| 1 | #11739205 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11738420 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11737787 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11736867 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C7×#1665 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11729021 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11728859 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11728763 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11728600 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #11726290 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | D7×#334 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #11726203 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #11726175 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #11726153 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #11726138 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×#6479 | — | 2 | 1 | no | — |
| 17 | C2×#6479 | — | 2 | 1 | no | — |
| 18 | C2×#6464 | — | 2 | 1 | no | — |
| 19 | #90416 | C22 | 1 | 1 | yes | characteristic |
| 20 | #90407 | C22 | 1 | 1 | yes | characteristic |
| 21 | #90239 | C22 | 1 | 1 | yes | characteristic |
| 22 | C7×#492 | C22 | 1 | 1 | yes | characteristic |
| 23 | C7×#474 | C22 | 1 | 1 | yes | characteristic |
| 24 | C7×#459 | C22 | 1 | 1 | yes | characteristic |
| 25 | C7×C8×D4 | C22 | 1 | 1 | yes | characteristic |
| 26 | #89940 | — | 2 | 1 | no | — |
| 27 | #89940 | — | 2 | 1 | no | — |
| 28 | #89929 | — | 2 | 1 | no | — |
| 29 | #89922 | — | 2 | 1 | no | — |
| 30 | C8×C22⋊D7 | — | 2 | 1 | no | — |
| 31 | #89864 | C22 | 1 | 1 | yes | characteristic |
| 32 | #89859 | C22 | 1 | 1 | yes | characteristic |
| 33 | #89845 | C22 | 1 | 1 | yes | characteristic |
| 34 | #89844 | C22 | 1 | 1 | yes | characteristic |
| 35 | #89787 | C22 | 1 | 1 | yes | characteristic |
| 36 | #89784 | C22 | 1 | 1 | yes | characteristic |
| 37 | #89779 | C22 | 1 | 1 | yes | characteristic |
| 38 | #89662 | — | 2 | 1 | no | — |
| 39 | #89655 | — | 2 | 1 | no | — |
| 40 | #89618 | C22 | 1 | 1 | yes | characteristic |
| 41 | #89615 | C22 | 1 | 1 | yes | characteristic |
| 42 | #89610 | C22 | 1 | 1 | yes | characteristic |
| 43 | #89609 | C22 | 1 | 1 | yes | characteristic |
| 44 | D7×C4⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 45 | D7×C4⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 46 | #89558 | — | 2 | 1 | no | — |
| 47 | #89547 | — | 2 | 1 | no | — |
| 48 | #89547 | — | 2 | 1 | no | — |
| 49 | #89531 | — | 2 | 1 | no | — |
| 50 | #89501 | — | 2 | 1 | no | — |
| 51 | #89499 | — | 2 | 1 | no | — |
| 52 | #89465 | C22 | 1 | 1 | yes | characteristic |
| 53 | C8×D28 | C22 | 1 | 1 | yes | characteristic |
| 54 | C4×C8×D7 | C22 | 1 | 1 | yes | characteristic |
| 55 | C7×#334 | C22 | 1 | 1 | yes | characteristic |
| 56 | C7×#332 | C22 | 1 | 1 | yes | characteristic |
| 57 | C7×#331 | C22 | 1 | 1 | yes | characteristic |
| 58 | #89342 | C22 | 1 | 1 | yes | characteristic |
| 59 | #89339 | C22 | 1 | 1 | yes | characteristic |
| 60 | #89281 | C22 | 1 | 1 | yes | characteristic |
| 61 | #89280 | C22 | 1 | 1 | yes | characteristic |
| 62 | #89280 | C22 | 1 | 1 | yes | characteristic |
| 63 | #89277 | C22 | 1 | 1 | yes | characteristic |
| 64 | #89275 | C22 | 1 | 1 | yes | characteristic |
| 65 | #89275 | C22 | 1 | 1 | yes | characteristic |
| 66 | #89252 | C22 | 1 | 1 | yes | characteristic |
| 67 | #19189 | — | 7 | 1 | no | maximal, Sylow |
| 68 | C2×#1161 | — | 2 | 1 | no | — |
| 69 | C2×#1159 | — | 2 | 1 | no | — |
| 70 | C2×#1157 | — | 2 | 1 | no | — |
| 71 | C2×C7×SD16 | — | 2 | 1 | no | — |
| 72 | C2×C7×SD16 | — | 2 | 1 | no | — |
| 73 | C2×C7×D8 | — | 2 | 1 | no | — |
| 74 | C22×C7×C8 | — | 2 | 1 | no | — |
| 75 | C7×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 76 | C7×#127 | C23 | 1 | 1 | yes | characteristic |
| 77 | C4×C7×D4 | C23 | 1 | 1 | yes | characteristic |
| 78 | #6510 | — | 2 | 1 | no | — |
| 79 | C2×#1144 | — | 2 | 1 | no | — |
| 80 | C2×#1144 | — | 2 | 1 | no | — |
| 81 | #6503 | D4 | 1 | 1 | yes | characteristic |
| 82 | #6501 | — | 2 | 1 | no | — |
| 83 | #6501 | — | 2 | 1 | no | — |
| 84 | #6501 | D4 | 1 | 1 | yes | characteristic |
| 85 | #6499 | — | 2 | 1 | no | — |
| 86 | D4×Dic7 | — | 2 | 1 | no | — |
| 87 | D4×Dic7 | — | 2 | 1 | no | — |
| 88 | C2×#1141 | — | 2 | 1 | no | — |
| 89 | C2×#1141 | — | 2 | 1 | no | — |
| 90 | C2×#1141 | — | 2 | 1 | no | — |
| 91 | C2×#1141 | — | 2 | 1 | no | — |
| 92 | C4×C22⋊D7 | — | 2 | 1 | no | — |
| 93 | C2×#1136 | — | 2 | 1 | no | — |
| 94 | #6479 | — | 4 | 4 | no | — |
| 95 | #6479 | — | 4 | 4 | no | — |
| 96 | C2×D56 | — | 2 | 1 | no | — |
| 97 | C2×#1132 | — | 2 | 1 | no | — |
| 98 | C2×#1132 | — | 2 | 1 | no | — |
| 99 | #6464 | — | 4 | 4 | no | — |
| 100 | C2×#1131 | — | 2 | 1 | no | — |
| 101 | C2×#1131 | — | 2 | 1 | no | — |
| 102 | C2×C8×D7 | — | 2 | 1 | no | — |
| 103 | C2×C8×D7 | — | 2 | 1 | no | — |
| 104 | C2×C8×D7 | — | 2 | 1 | no | — |
| 105 | C2×C8×D7 | D4 | 1 | 1 | yes | characteristic |
| 106 | C2×C8×D7 | D4 | 1 | 1 | yes | characteristic |
| 107 | #6458 | — | 2 | 1 | no | — |
| 108 | #6458 | — | 2 | 1 | no | — |
| 109 | #6458 | D4 | 1 | 1 | yes | characteristic |
| 110 | #6456 | — | 2 | 1 | no | — |
| 111 | #6456 | — | 2 | 1 | no | — |
| 112 | #6451 | D4 | 1 | 1 | yes | characteristic |
| 113 | #6448 | — | 2 | 1 | no | — |
| 114 | #6447 | — | 2 | 1 | no | — |
| 115 | #6437 | C23 | 1 | 1 | yes | characteristic |
| 116 | C4×D28 | C23 | 1 | 1 | yes | characteristic |
| 117 | C42×D7 | C23 | 1 | 1 | yes | characteristic |
| 118 | #6432 | C23 | 1 | 1 | yes | characteristic |
| 119 | C7×#107 | — | 2 | 1 | no | — |
| 120 | C7×C4⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 121 | C7×C4⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 122 | C7×C4⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 123 | C7×#102 | — | 2 | 1 | no | — |
| 124 | C7×#102 | — | 2 | 1 | no | — |
| 125 | C7×C22⋊C8 | — | 2 | 1 | no | — |
| 126 | C4×C7×C8 | C23 | 1 | 1 | yes | characteristic |
| 127 | #6406 | — | 2 | 1 | no | — |
| 128 | #6406 | — | 2 | 1 | no | — |
| 129 | C22⋊(C7⋊C8) | — | 2 | 1 | no | — |
| 130 | #6395 | — | 2 | 1 | no | — |
| 131 | #6395 | — | 2 | 1 | no | — |
| 132 | (C2×D7)⋊C8 | — | 2 | 1 | no | — |
| 133 | (C2×D7)⋊C8 | — | 2 | 1 | no | — |
| 134 | #6392 | — | 2 | 1 | no | — |
| 135 | Dic7⋊C8 | — | 2 | 1 | no | — |
| 136 | Dic7⋊C8 | — | 2 | 1 | no | — |
| 137 | Dic7⋊C8 | — | 2 | 1 | no | — |
| 138 | C8×Dic7 | D4 | 1 | 1 | yes | characteristic |
| 139 | C8×Dic7 | D4 | 1 | 1 | yes | characteristic |
| 140 | #6383 | — | 2 | 1 | no | — |
| 141 | #6383 | — | 2 | 1 | no | — |
| 142 | #6381 | — | 2 | 1 | no | — |
| 143 | #6381 | — | 2 | 1 | no | — |
| 144 | C4⋊(C7⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 145 | C4⋊(C7⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 146 | C4⋊(C7⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 147 | C4×C7⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 148 | #3245 | — | 7 | 1 | no | — |
| 149 | #3245 | — | 7 | 1 | no | — |
| 150 | #3147 | — | 7 | 1 | no | — |
| 151 | #2931 | — | 7 | 1 | no | — |
| 152 | #1689 | — | 7 | 1 | no | — |
| 153 | #1689 | — | 7 | 1 | no | — |
| 154 | #1687 | — | 7 | 1 | no | — |
| 155 | #1687 | — | 7 | 1 | no | — |
| 156 | #1665 | — | 7 | 1 | no | — |
| 157 | #1665 | — | 7 | 1 | no | — |
| 158 | #1665 | — | 7 | 1 | no | — |
| 159 | #1665 | D7 | 1 | 1 | yes | characteristic, complemented |
| 160 | C2×#334 | — | 7 | 1 | no | — |
| 161 | #1547 | — | 7 | 1 | no | — |
| 162 | #1547 | — | 7 | 1 | no | — |
| 163 | C2×C7×Q8 | — | 2 | 1 | no | — |
| 164 | C2×C7×D4 | — | 2 | 1 | no | — |
| 165 | C2×C7×D4 | — | 2 | 1 | no | — |
| 166 | C2×C7×D4 | — | 2 | 1 | no | — |
| 167 | C2×C7×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 168 | C22×C4×C7 | — | 2 | 1 | no | — |
| 169 | C2×C22⋊D7 | — | 2 | 1 | no | — |
| 170 | C2×C22⋊D7 | — | 2 | 1 | no | — |
| 171 | C2×C22⋊D7 | — | 2 | 1 | no | — |
| 172 | C2×C22⋊D7 | — | 4 | 1 | no | — |
| 173 | C22×Dic7 | — | 4 | 1 | no | — |
| 174 | #1161 | — | 4 | 2 | no | — |
| 175 | #1161 | — | 4 | 2 | no | — |
| 176 | #1159 | — | 4 | 2 | no | — |
| 177 | #1159 | — | 4 | 2 | no | — |
| 178 | #1157 | — | 4 | 2 | no | — |
| 179 | #1157 | — | 4 | 2 | no | — |
| 180 | C2×D28 | — | 2 | 1 | no | — |
| 181 | C2×D28 | — | 2 | 1 | no | — |
| 182 | C2×D28 | — | 2 | 1 | no | — |
| 183 | C2×D28 | — | 2 | 1 | no | — |
| 184 | C2×D28 | — | 4 | 1 | no | — |
| 185 | C2×D28 | C2×D4 | 1 | 1 | yes | characteristic |
| 186 | C2×C4×D7 | — | 2 | 1 | no | — |
| 187 | C2×C4×D7 | — | 4 | 1 | no | — |
| 188 | C2×C4×D7 | C2×D4 | 1 | 1 | yes | characteristic |
| 189 | C2×C4×D7 | C2×D4 | 1 | 1 | yes | characteristic |
| 190 | C2×C4×D7 | #41 | 1 | 1 | yes | characteristic |
| 191 | C2×Dic14 | — | 2 | 1 | no | — |
| 192 | C2×Dic14 | — | 2 | 1 | no | — |
| 193 | C7×SD16 | — | 4 | 2 | no | — |
| 194 | C7×SD16 | — | 4 | 2 | no | — |
| 195 | C7×D8 | — | 8 | 1 | no | — |
| 196 | C2×C7×C8 | — | 2 | 1 | no | — |
| 197 | C2×C7×C8 | — | 2 | 1 | no | — |
| 198 | C2×C7×C8 | — | 2 | 1 | no | — |
| 199 | C2×C7×C8 | — | 4 | 2 | no | — |
| 200 | C2×C7×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 201 | C2×C7×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 202 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 203 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 204 | C7×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 205 | C7×C22⋊C4 | — | 2 | 1 | no | — |
| 206 | C42×C7 | C24 | 1 | 1 | yes | characteristic |
| 207 | C22⋊Dic7 | — | 2 | 1 | no | — |
| 208 | C22⋊Dic7 | — | 4 | 1 | no | — |
| 209 | C22⋊Dic7 | — | 4 | 1 | no | — |
| 210 | #1144 | — | 4 | 2 | no | — |
| 211 | #1144 | — | 4 | 2 | no | — |
| 212 | #1141 | — | 4 | 2 | no | — |
| 213 | #1141 | — | 4 | 2 | no | — |
| 214 | #1141 | — | 8 | 1 | no | — |
| 215 | #1141 | — | 8 | 1 | no | — |
| 216 | (C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 217 | (C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 218 | (C2×D7)⋊C4 | — | 4 | 1 | no | — |
| 219 | (C2×D7)⋊C4 | — | 4 | 1 | no | — |
| 220 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 221 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 222 | C4⋊Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 223 | Dic7⋊C4 | — | 2 | 1 | no | — |
| 224 | C4×Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 225 | C4×Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 226 | C4×Dic7 | #41 | 1 | 1 | yes | characteristic |
| 227 | #1136 | — | 4 | 2 | no | — |
| 228 | C2×C7⋊C8 | — | 2 | 1 | no | — |
| 229 | C2×C7⋊C8 | — | 2 | 1 | no | — |
| 230 | C2×C7⋊C8 | — | 2 | 1 | no | — |
| 231 | C2×C7⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 232 | C2×C7⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 233 | D56 | — | 8 | 1 | no | — |
| 234 | #1132 | — | 4 | 2 | no | — |
| 235 | #1132 | — | 4 | 2 | no | — |
| 236 | #1131 | — | 4 | 2 | no | — |
| 237 | #1131 | — | 4 | 2 | no | — |
| 238 | C8×D7 | — | 2 | 2 | no | — |
| 239 | C8×D7 | — | 4 | 2 | no | — |
| 240 | C8×D7 | — | 8 | 1 | no | — |
| 241 | C8×D7 | — | 8 | 1 | no | — |
| 242 | C8×D7 | D8 | 1 | 4 | yes | complemented |
| 243 | C2×#135 | — | 14 | 1 | no | — |
| 244 | C2×#135 | — | 14 | 1 | no | — |
| 245 | C2×#131 | — | 14 | 1 | no | — |
| 246 | #532 | — | 7 | 1 | no | — |
| 247 | #532 | — | 7 | 1 | no | — |
| 248 | #532 | — | 7 | 1 | no | — |
| 249 | #495 | — | 14 | 1 | no | — |
| 250 | #495 | — | 14 | 1 | no | — |
| 251 | #494 | — | 7 | 1 | no | — |
| 252 | #493 | — | 7 | 1 | no | — |
| 253 | #492 | — | 7 | 1 | no | — |
| 254 | #492 | C2×D7 | 1 | 1 | yes | characteristic |
| 255 | #474 | — | 7 | 1 | no | — |
| 256 | #474 | — | 7 | 1 | no | — |
| 257 | #474 | — | 7 | 1 | no | — |
| 258 | #474 | — | 14 | 1 | no | — |
| 259 | #474 | — | 14 | 1 | no | — |
| 260 | #474 | C2×D7 | 1 | 1 | yes | characteristic |
| 261 | #466 | — | 14 | 1 | no | — |
| 262 | #466 | — | 14 | 1 | no | — |
| 263 | #466 | — | 14 | 1 | no | — |
| 264 | #466 | — | 14 | 1 | no | — |
| 265 | #459 | — | 7 | 1 | no | — |
| 266 | #459 | — | 7 | 1 | no | — |
| 267 | #459 | — | 7 | 1 | no | — |
| 268 | #459 | — | 14 | 1 | no | — |
| 269 | #459 | — | 14 | 1 | no | — |
| 270 | #459 | C2×D7 | 1 | 1 | yes | characteristic |
| 271 | #436 | — | 7 | 1 | no | — |
| 272 | #436 | — | 7 | 1 | no | — |
| 273 | #436 | — | 14 | 1 | no | — |
| 274 | C8×D4 | — | 7 | 1 | no | — |
| 275 | C8×D4 | — | 14 | 1 | no | — |
| 276 | C8×D4 | C2×D7 | 1 | 1 | yes | characteristic |
| 277 | #423 | — | 7 | 1 | no | — |
| 278 | C2×C4⋊C8 | — | 7 | 1 | no | — |
| 279 | C2×C4⋊C8 | — | 7 | 1 | no | — |
| 280 | #408 | — | 14 | 1 | no | — |
| 281 | C2×C4×C8 | — | 7 | 1 | no | — |
| 282 | #334 | — | 7 | 1 | no | — |
| 283 | #334 | — | 7 | 1 | no | — |
| 284 | #334 | — | 7 | 1 | no | — |
| 285 | #334 | C2×D7 | 1 | 1 | yes | characteristic |
| 286 | #332 | — | 7 | 1 | no | — |
| 287 | #332 | — | 7 | 1 | no | — |
| 288 | #332 | — | 7 | 1 | no | — |
| 289 | #332 | C2×D7 | 1 | 1 | yes | characteristic |
| 290 | #331 | — | 7 | 1 | no | — |
| 291 | #331 | — | 7 | 1 | no | — |
| 292 | #331 | — | 7 | 1 | no | — |
| 293 | #331 | C2×D7 | 1 | 1 | yes | characteristic |
| 294 | C23×C7 | — | 2 | 1 | no | — |
| 295 | C23×C7 | — | 4 | 1 | no | — |
| 296 | C22×D7 | — | 2 | 1 | no | — |
| 297 | C22×D7 | — | 4 | 1 | no | — |
| 298 | C22×D7 | #121 | 1 | 1 | yes | characteristic |
| 299 | C7×Q8 | — | 4 | 1 | no | — |
| 300 | C7×Q8 | — | 4 | 1 | no | — |
| 301 | C7×D4 | — | 2 | 1 | no | — |
| 302 | C7×D4 | — | 2 | 1 | no | — |
| 303 | C7×D4 | — | 4 | 1 | no | — |
| 304 | C7×D4 | — | 4 | 1 | no | — |
| 305 | C7×D4 | — | 4 | 1 | no | — |
| 306 | C7×D4 | — | 4 | 1 | no | — |
| 307 | C7×D4 | — | 8 | 1 | no | — |
| 308 | C2×C4×C7 | — | 2 | 1 | no | — |
| 309 | C2×C4×C7 | — | 4 | 1 | no | — |
| 310 | C2×C4×C7 | — | 4 | 1 | no | — |
| 311 | C2×C4×C7 | — | 4 | 1 | no | — |
| 312 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 313 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 314 | C2×C4×C7 | C2×#41 | 1 | 1 | yes | characteristic |
| 315 | C22⋊D7 | — | 4 | 2 | no | — |
| 316 | C22⋊D7 | — | 4 | 2 | no | — |
| 317 | C22⋊D7 | — | 4 | 2 | no | — |
| 318 | C22⋊D7 | — | 8 | 2 | no | — |
| 319 | C2×Dic7 | — | 2 | 1 | no | — |
| 320 | C2×Dic7 | — | 4 | 1 | no | — |
| 321 | C2×Dic7 | — | 8 | 2 | no | — |
| 322 | C2×Dic7 | #121 | 1 | 1 | yes | characteristic |
| 323 | C2×Dic7 | #121 | 1 | 1 | yes | characteristic |
| 324 | C2×Dic7 | #121 | 1 | 1 | yes | characteristic |
| 325 | D28 | — | 2 | 1 | no | — |
| 326 | D28 | — | 2 | 1 | no | — |
| 327 | D28 | — | 4 | 2 | no | — |
| 328 | D28 | — | 4 | 1 | no | — |
| 329 | D28 | — | 4 | 1 | no | — |
| 330 | D28 | — | 4 | 1 | no | — |
| 331 | D28 | — | 4 | 1 | no | — |
| 332 | D28 | — | 8 | 1 | no | — |
| 333 | D28 | — | 8 | 2 | no | — |
| 334 | C4×D7 | — | 2 | 1 | no | — |
| 335 | C4×D7 | — | 2 | 1 | no | — |
| 336 | C4×D7 | — | 4 | 1 | no | — |
| 337 | C4×D7 | — | 4 | 1 | no | — |
| 338 | C4×D7 | — | 4 | 1 | no | — |
| 339 | C4×D7 | — | 8 | 2 | no | — |
| 340 | C4×D7 | C2×D8 | 1 | 2 | yes | — |
| 341 | C4×D7 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 342 | Dic14 | — | 4 | 2 | no | — |
| 343 | Dic14 | — | 4 | 1 | no | — |
| 344 | Dic14 | — | 4 | 1 | no | — |
| 345 | C7×C8 | — | 2 | 1 | no | — |
| 346 | C7×C8 | — | 4 | 1 | no | — |
| 347 | C7×C8 | — | 4 | 1 | no | — |
| 348 | C7×C8 | — | 4 | 1 | no | — |
| 349 | C7×C8 | C2×D8 | 1 | 2 | yes | — |
| 350 | C7⋊C8 | — | 2 | 1 | no | — |
| 351 | C7⋊C8 | — | 4 | 1 | no | — |
| 352 | C7⋊C8 | — | 4 | 1 | no | — |
| 353 | C7⋊C8 | — | 4 | 1 | no | — |
| 354 | C7⋊C8 | C2×D8 | 1 | 2 | yes | — |
| 355 | C2×#41 | — | 14 | 1 | no | — |
| 356 | C2×#41 | — | 14 | 1 | no | — |
| 357 | C2×#41 | — | 14 | 1 | no | — |
| 358 | #135 | — | 28 | 4 | no | — |
| 359 | #135 | — | 28 | 4 | no | — |
| 360 | C2×Q16 | — | 14 | 1 | no | — |
| 361 | C2×Q16 | — | 14 | 1 | no | — |
| 362 | C2×SD16 | — | 2 | 1 | no | — |
| 363 | C2×SD16 | — | 2 | 1 | no | — |
| 364 | C2×SD16 | — | 14 | 1 | no | — |
| 365 | C2×SD16 | — | 14 | 1 | no | — |
| 366 | C2×D8 | — | 2 | 1 | no | — |
| 367 | C2×D8 | — | 14 | 1 | no | — |
| 368 | C2×D8 | — | 14 | 1 | no | — |
| 369 | C2×D8 | — | 14 | 1 | no | — |
| 370 | C2×D8 | — | 14 | 1 | no | — |
| 371 | C2×D8 | — | 14 | 1 | no | — |
| 372 | #131 | — | 28 | 4 | no | — |
| 373 | C2×M16 | — | 14 | 1 | no | — |
| 374 | C2×M16 | — | 14 | 1 | no | — |
| 375 | C2×M16 | — | 14 | 1 | no | — |
| 376 | C22×C8 | — | 2 | 1 | no | — |
| 377 | C22×C8 | — | 7 | 1 | no | — |
| 378 | C22×C8 | — | 7 | 1 | no | — |
| 379 | C22×C8 | — | 14 | 1 | no | — |
| 380 | C22×C8 | — | 14 | 1 | no | — |
| 381 | C22×C8 | — | 14 | 1 | no | — |
| 382 | C4⋊Q8 | — | 7 | 1 | no | — |
| 383 | C4⋊Q8 | — | 7 | 1 | no | — |
| 384 | C4⋊Q8 | C22×D7 | 1 | 1 | yes | characteristic |
| 385 | #127 | — | 7 | 1 | no | — |
| 386 | #127 | — | 7 | 1 | no | — |
| 387 | #127 | C22×D7 | 1 | 1 | yes | characteristic |
| 388 | #124 | — | 14 | 1 | no | — |
| 389 | #124 | — | 14 | 1 | no | — |
| 390 | #124 | — | 14 | 1 | no | — |
| 391 | #121 | — | 7 | 1 | no | — |
| 392 | #121 | — | 7 | 1 | no | — |
| 393 | #121 | — | 14 | 1 | no | — |
| 394 | #121 | — | 14 | 1 | no | — |
| 395 | #121 | — | 14 | 1 | no | — |
| 396 | #121 | — | 14 | 1 | no | — |
| 397 | #121 | — | 14 | 1 | no | — |
| 398 | C4×D4 | — | 7 | 1 | no | — |
| 399 | C4×D4 | — | 14 | 1 | no | — |
| 400 | C4×D4 | — | 14 | 1 | no | — |
| 401 | C4×D4 | — | 14 | 1 | no | — |
| 402 | C4×D4 | — | 14 | 1 | no | — |
| 403 | C4×D4 | — | 14 | 1 | no | — |
| 404 | C4×D4 | C22×D7 | 1 | 1 | yes | characteristic |
| 405 | C2×C42 | — | 7 | 1 | no | — |
| 406 | #107 | — | 2 | 1 | no | — |
| 407 | #107 | — | 14 | 1 | no | — |
| 408 | #107 | — | 14 | 1 | no | — |
| 409 | #107 | — | 14 | 1 | no | — |
| 410 | C4⋊C8 | — | 7 | 1 | no | — |
| 411 | C4⋊C8 | — | 7 | 1 | no | — |
| 412 | C4⋊C8 | — | 7 | 1 | no | — |
| 413 | C4⋊C8 | — | 14 | 1 | no | — |
| 414 | C4⋊C8 | — | 14 | 1 | no | — |
| 415 | C4⋊C8 | — | 14 | 1 | no | — |
| 416 | C4⋊C8 | C22×D7 | 1 | 1 | yes | characteristic |
| 417 | C4⋊C8 | C22×D7 | 1 | 1 | yes | characteristic |
| 418 | C4⋊C8 | C22×D7 | 1 | 1 | yes | characteristic |
| 419 | #102 | — | 2 | 1 | no | — |
| 420 | #102 | — | 2 | 1 | no | — |
| 421 | #102 | — | 14 | 1 | no | — |
| 422 | #102 | — | 14 | 1 | no | — |
| 423 | #102 | — | 14 | 1 | no | — |
| 424 | #102 | — | 14 | 1 | no | — |
| 425 | #102 | — | 14 | 1 | no | — |
| 426 | #102 | — | 14 | 1 | no | — |
| 427 | C22⋊C8 | — | 2 | 1 | no | — |
| 428 | C22⋊C8 | — | 14 | 1 | no | — |
| 429 | C22⋊C8 | — | 14 | 1 | no | — |
| 430 | C22⋊C8 | — | 14 | 1 | no | — |
| 431 | C4×C8 | — | 7 | 1 | no | — |
| 432 | C4×C8 | — | 7 | 1 | no | — |
| 433 | C4×C8 | — | 7 | 1 | no | — |
| 434 | C4×C8 | C22×D7 | 1 | 1 | yes | characteristic |
| 435 | C22×C7 | — | 4 | 1 | no | — |
| 436 | C22×C7 | — | 4 | 1 | no | — |
| 437 | C22×C7 | — | 4 | 1 | no | — |
| 438 | C22×C7 | — | 8 | 1 | no | — |
| 439 | C22×C7 | — | 8 | 1 | no | — |
| 440 | C22×C7 | — | 8 | 1 | no | — |
| 441 | C22×C7 | C2×#121 | 1 | 1 | yes | characteristic |
| 442 | C2×D7 | — | 2 | 1 | no | — |
| 443 | C2×D7 | — | 2 | 1 | no | — |
| 444 | C2×D7 | — | 4 | 1 | no | — |
| 445 | C2×D7 | — | 4 | 1 | no | — |
| 446 | C2×D7 | — | 4 | 1 | no | — |
| 447 | C2×D7 | — | 8 | 1 | no | — |
| 448 | C2×D7 | — | 8 | 1 | no | — |
| 449 | C2×D7 | — | 8 | 1 | no | — |
| 450 | C2×D7 | #459 | 1 | 2 | yes | — |
| 451 | C4×C7 | — | 2 | 1 | no | — |
| 452 | C4×C7 | — | 4 | 1 | no | — |
| 453 | C4×C7 | — | 8 | 1 | no | — |
| 454 | C4×C7 | C22×D8 | 1 | 1 | yes | characteristic |
| 455 | C4×C7 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 456 | C4×C7 | #577 | 1 | 1 | yes | characteristic |
| 457 | C4×C7 | #577 | 1 | 1 | yes | characteristic |
| 458 | Dic7 | — | 2 | 1 | no | — |
| 459 | Dic7 | — | 2 | 1 | no | — |
| 460 | Dic7 | — | 4 | 1 | no | — |
| 461 | Dic7 | — | 8 | 1 | no | — |
| 462 | Dic7 | #459 | 1 | 2 | yes | — |
| 463 | #41 | — | 28 | 2 | no | — |
| 464 | #41 | — | 28 | 2 | no | — |
| 465 | #41 | — | 28 | 2 | no | — |
| 466 | #41 | — | 28 | 2 | no | — |
| 467 | #41 | — | 28 | 2 | no | — |
| 468 | #41 | — | 28 | 2 | no | — |
| 469 | C2×Q8 | — | 2 | 1 | no | — |
| 470 | C2×Q8 | — | 14 | 1 | no | — |
| 471 | C2×Q8 | — | 14 | 1 | no | — |
| 472 | C2×D4 | — | 2 | 1 | no | — |
| 473 | C2×D4 | — | 2 | 1 | no | — |
| 474 | C2×D4 | — | 2 | 1 | no | — |
| 475 | C2×D4 | — | 7 | 1 | no | — |
| 476 | C2×D4 | — | 14 | 1 | no | — |
| 477 | C2×D4 | — | 14 | 1 | no | — |
| 478 | C2×D4 | — | 14 | 1 | no | — |
| 479 | C2×D4 | — | 14 | 1 | no | — |
| 480 | C2×D4 | — | 14 | 1 | no | — |
| 481 | C2×D4 | — | 14 | 1 | no | — |
| 482 | C2×D4 | — | 14 | 1 | no | — |
| 483 | C2×D4 | — | 28 | 1 | no | — |
| 484 | C2×D4 | — | 28 | 1 | no | — |
| 485 | C2×D4 | D4×D7 | 1 | 1 | yes | characteristic |
| 486 | C22×C4 | — | 2 | 1 | no | — |
| 487 | C22×C4 | — | 7 | 1 | no | — |
| 488 | C22×C4 | — | 7 | 1 | no | — |
| 489 | C22×C4 | — | 7 | 1 | no | — |
| 490 | C22×C4 | — | 14 | 1 | no | — |
| 491 | C22×C4 | — | 28 | 1 | no | — |
| 492 | C22×C4 | — | 28 | 1 | no | — |
| 493 | Q16 | — | 28 | 2 | no | — |
| 494 | Q16 | — | 28 | 2 | no | — |
| 495 | SD16 | — | 4 | 2 | no | — |
| 496 | SD16 | — | 4 | 2 | no | — |
| 497 | SD16 | — | 28 | 2 | no | — |
| 498 | SD16 | — | 28 | 2 | no | — |
| 499 | D8 | — | 8 | 1 | no | — |
| 500 | D8 | — | 28 | 2 | no | — |
| 501 | D8 | — | 28 | 2 | no | — |
| 502 | D8 | — | 56 | 1 | no | — |
| 503 | D8 | — | 56 | 1 | no | — |
| 504 | D8 | — | 56 | 1 | no | — |
| 505 | M16 | — | 28 | 2 | no | — |
| 506 | M16 | — | 28 | 2 | no | — |
| 507 | M16 | — | 28 | 2 | no | — |
| 508 | C2×C8 | — | 2 | 1 | no | — |
| 509 | C2×C8 | — | 2 | 1 | no | — |
| 510 | C2×C8 | — | 2 | 1 | no | — |
| 511 | C2×C8 | — | 4 | 2 | no | — |
| 512 | C2×C8 | — | 7 | 1 | no | — |
| 513 | C2×C8 | — | 7 | 4 | no | — |
| 514 | C2×C8 | — | 7 | 1 | no | — |
| 515 | C2×C8 | — | 14 | 2 | no | — |
| 516 | C2×C8 | — | 14 | 1 | no | — |
| 517 | C2×C8 | — | 14 | 1 | no | — |
| 518 | C2×C8 | — | 14 | 1 | no | — |
| 519 | C2×C8 | — | 28 | 2 | no | — |
| 520 | C2×C8 | — | 56 | 1 | no | — |
| 521 | C2×C8 | — | 56 | 1 | no | — |
| 522 | C2×C8 | D4×D7 | 1 | 1 | yes | characteristic |
| 523 | C2×C8 | D4×D7 | 1 | 1 | yes | characteristic |
| 524 | C4⋊C4 | — | 2 | 1 | no | — |
| 525 | C4⋊C4 | — | 2 | 1 | no | — |
| 526 | C4⋊C4 | — | 7 | 1 | no | — |
| 527 | C4⋊C4 | — | 14 | 1 | no | — |
| 528 | C4⋊C4 | — | 14 | 1 | no | — |
| 529 | C4⋊C4 | — | 14 | 1 | no | — |
| 530 | C4⋊C4 | D4×D7 | 1 | 1 | yes | characteristic |
| 531 | C22⋊C4 | — | 2 | 1 | no | — |
| 532 | C22⋊C4 | — | 14 | 1 | no | — |
| 533 | C22⋊C4 | — | 14 | 1 | no | — |
| 534 | C22⋊C4 | — | 14 | 1 | no | — |
| 535 | C22⋊C4 | — | 28 | 1 | no | — |
| 536 | C22⋊C4 | — | 28 | 1 | no | — |
| 537 | C22⋊C4 | — | 28 | 1 | no | — |
| 538 | C22⋊C4 | — | 28 | 1 | no | — |
| 539 | C42 | — | 7 | 1 | no | — |
| 540 | C42 | — | 7 | 1 | no | — |
| 541 | C42 | — | 7 | 1 | no | — |
| 542 | C42 | C23×D7 | 1 | 1 | yes | characteristic |
| 543 | C2×C7 | — | 8 | 1 | no | — |
| 544 | C2×C7 | — | 16 | 1 | no | — |
| 545 | C2×C7 | C2×#459 | 1 | 1 | yes | characteristic |
| 546 | C2×C7 | #3060 | 1 | 1 | yes | characteristic |
| 547 | C2×C7 | #3067 | 1 | 1 | yes | characteristic |
| 548 | D7 | — | 2 | 2 | no | — |
| 549 | D7 | — | 8 | 1 | no | — |
| 550 | D7 | — | 16 | 1 | no | — |
| 551 | C23 | — | 2 | 1 | no | — |
| 552 | C23 | — | 4 | 1 | no | — |
| 553 | C23 | — | 7 | 1 | no | — |
| 554 | C23 | — | 14 | 1 | no | — |
| 555 | C23 | — | 28 | 1 | no | — |
| 556 | Q8 | — | 4 | 1 | no | — |
| 557 | Q8 | — | 4 | 1 | no | — |
| 558 | Q8 | — | 28 | 2 | no | — |
| 559 | Q8 | — | 28 | 1 | no | — |
| 560 | Q8 | — | 28 | 1 | no | — |
| 561 | D4 | — | 2 | 1 | no | — |
| 562 | D4 | — | 2 | 1 | no | — |
| 563 | D4 | — | 4 | 1 | no | — |
| 564 | D4 | — | 4 | 1 | no | — |
| 565 | D4 | — | 4 | 1 | no | — |
| 566 | D4 | — | 4 | 1 | no | — |
| 567 | D4 | — | 8 | 1 | no | — |
| 568 | D4 | — | 14 | 1 | no | — |
| 569 | D4 | — | 14 | 1 | no | — |
| 570 | D4 | — | 28 | 2 | no | — |
| 571 | D4 | — | 28 | 2 | no | — |
| 572 | D4 | — | 28 | 2 | no | — |
| 573 | D4 | — | 28 | 2 | no | — |
| 574 | D4 | — | 28 | 1 | no | — |
| 575 | D4 | — | 28 | 1 | no | — |
| 576 | D4 | — | 28 | 1 | no | — |
| 577 | D4 | — | 28 | 1 | no | — |
| 578 | D4 | — | 56 | 1 | no | — |
| 579 | D4 | — | 56 | 2 | no | — |
| 580 | D4 | — | 56 | 2 | no | — |
| 581 | C2×C4 | — | 2 | 1 | no | — |
| 582 | C2×C4 | — | 4 | 1 | no | — |
| 583 | C2×C4 | — | 4 | 1 | no | — |
| 584 | C2×C4 | — | 4 | 1 | no | — |
| 585 | C2×C4 | — | 7 | 1 | no | — |
| 586 | C2×C4 | — | 7 | 2 | no | — |
| 587 | C2×C4 | — | 7 | 2 | no | — |
| 588 | C2×C4 | — | 7 | 1 | no | — |
| 589 | C2×C4 | — | 7 | 1 | no | — |
| 590 | C2×C4 | — | 14 | 1 | no | — |
| 591 | C2×C4 | — | 14 | 1 | no | — |
| 592 | C2×C4 | — | 14 | 1 | no | — |
| 593 | C2×C4 | — | 28 | 1 | no | — |
| 594 | C2×C4 | — | 28 | 1 | no | — |
| 595 | C2×C4 | — | 28 | 1 | no | — |
| 596 | C2×C4 | — | 28 | 1 | no | — |
| 597 | C2×C4 | — | 56 | 2 | no | — |
| 598 | C2×C4 | — | 56 | 2 | no | — |
| 599 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 600 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 601 | C2×C4 | D7×#41 | 1 | 1 | yes | characteristic |
| 602 | C8 | — | 2 | 1 | no | — |
| 603 | C8 | — | 4 | 1 | no | — |
| 604 | C8 | — | 4 | 1 | no | — |
| 605 | C8 | — | 4 | 1 | no | — |
| 606 | C8 | — | 7 | 2 | no | — |
| 607 | C8 | — | 14 | 1 | no | — |
| 608 | C8 | — | 28 | 1 | no | — |
| 609 | C8 | — | 28 | 1 | no | — |
| 610 | C8 | — | 28 | 1 | no | — |
| 611 | C8 | D7×D8 | 1 | 2 | yes | — |
| 612 | C7 | #19189 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 613 | C22 | — | 4 | 1 | no | — |
| 614 | C22 | — | 4 | 1 | no | — |
| 615 | C22 | — | 4 | 1 | no | — |
| 616 | C22 | — | 7 | 2 | no | — |
| 617 | C22 | — | 8 | 1 | no | — |
| 618 | C22 | — | 8 | 1 | no | — |
| 619 | C22 | — | 8 | 1 | no | — |
| 620 | C22 | — | 14 | 1 | no | — |
| 621 | C22 | — | 14 | 1 | no | — |
| 622 | C22 | — | 28 | 1 | no | — |
| 623 | C22 | — | 28 | 1 | no | — |
| 624 | C22 | — | 28 | 1 | no | — |
| 625 | C22 | — | 56 | 1 | no | — |
| 626 | C22 | — | 56 | 1 | no | — |
| 627 | C22 | — | 56 | 1 | no | — |
| 628 | C22 | D7×#121 | 1 | 1 | yes | characteristic |
| 629 | C4 | — | 2 | 1 | no | — |
| 630 | C4 | — | 4 | 1 | no | — |
| 631 | C4 | — | 7 | 2 | no | — |
| 632 | C4 | — | 8 | 1 | no | — |
| 633 | C4 | — | 14 | 1 | no | — |
| 634 | C4 | — | 14 | 1 | no | — |
| 635 | C4 | — | 28 | 1 | no | — |
| 636 | C4 | — | 56 | 1 | no | — |
| 637 | C4 | C2×D7×D8 | 1 | 1 | yes | characteristic |
| 638 | C4 | #90453 | 1 | 1 | yes | characteristic |
| 639 | C4 | #90461 | 1 | 1 | yes | characteristic |
| 640 | C4 | D7×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 641 | C2 | — | 8 | 1 | no | — |
| 642 | C2 | — | 14 | 2 | no | — |
| 643 | C2 | — | 16 | 1 | no | — |
| 644 | C2 | — | 56 | 1 | no | — |
| 645 | C2 | — | 112 | 1 | no | — |
| 646 | C2 | D7×#459 | 1 | 1 | yes | characteristic |
| 647 | C2 | #11738105 | 1 | 1 | yes | characteristic |
| 648 | C2 | #11738374 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta