| 1 | C2×#89615 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | M16×D28 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11728528 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11728516 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11727630 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C7×#1283 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11725511 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C2×D7×M16 | — | 2 | 1 | no | — |
| 9 | C22×D56 | C4 | 1 | 2 | yes | — |
| 10 | C2×#6437 | C22 | 1 | 1 | yes | characteristic |
| 11 | C2×C4×D28 | C22 | 1 | 1 | yes | characteristic |
| 12 | C7×#431 | C22 | 1 | 1 | yes | characteristic |
| 13 | C2×C7×C4⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 14 | C4×C7×M16 | C22 | 1 | 1 | yes | characteristic |
| 15 | C2×#6397 | — | 2 | 1 | no | — |
| 16 | C2×#6397 | — | 2 | 1 | no | — |
| 17 | #89898 | — | 2 | 1 | no | — |
| 18 | C2×#6395 | C4 | 1 | 2 | yes | — |
| 19 | #89696 | C22 | 1 | 1 | yes | characteristic |
| 20 | #89696 | C22 | 1 | 1 | yes | characteristic |
| 21 | #89615 | — | 2 | 1 | no | — |
| 22 | #89615 | — | 2 | 1 | no | — |
| 23 | #89615 | — | 2 | 1 | no | — |
| 24 | #89615 | — | 2 | 1 | no | — |
| 25 | #89478 | — | 2 | 2 | no | — |
| 26 | #89460 | — | 2 | 1 | no | — |
| 27 | C8×D28 | — | 2 | 1 | no | — |
| 28 | #89280 | — | 2 | 2 | no | — |
| 29 | #89254 | — | 2 | 1 | no | — |
| 30 | #89254 | — | 2 | 1 | no | — |
| 31 | #9253 | — | 7 | 1 | no | maximal, Sylow |
| 32 | C22×D28 | — | 2 | 1 | no | — |
| 33 | C22×D28 | — | 2 | 1 | no | — |
| 34 | C22×D28 | C2×C4 | 1 | 1 | yes | characteristic |
| 35 | C22×D28 | C2×C4 | 1 | 2 | yes | — |
| 36 | C22×C4×D7 | — | 2 | 1 | no | — |
| 37 | C2×C7×M16 | D4 | 1 | 1 | yes | characteristic |
| 38 | C2×C7×M16 | D4 | 1 | 1 | yes | characteristic |
| 39 | C22×C7×C8 | C2×C4 | 1 | 2 | yes | — |
| 40 | C2×C42×C7 | C23 | 1 | 1 | yes | characteristic |
| 41 | C2×(C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 42 | C2×C4⋊Dic7 | C2×C4 | 1 | 1 | yes | characteristic |
| 43 | C2×#1136 | — | 2 | 1 | no | — |
| 44 | C2×#1136 | — | 2 | 1 | no | — |
| 45 | D7×M16 | — | 4 | 2 | no | — |
| 46 | D7×M16 | — | 4 | 2 | no | — |
| 47 | C2×D56 | — | 2 | 2 | no | — |
| 48 | C2×D56 | — | 2 | 2 | no | — |
| 49 | C2×D56 | — | 4 | 4 | no | — |
| 50 | C2×#1131 | — | 2 | 2 | no | — |
| 51 | C2×C8×D7 | — | 2 | 2 | no | — |
| 52 | #6437 | — | 2 | 1 | no | — |
| 53 | #6437 | — | 2 | 1 | no | — |
| 54 | #6437 | — | 2 | 1 | no | — |
| 55 | #6437 | — | 2 | 1 | no | — |
| 56 | C4×D28 | — | 2 | 1 | no | — |
| 57 | C4×D28 | — | 2 | 1 | no | — |
| 58 | C4×D28 | D4 | 1 | 1 | yes | characteristic |
| 59 | C4×D28 | D4 | 1 | 1 | yes | characteristic |
| 60 | C4×D28 | D4 | 1 | 1 | yes | characteristic |
| 61 | C4×D28 | D4 | 1 | 1 | yes | characteristic |
| 62 | C7×C4⋊C8 | — | 2 | 1 | no | — |
| 63 | C7×C4⋊C8 | — | 2 | 1 | no | — |
| 64 | C7×C4⋊C8 | — | 2 | 1 | no | — |
| 65 | C7×C22⋊C8 | — | 2 | 1 | no | — |
| 66 | C7×#97 | — | 2 | 1 | no | — |
| 67 | C4×C7×C8 | — | 2 | 1 | no | — |
| 68 | C4×C7×C8 | — | 2 | 1 | no | — |
| 69 | #6397 | — | 4 | 2 | no | — |
| 70 | #6397 | — | 4 | 2 | no | — |
| 71 | #6395 | — | 2 | 2 | no | — |
| 72 | #6395 | — | 2 | 2 | no | — |
| 73 | (C2×D7)⋊C8 | — | 2 | 2 | no | — |
| 74 | (C2×D7)⋊C8 | — | 2 | 2 | no | — |
| 75 | C4⋊(C7⋊C8) | — | 2 | 1 | no | — |
| 76 | C4⋊(C7⋊C8) | — | 2 | 1 | no | — |
| 77 | C4⋊(C7⋊C8) | — | 2 | 1 | no | — |
| 78 | C4⋊(C7⋊C8) | D4 | 1 | 2 | yes | — |
| 79 | C2×#459 | — | 7 | 1 | no | — |
| 80 | D4×M16 | — | 7 | 1 | no | — |
| 81 | #1965 | — | 7 | 1 | no | — |
| 82 | #1545 | — | 7 | 1 | no | — |
| 83 | #1486 | — | 7 | 1 | no | — |
| 84 | #1292 | — | 7 | 1 | no | — |
| 85 | #1283 | D7 | 1 | 1 | yes | characteristic, complemented |
| 86 | C23×D7 | — | 2 | 1 | no | — |
| 87 | C23×D7 | — | 2 | 2 | no | — |
| 88 | C22×C4×C7 | C22×C4 | 1 | 1 | yes | characteristic |
| 89 | C22×C4×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 90 | C22×C4×C7 | #41 | 1 | 1 | yes | characteristic |
| 91 | C22×Dic7 | — | 2 | 1 | no | — |
| 92 | C2×D28 | — | 2 | 2 | no | — |
| 93 | C2×D28 | — | 2 | 2 | no | — |
| 94 | C2×D28 | — | 2 | 1 | no | — |
| 95 | C2×D28 | — | 2 | 2 | no | — |
| 96 | C2×D28 | — | 4 | 1 | no | — |
| 97 | C2×D28 | — | 4 | 2 | no | — |
| 98 | C2×D28 | — | 4 | 2 | no | — |
| 99 | C2×D28 | — | 4 | 1 | no | — |
| 100 | C2×D28 | — | 4 | 1 | no | — |
| 101 | C2×D28 | — | 4 | 1 | no | — |
| 102 | C2×D28 | — | 4 | 1 | no | — |
| 103 | C2×D28 | — | 4 | 1 | no | — |
| 104 | C2×D28 | — | 4 | 1 | no | — |
| 105 | C2×D28 | — | 4 | 1 | no | — |
| 106 | C2×D28 | — | 4 | 1 | no | — |
| 107 | C2×D28 | — | 8 | 2 | no | — |
| 108 | C2×D28 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 109 | C2×D28 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 110 | C2×C4×D7 | — | 2 | 1 | no | — |
| 111 | C2×C4×D7 | — | 2 | 1 | no | — |
| 112 | C2×C4×D7 | — | 2 | 1 | no | — |
| 113 | C2×C4×D7 | — | 2 | 1 | no | — |
| 114 | C2×C4×D7 | — | 4 | 1 | no | — |
| 115 | C2×C4×D7 | — | 4 | 1 | no | — |
| 116 | C2×C4×D7 | — | 4 | 1 | no | — |
| 117 | C2×C4×D7 | — | 4 | 1 | no | — |
| 118 | C7×M16 | — | 2 | 1 | no | — |
| 119 | C7×M16 | — | 2 | 1 | no | — |
| 120 | C7×M16 | — | 2 | 1 | no | — |
| 121 | C7×M16 | D8 | 1 | 2 | yes | complemented |
| 122 | C2×C7×C8 | — | 2 | 1 | no | — |
| 123 | C2×C7×C8 | — | 2 | 2 | no | — |
| 124 | C2×C7×C8 | — | 2 | 1 | no | — |
| 125 | C2×C7×C8 | — | 4 | 2 | no | — |
| 126 | C2×C7×C8 | — | 4 | 1 | no | — |
| 127 | C42×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 128 | C42×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 129 | C42×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 130 | C42×C7 | #41 | 1 | 1 | yes | characteristic |
| 131 | (C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 132 | (C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 133 | (C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 134 | (C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 135 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 136 | C4⋊Dic7 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 137 | C4⋊Dic7 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 138 | #1136 | — | 4 | 1 | no | — |
| 139 | #1136 | — | 4 | 1 | no | — |
| 140 | #1136 | — | 4 | 1 | no | — |
| 141 | #1136 | — | 4 | 1 | no | — |
| 142 | C2×C7⋊C8 | — | 2 | 2 | no | — |
| 143 | C2×C7⋊C8 | — | 4 | 1 | no | — |
| 144 | D56 | — | 4 | 4 | no | — |
| 145 | D56 | — | 4 | 4 | no | — |
| 146 | #1131 | — | 4 | 4 | no | — |
| 147 | C8×D7 | — | 4 | 4 | no | — |
| 148 | C22×D8 | — | 7 | 2 | no | — |
| 149 | C22×M16 | — | 14 | 1 | no | — |
| 150 | C2×#127 | — | 7 | 1 | no | — |
| 151 | C2×C4×D4 | — | 7 | 1 | no | — |
| 152 | #459 | — | 14 | 1 | no | — |
| 153 | #459 | — | 14 | 1 | no | — |
| 154 | #459 | — | 14 | 1 | no | — |
| 155 | #459 | — | 14 | 1 | no | — |
| 156 | #436 | — | 14 | 1 | no | — |
| 157 | #435 | — | 14 | 2 | no | — |
| 158 | C8×D4 | — | 14 | 1 | no | — |
| 159 | #431 | C2×D7 | 1 | 1 | yes | characteristic |
| 160 | #423 | — | 7 | 1 | no | — |
| 161 | #423 | — | 7 | 1 | no | — |
| 162 | C2×C4⋊C8 | C2×D7 | 1 | 1 | yes | characteristic |
| 163 | C2×#102 | — | 7 | 2 | no | — |
| 164 | C2×#100 | — | 14 | 1 | no | — |
| 165 | C2×#100 | — | 14 | 1 | no | — |
| 166 | #407 | — | 14 | 1 | no | — |
| 167 | C4×M16 | C2×D7 | 1 | 1 | yes | characteristic |
| 168 | #331 | — | 14 | 2 | no | — |
| 169 | D4⋊C8 | — | 14 | 1 | no | — |
| 170 | D4⋊C8 | — | 14 | 1 | no | — |
| 171 | C23×C7 | C4×D4 | 1 | 1 | yes | characteristic |
| 172 | C22×D7 | — | 2 | 1 | no | — |
| 173 | C22×D7 | — | 2 | 1 | no | — |
| 174 | C22×D7 | — | 4 | 2 | no | — |
| 175 | C22×D7 | — | 4 | 1 | no | — |
| 176 | C22×D7 | — | 4 | 1 | no | — |
| 177 | C22×D7 | — | 4 | 2 | no | — |
| 178 | C22×D7 | — | 4 | 2 | no | — |
| 179 | C22×D7 | — | 4 | 2 | no | — |
| 180 | C22×D7 | — | 8 | 1 | no | — |
| 181 | C22×D7 | — | 8 | 2 | no | — |
| 182 | C22×D7 | — | 8 | 2 | no | — |
| 183 | C2×C4×C7 | — | 2 | 1 | no | — |
| 184 | C2×C4×C7 | — | 2 | 1 | no | — |
| 185 | C2×C4×C7 | — | 4 | 1 | no | — |
| 186 | C2×C4×C7 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 187 | C2×C4×C7 | C4×D4 | 1 | 1 | yes | characteristic |
| 188 | C2×C4×C7 | #120 | 1 | 1 | yes | characteristic |
| 189 | C2×C4×C7 | #121 | 1 | 1 | yes | characteristic |
| 190 | C2×C4×C7 | #121 | 1 | 1 | yes | characteristic |
| 191 | C2×C4×C7 | #123 | 1 | 1 | yes | characteristic |
| 192 | C2×C4×C7 | C2×D8 | 1 | 1 | yes | characteristic |
| 193 | C2×C4×C7 | #135 | 1 | 1 | yes | characteristic |
| 194 | C2×C4×C7 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 195 | C2×C4×C7 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 196 | C2×Dic7 | — | 2 | 1 | no | — |
| 197 | C2×Dic7 | — | 2 | 1 | no | — |
| 198 | C2×Dic7 | — | 4 | 1 | no | — |
| 199 | C2×Dic7 | — | 4 | 1 | no | — |
| 200 | D28 | — | 2 | 1 | no | — |
| 201 | D28 | — | 2 | 1 | no | — |
| 202 | D28 | — | 2 | 1 | no | — |
| 203 | D28 | — | 4 | 2 | no | — |
| 204 | D28 | — | 4 | 2 | no | — |
| 205 | D28 | — | 4 | 2 | no | — |
| 206 | D28 | — | 8 | 2 | no | — |
| 207 | D28 | — | 8 | 2 | no | — |
| 208 | D28 | — | 8 | 2 | no | — |
| 209 | D28 | — | 8 | 1 | no | — |
| 210 | D28 | — | 8 | 1 | no | — |
| 211 | D28 | — | 8 | 1 | no | — |
| 212 | D28 | — | 8 | 1 | no | — |
| 213 | D28 | #100 | 1 | 2 | yes | complemented |
| 214 | C4×D7 | — | 4 | 1 | no | — |
| 215 | C4×D7 | — | 4 | 1 | no | — |
| 216 | C4×D7 | — | 4 | 1 | no | — |
| 217 | C4×D7 | — | 4 | 1 | no | — |
| 218 | C4×D7 | — | 4 | 1 | no | — |
| 219 | C4×D7 | — | 4 | 1 | no | — |
| 220 | C4×D7 | — | 4 | 1 | no | — |
| 221 | C4×D7 | — | 4 | 1 | no | — |
| 222 | C7×C8 | — | 2 | 2 | no | — |
| 223 | C7×C8 | — | 4 | 2 | no | — |
| 224 | C7×C8 | — | 4 | 1 | no | — |
| 225 | C7×C8 | — | 8 | 1 | no | — |
| 226 | C7⋊C8 | — | 4 | 2 | no | — |
| 227 | C7⋊C8 | — | 8 | 1 | no | — |
| 228 | C22×D4 | — | 7 | 1 | no | — |
| 229 | C22×D4 | — | 7 | 2 | no | — |
| 230 | C22×D4 | — | 14 | 1 | no | — |
| 231 | C22×D4 | — | 14 | 1 | no | — |
| 232 | C23×C4 | — | 14 | 1 | no | — |
| 233 | C2×D8 | — | 14 | 2 | no | — |
| 234 | C2×D8 | — | 14 | 2 | no | — |
| 235 | C2×D8 | — | 28 | 4 | no | — |
| 236 | C2×M16 | — | 14 | 2 | no | — |
| 237 | C2×M16 | — | 14 | 1 | no | — |
| 238 | C2×M16 | — | 14 | 1 | no | — |
| 239 | C2×M16 | — | 28 | 2 | no | — |
| 240 | C2×M16 | — | 28 | 2 | no | — |
| 241 | C2×M16 | D28 | 1 | 1 | yes | characteristic |
| 242 | C2×M16 | D28 | 1 | 1 | yes | characteristic |
| 243 | C22×C8 | — | 14 | 2 | no | — |
| 244 | C22×C8 | C4×D7 | 1 | 2 | yes | — |
| 245 | #127 | — | 14 | 1 | no | — |
| 246 | #127 | — | 14 | 1 | no | — |
| 247 | #127 | — | 14 | 1 | no | — |
| 248 | #127 | — | 14 | 1 | no | — |
| 249 | C4×D4 | — | 7 | 1 | no | — |
| 250 | C4×D4 | — | 7 | 1 | no | — |
| 251 | C4×D4 | — | 7 | 1 | no | — |
| 252 | C4×D4 | — | 7 | 1 | no | — |
| 253 | C4×D4 | — | 14 | 1 | no | — |
| 254 | C4×D4 | — | 14 | 1 | no | — |
| 255 | C2×C4⋊C4 | — | 7 | 1 | no | — |
| 256 | C2×C22⋊C4 | — | 14 | 1 | no | — |
| 257 | C2×C42 | C22×D7 | 1 | 1 | yes | characteristic |
| 258 | C4⋊C8 | — | 2 | 1 | no | — |
| 259 | C4⋊C8 | — | 2 | 1 | no | — |
| 260 | C4⋊C8 | — | 2 | 1 | no | — |
| 261 | C4⋊C8 | — | 7 | 2 | no | — |
| 262 | C4⋊C8 | — | 14 | 1 | no | — |
| 263 | C4⋊C8 | — | 14 | 1 | no | — |
| 264 | C4⋊C8 | — | 14 | 1 | no | — |
| 265 | #102 | — | 14 | 2 | no | — |
| 266 | #102 | — | 14 | 2 | no | — |
| 267 | #100 | — | 28 | 2 | no | — |
| 268 | #100 | — | 28 | 2 | no | — |
| 269 | C22⋊C8 | — | 2 | 1 | no | — |
| 270 | C22⋊C8 | — | 14 | 2 | no | — |
| 271 | C22⋊C8 | — | 14 | 2 | no | — |
| 272 | #97 | — | 2 | 1 | no | — |
| 273 | C4×C8 | — | 2 | 1 | no | — |
| 274 | C4×C8 | — | 2 | 1 | no | — |
| 275 | C22×C7 | — | 2 | 1 | no | — |
| 276 | C22×C7 | — | 2 | 1 | no | — |
| 277 | C22×C7 | #386 | 1 | 1 | yes | characteristic |
| 278 | C22×C7 | C4×D8 | 1 | 1 | yes | characteristic |
| 279 | C22×C7 | #442 | 1 | 1 | yes | characteristic |
| 280 | C2×D7 | — | 2 | 2 | no | — |
| 281 | C2×D7 | — | 4 | 1 | no | — |
| 282 | C2×D7 | — | 4 | 1 | no | — |
| 283 | C2×D7 | — | 4 | 1 | no | — |
| 284 | C2×D7 | — | 4 | 1 | no | — |
| 285 | C2×D7 | — | 4 | 1 | no | — |
| 286 | C2×D7 | — | 8 | 2 | no | — |
| 287 | C2×D7 | — | 8 | 2 | no | — |
| 288 | C2×D7 | — | 8 | 2 | no | — |
| 289 | C2×D7 | — | 8 | 2 | no | — |
| 290 | C2×D7 | — | 8 | 2 | no | — |
| 291 | C2×D7 | — | 16 | 2 | no | — |
| 292 | C2×D7 | — | 16 | 2 | no | — |
| 293 | C4×C7 | — | 2 | 1 | no | — |
| 294 | C4×C7 | — | 2 | 1 | no | — |
| 295 | C4×C7 | — | 2 | 1 | no | — |
| 296 | C4×C7 | C2×#100 | 1 | 1 | yes | characteristic |
| 297 | C4×C7 | #413 | 1 | 1 | yes | characteristic |
| 298 | C4×C7 | #447 | 1 | 1 | yes | characteristic |
| 299 | C4×C7 | #449 | 1 | 1 | yes | characteristic |
| 300 | C4×C7 | #459 | 1 | 1 | yes | characteristic |
| 301 | C4×C7 | #463 | 1 | 1 | yes | characteristic |
| 302 | Dic7 | — | 4 | 1 | no | — |
| 303 | Dic7 | — | 4 | 1 | no | — |
| 304 | C24 | — | 14 | 1 | no | — |
| 305 | C24 | — | 14 | 2 | no | — |
| 306 | C2×D4 | — | 7 | 1 | no | — |
| 307 | C2×D4 | — | 7 | 1 | no | — |
| 308 | C2×D4 | — | 14 | 2 | no | — |
| 309 | C2×D4 | — | 14 | 2 | no | — |
| 310 | C2×D4 | — | 14 | 1 | no | — |
| 311 | C2×D4 | — | 14 | 2 | no | — |
| 312 | C2×D4 | — | 28 | 1 | no | — |
| 313 | C2×D4 | — | 28 | 2 | no | — |
| 314 | C2×D4 | — | 28 | 2 | no | — |
| 315 | C2×D4 | — | 28 | 1 | no | — |
| 316 | C2×D4 | — | 28 | 1 | no | — |
| 317 | C2×D4 | — | 28 | 1 | no | — |
| 318 | C2×D4 | — | 28 | 1 | no | — |
| 319 | C2×D4 | — | 28 | 1 | no | — |
| 320 | C2×D4 | — | 28 | 1 | no | — |
| 321 | C2×D4 | — | 28 | 1 | no | — |
| 322 | C2×D4 | — | 28 | 1 | no | — |
| 323 | C2×D4 | — | 56 | 2 | no | — |
| 324 | C22×C4 | — | 14 | 1 | no | — |
| 325 | C22×C4 | — | 14 | 1 | no | — |
| 326 | C22×C4 | — | 14 | 1 | no | — |
| 327 | C22×C4 | — | 14 | 1 | no | — |
| 328 | C22×C4 | — | 14 | 1 | no | — |
| 329 | C22×C4 | — | 28 | 1 | no | — |
| 330 | C22×C4 | — | 28 | 1 | no | — |
| 331 | C22×C4 | — | 28 | 1 | no | — |
| 332 | C22×C4 | — | 28 | 1 | no | — |
| 333 | C22×C4 | C2×C4×D7 | 1 | 1 | yes | characteristic |
| 334 | C22×C4 | C2×D28 | 1 | 1 | yes | characteristic |
| 335 | C22×C4 | #1157 | 1 | 1 | yes | characteristic |
| 336 | D8 | — | 28 | 4 | no | — |
| 337 | D8 | — | 28 | 4 | no | — |
| 338 | M16 | — | 2 | 1 | no | — |
| 339 | M16 | — | 2 | 1 | no | — |
| 340 | M16 | — | 2 | 1 | no | — |
| 341 | M16 | — | 28 | 4 | no | — |
| 342 | M16 | — | 28 | 1 | no | — |
| 343 | M16 | — | 28 | 1 | no | — |
| 344 | M16 | — | 28 | 1 | no | — |
| 345 | M16 | — | 28 | 1 | no | — |
| 346 | M16 | D56 | 1 | 2 | yes | complemented |
| 347 | C2×C8 | — | 2 | 1 | no | — |
| 348 | C2×C8 | — | 2 | 2 | no | — |
| 349 | C2×C8 | — | 2 | 1 | no | — |
| 350 | C2×C8 | — | 4 | 2 | no | — |
| 351 | C2×C8 | — | 4 | 1 | no | — |
| 352 | C2×C8 | — | 14 | 2 | no | — |
| 353 | C2×C8 | — | 28 | 4 | no | — |
| 354 | C2×C8 | — | 28 | 1 | no | — |
| 355 | C4⋊C4 | — | 7 | 1 | no | — |
| 356 | C4⋊C4 | — | 7 | 1 | no | — |
| 357 | C4⋊C4 | — | 14 | 1 | no | — |
| 358 | C22⋊C4 | — | 14 | 1 | no | — |
| 359 | C22⋊C4 | — | 14 | 1 | no | — |
| 360 | C22⋊C4 | — | 14 | 1 | no | — |
| 361 | C22⋊C4 | — | 14 | 1 | no | — |
| 362 | C42 | D4×D7 | 1 | 1 | yes | characteristic |
| 363 | C42 | D4×D7 | 1 | 1 | yes | characteristic |
| 364 | C42 | D4×D7 | 1 | 1 | yes | characteristic |
| 365 | C42 | #1161 | 1 | 1 | yes | characteristic |
| 366 | C2×C7 | — | 2 | 1 | no | — |
| 367 | C2×C7 | — | 2 | 1 | no | — |
| 368 | C2×C7 | #1879 | 1 | 1 | yes | characteristic |
| 369 | C2×C7 | #1900 | 1 | 1 | yes | characteristic |
| 370 | C2×C7 | #1903 | 1 | 1 | yes | characteristic |
| 371 | D7 | — | 4 | 2 | no | — |
| 372 | D7 | — | 8 | 1 | no | — |
| 373 | D7 | — | 16 | 2 | no | — |
| 374 | C23 | — | 14 | 1 | no | — |
| 375 | C23 | — | 14 | 1 | no | — |
| 376 | C23 | — | 28 | 2 | no | — |
| 377 | C23 | — | 28 | 1 | no | — |
| 378 | C23 | — | 28 | 1 | no | — |
| 379 | C23 | — | 28 | 2 | no | — |
| 380 | C23 | — | 28 | 2 | no | — |
| 381 | C23 | — | 28 | 2 | no | — |
| 382 | C23 | — | 56 | 1 | no | — |
| 383 | C23 | — | 56 | 2 | no | — |
| 384 | C23 | — | 56 | 2 | no | — |
| 385 | C23 | C4×D28 | 1 | 1 | yes | characteristic |
| 386 | D4 | — | 7 | 2 | no | — |
| 387 | D4 | — | 14 | 1 | no | — |
| 388 | D4 | — | 14 | 1 | no | — |
| 389 | D4 | — | 14 | 1 | no | — |
| 390 | D4 | — | 28 | 2 | no | — |
| 391 | D4 | — | 28 | 2 | no | — |
| 392 | D4 | — | 28 | 2 | no | — |
| 393 | D4 | — | 56 | 2 | no | — |
| 394 | D4 | — | 56 | 2 | no | — |
| 395 | D4 | — | 56 | 2 | no | — |
| 396 | D4 | — | 56 | 1 | no | — |
| 397 | D4 | — | 56 | 1 | no | — |
| 398 | D4 | — | 56 | 1 | no | — |
| 399 | D4 | — | 56 | 1 | no | — |
| 400 | C2×C4 | — | 2 | 1 | no | — |
| 401 | C2×C4 | — | 2 | 1 | no | — |
| 402 | C2×C4 | — | 4 | 1 | no | — |
| 403 | C2×C4 | — | 14 | 1 | no | — |
| 404 | C2×C4 | — | 14 | 1 | no | — |
| 405 | C2×C4 | — | 28 | 1 | no | — |
| 406 | C2×C4 | — | 28 | 1 | no | — |
| 407 | C2×C4 | — | 28 | 1 | no | — |
| 408 | C2×C4 | — | 28 | 1 | no | — |
| 409 | C2×C4 | — | 28 | 1 | no | — |
| 410 | C2×C4 | — | 28 | 1 | no | — |
| 411 | C2×C4 | — | 28 | 1 | no | — |
| 412 | C2×C4 | — | 28 | 1 | no | — |
| 413 | C2×C4 | — | 28 | 1 | no | — |
| 414 | C2×C4 | — | 28 | 1 | no | — |
| 415 | C2×C4 | D7×C22⋊C4 | 1 | 1 | yes | characteristic |
| 416 | C2×C4 | #6445 | 1 | 1 | yes | characteristic |
| 417 | C2×C4 | #6447 | 1 | 1 | yes | characteristic |
| 418 | C2×C4 | #6456 | 1 | 1 | yes | characteristic |
| 419 | C2×C4 | #6457 | 1 | 1 | yes | characteristic |
| 420 | C2×C4 | #6458 | 1 | 1 | yes | characteristic |
| 421 | C2×C4 | C2×D56 | 1 | 1 | yes | characteristic |
| 422 | C2×C4 | #6467 | 1 | 1 | yes | characteristic |
| 423 | C2×C4 | #6471 | 1 | 1 | yes | characteristic |
| 424 | C2×C4 | #6471 | 1 | 1 | yes | characteristic |
| 425 | C8 | — | 2 | 2 | no | — |
| 426 | C8 | — | 4 | 1 | no | — |
| 427 | C8 | — | 4 | 2 | no | — |
| 428 | C8 | — | 8 | 1 | no | — |
| 429 | C8 | — | 28 | 2 | no | — |
| 430 | C8 | — | 56 | 1 | no | — |
| 431 | C7 | #9253 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 432 | C22 | — | 2 | 1 | no | — |
| 433 | C22 | — | 2 | 1 | no | — |
| 434 | C22 | — | 14 | 2 | no | — |
| 435 | C22 | — | 28 | 1 | no | — |
| 436 | C22 | — | 28 | 1 | no | — |
| 437 | C22 | — | 28 | 1 | no | — |
| 438 | C22 | — | 28 | 1 | no | — |
| 439 | C22 | — | 28 | 1 | no | — |
| 440 | C22 | — | 56 | 2 | no | — |
| 441 | C22 | — | 56 | 2 | no | — |
| 442 | C22 | — | 56 | 2 | no | — |
| 443 | C22 | — | 56 | 2 | no | — |
| 444 | C22 | — | 56 | 2 | no | — |
| 445 | C22 | — | 112 | 2 | no | — |
| 446 | C22 | — | 112 | 2 | no | — |
| 447 | C22 | #89437 | 1 | 1 | yes | characteristic |
| 448 | C22 | C4×D56 | 1 | 1 | yes | characteristic |
| 449 | C22 | #89483 | 1 | 1 | yes | characteristic |
| 450 | C4 | — | 2 | 1 | no | — |
| 451 | C4 | — | 2 | 1 | no | — |
| 452 | C4 | — | 2 | 1 | no | — |
| 453 | C4 | — | 28 | 1 | no | — |
| 454 | C4 | — | 28 | 1 | no | — |
| 455 | C4 | #89504 | 1 | 1 | yes | characteristic |
| 456 | C4 | #89506 | 1 | 1 | yes | characteristic |
| 457 | C4 | D7×#100 | 1 | 1 | yes | characteristic |
| 458 | C4 | #89523 | 1 | 1 | yes | characteristic |
| 459 | C4 | #89615 | 1 | 1 | yes | characteristic |
| 460 | C4 | #89616 | 1 | 1 | yes | characteristic |
| 461 | C2 | — | 2 | 1 | no | — |
| 462 | C2 | — | 2 | 1 | no | — |
| 463 | C2 | — | 28 | 2 | no | — |
| 464 | C2 | — | 56 | 1 | no | — |
| 465 | C2 | — | 112 | 2 | no | — |
| 466 | C2 | #11726427 | 1 | 1 | yes | characteristic |
| 467 | C2 | #11726746 | 1 | 1 | yes | characteristic |
| 468 | C2 | #11726792 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta