 | — | 2 | 2 | no | — |
| 370 | C2 | — | 16 | 2 | no | — |
| 371 | C2 | — | 16 | 1 | no | — |
| 372 | C2 | #2003×C149 | 1 | 1 | yes | characteristic |
| 373 | C2 | #2011×C149 | 1 | 1 | yes | characteristic |
| 374 | C2 | #2019×C149 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta