| 1 | C2×#16861230 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #22550537 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #22550520 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #22550257 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #22550105 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #22550102 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #22550096 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #22550093 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #22550035 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #22550032 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #22550020 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #22550010 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | SD16×Dic127 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | C8×C22⋊D127 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C22×SD16×C127 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×#14523249 | C22 | 1 | 1 | yes | characteristic, complemented |
| 17 | C2×#14523247 | C22 | 1 | 1 | yes | characteristic |
| 18 | #16861230 | — | 2 | 4 | no | — |
| 19 | C2×#14523238 | C22 | 1 | 1 | yes | characteristic, complemented |
| 20 | C2×#14523238 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | C2×#14523237 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | C2×#14523233 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×#14523233 | C22 | 1 | 1 | yes | characteristic |
| 24 | C2×C8×D127 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | #16861198 | — | 2 | 1 | no | — |
| 26 | #16861198 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | #16861196 | C22 | 1 | 1 | yes | characteristic |
| 28 | #16861190 | — | 2 | 1 | no | — |
| 29 | #16861188 | C22 | 1 | 1 | yes | characteristic |
| 30 | #16861185 | — | 2 | 1 | no | — |
| 31 | #16861185 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | #16861183 | — | 2 | 1 | no | — |
| 33 | #16861183 | C22 | 1 | 1 | yes | characteristic |
| 34 | #16861181 | — | 2 | 1 | no | — |
| 35 | #16861180 | C22 | 1 | 1 | yes | characteristic |
| 36 | #16861178 | — | 2 | 1 | no | — |
| 37 | Q8×Dic127 | C22 | 1 | 1 | yes | characteristic, complemented |
| 38 | D4×Dic127 | C22 | 1 | 1 | yes | characteristic |
| 39 | C4×C22⋊D127 | — | 2 | 1 | no | — |
| 40 | C4×C22⋊D127 | C22 | 1 | 1 | yes | characteristic |
| 41 | C2×C22⋊Dic127 | — | 2 | 1 | no | — |
| 42 | #16861141 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | Dic127⋊C8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | #16861134 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | #16861133 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | #16861133 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | #16861131 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | #16861130 | C22 | 1 | 1 | yes | characteristic |
| 49 | #16861130 | C22 | 1 | 1 | yes | characteristic |
| 50 | C22⋊(C127⋊C8) | C22 | 1 | 1 | yes | characteristic |
| 51 | (C2×D127)⋊C8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | C8×Dic127 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | C22×Q8×C127 | C22 | 1 | 1 | yes | characteristic |
| 54 | C22×D4×C127 | C22 | 1 | 1 | yes | characteristic |
| 55 | C2×SD16×C127 | — | 2 | 4 | no | — |
| 56 | C2×SD16×C127 | C22 | 1 | 1 | yes | characteristic |
| 57 | C2×SD16×C127 | C22 | 1 | 1 | yes | characteristic |
| 58 | C2×SD16×C127 | C22 | 1 | 1 | yes | characteristic |
| 59 | C2×SD16×C127 | C22 | 1 | 1 | yes | characteristic |
| 60 | C22×C8×C127 | C22 | 1 | 1 | yes | characteristic |
| 61 | #14523249 | — | 2 | 2 | no | — |
| 62 | #14523249 | — | 4 | 1 | no | — |
| 63 | #14523247 | — | 2 | 2 | no | — |
| 64 | #14523247 | — | 4 | 1 | no | — |
| 65 | C2×Dic254 | C23 | 1 | 1 | yes | characteristic |
| 66 | C2×D508 | — | 2 | 1 | no | — |
| 67 | C2×D508 | C23 | 1 | 1 | yes | characteristic |
| 68 | C2×C22⋊D127 | — | 2 | 1 | no | — |
| 69 | C2×C22⋊D127 | — | 2 | 1 | no | — |
| 70 | C2×C22⋊D127 | — | 2 | 1 | no | — |
| 71 | C2×C22⋊D127 | D4 | 1 | 1 | yes | characteristic |
| 72 | C22×Dic127 | — | 2 | 1 | no | — |
| 73 | C22×Dic127 | — | 2 | 1 | no | — |
| 74 | C2×C4×D127 | — | 2 | 1 | no | — |
| 75 | C2×C4×D127 | C23 | 1 | 1 | yes | characteristic |
| 76 | #14523238 | — | 2 | 2 | no | — |
| 77 | #14523238 | — | 4 | 1 | no | — |
| 78 | #14523237 | — | 2 | 2 | no | — |
| 79 | #14523233 | — | 2 | 2 | no | — |
| 80 | #14523233 | — | 4 | 1 | no | — |
| 81 | C2×C127⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 82 | C2×C127⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 83 | C8×D127 | — | 2 | 2 | no | — |
| 84 | C4⋊Dic127 | — | 2 | 1 | no | — |
| 85 | C4⋊Dic127 | C23 | 1 | 1 | yes | characteristic |
| 86 | C4⋊Dic127 | C23 | 1 | 1 | yes | characteristic |
| 87 | Dic127⋊C4 | — | 2 | 1 | no | — |
| 88 | Dic127⋊C4 | — | 2 | 1 | no | — |
| 89 | Dic127⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 90 | C22⋊Dic127 | — | 2 | 1 | no | — |
| 91 | C22⋊Dic127 | — | 2 | 1 | no | — |
| 92 | C22⋊Dic127 | — | 2 | 1 | no | — |
| 93 | C22⋊Dic127 | — | 2 | 1 | no | — |
| 94 | C22⋊Dic127 | — | 2 | 1 | no | — |
| 95 | C22⋊Dic127 | D4 | 1 | 1 | yes | characteristic |
| 96 | (C2×D127)⋊C4 | — | 2 | 1 | no | — |
| 97 | (C2×D127)⋊C4 | — | 2 | 1 | no | — |
| 98 | (C2×D127)⋊C4 | — | 2 | 1 | no | — |
| 99 | (C2×D127)⋊C4 | — | 2 | 1 | no | — |
| 100 | (C2×D127)⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 101 | C4×Dic127 | — | 2 | 1 | no | — |
| 102 | C4×Dic127 | C23 | 1 | 1 | yes | characteristic |
| 103 | C24×C127 | — | 2 | 1 | no | — |
| 104 | C2×Q8×C127 | — | 2 | 1 | no | — |
| 105 | C2×Q8×C127 | — | 2 | 2 | no | — |
| 106 | C2×Q8×C127 | — | 4 | 1 | no | — |
| 107 | C2×Q8×C127 | C23 | 1 | 1 | yes | characteristic |
| 108 | C2×Q8×C127 | C23 | 1 | 1 | yes | characteristic |
| 109 | C2×D4×C127 | — | 2 | 2 | no | — |
| 110 | C2×D4×C127 | — | 2 | 1 | no | — |
| 111 | C2×D4×C127 | — | 4 | 1 | no | — |
| 112 | C2×D4×C127 | C23 | 1 | 1 | yes | characteristic |
| 113 | C2×D4×C127 | C23 | 1 | 1 | yes | characteristic |
| 114 | C22×C4×C127 | — | 2 | 1 | no | — |
| 115 | C22×C4×C127 | C23 | 1 | 1 | yes | characteristic |
| 116 | SD16×C127 | — | 2 | 2 | no | — |
| 117 | SD16×C127 | — | 2 | 2 | no | — |
| 118 | SD16×C127 | — | 2 | 2 | no | — |
| 119 | SD16×C127 | D4 | 1 | 4 | yes | complemented |
| 120 | C2×C8×C127 | — | 2 | 2 | no | — |
| 121 | C2×C8×C127 | C23 | 1 | 1 | yes | characteristic |
| 122 | C2×C8×C127 | C23 | 1 | 1 | yes | characteristic |
| 123 | C22×D127 | — | 2 | 1 | no | — |
| 124 | C22×D127 | C2×D4 | 1 | 1 | yes | characteristic |
| 125 | Dic254 | — | 2 | 1 | no | — |
| 126 | Dic254 | — | 2 | 1 | no | — |
| 127 | D508 | — | 2 | 1 | no | — |
| 128 | D508 | — | 2 | 1 | no | — |
| 129 | D508 | — | 4 | 2 | no | — |
| 130 | C22⋊D127 | — | 2 | 2 | no | — |
| 131 | C22⋊D127 | — | 4 | 2 | no | — |
| 132 | C22⋊D127 | — | 4 | 2 | no | — |
| 133 | C22⋊D127 | — | 8 | 1 | no | — |
| 134 | C2×Dic127 | — | 2 | 1 | no | — |
| 135 | C2×Dic127 | — | 2 | 1 | no | — |
| 136 | C2×Dic127 | — | 2 | 1 | no | — |
| 137 | C2×Dic127 | — | 4 | 2 | no | — |
| 138 | C2×Dic127 | — | 8 | 1 | no | — |
| 139 | C2×Dic127 | C2×D4 | 1 | 1 | yes | characteristic |
| 140 | C2×Dic127 | C2×D4 | 1 | 1 | yes | characteristic |
| 141 | C2×Dic127 | C2×D4 | 1 | 1 | yes | characteristic |
| 142 | C4×D127 | — | 2 | 1 | no | — |
| 143 | C4×D127 | — | 2 | 1 | no | — |
| 144 | C4×D127 | — | 4 | 2 | no | — |
| 145 | C127⋊C8 | — | 2 | 1 | no | — |
| 146 | C127⋊C8 | — | 2 | 1 | no | — |
| 147 | C23×C127 | — | 2 | 1 | no | — |
| 148 | C23×C127 | — | 2 | 1 | no | — |
| 149 | C23×C127 | — | 4 | 2 | no | — |
| 150 | C23×C127 | — | 4 | 2 | no | — |
| 151 | C23×C127 | — | 8 | 1 | no | — |
| 152 | C23×C127 | C2×D4 | 1 | 1 | yes | characteristic |
| 153 | Q8×C127 | — | 2 | 1 | no | — |
| 154 | Q8×C127 | — | 2 | 1 | no | — |
| 155 | Q8×C127 | — | 2 | 1 | no | — |
| 156 | Q8×C127 | — | 4 | 2 | no | — |
| 157 | Q8×C127 | C2×D4 | 1 | 2 | yes | — |
| 158 | D4×C127 | — | 2 | 1 | no | — |
| 159 | D4×C127 | — | 2 | 1 | no | — |
| 160 | D4×C127 | — | 2 | 1 | no | — |
| 161 | D4×C127 | — | 4 | 2 | no | — |
| 162 | D4×C127 | C2×D4 | 1 | 2 | yes | — |
| 163 | C2×C4×C127 | — | 2 | 1 | no | — |
| 164 | C2×C4×C127 | — | 2 | 1 | no | — |
| 165 | C2×C4×C127 | — | 2 | 1 | no | — |
| 166 | C2×C4×C127 | — | 2 | 1 | no | — |
| 167 | C2×C4×C127 | — | 4 | 2 | no | — |
| 168 | C2×C4×C127 | C2×D4 | 1 | 1 | yes | characteristic |
| 169 | C2×C4×C127 | C24 | 1 | 1 | yes | characteristic |
| 170 | C8×C127 | — | 2 | 1 | no | — |
| 171 | C8×C127 | C2×D4 | 1 | 2 | yes | — |
| 172 | C22×C127 | — | 2 | 1 | no | — |
| 173 | C22×C127 | — | 2 | 1 | no | — |
| 174 | C22×C127 | — | 2 | 2 | no | — |
| 175 | C22×C127 | — | 4 | 1 | no | — |
| 176 | C22×C127 | — | 4 | 1 | no | — |
| 177 | C22×C127 | — | 4 | 1 | no | — |
| 178 | C22×C127 | — | 4 | 1 | no | — |
| 179 | C22×C127 | — | 4 | 1 | no | — |
| 180 | C22×C127 | — | 8 | 4 | no | — |
| 181 | C22×C127 | #135 | 1 | 2 | yes | complemented |
| 182 | C22×C127 | C22×D4 | 1 | 1 | yes | characteristic |
| 183 | C2×D127 | — | 2 | 1 | no | — |
| 184 | C2×D127 | — | 2 | 1 | no | — |
| 185 | C2×D127 | — | 2 | 1 | no | — |
| 186 | C2×D127 | — | 4 | 1 | no | — |
| 187 | C2×D127 | — | 4 | 1 | no | — |
| 188 | C2×D127 | — | 4 | 1 | no | — |
| 189 | C4×C127 | — | 2 | 1 | no | — |
| 190 | C4×C127 | — | 2 | 2 | no | — |
| 191 | C4×C127 | — | 4 | 1 | no | — |
| 192 | C4×C127 | C22×D4 | 1 | 1 | yes | characteristic |
| 193 | C4×C127 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 194 | Dic127 | — | 2 | 1 | no | — |
| 195 | Dic127 | — | 2 | 1 | no | — |
| 196 | Dic127 | — | 2 | 1 | no | — |
| 197 | Dic127 | — | 4 | 1 | no | — |
| 198 | Dic127 | — | 4 | 1 | no | — |
| 199 | Dic127 | — | 4 | 1 | no | — |
| 200 | C2×C127 | — | 2 | 2 | no | — |
| 201 | C2×C127 | — | 4 | 2 | no | — |
| 202 | C2×C127 | — | 8 | 1 | no | — |
| 203 | C2×C127 | D42 | 1 | 1 | yes | characteristic |
| 204 | C2×C127 | C2×#135 | 1 | 1 | yes | characteristic |
| 205 | C2×C127 | #577 | 1 | 1 | yes | characteristic |
| 206 | D127 | — | 4 | 1 | no | — |
| 207 | D127 | — | 8 | 1 | no | — |
| 208 | #3282 | — | 127 | 1 | no | maximal, Sylow |
| 209 | C127 | #3282 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 210 | C2×#135 | — | 127 | 1 | no | — |
| 211 | C22×SD16 | D127 | 1 | 1 | yes | characteristic, complemented |
| 212 | #548 | — | 127 | 1 | no | — |
| 213 | #546 | — | 127 | 1 | no | — |
| 214 | #495 | — | 127 | 1 | no | — |
| 215 | #465 | — | 127 | 1 | no | — |
| 216 | #465 | — | 127 | 1 | no | — |
| 217 | #464 | — | 127 | 1 | no | — |
| 218 | #463 | — | 127 | 1 | no | — |
| 219 | #452 | — | 127 | 1 | no | — |
| 220 | #451 | — | 127 | 1 | no | — |
| 221 | #449 | — | 127 | 1 | no | — |
| 222 | #447 | — | 127 | 1 | no | — |
| 223 | C4×SD16 | — | 127 | 1 | no | — |
| 224 | C8×D4 | — | 127 | 1 | no | — |
| 225 | C2×#41 | — | 127 | 1 | no | — |
| 226 | C2×#41 | — | 127 | 1 | no | — |
| 227 | C22×Q8 | C2×D127 | 1 | 1 | yes | characteristic |
| 228 | C22×D4 | C2×D127 | 1 | 1 | yes | characteristic |
| 229 | #135 | — | 254 | 4 | no | — |
| 230 | C2×Q16 | — | 127 | 1 | no | — |
| 231 | C2×Q16 | — | 127 | 1 | no | — |
| 232 | C2×SD16 | — | 2 | 4 | no | — |
| 233 | C2×SD16 | — | 127 | 1 | no | — |
| 234 | C2×SD16 | C2×D127 | 1 | 1 | yes | characteristic |
| 235 | C2×SD16 | C2×D127 | 1 | 1 | yes | characteristic |
| 236 | C2×SD16 | C2×D127 | 1 | 1 | yes | characteristic |
| 237 | C2×SD16 | C2×D127 | 1 | 1 | yes | characteristic |
| 238 | C2×D8 | — | 127 | 1 | no | — |
| 239 | C2×D8 | — | 127 | 1 | no | — |
| 240 | C22×C8 | — | 127 | 1 | no | — |
| 241 | C22×C8 | C2×D127 | 1 | 1 | yes | characteristic |
| 242 | #124 | — | 127 | 1 | no | — |
| 243 | #124 | — | 127 | 1 | no | — |
| 244 | #124 | — | 254 | 1 | no | — |
| 245 | #123 | — | 254 | 1 | no | — |
| 246 | C22⋊Q8 | — | 127 | 1 | no | — |
| 247 | C22⋊Q8 | — | 127 | 1 | no | — |
| 248 | C22⋊Q8 | — | 254 | 1 | no | — |
| 249 | #121 | — | 127 | 1 | no | — |
| 250 | #121 | — | 127 | 1 | no | — |
| 251 | #121 | — | 254 | 1 | no | — |
| 252 | #121 | — | 254 | 1 | no | — |
| 253 | #120 | — | 254 | 1 | no | — |
| 254 | C4×Q8 | — | 127 | 1 | no | — |
| 255 | C4×D4 | — | 127 | 1 | no | — |
| 256 | C4×D4 | — | 127 | 1 | no | — |
| 257 | C4×D4 | — | 254 | 1 | no | — |
| 258 | C2×C22⋊C4 | — | 254 | 1 | no | — |
| 259 | #106 | — | 127 | 1 | no | — |
| 260 | C4⋊C8 | — | 127 | 1 | no | — |
| 261 | #103 | — | 127 | 1 | no | — |
| 262 | #103 | — | 127 | 1 | no | — |
| 263 | #103 | — | 127 | 1 | no | — |
| 264 | #102 | — | 127 | 1 | no | — |
| 265 | #102 | — | 127 | 1 | no | — |
| 266 | #102 | — | 127 | 1 | no | — |
| 267 | C22⋊C8 | — | 127 | 1 | no | — |
| 268 | C22⋊C8 | — | 127 | 1 | no | — |
| 269 | C4×C8 | — | 127 | 1 | no | — |
| 270 | C24 | — | 2 | 1 | no | — |
| 271 | #41 | — | 508 | 1 | no | — |
| 272 | #41 | — | 508 | 1 | no | — |
| 273 | #41 | — | 254 | 2 | no | — |
| 274 | #41 | — | 254 | 2 | no | — |
| 275 | C2×Q8 | — | 2 | 1 | no | — |
| 276 | C2×Q8 | — | 2 | 2 | no | — |
| 277 | C2×Q8 | — | 4 | 1 | no | — |
| 278 | C2×Q8 | — | 127 | 1 | no | — |
| 279 | C2×Q8 | C22×D127 | 1 | 1 | yes | characteristic |
| 280 | C2×Q8 | C22×D127 | 1 | 1 | yes | characteristic |
| 281 | C2×D4 | — | 2 | 2 | no | — |
| 282 | C2×D4 | — | 2 | 1 | no | — |
| 283 | C2×D4 | — | 4 | 1 | no | — |
| 284 | C2×D4 | — | 127 | 1 | no | — |
| 285 | C2×D4 | — | 127 | 1 | no | — |
| 286 | C2×D4 | — | 254 | 1 | no | — |
| 287 | C2×D4 | — | 254 | 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 | C22×C4 | — | 2 | 1 | no | — |
| 293 | C22×C4 | — | 127 | 1 | no | — |
| 294 | C22×C4 | — | 254 | 1 | no | — |
| 295 | C22×C4 | — | 254 | 1 | no | — |
| 296 | C22×C4 | — | 254 | 1 | no | — |
| 297 | C22×C4 | C22×D127 | 1 | 1 | yes | characteristic |
| 298 | Q16 | — | 508 | 1 | no | — |
| 299 | Q16 | — | 254 | 2 | no | — |
| 300 | SD16 | — | 2 | 2 | no | — |
| 301 | SD16 | — | 2 | 2 | no | — |
| 302 | SD16 | — | 2 | 2 | no | — |
| 303 | SD16 | — | 254 | 2 | no | — |
| 304 | SD16 | C22⋊D127 | 1 | 4 | yes | complemented |
| 305 | D8 | — | 508 | 1 | no | — |
| 306 | D8 | — | 254 | 2 | no | — |
| 307 | C2×C8 | — | 2 | 2 | no | — |
| 308 | C2×C8 | — | 127 | 1 | no | — |
| 309 | C2×C8 | — | 127 | 1 | no | — |
| 310 | C2×C8 | — | 254 | 2 | no | — |
| 311 | C2×C8 | C22×D127 | 1 | 1 | yes | characteristic |
| 312 | C2×C8 | C22×D127 | 1 | 1 | yes | characteristic |
| 313 | C4⋊C4 | — | 127 | 1 | no | — |
| 314 | C4⋊C4 | — | 127 | 1 | no | — |
| 315 | C4⋊C4 | — | 127 | 1 | no | — |
| 316 | C4⋊C4 | — | 254 | 1 | no | — |
| 317 | C4⋊C4 | — | 254 | 1 | no | — |
| 318 | C4⋊C4 | — | 254 | 1 | no | — |
| 319 | C22⋊C4 | — | 127 | 1 | no | — |
| 320 | C22⋊C4 | — | 127 | 1 | no | — |
| 321 | C22⋊C4 | — | 254 | 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 | — | 254 | 1 | no | — |
| 327 | C22⋊C4 | — | 254 | 1 | no | — |
| 328 | C22⋊C4 | — | 254 | 1 | no | — |
| 329 | C22⋊C4 | — | 254 | 1 | no | — |
| 330 | C42 | — | 127 | 1 | no | — |
| 331 | C42 | — | 254 | 1 | no | — |
| 332 | C23 | — | 2 | 1 | no | — |
| 333 | C23 | — | 2 | 1 | no | — |
| 334 | C23 | — | 4 | 2 | no | — |
| 335 | C23 | — | 4 | 2 | no | — |
| 336 | C23 | — | 8 | 1 | no | — |
| 337 | C23 | — | 127 | 1 | no | — |
| 338 | C23 | — | 254 | 1 | no | — |
| 339 | C23 | D4×D127 | 1 | 1 | yes | characteristic |
| 340 | Q8 | — | 2 | 1 | no | — |
| 341 | Q8 | — | 2 | 1 | no | — |
| 342 | Q8 | — | 2 | 1 | no | — |
| 343 | Q8 | — | 4 | 2 | no | — |
| 344 | Q8 | — | 254 | 1 | no | — |
| 345 | Q8 | — | 254 | 1 | no | — |
| 346 | Q8 | C2×C22⋊D127 | 1 | 2 | yes | — |
| 347 | D4 | — | 2 | 1 | no | — |
| 348 | D4 | — | 2 | 1 | no | — |
| 349 | D4 | — | 2 | 1 | no | — |
| 350 | D4 | — | 4 | 2 | no | — |
| 351 | D4 | — | 1016 | 1 | no | — |
| 352 | D4 | — | 508 | 2 | no | — |
| 353 | D4 | — | 508 | 2 | no | — |
| 354 | D4 | — | 508 | 2 | no | — |
| 355 | D4 | — | 254 | 2 | no | — |
| 356 | D4 | — | 254 | 1 | no | — |
| 357 | D4 | — | 254 | 1 | no | — |
| 358 | D4 | C2×C22⋊D127 | 1 | 2 | yes | — |
| 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 | — | 4 | 2 | no | — |
| 364 | C2×C4 | — | 127 | 1 | no | — |
| 365 | C2×C4 | — | 127 | 1 | no | — |
| 366 | C2×C4 | — | 127 | 1 | no | — |
| 367 | C2×C4 | — | 1016 | 1 | no | — |
| 368 | C2×C4 | — | 508 | 2 | no | — |
| 369 | C2×C4 | — | 508 | 2 | no | — |
| 370 | C2×C4 | — | 254 | 1 | no | — |
| 371 | C2×C4 | — | 254 | 1 | no | — |
| 372 | C2×C4 | — | 254 | 1 | no | — |
| 373 | C2×C4 | — | 254 | 1 | no | — |
| 374 | C2×C4 | — | 254 | 1 | no | — |
| 375 | C2×C4 | D4×D127 | 1 | 1 | yes | characteristic |
| 376 | C2×C4 | C23×D127 | 1 | 1 | yes | characteristic |
| 377 | C8 | — | 2 | 1 | no | — |
| 378 | C8 | — | 254 | 1 | no | — |
| 379 | C8 | — | 254 | 1 | no | — |
| 380 | C8 | C2×C22⋊D127 | 1 | 2 | yes | — |
| 381 | C22 | — | 2 | 1 | no | — |
| 382 | C22 | — | 2 | 1 | no | — |
| 383 | C22 | — | 2 | 2 | no | — |
| 384 | C22 | — | 4 | 1 | no | — |
| 385 | C22 | — | 4 | 1 | no | — |
| 386 | C22 | — | 4 | 1 | no | — |
| 387 | C22 | — | 4 | 1 | no | — |
| 388 | C22 | — | 4 | 1 | no | — |
| 389 | C22 | — | 8 | 4 | no | — |
| 390 | C22 | — | 508 | 1 | no | — |
| 391 | C22 | — | 508 | 1 | no | — |
| 392 | C22 | — | 508 | 1 | no | — |
| 393 | C22 | — | 254 | 1 | no | — |
| 394 | C22 | — | 254 | 1 | no | — |
| 395 | C22 | — | 254 | 1 | no | — |
| 396 | C22 | #16861230 | 1 | 2 | yes | complemented |
| 397 | C22 | C2×D4×D127 | 1 | 1 | yes | characteristic |
| 398 | C4 | — | 2 | 1 | no | — |
| 399 | C4 | — | 2 | 2 | no | — |
| 400 | C4 | — | 4 | 1 | no | — |
| 401 | C4 | — | 508 | 1 | no | — |
| 402 | C4 | — | 508 | 1 | no | — |
| 403 | C4 | — | 508 | 1 | no | — |
| 404 | C4 | — | 254 | 1 | no | — |
| 405 | C4 | — | 254 | 1 | no | — |
| 406 | C4 | — | 254 | 1 | no | — |
| 407 | C4 | C22×C22⋊D127 | 1 | 1 | yes | characteristic |
| 408 | C4 | #16861254 | 1 | 1 | yes | characteristic |
| 409 | C2 | — | 2 | 2 | no | — |
| 410 | C2 | — | 4 | 2 | no | — |
| 411 | C2 | — | 8 | 1 | no | — |
| 412 | C2 | — | 1016 | 1 | no | — |
| 413 | C2 | — | 508 | 1 | no | — |
| 414 | C2 | D4×C22⋊D127 | 1 | 1 | yes | characteristic |
| 415 | C2 | C2×#16861230 | 1 | 1 | yes | characteristic |
| 416 | C2 | #22550682 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta