| 1 | C2×#16861239 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#16861229 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #22550535 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #22550263 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #22550127 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #22550103 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #22550098 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #22550073 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #22550038 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #22550021 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #22550019 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #22550014 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #22549981 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #22549948 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #550×C127 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×#14523248 | C22 | 1 | 1 | yes | characteristic |
| 17 | C22×Dic254 | C22 | 1 | 1 | yes | characteristic |
| 18 | #16861239 | — | 2 | 4 | no | — |
| 19 | #16861229 | — | 2 | 4 | no | — |
| 20 | C2×#14523238 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×#14523238 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×#14523236 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×#14523236 | C22 | 1 | 1 | yes | characteristic |
| 24 | C2×#14523236 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×#14523236 | C22 | 1 | 1 | yes | characteristic |
| 26 | C2×#14523235 | C22 | 1 | 1 | yes | characteristic |
| 27 | C2×#14523233 | C22 | 1 | 1 | yes | characteristic |
| 28 | C2×#14523233 | C22 | 1 | 1 | yes | characteristic |
| 29 | C2×#14523232 | C22 | 1 | 1 | yes | characteristic |
| 30 | C22×C127⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 31 | #16861197 | C22 | 1 | 1 | yes | characteristic |
| 32 | #16861195 | — | 2 | 1 | no | — |
| 33 | #16861188 | C22 | 1 | 1 | yes | characteristic |
| 34 | #16861187 | — | 2 | 1 | no | — |
| 35 | #16861183 | C22 | 1 | 1 | yes | characteristic |
| 36 | #16861181 | — | 2 | 1 | no | — |
| 37 | C4×Dic254 | C22 | 1 | 1 | yes | characteristic |
| 38 | (C22⋊D127)⋊C4 | — | 2 | 1 | no | — |
| 39 | #16861140 | C22 | 1 | 1 | yes | characteristic |
| 40 | C4⋊(C127⋊C8) | C22 | 1 | 1 | yes | characteristic |
| 41 | #16861133 | C22 | 1 | 1 | yes | characteristic |
| 42 | #16861132 | C22 | 1 | 1 | yes | characteristic |
| 43 | #16861132 | C22 | 1 | 1 | yes | characteristic |
| 44 | #16861130 | C22 | 1 | 1 | yes | characteristic |
| 45 | #16861130 | C22 | 1 | 1 | yes | characteristic |
| 46 | #16861129 | C22 | 1 | 1 | yes | characteristic |
| 47 | C22⋊(C127⋊C8) | C22 | 1 | 1 | yes | characteristic |
| 48 | C22⋊(C127⋊C8) | C22 | 1 | 1 | yes | characteristic |
| 49 | #16861120 | C22 | 1 | 1 | yes | characteristic |
| 50 | C2×#41×C127 | C22 | 1 | 1 | yes | characteristic |
| 51 | C2×#41×C127 | C22 | 1 | 1 | yes | characteristic |
| 52 | #127×C127 | — | 2 | 1 | no | — |
| 53 | #127×C127 | C22 | 1 | 1 | yes | characteristic |
| 54 | #121×C127 | — | 2 | 1 | no | — |
| 55 | #121×C127 | — | 2 | 1 | no | — |
| 56 | #121×C127 | C22 | 1 | 1 | yes | characteristic |
| 57 | #121×C127 | C22 | 1 | 1 | yes | characteristic |
| 58 | C4×Q8×C127 | C22 | 1 | 1 | yes | characteristic |
| 59 | C4×D4×C127 | — | 2 | 1 | no | — |
| 60 | C4×D4×C127 | C22 | 1 | 1 | yes | characteristic |
| 61 | #14523248 | — | 2 | 2 | no | — |
| 62 | #14523248 | — | 4 | 1 | no | — |
| 63 | C2×Dic254 | — | 2 | 2 | no | — |
| 64 | C2×Dic254 | — | 2 | 1 | no | — |
| 65 | C2×Dic254 | — | 4 | 1 | no | — |
| 66 | C2×Dic254 | C23 | 1 | 1 | yes | characteristic |
| 67 | C2×Dic254 | C23 | 1 | 1 | yes | characteristic |
| 68 | C2×D508 | C23 | 1 | 1 | yes | characteristic |
| 69 | C2×C22⋊D127 | — | 2 | 1 | no | — |
| 70 | C2×C22⋊D127 | — | 2 | 1 | no | — |
| 71 | C22×Dic127 | — | 2 | 1 | no | — |
| 72 | C2×C4×D127 | — | 2 | 1 | no | — |
| 73 | #14523238 | — | 2 | 2 | no | — |
| 74 | #14523238 | D4 | 1 | 4 | yes | complemented |
| 75 | #14523236 | — | 2 | 2 | no | — |
| 76 | #14523236 | — | 2 | 2 | no | — |
| 77 | #14523236 | — | 2 | 2 | no | — |
| 78 | #14523236 | — | 4 | 1 | no | — |
| 79 | #14523235 | — | 2 | 2 | no | — |
| 80 | #14523233 | — | 2 | 2 | no | — |
| 81 | #14523233 | — | 4 | 1 | no | — |
| 82 | #14523232 | — | 2 | 2 | no | — |
| 83 | C2×C127⋊C8 | — | 2 | 2 | no | — |
| 84 | C2×C127⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 85 | C2×C127⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 86 | C2×C127⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 87 | C2×C127⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 88 | C4⋊Dic127 | C23 | 1 | 1 | yes | characteristic |
| 89 | Dic127⋊C4 | — | 2 | 1 | no | — |
| 90 | Dic127⋊C4 | — | 2 | 1 | no | — |
| 91 | C22⋊Dic127 | — | 2 | 1 | no | — |
| 92 | (C2×D127)⋊C4 | — | 2 | 1 | no | — |
| 93 | (C2×D127)⋊C4 | — | 2 | 1 | no | — |
| 94 | (C2×D127)⋊C4 | — | 2 | 1 | no | — |
| 95 | C4×Dic127 | — | 2 | 1 | no | — |
| 96 | #41×C127 | — | 2 | 2 | no | — |
| 97 | #41×C127 | — | 2 | 2 | no | — |
| 98 | #41×C127 | — | 4 | 1 | no | — |
| 99 | #41×C127 | — | 4 | 1 | no | — |
| 100 | C2×Q8×C127 | C23 | 1 | 1 | yes | characteristic |
| 101 | C2×D4×C127 | — | 2 | 1 | no | — |
| 102 | C2×D4×C127 | — | 2 | 1 | no | — |
| 103 | C2×D4×C127 | — | 2 | 1 | no | — |
| 104 | C2×D4×C127 | — | 2 | 1 | no | — |
| 105 | C2×D4×C127 | — | 2 | 1 | no | — |
| 106 | C2×D4×C127 | — | 2 | 1 | no | — |
| 107 | C2×D4×C127 | D4 | 1 | 1 | yes | characteristic |
| 108 | C2×D4×C127 | C23 | 1 | 1 | yes | characteristic |
| 109 | C2×D4×C127 | C23 | 1 | 1 | yes | characteristic |
| 110 | C22×C4×C127 | — | 2 | 1 | no | — |
| 111 | C22×C4×C127 | — | 2 | 1 | no | — |
| 112 | C22×C4×C127 | C23 | 1 | 1 | yes | characteristic |
| 113 | C22×C4×C127 | C23 | 1 | 1 | yes | characteristic |
| 114 | C4⋊C4×C127 | — | 2 | 1 | no | — |
| 115 | C4⋊C4×C127 | D4 | 1 | 1 | yes | characteristic |
| 116 | C4⋊C4×C127 | C23 | 1 | 1 | yes | characteristic |
| 117 | C22⋊C4×C127 | — | 2 | 1 | no | — |
| 118 | C22⋊C4×C127 | — | 2 | 1 | no | — |
| 119 | C22⋊C4×C127 | D4 | 1 | 1 | yes | characteristic |
| 120 | C22⋊C4×C127 | D4 | 1 | 1 | yes | characteristic |
| 121 | C42×C127 | — | 2 | 1 | no | — |
| 122 | C42×C127 | C23 | 1 | 1 | yes | characteristic |
| 123 | C22×D127 | — | 2 | 1 | no | — |
| 124 | Dic254 | — | 2 | 1 | no | — |
| 125 | Dic254 | — | 2 | 1 | no | — |
| 126 | Dic254 | — | 2 | 1 | no | — |
| 127 | Dic254 | — | 4 | 2 | no | — |
| 128 | Dic254 | C2×D4 | 1 | 2 | yes | — |
| 129 | D508 | — | 2 | 1 | no | — |
| 130 | D508 | — | 2 | 1 | no | — |
| 131 | C22⋊D127 | — | 4 | 2 | no | — |
| 132 | C22⋊D127 | — | 4 | 2 | no | — |
| 133 | C2×Dic127 | — | 2 | 1 | no | — |
| 134 | C2×Dic127 | — | 2 | 1 | no | — |
| 135 | C2×Dic127 | — | 2 | 1 | no | — |
| 136 | C2×Dic127 | — | 4 | 2 | no | — |
| 137 | C4×D127 | — | 4 | 2 | no | — |
| 138 | C127⋊C8 | — | 2 | 1 | no | — |
| 139 | C127⋊C8 | — | 2 | 1 | no | — |
| 140 | C127⋊C8 | — | 2 | 1 | no | — |
| 141 | C127⋊C8 | C2×D4 | 1 | 2 | yes | — |
| 142 | C23×C127 | — | 2 | 1 | no | — |
| 143 | C23×C127 | — | 2 | 1 | no | — |
| 144 | C23×C127 | C2×D4 | 1 | 1 | yes | characteristic |
| 145 | C23×C127 | C2×D4 | 1 | 1 | yes | characteristic |
| 146 | Q8×C127 | — | 2 | 1 | no | — |
| 147 | Q8×C127 | C2×D4 | 1 | 2 | yes | — |
| 148 | D4×C127 | — | 2 | 1 | no | — |
| 149 | D4×C127 | — | 2 | 1 | no | — |
| 150 | D4×C127 | — | 2 | 1 | no | — |
| 151 | D4×C127 | — | 2 | 1 | no | — |
| 152 | D4×C127 | — | 4 | 1 | no | — |
| 153 | D4×C127 | — | 4 | 2 | no | — |
| 154 | D4×C127 | — | 4 | 2 | no | — |
| 155 | D4×C127 | — | 4 | 2 | no | — |
| 156 | D4×C127 | — | 8 | 1 | no | — |
| 157 | D4×C127 | — | 8 | 1 | no | — |
| 158 | D4×C127 | — | 8 | 1 | no | — |
| 159 | C2×C4×C127 | — | 2 | 1 | no | — |
| 160 | C2×C4×C127 | — | 2 | 1 | no | — |
| 161 | C2×C4×C127 | — | 2 | 1 | no | — |
| 162 | C2×C4×C127 | — | 2 | 1 | no | — |
| 163 | C2×C4×C127 | — | 2 | 1 | no | — |
| 164 | C2×C4×C127 | — | 2 | 1 | no | — |
| 165 | C2×C4×C127 | — | 4 | 2 | no | — |
| 166 | C2×C4×C127 | — | 4 | 2 | no | — |
| 167 | C2×C4×C127 | C2×D4 | 1 | 1 | yes | characteristic |
| 168 | C2×C4×C127 | C2×D4 | 1 | 1 | yes | characteristic |
| 169 | C2×C4×C127 | C2×D4 | 1 | 1 | yes | characteristic |
| 170 | C2×C4×C127 | C2×D4 | 1 | 1 | yes | characteristic |
| 171 | C2×C4×C127 | C24 | 1 | 1 | yes | characteristic |
| 172 | C22×C127 | — | 2 | 1 | no | — |
| 173 | C22×C127 | — | 2 | 1 | no | — |
| 174 | C22×C127 | — | 2 | 1 | no | — |
| 175 | C22×C127 | — | 2 | 1 | no | — |
| 176 | C22×C127 | — | 2 | 1 | no | — |
| 177 | C22×C127 | — | 2 | 1 | no | — |
| 178 | C22×C127 | — | 4 | 1 | no | — |
| 179 | C22×C127 | — | 4 | 1 | no | — |
| 180 | C22×C127 | — | 4 | 1 | no | — |
| 181 | C22×C127 | — | 4 | 1 | no | — |
| 182 | C22×C127 | — | 4 | 1 | no | — |
| 183 | C22×C127 | — | 4 | 1 | no | — |
| 184 | C22×C127 | C22×D4 | 1 | 1 | yes | characteristic |
| 185 | C2×D127 | — | 4 | 1 | no | — |
| 186 | C2×D127 | — | 4 | 1 | no | — |
| 187 | C2×D127 | — | 4 | 1 | no | — |
| 188 | C4×C127 | — | 2 | 1 | no | — |
| 189 | C4×C127 | — | 2 | 1 | no | — |
| 190 | C4×C127 | — | 2 | 2 | no | — |
| 191 | C4×C127 | — | 2 | 1 | no | — |
| 192 | C4×C127 | — | 2 | 1 | no | — |
| 193 | C4×C127 | — | 4 | 1 | no | — |
| 194 | C4×C127 | C22×D4 | 1 | 1 | yes | characteristic |
| 195 | C4×C127 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 196 | Dic127 | — | 2 | 2 | no | — |
| 197 | Dic127 | — | 4 | 1 | no | — |
| 198 | Dic127 | — | 4 | 1 | no | — |
| 199 | C2×C127 | — | 4 | 1 | no | — |
| 200 | C2×C127 | — | 4 | 1 | no | — |
| 201 | C2×C127 | — | 8 | 1 | no | — |
| 202 | C2×C127 | — | 8 | 1 | no | — |
| 203 | C2×C127 | D42 | 1 | 1 | yes | characteristic |
| 204 | C2×C127 | #575 | 1 | 1 | yes | characteristic |
| 205 | C2×C127 | #577 | 1 | 1 | yes | characteristic |
| 206 | D127 | — | 8 | 1 | no | — |
| 207 | #3271 | — | 127 | 1 | no | maximal, Sylow |
| 208 | C127 | #3271 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 209 | C2×#137 | — | 127 | 1 | no | — |
| 210 | C2×#135 | — | 127 | 1 | no | — |
| 211 | #550 | D127 | 1 | 1 | yes | characteristic, complemented |
| 212 | #548 | — | 127 | 1 | no | — |
| 213 | #496 | — | 127 | 1 | no | — |
| 214 | #469 | — | 127 | 1 | no | — |
| 215 | #465 | — | 127 | 1 | no | — |
| 216 | #464 | — | 127 | 1 | no | — |
| 217 | #460 | — | 127 | 1 | no | — |
| 218 | #452 | — | 127 | 1 | no | — |
| 219 | #449 | — | 127 | 1 | no | — |
| 220 | #449 | — | 127 | 1 | no | — |
| 221 | #448 | — | 127 | 1 | no | — |
| 222 | #441 | — | 127 | 1 | no | — |
| 223 | #435 | — | 127 | 1 | no | — |
| 224 | C2×#41 | — | 127 | 1 | no | — |
| 225 | C2×#41 | C2×D127 | 1 | 1 | yes | characteristic |
| 226 | C2×#41 | C2×D127 | 1 | 1 | yes | characteristic |
| 227 | C22×Q8 | — | 127 | 1 | no | — |
| 228 | #137 | — | 254 | 4 | no | — |
| 229 | #135 | — | 254 | 4 | no | — |
| 230 | C2×Q16 | — | 127 | 1 | no | — |
| 231 | C2×Q16 | — | 127 | 1 | no | — |
| 232 | C2×SD16 | — | 127 | 1 | no | — |
| 233 | C2×SD16 | — | 127 | 1 | no | — |
| 234 | C2×SD16 | — | 127 | 1 | no | — |
| 235 | C2×SD16 | — | 127 | 1 | no | — |
| 236 | C2×SD16 | — | 127 | 1 | no | — |
| 237 | C2×D8 | — | 127 | 1 | no | — |
| 238 | C2×D8 | — | 127 | 1 | no | — |
| 239 | C2×M16 | — | 127 | 1 | no | — |
| 240 | C22×C8 | — | 127 | 1 | no | — |
| 241 | #127 | — | 2 | 1 | no | — |
| 242 | #127 | C2×D127 | 1 | 1 | yes | characteristic |
| 243 | #124 | — | 127 | 1 | no | — |
| 244 | #124 | — | 254 | 1 | no | — |
| 245 | C22⋊Q8 | — | 127 | 1 | no | — |
| 246 | C22⋊Q8 | — | 254 | 1 | no | — |
| 247 | #121 | — | 2 | 1 | no | — |
| 248 | #121 | — | 2 | 1 | no | — |
| 249 | #121 | — | 127 | 1 | no | — |
| 250 | #121 | — | 254 | 1 | no | — |
| 251 | #121 | C2×D127 | 1 | 1 | yes | characteristic |
| 252 | #121 | C2×D127 | 1 | 1 | yes | characteristic |
| 253 | C4×Q8 | — | 127 | 1 | no | — |
| 254 | C4×Q8 | C2×D127 | 1 | 1 | yes | characteristic |
| 255 | C4×D4 | — | 2 | 1 | no | — |
| 256 | C4×D4 | — | 254 | 1 | no | — |
| 257 | C4×D4 | C2×D127 | 1 | 1 | yes | characteristic |
| 258 | #106 | — | 127 | 1 | no | — |
| 259 | C4⋊C8 | — | 127 | 1 | no | — |
| 260 | #103 | — | 127 | 1 | no | — |
| 261 | #103 | — | 127 | 1 | no | — |
| 262 | #103 | — | 127 | 1 | no | — |
| 263 | #102 | — | 127 | 1 | no | — |
| 264 | #102 | — | 127 | 1 | no | — |
| 265 | #102 | — | 127 | 1 | no | — |
| 266 | C22⋊C8 | — | 127 | 1 | no | — |
| 267 | C22⋊C8 | — | 127 | 1 | no | — |
| 268 | #97 | — | 127 | 1 | no | — |
| 269 | #41 | — | 2 | 2 | no | — |
| 270 | #41 | — | 2 | 2 | no | — |
| 271 | #41 | — | 4 | 1 | no | — |
| 272 | #41 | — | 4 | 1 | no | — |
| 273 | #41 | — | 508 | 1 | no | — |
| 274 | #41 | — | 254 | 2 | no | — |
| 275 | C2×Q8 | — | 127 | 1 | no | — |
| 276 | C2×Q8 | — | 127 | 1 | no | — |
| 277 | C2×Q8 | — | 508 | 1 | no | — |
| 278 | C2×Q8 | — | 254 | 2 | no | — |
| 279 | C2×Q8 | — | 254 | 1 | no | — |
| 280 | C2×Q8 | C22×D127 | 1 | 1 | yes | characteristic |
| 281 | C2×D4 | — | 2 | 1 | no | — |
| 282 | C2×D4 | — | 2 | 1 | no | — |
| 283 | C2×D4 | — | 2 | 1 | no | — |
| 284 | C2×D4 | — | 2 | 1 | no | — |
| 285 | C2×D4 | — | 2 | 1 | no | — |
| 286 | C2×D4 | — | 2 | 1 | no | — |
| 287 | C2×D4 | — | 127 | 1 | no | — |
| 288 | C2×D4 | — | 254 | 1 | no | — |
| 289 | C2×D4 | — | 254 | 1 | no | — |
| 290 | C2×D4 | C22⋊D127 | 1 | 1 | yes | characteristic |
| 291 | C2×D4 | C22×D127 | 1 | 1 | yes | characteristic |
| 292 | C2×D4 | C22×D127 | 1 | 1 | yes | characteristic |
| 293 | C22×C4 | — | 2 | 1 | no | — |
| 294 | C22×C4 | — | 2 | 1 | no | — |
| 295 | C22×C4 | — | 254 | 1 | no | — |
| 296 | C22×C4 | — | 254 | 1 | no | — |
| 297 | C22×C4 | C22×D127 | 1 | 1 | yes | characteristic |
| 298 | C22×C4 | C22×D127 | 1 | 1 | yes | characteristic |
| 299 | Q16 | — | 127 | 4 | no | — |
| 300 | Q16 | — | 254 | 2 | no | — |
| 301 | SD16 | — | 508 | 1 | no | — |
| 302 | SD16 | — | 254 | 2 | no | — |
| 303 | SD16 | — | 254 | 2 | no | — |
| 304 | SD16 | — | 254 | 2 | no | — |
| 305 | SD16 | — | 254 | 2 | no | — |
| 306 | D8 | — | 508 | 1 | no | — |
| 307 | D8 | — | 254 | 2 | no | — |
| 308 | M16 | — | 254 | 2 | no | — |
| 309 | C2×C8 | — | 127 | 1 | no | — |
| 310 | C2×C8 | — | 127 | 1 | no | — |
| 311 | C2×C8 | — | 127 | 1 | no | — |
| 312 | C2×C8 | — | 127 | 1 | no | — |
| 313 | C2×C8 | — | 254 | 2 | no | — |
| 314 | C4⋊C4 | — | 2 | 1 | no | — |
| 315 | C4⋊C4 | — | 127 | 1 | no | — |
| 316 | C4⋊C4 | — | 254 | 1 | no | — |
| 317 | C4⋊C4 | — | 254 | 1 | no | — |
| 318 | C4⋊C4 | C22⋊D127 | 1 | 1 | yes | characteristic |
| 319 | C4⋊C4 | C22×D127 | 1 | 1 | yes | characteristic |
| 320 | C22⋊C4 | — | 2 | 1 | no | — |
| 321 | C22⋊C4 | — | 2 | 1 | no | — |
| 322 | C22⋊C4 | — | 254 | 1 | no | — |
| 323 | C22⋊C4 | — | 254 | 1 | no | — |
| 324 | C22⋊C4 | — | 254 | 1 | no | — |
| 325 | C22⋊C4 | — | 254 | 1 | no | — |
| 326 | C22⋊C4 | C22⋊D127 | 1 | 1 | yes | characteristic |
| 327 | C22⋊C4 | C22⋊D127 | 1 | 1 | yes | characteristic |
| 328 | C42 | — | 2 | 1 | no | — |
| 329 | C42 | — | 254 | 1 | no | — |
| 330 | C42 | C22×D127 | 1 | 1 | yes | characteristic |
| 331 | C23 | — | 2 | 1 | no | — |
| 332 | C23 | — | 2 | 1 | no | — |
| 333 | C23 | — | 254 | 1 | no | — |
| 334 | C23 | C2×C22⋊D127 | 1 | 1 | yes | characteristic |
| 335 | C23 | C2×C22⋊D127 | 1 | 1 | yes | characteristic |
| 336 | Q8 | — | 2 | 1 | no | — |
| 337 | Q8 | — | 127 | 2 | no | — |
| 338 | Q8 | — | 508 | 2 | no | — |
| 339 | Q8 | — | 254 | 1 | no | — |
| 340 | Q8 | — | 254 | 1 | no | — |
| 341 | Q8 | — | 254 | 1 | no | — |
| 342 | Q8 | D4×D127 | 1 | 2 | yes | — |
| 343 | D4 | — | 2 | 1 | no | — |
| 344 | D4 | — | 2 | 1 | no | — |
| 345 | D4 | — | 2 | 1 | no | — |
| 346 | D4 | — | 2 | 1 | no | — |
| 347 | D4 | — | 4 | 1 | no | — |
| 348 | D4 | — | 4 | 2 | no | — |
| 349 | D4 | — | 4 | 2 | no | — |
| 350 | D4 | — | 4 | 2 | no | — |
| 351 | D4 | — | 8 | 1 | no | — |
| 352 | D4 | — | 8 | 1 | no | — |
| 353 | D4 | — | 8 | 1 | no | — |
| 354 | D4 | — | 508 | 2 | no | — |
| 355 | D4 | — | 508 | 2 | no | — |
| 356 | D4 | — | 254 | 1 | no | — |
| 357 | D4 | — | 254 | 1 | no | — |
| 358 | C2×C4 | — | 2 | 1 | no | — |
| 359 | C2×C4 | — | 2 | 1 | no | — |
| 360 | C2×C4 | — | 2 | 1 | no | — |
| 361 | C2×C4 | — | 2 | 1 | no | — |
| 362 | C2×C4 | — | 2 | 1 | no | — |
| 363 | C2×C4 | — | 2 | 1 | no | — |
| 364 | C2×C4 | — | 4 | 2 | no | — |
| 365 | C2×C4 | — | 4 | 2 | no | — |
| 366 | C2×C4 | — | 508 | 2 | no | — |
| 367 | C2×C4 | — | 508 | 2 | no | — |
| 368 | C2×C4 | — | 254 | 1 | no | — |
| 369 | C2×C4 | — | 254 | 1 | no | — |
| 370 | C2×C4 | — | 254 | 1 | no | — |
| 371 | C2×C4 | C2×C22⋊D127 | 1 | 1 | yes | characteristic |
| 372 | C2×C4 | C2×C22⋊D127 | 1 | 1 | yes | characteristic |
| 373 | C2×C4 | C2×C22⋊D127 | 1 | 1 | yes | characteristic |
| 374 | C2×C4 | C2×C22⋊D127 | 1 | 1 | yes | characteristic |
| 375 | C2×C4 | C23×D127 | 1 | 1 | yes | characteristic |
| 376 | C8 | — | 127 | 2 | no | — |
| 377 | C8 | — | 254 | 1 | no | — |
| 378 | C8 | — | 254 | 1 | no | — |
| 379 | C8 | — | 254 | 1 | no | — |
| 380 | C22 | — | 2 | 1 | no | — |
| 381 | C22 | — | 2 | 1 | no | — |
| 382 | C22 | — | 2 | 1 | no | — |
| 383 | C22 | — | 2 | 1 | no | — |
| 384 | C22 | — | 2 | 1 | no | — |
| 385 | C22 | — | 2 | 1 | no | — |
| 386 | C22 | — | 4 | 1 | no | — |
| 387 | C22 | — | 4 | 1 | no | — |
| 388 | C22 | — | 4 | 1 | no | — |
| 389 | C22 | — | 4 | 1 | no | — |
| 390 | C22 | — | 4 | 1 | no | — |
| 391 | C22 | — | 4 | 1 | no | — |
| 392 | C22 | — | 508 | 1 | no | — |
| 393 | C22 | — | 508 | 1 | no | — |
| 394 | C22 | — | 508 | 1 | no | — |
| 395 | C22 | C22×C22⋊D127 | 1 | 1 | yes | characteristic |
| 396 | C4 | — | 2 | 1 | no | — |
| 397 | C4 | — | 2 | 1 | no | — |
| 398 | C4 | — | 2 | 1 | no | — |
| 399 | C4 | — | 2 | 1 | no | — |
| 400 | C4 | — | 2 | 2 | no | — |
| 401 | C4 | — | 4 | 1 | no | — |
| 402 | C4 | — | 508 | 1 | no | — |
| 403 | C4 | — | 508 | 1 | no | — |
| 404 | C4 | — | 254 | 2 | no | — |
| 405 | C4 | C2×D4×D127 | 1 | 1 | yes | characteristic |
| 406 | C4 | #16861254 | 1 | 1 | yes | characteristic |
| 407 | C2 | — | 4 | 1 | no | — |
| 408 | C2 | — | 4 | 1 | no | — |
| 409 | C2 | — | 8 | 1 | no | — |
| 410 | C2 | — | 8 | 1 | no | — |
| 411 | C2 | — | 1016 | 1 | no | — |
| 412 | C2 | D4×C22⋊D127 | 1 | 1 | yes | characteristic |
| 413 | C2 | #22550674 | 1 | 1 | yes | characteristic |
| 414 | C2 | #22550687 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta