| 1 | C2×#89687 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#89688 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #11739246 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11737034 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C7×#2208 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11729231 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11729230 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11729070 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11728644 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #11727048 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #11727039 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #11726991 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #11726990 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #11726975 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | D7×#358 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×#6482 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×#6481 | — | 2 | 1 | no | — |
| 18 | C2×D7×Q16 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×#6475 | C22 | 1 | 1 | yes | characteristic |
| 20 | #90415 | — | 2 | 1 | no | — |
| 21 | #90237 | — | 2 | 1 | no | — |
| 22 | C2×C7×SD32 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×C7×SD32 | C22 | 1 | 1 | yes | characteristic |
| 24 | C7×#494 | C22 | 1 | 1 | yes | characteristic |
| 25 | C4×C7×D8 | C22 | 1 | 1 | yes | characteristic |
| 26 | #89963 | C22 | 1 | 1 | yes | characteristic |
| 27 | #89962 | — | 2 | 1 | no | — |
| 28 | #89953 | C22 | 1 | 1 | yes | characteristic |
| 29 | C2×#6403 | C22 | 1 | 1 | yes | characteristic |
| 30 | C2×#6403 | C22 | 1 | 1 | yes | characteristic |
| 31 | D8×Dic7 | C22 | 1 | 1 | yes | characteristic |
| 32 | C2×#6401 | C22 | 1 | 1 | yes | characteristic |
| 33 | C2×#6400 | C22 | 1 | 1 | yes | characteristic |
| 34 | #89858 | — | 2 | 1 | no | — |
| 35 | #89790 | — | 2 | 1 | no | — |
| 36 | #89688 | — | 2 | 4 | no | — |
| 37 | #89687 | — | 2 | 4 | no | — |
| 38 | C2×Dic56 | C22 | 1 | 1 | yes | characteristic |
| 39 | C2×#6374 | C22 | 1 | 1 | yes | characteristic |
| 40 | C2×#6372 | C22 | 1 | 1 | yes | characteristic |
| 41 | C2×D7×C16 | C22 | 1 | 1 | yes | characteristic |
| 42 | D7×#107 | C22 | 1 | 1 | yes | characteristic |
| 43 | #89645 | C22 | 1 | 1 | yes | characteristic |
| 44 | #89543 | — | 2 | 1 | no | — |
| 45 | #89529 | — | 2 | 1 | no | — |
| 46 | C4×Dic28 | C22 | 1 | 1 | yes | characteristic |
| 47 | #89468 | C22 | 1 | 1 | yes | characteristic |
| 48 | #89461 | C22 | 1 | 1 | yes | characteristic |
| 49 | C7×C4⋊C16 | C22 | 1 | 1 | yes | characteristic |
| 50 | C7×#358 | C22 | 1 | 1 | yes | characteristic |
| 51 | C7×#358 | C22 | 1 | 1 | yes | characteristic |
| 52 | #89359 | C22 | 1 | 1 | yes | characteristic |
| 53 | #89359 | C22 | 1 | 1 | yes | characteristic |
| 54 | #89304 | C22 | 1 | 1 | yes | characteristic |
| 55 | #89298 | C22 | 1 | 1 | yes | characteristic |
| 56 | Dic7⋊C16 | C22 | 1 | 1 | yes | characteristic |
| 57 | Dic7⋊C16 | C22 | 1 | 1 | yes | characteristic |
| 58 | #89287 | C22 | 1 | 1 | yes | characteristic |
| 59 | #89286 | C22 | 1 | 1 | yes | characteristic |
| 60 | C4⋊(C7⋊C16) | C22 | 1 | 1 | yes | characteristic |
| 61 | #33590 | — | 7 | 1 | no | maximal, Sylow |
| 62 | C2×#1161 | — | 2 | 1 | no | — |
| 63 | C2×Q8×D7 | — | 2 | 1 | no | — |
| 64 | C2×#1159 | — | 2 | 1 | no | — |
| 65 | C2×C7×Q16 | — | 2 | 1 | no | — |
| 66 | C2×C7×Q16 | C23 | 1 | 1 | yes | characteristic |
| 67 | C2×C7×Q16 | C23 | 1 | 1 | yes | characteristic |
| 68 | C2×C7×D8 | C23 | 1 | 1 | yes | characteristic |
| 69 | C7×C4⋊Q8 | — | 2 | 1 | no | — |
| 70 | C4×C7×D4 | — | 2 | 1 | no | — |
| 71 | #6510 | — | 2 | 1 | no | — |
| 72 | #6507 | — | 2 | 1 | no | — |
| 73 | C2×#1144 | — | 2 | 1 | no | — |
| 74 | C2×#1144 | — | 2 | 1 | no | — |
| 75 | C2×#1143 | — | 2 | 1 | no | — |
| 76 | C2×#1143 | — | 2 | 1 | no | — |
| 77 | D4×Dic7 | — | 2 | 1 | no | — |
| 78 | C2×#1142 | — | 2 | 1 | no | — |
| 79 | C4×C22⋊D7 | — | 4 | 1 | no | — |
| 80 | C2×Dic7⋊C4 | — | 4 | 1 | no | — |
| 81 | #6482 | — | 2 | 2 | no | — |
| 82 | #6482 | — | 2 | 2 | no | — |
| 83 | #6481 | — | 4 | 4 | no | — |
| 84 | D7×Q16 | — | 2 | 2 | no | — |
| 85 | D7×Q16 | — | 2 | 2 | no | — |
| 86 | #6475 | — | 2 | 2 | no | — |
| 87 | #6475 | D4 | 1 | 4 | yes | — |
| 88 | C2×Dic28 | C23 | 1 | 1 | yes | characteristic |
| 89 | C2×Dic28 | C23 | 1 | 1 | yes | characteristic |
| 90 | C2×D56 | C23 | 1 | 1 | yes | characteristic |
| 91 | C2×#1132 | — | 2 | 1 | no | — |
| 92 | C2×#1131 | D4 | 1 | 1 | yes | characteristic |
| 93 | C2×C8×D7 | C23 | 1 | 1 | yes | characteristic |
| 94 | #6459 | — | 4 | 1 | no | — |
| 95 | #6459 | — | 4 | 1 | no | — |
| 96 | #6457 | — | 4 | 1 | no | — |
| 97 | #6457 | — | 4 | 1 | no | — |
| 98 | D7×C4⋊C4 | — | 2 | 1 | no | — |
| 99 | #6450 | — | 2 | 1 | no | — |
| 100 | (C22⋊D7)⋊C4 | — | 4 | 1 | no | — |
| 101 | #6440 | — | 4 | 1 | no | — |
| 102 | #6438 | — | 2 | 1 | no | — |
| 103 | #6435 | D4 | 1 | 1 | yes | characteristic |
| 104 | C4×Dic14 | — | 2 | 1 | no | — |
| 105 | C7×SD32 | — | 2 | 2 | no | — |
| 106 | C7×SD32 | — | 2 | 2 | no | — |
| 107 | C2×C7×C16 | C23 | 1 | 1 | yes | characteristic |
| 108 | C2×C7×C16 | C23 | 1 | 1 | yes | characteristic |
| 109 | C7×#107 | C23 | 1 | 1 | yes | characteristic |
| 110 | C7×#102 | — | 2 | 1 | no | — |
| 111 | C4×C7×C8 | C23 | 1 | 1 | yes | characteristic |
| 112 | #6406 | — | 2 | 1 | no | — |
| 113 | #6403 | — | 2 | 2 | no | — |
| 114 | #6403 | — | 2 | 2 | no | — |
| 115 | #6401 | — | 2 | 2 | no | — |
| 116 | #6400 | — | 2 | 2 | no | — |
| 117 | #6392 | C23 | 1 | 1 | yes | characteristic |
| 118 | #6390 | — | 2 | 1 | no | — |
| 119 | #6389 | D4 | 1 | 1 | yes | characteristic |
| 120 | C8×Dic7 | C23 | 1 | 1 | yes | characteristic |
| 121 | C2×C7⋊C16 | C23 | 1 | 1 | yes | characteristic |
| 122 | C2×C7⋊C16 | C23 | 1 | 1 | yes | characteristic |
| 123 | #6384 | — | 2 | 1 | no | — |
| 124 | #6381 | — | 2 | 1 | no | — |
| 125 | #6377 | D4 | 1 | 1 | yes | characteristic |
| 126 | Dic56 | — | 2 | 2 | no | — |
| 127 | #6374 | — | 2 | 2 | no | — |
| 128 | #6372 | — | 2 | 2 | no | — |
| 129 | D7×C16 | — | 2 | 2 | no | — |
| 130 | C2×#510 | — | 7 | 1 | no | — |
| 131 | C2×#508 | — | 7 | 1 | no | — |
| 132 | #3156 | — | 7 | 1 | no | — |
| 133 | #2951 | — | 7 | 1 | no | — |
| 134 | #2211 | — | 7 | 1 | no | — |
| 135 | #2211 | — | 7 | 1 | no | — |
| 136 | #2210 | — | 7 | 1 | no | — |
| 137 | #2210 | — | 7 | 1 | no | — |
| 138 | #2209 | — | 7 | 1 | no | — |
| 139 | #2209 | — | 7 | 1 | no | — |
| 140 | #2208 | — | 7 | 1 | no | — |
| 141 | #2208 | D7 | 1 | 1 | yes | characteristic, complemented |
| 142 | #2151 | — | 7 | 1 | no | — |
| 143 | #2139 | — | 7 | 1 | no | — |
| 144 | C2×#358 | — | 7 | 1 | no | — |
| 145 | C2×C7×Q8 | — | 2 | 1 | no | — |
| 146 | C2×C7×Q8 | — | 2 | 1 | no | — |
| 147 | C2×C7×D4 | — | 2 | 1 | no | — |
| 148 | C22×C4×C7 | — | 4 | 1 | no | — |
| 149 | C2×C22⋊D7 | — | 4 | 1 | no | — |
| 150 | C22×Dic7 | — | 4 | 1 | no | — |
| 151 | C22×Dic7 | — | 4 | 1 | no | — |
| 152 | #1161 | — | 4 | 2 | no | — |
| 153 | #1161 | — | 4 | 2 | no | — |
| 154 | Q8×D7 | — | 4 | 2 | no | — |
| 155 | Q8×D7 | — | 4 | 2 | no | — |
| 156 | #1159 | — | 2 | 4 | no | — |
| 157 | #1159 | — | 4 | 2 | no | — |
| 158 | C2×D28 | — | 2 | 1 | no | — |
| 159 | C2×D28 | — | 4 | 1 | no | — |
| 160 | C2×C4×D7 | — | 4 | 1 | no | — |
| 161 | C2×C4×D7 | — | 4 | 1 | no | — |
| 162 | C2×C4×D7 | — | 4 | 1 | no | — |
| 163 | C2×C4×D7 | C2×D4 | 1 | 1 | yes | characteristic |
| 164 | C2×Dic14 | — | 2 | 1 | no | — |
| 165 | C2×Dic14 | — | 2 | 1 | no | — |
| 166 | C2×Dic14 | — | 4 | 1 | no | — |
| 167 | C7×Q16 | — | 2 | 1 | no | — |
| 168 | C7×Q16 | — | 2 | 1 | no | — |
| 169 | C7×Q16 | — | 2 | 1 | no | — |
| 170 | C7×Q16 | — | 2 | 1 | no | — |
| 171 | C7×Q16 | — | 4 | 2 | no | — |
| 172 | C7×D8 | — | 2 | 1 | no | — |
| 173 | C7×D8 | C2×D4 | 1 | 2 | yes | — |
| 174 | C2×C7×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 175 | C2×C7×C8 | C24 | 1 | 1 | yes | characteristic |
| 176 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 177 | C7×C4⋊C4 | — | 4 | 1 | no | — |
| 178 | C7×C4⋊C4 | — | 4 | 1 | no | — |
| 179 | C7×C22⋊C4 | — | 4 | 1 | no | — |
| 180 | C42×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 181 | C22⋊Dic7 | — | 4 | 1 | no | — |
| 182 | #1144 | — | 4 | 2 | no | — |
| 183 | #1144 | — | 4 | 2 | no | — |
| 184 | #1143 | — | 4 | 2 | no | — |
| 185 | #1143 | — | 4 | 2 | no | — |
| 186 | #1142 | — | 2 | 4 | no | — |
| 187 | (C2×D7)⋊C4 | — | 4 | 1 | no | — |
| 188 | (C2×D7)⋊C4 | — | 4 | 1 | no | — |
| 189 | (C2×D7)⋊C4 | — | 4 | 1 | no | — |
| 190 | (C2×D7)⋊C4 | — | 4 | 1 | no | — |
| 191 | (C2×D7)⋊C4 | D8 | 1 | 1 | yes | characteristic |
| 192 | (C2×D7)⋊C4 | D8 | 1 | 1 | yes | characteristic |
| 193 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 194 | Dic7⋊C4 | — | 4 | 1 | no | — |
| 195 | Dic7⋊C4 | — | 4 | 1 | no | — |
| 196 | Dic7⋊C4 | — | 4 | 1 | no | — |
| 197 | Dic7⋊C4 | — | 4 | 1 | no | — |
| 198 | Dic7⋊C4 | — | 4 | 1 | no | — |
| 199 | Dic7⋊C4 | D8 | 1 | 1 | yes | characteristic |
| 200 | Dic7⋊C4 | D8 | 1 | 1 | yes | characteristic |
| 201 | C4×Dic7 | — | 4 | 1 | no | — |
| 202 | C4×Dic7 | — | 4 | 1 | no | — |
| 203 | C4×Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 204 | C2×C7⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 205 | C2×C7⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 206 | Dic28 | — | 2 | 1 | no | — |
| 207 | Dic28 | — | 2 | 1 | no | — |
| 208 | Dic28 | — | 2 | 1 | no | — |
| 209 | Dic28 | C2×D4 | 1 | 2 | yes | — |
| 210 | D56 | — | 2 | 1 | no | — |
| 211 | D56 | — | 2 | 1 | no | — |
| 212 | #1132 | — | 4 | 2 | no | — |
| 213 | #1131 | — | 2 | 2 | no | — |
| 214 | C8×D7 | C2×D4 | 1 | 2 | yes | — |
| 215 | C8×D7 | #41 | 1 | 2 | yes | — |
| 216 | C7×C16 | — | 2 | 1 | no | — |
| 217 | C7×C16 | — | 2 | 1 | no | — |
| 218 | C7⋊C16 | — | 2 | 1 | no | — |
| 219 | C7⋊C16 | — | 2 | 1 | no | — |
| 220 | C2×#137 | — | 14 | 1 | no | — |
| 221 | C2×#135 | — | 7 | 1 | no | — |
| 222 | C2×#135 | — | 7 | 1 | no | — |
| 223 | C22×Q16 | — | 7 | 1 | no | — |
| 224 | #536 | — | 14 | 1 | no | — |
| 225 | #520 | — | 14 | 1 | no | — |
| 226 | #510 | — | 14 | 4 | no | — |
| 227 | #508 | — | 14 | 4 | no | — |
| 228 | C2×Q32 | — | 7 | 1 | no | — |
| 229 | C2×Q32 | — | 7 | 1 | no | — |
| 230 | C2×Q32 | — | 7 | 1 | no | — |
| 231 | C2×SD32 | — | 7 | 1 | no | — |
| 232 | C2×SD32 | — | 7 | 1 | no | — |
| 233 | C2×SD32 | C2×D7 | 1 | 1 | yes | characteristic |
| 234 | C2×SD32 | C2×D7 | 1 | 1 | yes | characteristic |
| 235 | C2×D16 | — | 7 | 1 | no | — |
| 236 | C2×M32 | — | 7 | 1 | no | — |
| 237 | C22×C16 | — | 7 | 1 | no | — |
| 238 | #497 | — | 14 | 1 | no | — |
| 239 | #497 | — | 14 | 1 | no | — |
| 240 | #495 | — | 7 | 1 | no | — |
| 241 | #495 | — | 7 | 1 | no | — |
| 242 | #494 | — | 7 | 1 | no | — |
| 243 | #494 | C2×D7 | 1 | 1 | yes | characteristic |
| 244 | #440 | — | 14 | 1 | no | — |
| 245 | #440 | — | 14 | 1 | no | — |
| 246 | C4×Q16 | — | 7 | 1 | no | — |
| 247 | C4×Q16 | — | 7 | 1 | no | — |
| 248 | C4×D8 | — | 7 | 1 | no | — |
| 249 | C4×D8 | C2×D7 | 1 | 1 | yes | characteristic |
| 250 | C2×#107 | — | 7 | 1 | no | — |
| 251 | #417 | — | 14 | 1 | no | — |
| 252 | #405 | — | 7 | 1 | no | — |
| 253 | C4⋊C16 | — | 7 | 1 | no | — |
| 254 | C4⋊C16 | — | 7 | 1 | no | — |
| 255 | C4⋊C16 | — | 7 | 1 | no | — |
| 256 | C4⋊C16 | C2×D7 | 1 | 1 | yes | characteristic |
| 257 | #358 | — | 7 | 1 | no | — |
| 258 | #358 | — | 7 | 1 | no | — |
| 259 | #358 | — | 7 | 1 | no | — |
| 260 | #358 | — | 7 | 1 | no | — |
| 261 | #358 | C2×D7 | 1 | 1 | yes | characteristic |
| 262 | #358 | C2×D7 | 1 | 1 | yes | characteristic |
| 263 | #357 | — | 7 | 1 | no | — |
| 264 | #357 | — | 7 | 1 | no | — |
| 265 | C23×C7 | — | 4 | 1 | no | — |
| 266 | C22×D7 | — | 4 | 1 | no | — |
| 267 | C22×D7 | C2×D8 | 1 | 1 | yes | characteristic |
| 268 | C7×Q8 | — | 4 | 1 | no | — |
| 269 | C7×Q8 | — | 4 | 1 | no | — |
| 270 | C7×Q8 | — | 4 | 1 | no | — |
| 271 | C7×Q8 | — | 4 | 1 | no | — |
| 272 | C7×D4 | — | 2 | 2 | no | — |
| 273 | C7×D4 | — | 4 | 1 | no | — |
| 274 | C2×C4×C7 | — | 4 | 1 | no | — |
| 275 | C2×C4×C7 | — | 4 | 1 | no | — |
| 276 | C2×C4×C7 | — | 4 | 1 | no | — |
| 277 | C2×C4×C7 | — | 16 | 1 | no | — |
| 278 | C2×C4×C7 | C2×D8 | 1 | 1 | yes | characteristic |
| 279 | C2×C4×C7 | C2×D8 | 1 | 1 | yes | characteristic |
| 280 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 281 | C22⋊D7 | — | 4 | 4 | no | — |
| 282 | C2×Dic7 | — | 4 | 1 | no | — |
| 283 | C2×Dic7 | — | 4 | 4 | no | — |
| 284 | C2×Dic7 | — | 4 | 1 | no | — |
| 285 | C2×Dic7 | — | 4 | 1 | no | — |
| 286 | C2×Dic7 | — | 16 | 1 | no | — |
| 287 | C2×Dic7 | C2×D8 | 1 | 1 | yes | characteristic |
| 288 | C2×Dic7 | C2×D8 | 1 | 1 | yes | characteristic |
| 289 | C2×Dic7 | C2×D8 | 1 | 1 | yes | characteristic |
| 290 | D28 | — | 4 | 1 | no | — |
| 291 | D28 | — | 4 | 1 | no | — |
| 292 | D28 | — | 8 | 2 | no | — |
| 293 | C4×D7 | — | 8 | 2 | no | — |
| 294 | C4×D7 | — | 8 | 2 | no | — |
| 295 | C4×D7 | — | 16 | 1 | no | — |
| 296 | C4×D7 | #121 | 1 | 2 | yes | — |
| 297 | C4×D7 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 298 | Dic14 | — | 2 | 2 | no | — |
| 299 | Dic14 | — | 4 | 1 | no | — |
| 300 | Dic14 | — | 4 | 1 | no | — |
| 301 | Dic14 | — | 4 | 1 | no | — |
| 302 | Dic14 | — | 8 | 2 | no | — |
| 303 | C7×C8 | — | 2 | 1 | no | — |
| 304 | C7×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 305 | C7×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 306 | C7⋊C8 | — | 2 | 1 | no | — |
| 307 | C7⋊C8 | #121 | 1 | 2 | yes | — |
| 308 | C2×#41 | — | 14 | 1 | no | — |
| 309 | C2×#41 | — | 14 | 1 | no | — |
| 310 | C22×Q8 | — | 14 | 1 | no | — |
| 311 | #137 | — | 28 | 4 | no | — |
| 312 | #135 | — | 7 | 4 | no | — |
| 313 | #135 | — | 14 | 2 | no | — |
| 314 | #135 | — | 14 | 2 | no | — |
| 315 | #135 | — | 14 | 2 | no | — |
| 316 | C2×Q16 | — | 2 | 1 | no | — |
| 317 | C2×Q16 | — | 7 | 1 | no | — |
| 318 | C2×Q16 | — | 7 | 1 | no | — |
| 319 | C2×Q16 | — | 14 | 2 | no | — |
| 320 | C2×Q16 | — | 14 | 2 | no | — |
| 321 | C2×Q16 | — | 14 | 1 | no | — |
| 322 | C2×Q16 | — | 14 | 1 | no | — |
| 323 | C2×Q16 | C22×D7 | 1 | 1 | yes | characteristic |
| 324 | C2×Q16 | C22×D7 | 1 | 1 | yes | characteristic |
| 325 | C2×SD16 | — | 14 | 1 | no | — |
| 326 | C2×SD16 | — | 14 | 1 | no | — |
| 327 | C2×SD16 | — | 14 | 1 | no | — |
| 328 | C2×SD16 | — | 14 | 1 | no | — |
| 329 | C2×D8 | — | 7 | 1 | no | — |
| 330 | C2×D8 | C22×D7 | 1 | 1 | yes | characteristic |
| 331 | C2×M16 | — | 7 | 1 | no | — |
| 332 | C22×C8 | — | 7 | 1 | no | — |
| 333 | C4⋊Q8 | — | 2 | 1 | no | — |
| 334 | C4⋊Q8 | — | 14 | 1 | no | — |
| 335 | #124 | — | 14 | 1 | no | — |
| 336 | #124 | — | 14 | 1 | no | — |
| 337 | #123 | — | 28 | 1 | no | — |
| 338 | #123 | — | 28 | 1 | no | — |
| 339 | C22⋊Q8 | — | 28 | 1 | no | — |
| 340 | C22⋊Q8 | — | 28 | 1 | no | — |
| 341 | C4×Q8 | — | 14 | 1 | no | — |
| 342 | C4×Q8 | — | 14 | 1 | no | — |
| 343 | C4×D4 | — | 2 | 1 | no | — |
| 344 | C4×D4 | — | 14 | 1 | no | — |
| 345 | C4×D4 | — | 28 | 1 | no | — |
| 346 | C4×D4 | — | 28 | 1 | no | — |
| 347 | #117 | — | 7 | 1 | no | — |
| 348 | #117 | — | 28 | 1 | no | — |
| 349 | C2×C4⋊C4 | — | 14 | 1 | no | — |
| 350 | C2×C4⋊C4 | — | 28 | 1 | no | — |
| 351 | Q32 | — | 14 | 2 | no | — |
| 352 | Q32 | — | 14 | 2 | no | — |
| 353 | Q32 | — | 14 | 2 | no | — |
| 354 | SD32 | — | 2 | 2 | no | — |
| 355 | SD32 | — | 2 | 2 | no | — |
| 356 | SD32 | — | 14 | 2 | no | — |
| 357 | SD32 | — | 14 | 2 | no | — |
| 358 | D16 | — | 14 | 2 | no | — |
| 359 | M32 | — | 14 | 2 | no | — |
| 360 | C2×C16 | — | 7 | 1 | no | — |
| 361 | C2×C16 | — | 7 | 1 | no | — |
| 362 | C2×C16 | — | 14 | 2 | no | — |
| 363 | C2×C16 | C22×D7 | 1 | 1 | yes | characteristic |
| 364 | C2×C16 | C22×D7 | 1 | 1 | yes | characteristic |
| 365 | #107 | — | 7 | 1 | no | — |
| 366 | #107 | — | 14 | 1 | no | — |
| 367 | #107 | C22×D7 | 1 | 1 | yes | characteristic |
| 368 | #103 | — | 14 | 1 | no | — |
| 369 | #103 | — | 14 | 1 | no | — |
| 370 | #102 | — | 2 | 1 | no | — |
| 371 | #102 | — | 14 | 1 | no | — |
| 372 | #97 | — | 7 | 1 | no | — |
| 373 | #97 | — | 7 | 1 | no | — |
| 374 | C4×C8 | — | 7 | 1 | no | — |
| 375 | C4×C8 | C22×D7 | 1 | 1 | yes | characteristic |
| 376 | C22×C7 | — | 4 | 2 | no | — |
| 377 | C22×C7 | — | 8 | 1 | no | — |
| 378 | C22×C7 | — | 8 | 1 | no | — |
| 379 | C22×C7 | C22×D8 | 1 | 1 | yes | characteristic |
| 380 | C2×D7 | — | 2 | 1 | no | — |
| 381 | C2×D7 | — | 2 | 1 | no | — |
| 382 | C2×D7 | — | 8 | 1 | no | — |
| 383 | C2×D7 | — | 8 | 1 | no | — |
| 384 | C2×D7 | — | 8 | 1 | no | — |
| 385 | C2×D7 | #459 | 1 | 2 | yes | — |
| 386 | C4×C7 | — | 2 | 1 | no | — |
| 387 | C4×C7 | — | 2 | 1 | no | — |
| 388 | C4×C7 | — | 8 | 1 | no | — |
| 389 | C4×C7 | — | 8 | 1 | no | — |
| 390 | C4×C7 | — | 8 | 1 | no | — |
| 391 | C4×C7 | C2×#121 | 1 | 1 | yes | characteristic |
| 392 | C4×C7 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 393 | Dic7 | — | 2 | 1 | no | — |
| 394 | Dic7 | — | 2 | 1 | no | — |
| 395 | Dic7 | — | 4 | 2 | no | — |
| 396 | Dic7 | — | 8 | 1 | no | — |
| 397 | Dic7 | — | 8 | 1 | no | — |
| 398 | Dic7 | #459 | 1 | 2 | yes | — |
| 399 | #41 | — | 14 | 4 | no | — |
| 400 | #41 | — | 28 | 2 | no | — |
| 401 | #41 | — | 28 | 2 | no | — |
| 402 | #41 | — | 28 | 2 | no | — |
| 403 | C2×Q8 | — | 2 | 1 | no | — |
| 404 | C2×Q8 | — | 2 | 1 | no | — |
| 405 | C2×Q8 | — | 14 | 1 | no | — |
| 406 | C2×Q8 | — | 14 | 1 | no | — |
| 407 | C2×Q8 | — | 28 | 1 | no | — |
| 408 | C2×Q8 | — | 28 | 2 | no | — |
| 409 | C2×Q8 | — | 28 | 2 | no | — |
| 410 | C2×D4 | — | 2 | 1 | no | — |
| 411 | C2×D4 | — | 14 | 1 | no | — |
| 412 | C2×D4 | — | 28 | 1 | no | — |
| 413 | C2×D4 | — | 28 | 1 | no | — |
| 414 | C22×C4 | — | 4 | 1 | no | — |
| 415 | C22×C4 | — | 7 | 1 | no | — |
| 416 | C22×C4 | — | 28 | 1 | no | — |
| 417 | C22×C4 | — | 28 | 1 | no | — |
| 418 | C22×C4 | — | 28 | 1 | no | — |
| 419 | C22×C4 | — | 28 | 1 | no | — |
| 420 | C22×C4 | — | 28 | 1 | no | — |
| 421 | Q16 | — | 2 | 1 | no | — |
| 422 | Q16 | — | 2 | 1 | no | — |
| 423 | Q16 | — | 2 | 1 | no | — |
| 424 | Q16 | — | 2 | 1 | no | — |
| 425 | Q16 | — | 4 | 2 | no | — |
| 426 | Q16 | — | 7 | 2 | no | — |
| 427 | Q16 | — | 14 | 1 | no | — |
| 428 | Q16 | — | 14 | 1 | no | — |
| 429 | Q16 | — | 14 | 1 | no | — |
| 430 | Q16 | — | 28 | 2 | no | — |
| 431 | Q16 | — | 28 | 2 | no | — |
| 432 | SD16 | — | 14 | 4 | no | — |
| 433 | SD16 | — | 28 | 2 | no | — |
| 434 | SD16 | — | 28 | 2 | no | — |
| 435 | SD16 | — | 28 | 2 | no | — |
| 436 | D8 | — | 2 | 1 | no | — |
| 437 | D8 | — | 14 | 1 | no | — |
| 438 | D8 | — | 14 | 1 | no | — |
| 439 | D8 | D4×D7 | 1 | 2 | yes | — |
| 440 | M16 | — | 14 | 2 | no | — |
| 441 | C2×C8 | — | 7 | 1 | no | — |
| 442 | C2×C8 | — | 7 | 2 | no | — |
| 443 | C2×C8 | — | 7 | 2 | no | — |
| 444 | C2×C8 | — | 7 | 1 | no | — |
| 445 | C2×C8 | D4×D7 | 1 | 1 | yes | characteristic |
| 446 | C2×C8 | C23×D7 | 1 | 1 | yes | characteristic |
| 447 | C4⋊C4 | — | 2 | 1 | no | — |
| 448 | C4⋊C4 | — | 4 | 1 | no | — |
| 449 | C4⋊C4 | — | 4 | 1 | no | — |
| 450 | C4⋊C4 | — | 7 | 1 | no | — |
| 451 | C4⋊C4 | — | 7 | 1 | no | — |
| 452 | C4⋊C4 | — | 14 | 1 | no | — |
| 453 | C4⋊C4 | — | 28 | 1 | no | — |
| 454 | C4⋊C4 | — | 28 | 1 | no | — |
| 455 | C4⋊C4 | — | 28 | 1 | no | — |
| 456 | C4⋊C4 | — | 28 | 1 | no | — |
| 457 | C4⋊C4 | — | 28 | 1 | no | — |
| 458 | C22⋊C4 | — | 4 | 1 | no | — |
| 459 | C22⋊C4 | — | 7 | 1 | no | — |
| 460 | C22⋊C4 | — | 7 | 1 | no | — |
| 461 | C22⋊C4 | — | 28 | 1 | no | — |
| 462 | C22⋊C4 | — | 28 | 1 | no | — |
| 463 | C22⋊C4 | — | 28 | 1 | no | — |
| 464 | C22⋊C4 | — | 28 | 1 | no | — |
| 465 | C22⋊C4 | — | 28 | 1 | no | — |
| 466 | C42 | — | 7 | 1 | no | — |
| 467 | C42 | — | 28 | 1 | no | — |
| 468 | C42 | — | 28 | 1 | no | — |
| 469 | C42 | D4×D7 | 1 | 1 | yes | characteristic |
| 470 | C16 | — | 2 | 1 | no | — |
| 471 | C16 | — | 2 | 1 | no | — |
| 472 | C16 | — | 14 | 1 | no | — |
| 473 | C16 | — | 14 | 1 | no | — |
| 474 | C2×C7 | — | 8 | 2 | no | — |
| 475 | C2×C7 | C2×#459 | 1 | 1 | yes | characteristic |
| 476 | C2×C7 | #3416 | 1 | 1 | yes | characteristic |
| 477 | C2×C7 | #3417 | 1 | 1 | yes | characteristic |
| 478 | D7 | — | 2 | 2 | no | — |
| 479 | D7 | — | 16 | 1 | no | — |
| 480 | C23 | — | 4 | 1 | no | — |
| 481 | C23 | — | 7 | 1 | no | — |
| 482 | C23 | — | 28 | 1 | no | — |
| 483 | Q8 | — | 4 | 1 | no | — |
| 484 | Q8 | — | 4 | 1 | no | — |
| 485 | Q8 | — | 4 | 1 | no | — |
| 486 | Q8 | — | 4 | 1 | no | — |
| 487 | Q8 | — | 14 | 2 | no | — |
| 488 | Q8 | — | 28 | 1 | no | — |
| 489 | Q8 | — | 28 | 1 | no | — |
| 490 | Q8 | — | 28 | 1 | no | — |
| 491 | Q8 | — | 56 | 2 | no | — |
| 492 | D4 | — | 2 | 2 | no | — |
| 493 | D4 | — | 4 | 1 | no | — |
| 494 | D4 | — | 28 | 4 | no | — |
| 495 | D4 | — | 28 | 1 | no | — |
| 496 | D4 | — | 28 | 1 | no | — |
| 497 | D4 | — | 56 | 2 | no | — |
| 498 | C2×C4 | — | 4 | 1 | no | — |
| 499 | C2×C4 | — | 4 | 1 | no | — |
| 500 | C2×C4 | — | 4 | 1 | no | — |
| 501 | C2×C4 | — | 7 | 1 | no | — |
| 502 | C2×C4 | — | 7 | 2 | no | — |
| 503 | C2×C4 | — | 7 | 2 | no | — |
| 504 | C2×C4 | — | 7 | 1 | no | — |
| 505 | C2×C4 | — | 7 | 1 | no | — |
| 506 | C2×C4 | — | 16 | 1 | no | — |
| 507 | C2×C4 | — | 28 | 4 | no | — |
| 508 | C2×C4 | — | 28 | 1 | no | — |
| 509 | C2×C4 | — | 28 | 1 | no | — |
| 510 | C2×C4 | — | 28 | 1 | no | — |
| 511 | C2×C4 | — | 56 | 2 | no | — |
| 512 | C2×C4 | — | 56 | 2 | no | — |
| 513 | C2×C4 | — | 112 | 1 | no | — |
| 514 | C2×C4 | — | 112 | 1 | no | — |
| 515 | C2×C4 | D7×D8 | 1 | 1 | yes | characteristic |
| 516 | C2×C4 | D7×D8 | 1 | 1 | yes | characteristic |
| 517 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 518 | C8 | — | 2 | 1 | no | — |
| 519 | C8 | — | 7 | 2 | no | — |
| 520 | C8 | — | 14 | 1 | no | — |
| 521 | C8 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 522 | C8 | D7×#41 | 1 | 1 | yes | characteristic |
| 523 | C7 | #33590 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 524 | C22 | — | 4 | 2 | no | — |
| 525 | C22 | — | 7 | 2 | no | — |
| 526 | C22 | — | 8 | 1 | no | — |
| 527 | C22 | — | 8 | 1 | no | — |
| 528 | C22 | — | 14 | 1 | no | — |
| 529 | C22 | — | 14 | 1 | no | — |
| 530 | C22 | — | 56 | 1 | no | — |
| 531 | C22 | — | 56 | 1 | no | — |
| 532 | C22 | — | 56 | 1 | no | — |
| 533 | C22 | C2×D7×D8 | 1 | 1 | yes | characteristic |
| 534 | C4 | — | 2 | 1 | no | — |
| 535 | C4 | — | 2 | 1 | no | — |
| 536 | C4 | — | 7 | 2 | no | — |
| 537 | C4 | — | 8 | 1 | no | — |
| 538 | C4 | — | 8 | 1 | no | — |
| 539 | C4 | — | 8 | 1 | no | — |
| 540 | C4 | — | 14 | 1 | no | — |
| 541 | C4 | — | 14 | 1 | no | — |
| 542 | C4 | — | 28 | 2 | no | — |
| 543 | C4 | — | 56 | 1 | no | — |
| 544 | C4 | — | 56 | 1 | no | — |
| 545 | C4 | D7×#121 | 1 | 1 | yes | characteristic |
| 546 | C4 | D7×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 547 | C2 | — | 8 | 2 | no | — |
| 548 | C2 | — | 14 | 2 | no | — |
| 549 | C2 | — | 112 | 1 | no | — |
| 550 | C2 | D7×#459 | 1 | 1 | yes | characteristic |
| 551 | C2 | #11739469 | 1 | 1 | yes | characteristic |
| 552 | C2 | #11739486 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta