| 1 | #90321 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #90205 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C7×#484 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #89820 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C2×#6383 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #89663 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #89657 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #89655 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #89644 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #89591 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #89583 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #89576 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #89572 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #89504 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | (C22⋊D7)⋊C8 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×#1161 | C22 | 1 | 1 | yes | characteristic |
| 17 | C22×D28 | C22 | 1 | 1 | yes | characteristic |
| 18 | C7×C22⋊Q8 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×C7×C4⋊C4 | C22 | 1 | 1 | yes | characteristic |
| 20 | #6510 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×#1143 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | #6493 | — | 2 | 1 | no | — |
| 23 | #6493 | C22 | 1 | 1 | yes | characteristic |
| 24 | C4×C22⋊D7 | — | 2 | 1 | no | — |
| 25 | C4×C22⋊D7 | C22 | 1 | 1 | yes | characteristic |
| 26 | C22×C7⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 27 | C2×D56 | C22 | 1 | 1 | yes | characteristic |
| 28 | C2×D56 | C22 | 1 | 1 | yes | characteristic |
| 29 | C2×C8×D7 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | #6461 | — | 2 | 1 | no | — |
| 31 | #6458 | — | 2 | 1 | no | — |
| 32 | #6458 | C22 | 1 | 1 | yes | characteristic |
| 33 | #6458 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | #6457 | — | 2 | 1 | no | — |
| 35 | #6457 | — | 2 | 1 | no | — |
| 36 | #6456 | C22 | 1 | 1 | yes | characteristic |
| 37 | #6456 | C22 | 1 | 1 | yes | characteristic, complemented |
| 38 | #6455 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | #6453 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | #6445 | — | 2 | 1 | no | — |
| 41 | D7×C22⋊C4 | — | 2 | 1 | no | — |
| 42 | C7×#107 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | C7×#107 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | C7×#103 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | C7×#103 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | C7×C22⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 47 | #6409 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | #6395 | C22 | 1 | 1 | yes | characteristic |
| 49 | #6395 | C22 | 1 | 1 | yes | characteristic |
| 50 | (C2×D7)⋊C8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | Dic7⋊C8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | C8×Dic7 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | #6383 | C22 | 1 | 1 | yes | characteristic |
| 54 | #6383 | C22 | 1 | 1 | yes | characteristic |
| 55 | #6383 | C22 | 1 | 1 | yes | characteristic |
| 56 | #6383 | C22 | 1 | 1 | yes | characteristic |
| 57 | #6383 | C22 | 1 | 1 | yes | characteristic, complemented |
| 58 | #6382 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | #3297 | — | 7 | 1 | no | maximal, Sylow |
| 60 | C23×D7 | — | 2 | 1 | no | — |
| 61 | C2×C7×Q8 | C23 | 1 | 1 | yes | characteristic |
| 62 | C22×C4×C7 | — | 2 | 1 | no | — |
| 63 | C22×C4×C7 | C23 | 1 | 1 | yes | characteristic |
| 64 | C2×C22⋊D7 | — | 2 | 1 | no | — |
| 65 | C2×C22⋊D7 | D4 | 1 | 1 | yes | characteristic |
| 66 | #1161 | — | 2 | 2 | no | — |
| 67 | #1161 | — | 4 | 1 | no | — |
| 68 | C2×D28 | — | 2 | 2 | no | — |
| 69 | C2×D28 | — | 2 | 1 | no | — |
| 70 | C2×D28 | — | 2 | 1 | no | — |
| 71 | C2×D28 | — | 2 | 1 | no | — |
| 72 | C2×D28 | — | 2 | 1 | no | — |
| 73 | C2×D28 | — | 4 | 1 | no | — |
| 74 | C2×D28 | C23 | 1 | 1 | yes | characteristic |
| 75 | C2×D28 | C23 | 1 | 1 | yes | characteristic |
| 76 | C2×D28 | C23 | 1 | 1 | yes | characteristic |
| 77 | C2×C4×D7 | — | 2 | 1 | no | — |
| 78 | C2×C4×D7 | — | 2 | 1 | no | — |
| 79 | C2×C4×D7 | — | 2 | 1 | no | — |
| 80 | C2×C4×D7 | C23 | 1 | 1 | yes | characteristic |
| 81 | C2×C7×C8 | C23 | 1 | 1 | yes | characteristic |
| 82 | C2×C7×C8 | C23 | 1 | 1 | yes | characteristic |
| 83 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 84 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 85 | C7×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 86 | C7×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 87 | C7×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 88 | C7×C22⋊C4 | — | 2 | 1 | no | — |
| 89 | C22⋊Dic7 | D4 | 1 | 1 | yes | characteristic |
| 90 | #1143 | — | 4 | 1 | no | — |
| 91 | (C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 92 | (C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 93 | (C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 94 | (C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 95 | (C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 96 | (C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 97 | (C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 98 | (C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 99 | (C2×D7)⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 100 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 101 | C4⋊Dic7 | C23 | 1 | 1 | yes | characteristic |
| 102 | Dic7⋊C4 | — | 2 | 1 | no | — |
| 103 | Dic7⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 104 | C4×Dic7 | — | 2 | 1 | no | — |
| 105 | C4×Dic7 | C23 | 1 | 1 | yes | characteristic |
| 106 | C2×C7⋊C8 | — | 4 | 1 | no | — |
| 107 | C2×C7⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 108 | C2×C7⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 109 | D56 | — | 2 | 2 | no | — |
| 110 | D56 | — | 4 | 1 | no | — |
| 111 | C8×D7 | — | 4 | 1 | no | — |
| 112 | #553 | — | 7 | 1 | no | — |
| 113 | #546 | — | 7 | 1 | no | — |
| 114 | #488 | — | 7 | 1 | no | — |
| 115 | #484 | D7 | 1 | 1 | yes | characteristic, complemented |
| 116 | #482 | — | 7 | 1 | no | — |
| 117 | #478 | — | 7 | 1 | no | — |
| 118 | #466 | — | 7 | 1 | no | — |
| 119 | #465 | — | 7 | 1 | no | — |
| 120 | #463 | — | 7 | 1 | no | — |
| 121 | #449 | — | 7 | 1 | no | — |
| 122 | #447 | — | 7 | 1 | no | — |
| 123 | C4×D8 | — | 7 | 1 | no | — |
| 124 | C8×D4 | — | 7 | 1 | no | — |
| 125 | #416 | — | 7 | 1 | no | — |
| 126 | C2×#102 | — | 7 | 1 | no | — |
| 127 | C23×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 128 | C22×D7 | — | 2 | 1 | no | — |
| 129 | C22×D7 | — | 2 | 1 | no | — |
| 130 | C22×D7 | — | 2 | 1 | no | — |
| 131 | C22×D7 | — | 4 | 2 | no | — |
| 132 | C22×D7 | — | 4 | 2 | no | — |
| 133 | C22×D7 | — | 8 | 1 | no | — |
| 134 | C22×D7 | C2×D4 | 1 | 1 | yes | characteristic |
| 135 | C7×Q8 | — | 2 | 1 | no | — |
| 136 | C7×Q8 | — | 2 | 1 | no | — |
| 137 | C2×C4×C7 | — | 2 | 1 | no | — |
| 138 | C2×C4×C7 | — | 2 | 1 | no | — |
| 139 | C2×C4×C7 | — | 2 | 1 | no | — |
| 140 | C2×C4×C7 | — | 2 | 1 | no | — |
| 141 | C2×C4×C7 | — | 2 | 1 | no | — |
| 142 | C2×C4×C7 | — | 2 | 1 | no | — |
| 143 | C2×C4×C7 | — | 8 | 1 | no | — |
| 144 | C2×C4×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 145 | C2×C4×C7 | C24 | 1 | 1 | yes | characteristic |
| 146 | C22⋊D7 | — | 2 | 2 | no | — |
| 147 | C22⋊D7 | — | 4 | 2 | no | — |
| 148 | C2×Dic7 | — | 2 | 1 | no | — |
| 149 | C2×Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 150 | C2×Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 151 | C2×Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 152 | D28 | — | 2 | 1 | no | — |
| 153 | D28 | — | 2 | 1 | no | — |
| 154 | D28 | — | 2 | 1 | no | — |
| 155 | D28 | — | 2 | 1 | no | — |
| 156 | D28 | — | 2 | 1 | no | — |
| 157 | D28 | — | 4 | 2 | no | — |
| 158 | D28 | — | 4 | 2 | no | — |
| 159 | D28 | — | 8 | 1 | no | — |
| 160 | D28 | — | 8 | 1 | no | — |
| 161 | D28 | #41 | 1 | 2 | yes | — |
| 162 | C4×D7 | — | 2 | 1 | no | — |
| 163 | C4×D7 | — | 2 | 1 | no | — |
| 164 | C4×D7 | — | 4 | 2 | no | — |
| 165 | C4×D7 | — | 8 | 1 | no | — |
| 166 | C4×D7 | — | 8 | 1 | no | — |
| 167 | C7×C8 | — | 2 | 1 | no | — |
| 168 | C7×C8 | — | 2 | 1 | no | — |
| 169 | C7⋊C8 | — | 2 | 1 | no | — |
| 170 | C7⋊C8 | — | 2 | 1 | no | — |
| 171 | C2×#41 | — | 7 | 1 | no | — |
| 172 | C22×D4 | — | 7 | 1 | no | — |
| 173 | C2×SD16 | — | 7 | 1 | no | — |
| 174 | C2×D8 | — | 7 | 1 | no | — |
| 175 | C2×D8 | — | 7 | 1 | no | — |
| 176 | C22×C8 | — | 7 | 1 | no | — |
| 177 | C22×C8 | — | 7 | 1 | no | — |
| 178 | #126 | — | 14 | 1 | no | — |
| 179 | #125 | — | 7 | 1 | no | — |
| 180 | #124 | — | 7 | 1 | no | — |
| 181 | #123 | — | 14 | 1 | no | — |
| 182 | #123 | — | 14 | 1 | no | — |
| 183 | C22⋊Q8 | C2×D7 | 1 | 1 | yes | characteristic |
| 184 | #121 | — | 7 | 1 | no | — |
| 185 | #121 | — | 7 | 1 | no | — |
| 186 | #121 | — | 7 | 1 | no | — |
| 187 | #121 | — | 14 | 1 | no | — |
| 188 | #121 | — | 14 | 1 | no | — |
| 189 | #120 | — | 14 | 1 | no | — |
| 190 | C4×D4 | — | 7 | 1 | no | — |
| 191 | C4×D4 | — | 7 | 1 | no | — |
| 192 | C4×D4 | — | 7 | 1 | no | — |
| 193 | C4×D4 | — | 14 | 1 | no | — |
| 194 | #117 | — | 7 | 1 | no | — |
| 195 | C2×C4⋊C4 | C2×D7 | 1 | 1 | yes | characteristic |
| 196 | C2×C22⋊C4 | — | 14 | 1 | no | — |
| 197 | #107 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 198 | #107 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 199 | #106 | — | 7 | 1 | no | — |
| 200 | C4⋊C8 | — | 7 | 1 | no | — |
| 201 | #103 | — | 7 | 1 | no | — |
| 202 | #103 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 203 | #103 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 204 | #102 | — | 7 | 1 | no | — |
| 205 | #102 | — | 7 | 1 | no | — |
| 206 | #102 | — | 7 | 1 | no | — |
| 207 | #102 | — | 7 | 1 | no | — |
| 208 | #102 | — | 7 | 1 | no | — |
| 209 | #102 | — | 7 | 1 | no | — |
| 210 | #102 | — | 7 | 1 | no | — |
| 211 | C22⋊C8 | — | 7 | 1 | no | — |
| 212 | C22⋊C8 | C2×D7 | 1 | 1 | yes | characteristic |
| 213 | C4×C8 | — | 7 | 1 | no | — |
| 214 | C22×C7 | — | 2 | 1 | no | — |
| 215 | C22×C7 | — | 2 | 1 | no | — |
| 216 | C22×C7 | #135 | 1 | 2 | yes | — |
| 217 | C22×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 218 | C2×D7 | — | 2 | 1 | no | — |
| 219 | C2×D7 | — | 2 | 2 | no | — |
| 220 | C2×D7 | — | 2 | 1 | no | — |
| 221 | C2×D7 | — | 2 | 1 | no | — |
| 222 | C2×D7 | — | 4 | 1 | no | — |
| 223 | C2×D7 | — | 4 | 1 | no | — |
| 224 | C2×D7 | — | 4 | 1 | no | — |
| 225 | C2×D7 | — | 4 | 1 | no | — |
| 226 | C2×D7 | — | 4 | 1 | no | — |
| 227 | C2×D7 | — | 4 | 1 | no | — |
| 228 | C2×D7 | — | 4 | 1 | no | — |
| 229 | C2×D7 | — | 4 | 1 | no | — |
| 230 | C2×D7 | — | 8 | 4 | no | — |
| 231 | C4×C7 | — | 2 | 1 | no | — |
| 232 | C4×C7 | — | 4 | 1 | no | — |
| 233 | C4×C7 | — | 4 | 1 | no | — |
| 234 | C4×C7 | — | 4 | 1 | no | — |
| 235 | C4×C7 | — | 4 | 1 | no | — |
| 236 | C4×C7 | C2×#41 | 1 | 1 | yes | characteristic |
| 237 | C4×C7 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 238 | Dic7 | — | 2 | 1 | no | — |
| 239 | Dic7 | — | 2 | 1 | no | — |
| 240 | Dic7 | — | 2 | 1 | no | — |
| 241 | Dic7 | — | 4 | 1 | no | — |
| 242 | C24 | — | 14 | 1 | no | — |
| 243 | #41 | — | 14 | 2 | no | — |
| 244 | #41 | — | 28 | 1 | no | — |
| 245 | C2×Q8 | C22×D7 | 1 | 1 | yes | characteristic |
| 246 | C2×D4 | — | 7 | 1 | no | — |
| 247 | C2×D4 | — | 7 | 1 | no | — |
| 248 | C2×D4 | — | 7 | 1 | no | — |
| 249 | C2×D4 | — | 7 | 1 | no | — |
| 250 | C2×D4 | — | 14 | 2 | no | — |
| 251 | C2×D4 | — | 14 | 1 | no | — |
| 252 | C2×D4 | — | 14 | 1 | no | — |
| 253 | C2×D4 | — | 14 | 1 | no | — |
| 254 | C2×D4 | — | 14 | 1 | no | — |
| 255 | C2×D4 | — | 14 | 1 | no | — |
| 256 | C2×D4 | — | 28 | 1 | no | — |
| 257 | C22×C4 | — | 2 | 1 | no | — |
| 258 | C22×C4 | — | 7 | 1 | no | — |
| 259 | C22×C4 | — | 14 | 1 | no | — |
| 260 | C22×C4 | — | 14 | 1 | no | — |
| 261 | C22×C4 | — | 14 | 1 | no | — |
| 262 | C22×C4 | C22×D7 | 1 | 1 | yes | characteristic |
| 263 | SD16 | — | 28 | 1 | no | — |
| 264 | D8 | — | 14 | 2 | no | — |
| 265 | D8 | — | 28 | 1 | no | — |
| 266 | C2×C8 | — | 7 | 1 | no | — |
| 267 | C2×C8 | — | 7 | 1 | no | — |
| 268 | C2×C8 | — | 28 | 1 | no | — |
| 269 | C2×C8 | — | 28 | 1 | no | — |
| 270 | C2×C8 | C22×D7 | 1 | 1 | yes | characteristic |
| 271 | C2×C8 | C22×D7 | 1 | 1 | yes | characteristic |
| 272 | C4⋊C4 | — | 2 | 1 | no | — |
| 273 | C4⋊C4 | — | 2 | 1 | no | — |
| 274 | C4⋊C4 | — | 7 | 1 | no | — |
| 275 | C4⋊C4 | — | 7 | 1 | no | — |
| 276 | C4⋊C4 | — | 14 | 1 | no | — |
| 277 | C4⋊C4 | — | 14 | 1 | no | — |
| 278 | C4⋊C4 | C22×D7 | 1 | 1 | yes | characteristic |
| 279 | C4⋊C4 | C22×D7 | 1 | 1 | yes | characteristic |
| 280 | C4⋊C4 | C22×D7 | 1 | 1 | yes | characteristic |
| 281 | C22⋊C4 | — | 2 | 1 | no | — |
| 282 | C22⋊C4 | — | 7 | 1 | no | — |
| 283 | C22⋊C4 | — | 7 | 1 | no | — |
| 284 | C22⋊C4 | — | 14 | 1 | no | — |
| 285 | C22⋊C4 | — | 14 | 1 | no | — |
| 286 | C22⋊C4 | — | 14 | 1 | no | — |
| 287 | C22⋊C4 | — | 14 | 1 | no | — |
| 288 | C22⋊C4 | — | 14 | 1 | no | — |
| 289 | C22⋊C4 | — | 14 | 1 | no | — |
| 290 | C22⋊C4 | — | 14 | 1 | no | — |
| 291 | C22⋊C4 | — | 14 | 1 | no | — |
| 292 | C42 | — | 7 | 1 | no | — |
| 293 | C42 | — | 14 | 1 | no | — |
| 294 | C2×C7 | — | 2 | 2 | no | — |
| 295 | C2×C7 | #546 | 1 | 1 | yes | characteristic |
| 296 | C2×C7 | C2×#135 | 1 | 1 | yes | characteristic |
| 297 | C2×C7 | #576 | 1 | 1 | yes | characteristic |
| 298 | D7 | — | 4 | 1 | no | — |
| 299 | D7 | — | 4 | 2 | no | — |
| 300 | D7 | — | 8 | 1 | no | — |
| 301 | D7 | — | 8 | 1 | no | — |
| 302 | C23 | — | 7 | 1 | no | — |
| 303 | C23 | — | 14 | 1 | no | — |
| 304 | C23 | — | 14 | 1 | no | — |
| 305 | C23 | — | 14 | 1 | no | — |
| 306 | C23 | — | 28 | 2 | no | — |
| 307 | C23 | — | 28 | 2 | no | — |
| 308 | C23 | — | 56 | 1 | no | — |
| 309 | C23 | D4×D7 | 1 | 1 | yes | characteristic |
| 310 | Q8 | — | 2 | 1 | no | — |
| 311 | Q8 | — | 2 | 1 | no | — |
| 312 | D4 | — | 7 | 2 | no | — |
| 313 | D4 | — | 14 | 2 | no | — |
| 314 | D4 | — | 14 | 1 | no | — |
| 315 | D4 | — | 14 | 1 | no | — |
| 316 | D4 | — | 14 | 1 | no | — |
| 317 | D4 | — | 14 | 1 | no | — |
| 318 | D4 | — | 14 | 1 | no | — |
| 319 | D4 | — | 28 | 2 | no | — |
| 320 | D4 | — | 28 | 2 | no | — |
| 321 | D4 | — | 28 | 2 | no | — |
| 322 | D4 | — | 56 | 1 | no | — |
| 323 | D4 | — | 56 | 1 | no | — |
| 324 | C2×C4 | — | 2 | 1 | no | — |
| 325 | C2×C4 | — | 2 | 1 | no | — |
| 326 | C2×C4 | — | 2 | 1 | no | — |
| 327 | C2×C4 | — | 2 | 1 | no | — |
| 328 | C2×C4 | — | 2 | 1 | no | — |
| 329 | C2×C4 | — | 2 | 1 | no | — |
| 330 | C2×C4 | — | 7 | 1 | no | — |
| 331 | C2×C4 | — | 7 | 1 | no | — |
| 332 | C2×C4 | — | 7 | 1 | no | — |
| 333 | C2×C4 | — | 8 | 1 | no | — |
| 334 | C2×C4 | — | 14 | 1 | no | — |
| 335 | C2×C4 | — | 14 | 1 | no | — |
| 336 | C2×C4 | — | 14 | 1 | no | — |
| 337 | C2×C4 | — | 28 | 2 | no | — |
| 338 | C2×C4 | — | 56 | 1 | no | — |
| 339 | C2×C4 | — | 56 | 1 | no | — |
| 340 | C2×C4 | D4×D7 | 1 | 1 | yes | characteristic |
| 341 | C2×C4 | C23×D7 | 1 | 1 | yes | characteristic |
| 342 | C8 | — | 2 | 1 | no | — |
| 343 | C8 | — | 2 | 1 | no | — |
| 344 | C8 | — | 14 | 1 | no | — |
| 345 | C8 | — | 14 | 1 | no | — |
| 346 | C7 | #3297 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 347 | C22 | — | 2 | 1 | no | — |
| 348 | C22 | — | 2 | 1 | no | — |
| 349 | C22 | — | 14 | 1 | no | — |
| 350 | C22 | — | 14 | 1 | no | — |
| 351 | C22 | — | 14 | 1 | no | — |
| 352 | C22 | — | 14 | 2 | no | — |
| 353 | C22 | — | 28 | 1 | no | — |
| 354 | C22 | — | 28 | 1 | no | — |
| 355 | C22 | — | 28 | 1 | no | — |
| 356 | C22 | — | 28 | 1 | no | — |
| 357 | C22 | — | 28 | 1 | no | — |
| 358 | C22 | — | 28 | 1 | no | — |
| 359 | C22 | — | 28 | 1 | no | — |
| 360 | C22 | — | 28 | 1 | no | — |
| 361 | C22 | — | 56 | 4 | no | — |
| 362 | C22 | #6482 | 1 | 2 | yes | — |
| 363 | C22 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 364 | C4 | — | 2 | 1 | no | — |
| 365 | C4 | — | 4 | 1 | no | — |
| 366 | C4 | — | 4 | 1 | no | — |
| 367 | C4 | — | 4 | 1 | no | — |
| 368 | C4 | — | 4 | 1 | no | — |
| 369 | C4 | — | 14 | 1 | no | — |
| 370 | C4 | — | 14 | 1 | no | — |
| 371 | C4 | — | 14 | 1 | no | — |
| 372 | C4 | — | 28 | 1 | no | — |
| 373 | C4 | D7×#41 | 1 | 1 | yes | characteristic |
| 374 | C4 | #6553 | 1 | 1 | yes | characteristic |
| 375 | C2 | — | 2 | 2 | no | — |
| 376 | C2 | — | 28 | 1 | no | — |
| 377 | C2 | — | 28 | 2 | no | — |
| 378 | C2 | — | 56 | 1 | no | — |
| 379 | C2 | — | 56 | 1 | no | — |
| 380 | C2 | #90345 | 1 | 1 | yes | characteristic |
| 381 | C2 | C2×#6482 | 1 | 1 | yes | characteristic |
| 382 | C2 | #90465 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta