| 1 | C2×Q16×D127 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×SD16×D127 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #124×D127 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | C4×Q8×D127 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #22550101 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #22550100 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #22550099 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #22550098 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #22550097 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #22550096 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #22550095 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C4⋊C8×D127 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #103×D127 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #102×D127 | C2 | 1 | 1 | yes | maximal, characteristic |
| 15 | #464×C127 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×Q8×D127 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×Q8×D127 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×D4×D127 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×Dic508 | C22 | 1 | 1 | yes | characteristic, complemented |
| 20 | C2×#14523238 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | C2×#14523238 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | Q16×D127 | — | 2 | 4 | no | — |
| 23 | C2×#14523237 | C22 | 1 | 1 | yes | characteristic |
| 24 | C2×#14523236 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×#14523235 | C22 | 1 | 1 | yes | characteristic |
| 26 | SD16×D127 | — | 2 | 4 | no | — |
| 27 | C2×C8×D127 | C22 | 1 | 1 | yes | characteristic |
| 28 | C2×C8×D127 | C22 | 1 | 1 | yes | characteristic |
| 29 | #16861198 | C22 | 1 | 1 | yes | characteristic |
| 30 | #16861197 | C22 | 1 | 1 | yes | characteristic |
| 31 | #16861196 | C22 | 1 | 1 | yes | characteristic |
| 32 | #16861195 | — | 2 | 1 | no | — |
| 33 | #16861195 | — | 2 | 1 | no | — |
| 34 | Q8×Dic127 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | C4×Dic254 | — | 2 | 1 | no | — |
| 36 | C4×Dic254 | C22 | 1 | 1 | yes | characteristic, complemented |
| 37 | #16861174 | — | 2 | 1 | no | — |
| 38 | #16861174 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | C4⋊C4×D127 | — | 2 | 1 | no | — |
| 40 | C4⋊C4×D127 | C22 | 1 | 1 | yes | characteristic |
| 41 | C22⋊C4×D127 | — | 2 | 1 | no | — |
| 42 | C22⋊C4×D127 | — | 2 | 1 | no | — |
| 43 | C42×D127 | — | 2 | 1 | no | — |
| 44 | C42×D127 | C22 | 1 | 1 | yes | characteristic |
| 45 | C4⋊(C127⋊C8) | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | Dic127⋊C8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | Dic127⋊C8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | #16861134 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | #16861133 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | #16861132 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | #16861131 | C22 | 1 | 1 | yes | characteristic |
| 52 | #16861130 | C22 | 1 | 1 | yes | characteristic |
| 53 | #16861129 | C22 | 1 | 1 | yes | characteristic |
| 54 | C2×Q16×C127 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | C2×SD16×C127 | C22 | 1 | 1 | yes | characteristic |
| 56 | #124×C127 | C22 | 1 | 1 | yes | characteristic |
| 57 | C4×Q8×C127 | C22 | 1 | 1 | yes | characteristic, complemented |
| 58 | C4⋊C8×C127 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | #103×C127 | C22 | 1 | 1 | yes | characteristic, complemented |
| 60 | #102×C127 | C22 | 1 | 1 | yes | characteristic |
| 61 | C23×D127 | — | 2 | 1 | no | — |
| 62 | C2×Dic254 | — | 2 | 1 | no | — |
| 63 | C2×Dic254 | — | 2 | 1 | no | — |
| 64 | C2×Dic254 | C23 | 1 | 1 | yes | characteristic |
| 65 | C2×Dic254 | C23 | 1 | 1 | yes | characteristic |
| 66 | Q8×D127 | — | 2 | 2 | no | — |
| 67 | Q8×D127 | — | 2 | 2 | no | — |
| 68 | Q8×D127 | — | 2 | 2 | no | — |
| 69 | Q8×D127 | D4 | 1 | 4 | yes | — |
| 70 | C2×D508 | C23 | 1 | 1 | yes | characteristic |
| 71 | C2×C22⋊D127 | — | 2 | 1 | no | — |
| 72 | D4×D127 | — | 2 | 2 | no | — |
| 73 | D4×D127 | — | 2 | 2 | no | — |
| 74 | C2×C4×D127 | — | 2 | 1 | no | — |
| 75 | C2×C4×D127 | — | 2 | 1 | no | — |
| 76 | C2×C4×D127 | — | 2 | 1 | no | — |
| 77 | C2×C4×D127 | D4 | 1 | 1 | yes | characteristic |
| 78 | C2×C4×D127 | D4 | 1 | 1 | yes | characteristic |
| 79 | C2×C4×D127 | C23 | 1 | 1 | yes | characteristic |
| 80 | Dic508 | — | 2 | 2 | no | — |
| 81 | #14523238 | — | 2 | 2 | no | — |
| 82 | #14523238 | — | 2 | 2 | no | — |
| 83 | #14523237 | — | 2 | 2 | no | — |
| 84 | #14523236 | — | 2 | 2 | no | — |
| 85 | #14523235 | — | 2 | 2 | no | — |
| 86 | C2×C127⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 87 | C2×C127⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 88 | C8×D127 | — | 2 | 2 | no | — |
| 89 | C8×D127 | — | 2 | 2 | no | — |
| 90 | C4⋊Dic127 | — | 2 | 1 | no | — |
| 91 | C4⋊Dic127 | C23 | 1 | 1 | yes | characteristic |
| 92 | Dic127⋊C4 | — | 2 | 1 | no | — |
| 93 | Dic127⋊C4 | — | 2 | 1 | no | — |
| 94 | Dic127⋊C4 | — | 2 | 1 | no | — |
| 95 | C22⋊Dic127 | — | 2 | 1 | no | — |
| 96 | C22⋊Dic127 | — | 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 | — | 2 | 1 | no | — |
| 101 | C4×Dic127 | — | 2 | 1 | no | — |
| 102 | C4×Dic127 | — | 2 | 1 | no | — |
| 103 | C4×Dic127 | — | 2 | 1 | no | — |
| 104 | C4×Dic127 | D4 | 1 | 1 | yes | characteristic |
| 105 | C4×Dic127 | D4 | 1 | 1 | yes | characteristic |
| 106 | C4×Dic127 | C23 | 1 | 1 | yes | characteristic |
| 107 | C2×Q8×C127 | C23 | 1 | 1 | yes | characteristic |
| 108 | C2×Q8×C127 | C23 | 1 | 1 | yes | characteristic |
| 109 | C2×D4×C127 | C23 | 1 | 1 | yes | characteristic |
| 110 | Q16×C127 | — | 2 | 2 | no | — |
| 111 | SD16×C127 | — | 2 | 2 | no | — |
| 112 | C2×C8×C127 | C23 | 1 | 1 | yes | characteristic |
| 113 | C2×C8×C127 | C23 | 1 | 1 | yes | characteristic |
| 114 | C4⋊C4×C127 | — | 2 | 1 | no | — |
| 115 | C4⋊C4×C127 | C23 | 1 | 1 | yes | characteristic |
| 116 | C22⋊C4×C127 | — | 2 | 1 | no | — |
| 117 | C22⋊C4×C127 | — | 2 | 1 | no | — |
| 118 | C42×C127 | — | 2 | 1 | no | — |
| 119 | C42×C127 | C23 | 1 | 1 | yes | characteristic |
| 120 | C22×D127 | — | 2 | 1 | no | — |
| 121 | C22×D127 | — | 4 | 2 | no | — |
| 122 | C22×D127 | — | 4 | 2 | no | — |
| 123 | C22×D127 | — | 4 | 2 | no | — |
| 124 | C22×D127 | C2×D4 | 1 | 1 | yes | characteristic |
| 125 | Dic254 | — | 2 | 1 | no | — |
| 126 | Dic254 | — | 2 | 4 | no | — |
| 127 | Dic254 | — | 2 | 1 | no | — |
| 128 | Dic254 | — | 2 | 1 | no | — |
| 129 | Dic254 | — | 4 | 2 | no | — |
| 130 | Dic254 | C2×D4 | 1 | 2 | yes | — |
| 131 | D508 | — | 2 | 1 | no | — |
| 132 | D508 | — | 2 | 1 | no | — |
| 133 | C22⋊D127 | — | 4 | 2 | no | — |
| 134 | C2×Dic127 | — | 2 | 1 | no | — |
| 135 | C2×Dic127 | — | 2 | 1 | no | — |
| 136 | C2×Dic127 | — | 2 | 1 | no | — |
| 137 | C2×Dic127 | C2×D4 | 1 | 1 | yes | characteristic |
| 138 | C2×Dic127 | C2×D4 | 1 | 1 | yes | characteristic |
| 139 | C2×Dic127 | C2×D4 | 1 | 1 | yes | characteristic |
| 140 | C4×D127 | — | 2 | 4 | no | — |
| 141 | C4×D127 | — | 2 | 2 | no | — |
| 142 | C4×D127 | — | 2 | 2 | no | — |
| 143 | C4×D127 | — | 4 | 2 | no | — |
| 144 | C4×D127 | — | 4 | 2 | no | — |
| 145 | C4×D127 | C2×D4 | 1 | 2 | yes | — |
| 146 | C4×D127 | #41 | 1 | 2 | yes | — |
| 147 | C127⋊C8 | — | 2 | 1 | no | — |
| 148 | C127⋊C8 | — | 2 | 1 | no | — |
| 149 | C23×C127 | — | 2 | 1 | no | — |
| 150 | Q8×C127 | — | 2 | 1 | no | — |
| 151 | Q8×C127 | — | 2 | 1 | no | — |
| 152 | Q8×C127 | — | 2 | 1 | no | — |
| 153 | Q8×C127 | C2×D4 | 1 | 2 | yes | — |
| 154 | D4×C127 | — | 2 | 1 | no | — |
| 155 | D4×C127 | — | 2 | 1 | no | — |
| 156 | C2×C4×C127 | — | 2 | 1 | no | — |
| 157 | C2×C4×C127 | — | 2 | 1 | no | — |
| 158 | C2×C4×C127 | — | 2 | 1 | no | — |
| 159 | C2×C4×C127 | C2×D4 | 1 | 1 | yes | characteristic |
| 160 | C2×C4×C127 | C2×D4 | 1 | 1 | yes | characteristic |
| 161 | C2×C4×C127 | C24 | 1 | 1 | yes | characteristic |
| 162 | C8×C127 | — | 2 | 1 | no | — |
| 163 | C8×C127 | — | 2 | 1 | no | — |
| 164 | C22×C127 | — | 4 | 1 | no | — |
| 165 | C22×C127 | — | 4 | 1 | no | — |
| 166 | C22×C127 | — | 4 | 1 | no | — |
| 167 | C22×C127 | C22×D4 | 1 | 1 | yes | characteristic |
| 168 | C2×D127 | — | 4 | 1 | no | — |
| 169 | C2×D127 | — | 4 | 1 | no | — |
| 170 | C2×D127 | — | 4 | 1 | no | — |
| 171 | C2×D127 | — | 8 | 4 | no | — |
| 172 | C2×D127 | #121 | 1 | 2 | yes | — |
| 173 | C2×D127 | #135 | 1 | 2 | yes | — |
| 174 | C2×D127 | #137 | 1 | 2 | yes | — |
| 175 | C4×C127 | — | 2 | 2 | no | — |
| 176 | C4×C127 | — | 2 | 1 | no | — |
| 177 | C4×C127 | — | 2 | 1 | no | — |
| 178 | C4×C127 | — | 4 | 1 | no | — |
| 179 | C4×C127 | — | 4 | 1 | no | — |
| 180 | C4×C127 | C22×D4 | 1 | 1 | yes | characteristic |
| 181 | C4×C127 | C2×#41 | 1 | 1 | yes | characteristic |
| 182 | Dic127 | — | 2 | 2 | no | — |
| 183 | Dic127 | — | 2 | 1 | no | — |
| 184 | Dic127 | — | 2 | 1 | no | — |
| 185 | Dic127 | — | 4 | 1 | no | — |
| 186 | Dic127 | — | 4 | 1 | no | — |
| 187 | Dic127 | #121 | 1 | 2 | yes | — |
| 188 | C2×C127 | — | 8 | 1 | no | — |
| 189 | C2×C127 | C2×#121 | 1 | 1 | yes | characteristic |
| 190 | C2×C127 | C2×#135 | 1 | 1 | yes | characteristic |
| 191 | C2×C127 | C2×#137 | 1 | 1 | yes | characteristic |
| 192 | D127 | — | 8 | 1 | no | — |
| 193 | D127 | #464 | 1 | 4 | yes | direct product factor |
| 194 | C2×#464 | — | 127 | 1 | no | maximal, Sylow |
| 195 | C127 | C2×#464 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 196 | C22×Q16 | — | 127 | 1 | no | — |
| 197 | C22×SD16 | — | 127 | 1 | no | — |
| 198 | C2×#124 | — | 127 | 1 | no | — |
| 199 | C2×C4×Q8 | — | 127 | 1 | no | — |
| 200 | #464 | — | 127 | 1 | no | — |
| 201 | #464 | — | 127 | 1 | no | — |
| 202 | #464 | — | 127 | 1 | no | — |
| 203 | #464 | — | 127 | 1 | no | — |
| 204 | #464 | — | 127 | 1 | no | — |
| 205 | #464 | — | 127 | 1 | no | — |
| 206 | #464 | — | 127 | 1 | no | — |
| 207 | #464 | D127 | 1 | 1 | yes | characteristic, direct product factor |
| 208 | C2×C4⋊C8 | — | 127 | 1 | no | — |
| 209 | C2×#103 | — | 127 | 1 | no | — |
| 210 | C2×#102 | — | 127 | 1 | no | — |
| 211 | C22×Q8 | — | 127 | 1 | no | — |
| 212 | C22×Q8 | — | 127 | 1 | no | — |
| 213 | C22×D4 | — | 127 | 1 | no | — |
| 214 | C2×Q16 | — | 127 | 1 | no | — |
| 215 | C2×Q16 | — | 127 | 1 | no | — |
| 216 | C2×Q16 | — | 127 | 1 | no | — |
| 217 | C2×Q16 | — | 254 | 4 | no | — |
| 218 | C2×Q16 | C2×D127 | 1 | 1 | yes | characteristic, complemented |
| 219 | C2×SD16 | — | 127 | 1 | no | — |
| 220 | C2×SD16 | — | 127 | 1 | no | — |
| 221 | C2×SD16 | — | 127 | 1 | no | — |
| 222 | C2×SD16 | — | 254 | 4 | no | — |
| 223 | C2×SD16 | C2×D127 | 1 | 1 | yes | characteristic |
| 224 | C22×C8 | — | 127 | 1 | no | — |
| 225 | C22×C8 | — | 127 | 1 | no | — |
| 226 | #124 | — | 127 | 1 | no | — |
| 227 | #124 | — | 127 | 1 | no | — |
| 228 | #124 | — | 127 | 1 | no | — |
| 229 | #124 | — | 254 | 1 | no | — |
| 230 | #124 | — | 254 | 1 | no | — |
| 231 | #124 | C2×D127 | 1 | 1 | yes | characteristic |
| 232 | C4×Q8 | — | 127 | 1 | no | — |
| 233 | C4×Q8 | — | 127 | 1 | no | — |
| 234 | C4×Q8 | — | 127 | 1 | no | — |
| 235 | C4×Q8 | — | 254 | 1 | no | — |
| 236 | C4×Q8 | — | 254 | 1 | no | — |
| 237 | C4×Q8 | C2×D127 | 1 | 1 | yes | characteristic, complemented |
| 238 | C2×C4⋊C4 | — | 127 | 1 | no | — |
| 239 | C2×C4⋊C4 | — | 254 | 1 | no | — |
| 240 | C2×C22⋊C4 | — | 254 | 1 | no | — |
| 241 | C2×C22⋊C4 | — | 254 | 1 | no | — |
| 242 | C2×C42 | — | 127 | 1 | no | — |
| 243 | C2×C42 | — | 254 | 1 | no | — |
| 244 | C4⋊C8 | — | 127 | 1 | no | — |
| 245 | C4⋊C8 | — | 127 | 1 | no | — |
| 246 | C4⋊C8 | — | 127 | 1 | no | — |
| 247 | C4⋊C8 | C2×D127 | 1 | 1 | yes | characteristic, complemented |
| 248 | #103 | — | 127 | 1 | no | — |
| 249 | #103 | — | 127 | 1 | no | — |
| 250 | #103 | — | 127 | 1 | no | — |
| 251 | #103 | C2×D127 | 1 | 1 | yes | characteristic, complemented |
| 252 | #102 | — | 127 | 1 | no | — |
| 253 | #102 | — | 127 | 1 | no | — |
| 254 | #102 | — | 127 | 1 | no | — |
| 255 | #102 | C2×D127 | 1 | 1 | yes | characteristic |
| 256 | C24 | — | 254 | 1 | no | — |
| 257 | C2×Q8 | — | 127 | 4 | no | — |
| 258 | C2×Q8 | — | 127 | 1 | no | — |
| 259 | C2×Q8 | — | 127 | 1 | no | — |
| 260 | C2×Q8 | — | 254 | 1 | no | — |
| 261 | C2×Q8 | — | 254 | 1 | no | — |
| 262 | C2×Q8 | — | 254 | 2 | no | — |
| 263 | C2×Q8 | — | 254 | 2 | no | — |
| 264 | C2×Q8 | — | 254 | 2 | no | — |
| 265 | C2×Q8 | C22×D127 | 1 | 1 | yes | characteristic |
| 266 | C2×Q8 | C22×D127 | 1 | 1 | yes | characteristic |
| 267 | C2×D4 | — | 127 | 1 | no | — |
| 268 | C2×D4 | — | 254 | 2 | no | — |
| 269 | C2×D4 | — | 254 | 2 | no | — |
| 270 | C2×D4 | — | 254 | 1 | no | — |
| 271 | C2×D4 | C22×D127 | 1 | 1 | yes | characteristic |
| 272 | C22×C4 | — | 127 | 1 | no | — |
| 273 | C22×C4 | — | 127 | 1 | no | — |
| 274 | C22×C4 | — | 127 | 1 | no | — |
| 275 | C22×C4 | — | 254 | 1 | no | — |
| 276 | C22×C4 | — | 254 | 1 | no | — |
| 277 | C22×C4 | — | 254 | 1 | no | — |
| 278 | Q16 | — | 2 | 2 | no | — |
| 279 | Q16 | — | 254 | 2 | no | — |
| 280 | Q16 | — | 254 | 2 | no | — |
| 281 | Q16 | — | 254 | 2 | no | — |
| 282 | SD16 | — | 2 | 2 | no | — |
| 283 | SD16 | — | 254 | 2 | no | — |
| 284 | SD16 | — | 254 | 2 | no | — |
| 285 | SD16 | — | 254 | 2 | no | — |
| 286 | C2×C8 | — | 127 | 1 | no | — |
| 287 | C2×C8 | — | 127 | 1 | no | — |
| 288 | C2×C8 | — | 254 | 2 | no | — |
| 289 | C2×C8 | — | 254 | 2 | no | — |
| 290 | C2×C8 | C22×D127 | 1 | 1 | yes | characteristic |
| 291 | C2×C8 | C22×D127 | 1 | 1 | yes | characteristic |
| 292 | C4⋊C4 | — | 2 | 1 | no | — |
| 293 | C4⋊C4 | — | 127 | 1 | no | — |
| 294 | C4⋊C4 | — | 254 | 1 | no | — |
| 295 | C4⋊C4 | — | 254 | 1 | no | — |
| 296 | C4⋊C4 | — | 254 | 1 | no | — |
| 297 | C4⋊C4 | — | 254 | 1 | no | — |
| 298 | C4⋊C4 | C22×D127 | 1 | 1 | yes | characteristic |
| 299 | C22⋊C4 | — | 2 | 1 | no | — |
| 300 | C22⋊C4 | — | 2 | 1 | no | — |
| 301 | C22⋊C4 | — | 254 | 1 | no | — |
| 302 | C22⋊C4 | — | 254 | 1 | no | — |
| 303 | C22⋊C4 | — | 254 | 1 | no | — |
| 304 | C22⋊C4 | — | 254 | 1 | no | — |
| 305 | C22⋊C4 | — | 254 | 1 | no | — |
| 306 | C22⋊C4 | — | 254 | 1 | no | — |
| 307 | C42 | — | 2 | 1 | no | — |
| 308 | C42 | — | 127 | 1 | no | — |
| 309 | C42 | — | 127 | 1 | no | — |
| 310 | C42 | — | 127 | 1 | no | — |
| 311 | C42 | — | 254 | 1 | no | — |
| 312 | C42 | — | 254 | 1 | no | — |
| 313 | C42 | — | 254 | 1 | no | — |
| 314 | C42 | C22×D127 | 1 | 1 | yes | characteristic |
| 315 | C23 | — | 2 | 1 | no | — |
| 316 | C23 | — | 127 | 1 | no | — |
| 317 | C23 | — | 508 | 2 | no | — |
| 318 | C23 | — | 508 | 2 | no | — |
| 319 | C23 | — | 508 | 2 | no | — |
| 320 | C23 | — | 254 | 1 | no | — |
| 321 | Q8 | — | 2 | 1 | no | — |
| 322 | Q8 | — | 2 | 1 | no | — |
| 323 | Q8 | — | 2 | 1 | no | — |
| 324 | Q8 | — | 127 | 2 | no | — |
| 325 | Q8 | — | 508 | 2 | no | — |
| 326 | Q8 | — | 254 | 4 | no | — |
| 327 | Q8 | — | 254 | 1 | no | — |
| 328 | Q8 | — | 254 | 1 | no | — |
| 329 | Q8 | — | 254 | 1 | no | — |
| 330 | Q8 | D4×D127 | 1 | 2 | yes | — |
| 331 | D4 | — | 2 | 1 | no | — |
| 332 | D4 | — | 2 | 1 | no | — |
| 333 | D4 | — | 508 | 2 | no | — |
| 334 | D4 | — | 254 | 1 | no | — |
| 335 | D4 | — | 254 | 1 | no | — |
| 336 | C2×C4 | — | 2 | 1 | no | — |
| 337 | C2×C4 | — | 2 | 1 | no | — |
| 338 | C2×C4 | — | 2 | 1 | no | — |
| 339 | C2×C4 | — | 127 | 1 | no | — |
| 340 | C2×C4 | — | 127 | 2 | no | — |
| 341 | C2×C4 | — | 127 | 2 | no | — |
| 342 | C2×C4 | — | 127 | 1 | no | — |
| 343 | C2×C4 | — | 127 | 1 | no | — |
| 344 | C2×C4 | — | 508 | 2 | no | — |
| 345 | C2×C4 | — | 508 | 2 | no | — |
| 346 | C2×C4 | — | 254 | 2 | no | — |
| 347 | C2×C4 | — | 254 | 2 | no | — |
| 348 | C2×C4 | — | 254 | 4 | no | — |
| 349 | C2×C4 | — | 254 | 1 | no | — |
| 350 | C2×C4 | — | 254 | 1 | no | — |
| 351 | C2×C4 | — | 254 | 1 | no | — |
| 352 | C2×C4 | D4×D127 | 1 | 1 | yes | characteristic |
| 353 | C2×C4 | D4×D127 | 1 | 1 | yes | characteristic |
| 354 | C2×C4 | C23×D127 | 1 | 1 | yes | characteristic |
| 355 | C8 | — | 2 | 1 | no | — |
| 356 | C8 | — | 2 | 1 | no | — |
| 357 | C8 | — | 254 | 1 | no | — |
| 358 | C8 | — | 254 | 1 | no | — |
| 359 | C22 | — | 4 | 1 | no | — |
| 360 | C22 | — | 4 | 1 | no | — |
| 361 | C22 | — | 4 | 1 | no | — |
| 362 | C22 | — | 127 | 2 | no | — |
| 363 | C22 | — | 127 | 2 | no | — |
| 364 | C22 | — | 127 | 2 | no | — |
| 365 | C22 | — | 1016 | 4 | no | — |
| 366 | C22 | — | 508 | 1 | no | — |
| 367 | C22 | — | 508 | 1 | no | — |
| 368 | C22 | — | 508 | 1 | no | — |
| 369 | C22 | C2×D4×D127 | 1 | 1 | yes | characteristic |
| 370 | C4 | — | 2 | 2 | no | — |
| 371 | C4 | — | 2 | 1 | no | — |
| 372 | C4 | — | 2 | 1 | no | — |
| 373 | C4 | — | 4 | 1 | no | — |
| 374 | C4 | — | 4 | 1 | no | — |
| 375 | C4 | — | 127 | 2 | no | — |
| 376 | C4 | — | 508 | 1 | no | — |
| 377 | C4 | — | 508 | 1 | no | — |
| 378 | C4 | — | 254 | 2 | no | — |
| 379 | C4 | — | 254 | 1 | no | — |
| 380 | C4 | — | 254 | 1 | no | — |
| 381 | C4 | C2×D4×D127 | 1 | 1 | yes | characteristic |
| 382 | C4 | #41×D127 | 1 | 1 | yes | characteristic |
| 383 | C2 | — | 8 | 1 | no | — |
| 384 | C2 | — | 127 | 4 | no | — |
| 385 | C2 | — | 1016 | 1 | no | — |
| 386 | C2 | #121×D127 | 1 | 1 | yes | characteristic |
| 387 | C2 | #135×D127 | 1 | 1 | yes | characteristic |
| 388 | C2 | #137×D127 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta