| 1 | C7×#3009 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#90013 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #11741544 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×#89975 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11740850 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11736265 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11729854 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11729810 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11729806 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #11729617 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #11728077 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #11728071 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #11728046 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #11727757 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #11727750 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×C7×H(5,𝔽2) | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×C7×#137 | C22 | 1 | 1 | yes | characteristic |
| 18 | C22×C7×SD16 | C22 | 1 | 1 | yes | characteristic |
| 19 | C7×#536 | C22 | 1 | 1 | yes | characteristic |
| 20 | #90518 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×#6512 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×#6512 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×#6511 | C22 | 1 | 1 | yes | characteristic |
| 24 | C22×#1143 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | C2×#6503 | C22 | 1 | 1 | yes | characteristic |
| 26 | #90212 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | C7×#452 | — | 2 | 1 | no | — |
| 28 | C7×#452 | — | 2 | 1 | no | — |
| 29 | C7×#450 | — | 2 | 1 | no | — |
| 30 | C7×#450 | — | 2 | 1 | no | — |
| 31 | C7×#418 | C22 | 1 | 1 | yes | characteristic |
| 32 | C7×#416 | C22 | 1 | 1 | yes | characteristic |
| 33 | C7×#408 | C22 | 1 | 1 | yes | characteristic |
| 34 | #90013 | — | 2 | 4 | no | — |
| 35 | C2×#6411 | C22 | 1 | 1 | yes | characteristic |
| 36 | C2×#6411 | C22 | 1 | 1 | yes | characteristic |
| 37 | #90005 | — | 2 | 1 | no | — |
| 38 | #90005 | C22 | 1 | 1 | yes | characteristic |
| 39 | #90004 | — | 2 | 1 | no | — |
| 40 | #90004 | C22 | 1 | 1 | yes | characteristic |
| 41 | #90002 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | C2×#6410 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | #89997 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | C2×#6407 | C22 | 1 | 1 | yes | characteristic |
| 45 | #89987 | — | 2 | 1 | no | — |
| 46 | #89987 | C22 | 1 | 1 | yes | characteristic |
| 47 | C2×#6406 | — | 2 | 1 | no | — |
| 48 | C2×#6406 | C22 | 1 | 1 | yes | characteristic |
| 49 | #89975 | — | 2 | 4 | no | — |
| 50 | C2×#6397 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | C2×#6396 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | C2×#6395 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | C2×#6393 | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | #89873 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | #89855 | — | 2 | 1 | no | — |
| 56 | #89855 | — | 2 | 1 | no | — |
| 57 | #89829 | — | 2 | 1 | no | — |
| 58 | #89829 | — | 2 | 1 | no | — |
| 59 | #89771 | C22 | 1 | 1 | yes | characteristic, complemented |
| 60 | #89767 | C22 | 1 | 1 | yes | characteristic, complemented |
| 61 | #89589 | — | 2 | 1 | no | — |
| 62 | #89560 | — | 2 | 1 | no | — |
| 63 | #89557 | — | 2 | 1 | no | — |
| 64 | #89528 | — | 2 | 1 | no | — |
| 65 | #89350 | C22 | 1 | 1 | yes | characteristic, complemented |
| 66 | #89349 | C22 | 1 | 1 | yes | characteristic, complemented |
| 67 | #89345 | C22 | 1 | 1 | yes | characteristic, complemented |
| 68 | #89327 | C22 | 1 | 1 | yes | characteristic, complemented |
| 69 | #25187 | — | 7 | 1 | no | maximal, Sylow |
| 70 | C7×H(5,𝔽2) | — | 2 | 2 | no | — |
| 71 | C7×H(5,𝔽2) | — | 2 | 2 | no | — |
| 72 | C7×H(5,𝔽2) | — | 2 | 2 | no | — |
| 73 | C7×H(5,𝔽2) | — | 4 | 1 | no | — |
| 74 | C2×C7×#41 | — | 2 | 1 | no | — |
| 75 | C2×C7×#41 | — | 2 | 1 | no | — |
| 76 | C2×C7×#41 | C23 | 1 | 1 | yes | characteristic |
| 77 | C2×C7×#41 | C23 | 1 | 1 | yes | characteristic |
| 78 | C22×C7×Q8 | C23 | 1 | 1 | yes | characteristic |
| 79 | C22×C7×D4 | — | 2 | 1 | no | — |
| 80 | C22×C7×D4 | — | 2 | 1 | no | — |
| 81 | C22×C7×D4 | — | 4 | 1 | no | — |
| 82 | C22×C7×D4 | C23 | 1 | 1 | yes | characteristic |
| 83 | C22×C22⋊D7 | — | 4 | 1 | no | — |
| 84 | C22×D28 | C23 | 1 | 1 | yes | characteristic |
| 85 | C7×#137 | — | 2 | 2 | no | — |
| 86 | C7×#137 | — | 2 | 2 | no | — |
| 87 | C2×C7×Q16 | — | 2 | 1 | no | — |
| 88 | C2×C7×SD16 | — | 2 | 1 | no | — |
| 89 | C2×C7×SD16 | — | 2 | 2 | no | — |
| 90 | C2×C7×SD16 | — | 2 | 1 | no | — |
| 91 | C2×C7×SD16 | — | 2 | 1 | no | — |
| 92 | C2×C7×SD16 | — | 4 | 1 | no | — |
| 93 | C2×C7×M16 | C23 | 1 | 1 | yes | characteristic |
| 94 | C22×C7×C8 | C23 | 1 | 1 | yes | characteristic |
| 95 | C7×C4⋊Q8 | — | 2 | 1 | no | — |
| 96 | C7×#124 | — | 2 | 1 | no | — |
| 97 | C7×#123 | — | 4 | 1 | no | — |
| 98 | C7×C22⋊Q8 | — | 2 | 1 | no | — |
| 99 | C7×C22⋊Q8 | — | 2 | 1 | no | — |
| 100 | C7×#117 | C23 | 1 | 1 | yes | characteristic |
| 101 | #6512 | — | 2 | 2 | no | — |
| 102 | #6512 | — | 2 | 2 | no | — |
| 103 | #6512 | — | 4 | 1 | no | — |
| 104 | #6512 | D4 | 1 | 4 | yes | — |
| 105 | #6511 | — | 2 | 2 | no | — |
| 106 | #6511 | — | 4 | 1 | no | — |
| 107 | Q8×Dic7 | — | 2 | 1 | no | — |
| 108 | C2×#1143 | — | 2 | 1 | no | — |
| 109 | C2×#1143 | — | 2 | 1 | no | — |
| 110 | C2×#1143 | — | 2 | 2 | no | — |
| 111 | C2×#1143 | — | 2 | 1 | no | — |
| 112 | C2×#1143 | — | 2 | 1 | no | — |
| 113 | C2×#1143 | — | 4 | 1 | no | — |
| 114 | #6503 | — | 2 | 2 | no | — |
| 115 | #6503 | — | 2 | 2 | no | — |
| 116 | D4×Dic7 | — | 2 | 1 | no | — |
| 117 | D4×Dic7 | — | 4 | 1 | no | — |
| 118 | C2×#1141 | — | 2 | 1 | no | — |
| 119 | C2×#1141 | — | 2 | 1 | no | — |
| 120 | #6489 | — | 2 | 1 | no | — |
| 121 | #6489 | C23 | 1 | 1 | yes | characteristic |
| 122 | C2×C4⋊Dic7 | — | 2 | 1 | no | — |
| 123 | C2×C4⋊Dic7 | C23 | 1 | 1 | yes | characteristic |
| 124 | C2×C4×Dic7 | C23 | 1 | 1 | yes | characteristic |
| 125 | C2×#1136 | — | 2 | 1 | no | — |
| 126 | C2×#1136 | C23 | 1 | 1 | yes | characteristic |
| 127 | C2×#1136 | C23 | 1 | 1 | yes | characteristic |
| 128 | C2×#1136 | C23 | 1 | 1 | yes | characteristic |
| 129 | C22×C7⋊C8 | — | 2 | 1 | no | — |
| 130 | C22×C7⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 131 | #6456 | — | 2 | 1 | no | — |
| 132 | #6456 | — | 2 | 1 | no | — |
| 133 | D7×C22⋊C4 | — | 4 | 1 | no | — |
| 134 | C4×D28 | — | 2 | 1 | no | — |
| 135 | C4×D28 | — | 2 | 1 | no | — |
| 136 | C7×#103 | D4 | 1 | 1 | yes | characteristic, complemented |
| 137 | C7×#103 | D4 | 1 | 1 | yes | characteristic, complemented |
| 138 | C7×#102 | — | 2 | 1 | no | — |
| 139 | C7×#102 | — | 2 | 1 | no | — |
| 140 | C7×#102 | D4 | 1 | 1 | yes | characteristic, complemented |
| 141 | C7×#102 | D4 | 1 | 1 | yes | characteristic, complemented |
| 142 | C7×C22⋊C8 | — | 2 | 1 | no | — |
| 143 | C7×C22⋊C8 | — | 2 | 1 | no | — |
| 144 | #6411 | — | 2 | 2 | no | — |
| 145 | #6411 | — | 2 | 2 | no | — |
| 146 | #6410 | — | 2 | 2 | no | — |
| 147 | #6409 | — | 2 | 1 | no | — |
| 148 | #6409 | — | 2 | 1 | no | — |
| 149 | #6409 | — | 2 | 1 | no | — |
| 150 | #6409 | D4 | 1 | 1 | yes | characteristic, complemented |
| 151 | #6409 | D4 | 1 | 1 | yes | characteristic, complemented |
| 152 | #6407 | — | 2 | 2 | no | — |
| 153 | #6406 | — | 2 | 1 | no | — |
| 154 | #6406 | — | 2 | 1 | no | — |
| 155 | #6406 | — | 2 | 1 | no | — |
| 156 | #6406 | — | 2 | 1 | no | — |
| 157 | #6406 | — | 2 | 1 | no | — |
| 158 | #6406 | D4 | 1 | 1 | yes | characteristic, complemented |
| 159 | #6406 | D4 | 1 | 1 | yes | characteristic, complemented |
| 160 | C7⋊#95 | — | 4 | 1 | no | — |
| 161 | #6397 | — | 2 | 2 | no | — |
| 162 | #6396 | — | 2 | 2 | no | — |
| 163 | #6395 | — | 2 | 1 | no | — |
| 164 | #6395 | — | 2 | 1 | no | — |
| 165 | #6393 | — | 4 | 1 | no | — |
| 166 | #6389 | — | 2 | 1 | no | — |
| 167 | C8×Dic7 | — | 2 | 1 | no | — |
| 168 | #6382 | — | 2 | 1 | no | — |
| 169 | #6381 | — | 2 | 1 | no | — |
| 170 | C4⋊(C7⋊C8) | — | 2 | 1 | no | — |
| 171 | C4⋊(C7⋊C8) | — | 2 | 1 | no | — |
| 172 | C2×#471 | — | 7 | 1 | no | — |
| 173 | #3042 | — | 7 | 1 | no | — |
| 174 | C2×#453 | — | 7 | 1 | no | — |
| 175 | #3009 | D7 | 1 | 1 | yes | characteristic, complemented |
| 176 | #2946 | — | 7 | 1 | no | — |
| 177 | #2897 | — | 7 | 1 | no | — |
| 178 | #2063 | — | 7 | 1 | no | — |
| 179 | #2051 | — | 7 | 1 | no | — |
| 180 | #2038 | — | 7 | 1 | no | — |
| 181 | #2014 | — | 7 | 1 | no | — |
| 182 | #1977 | — | 7 | 1 | no | — |
| 183 | #1929 | — | 7 | 1 | no | — |
| 184 | #1887 | — | 7 | 1 | no | — |
| 185 | #1882 | — | 7 | 1 | no | — |
| 186 | #1866 | — | 7 | 1 | no | — |
| 187 | C24×C7 | — | 2 | 1 | no | — |
| 188 | C24×C7 | — | 4 | 1 | no | — |
| 189 | C23×D7 | — | 2 | 1 | no | — |
| 190 | C7×#41 | — | 2 | 1 | no | — |
| 191 | C7×#41 | — | 2 | 1 | no | — |
| 192 | C7×#41 | — | 2 | 4 | no | — |
| 193 | C7×#41 | — | 2 | 1 | no | — |
| 194 | C7×#41 | — | 2 | 1 | no | — |
| 195 | C7×#41 | — | 2 | 1 | no | — |
| 196 | C7×#41 | — | 2 | 1 | no | — |
| 197 | C7×#41 | — | 4 | 2 | no | — |
| 198 | C7×#41 | — | 4 | 2 | no | — |
| 199 | C7×#41 | — | 4 | 2 | no | — |
| 200 | C7×#41 | C2×D4 | 1 | 2 | yes | — |
| 201 | C7×#41 | #41 | 1 | 2 | yes | — |
| 202 | C2×C7×Q8 | — | 2 | 1 | no | — |
| 203 | C2×C7×Q8 | — | 2 | 1 | no | — |
| 204 | C2×C7×Q8 | — | 2 | 1 | no | — |
| 205 | C2×C7×Q8 | — | 2 | 1 | no | — |
| 206 | C2×C7×Q8 | — | 2 | 1 | no | — |
| 207 | C2×C7×Q8 | — | 2 | 1 | no | — |
| 208 | C2×C7×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 209 | C2×C7×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 210 | C2×C7×D4 | — | 2 | 1 | no | — |
| 211 | C2×C7×D4 | — | 2 | 4 | no | — |
| 212 | C2×C7×D4 | — | 2 | 1 | no | — |
| 213 | C2×C7×D4 | — | 2 | 1 | no | — |
| 214 | C2×C7×D4 | — | 2 | 1 | no | — |
| 215 | C2×C7×D4 | — | 2 | 1 | no | — |
| 216 | C2×C7×D4 | — | 2 | 1 | no | — |
| 217 | C2×C7×D4 | — | 2 | 1 | no | — |
| 218 | C2×C7×D4 | — | 4 | 2 | no | — |
| 219 | C2×C7×D4 | — | 4 | 1 | no | — |
| 220 | C2×C7×D4 | — | 4 | 1 | no | — |
| 221 | C2×C7×D4 | — | 4 | 2 | no | — |
| 222 | C2×C7×D4 | — | 4 | 4 | no | — |
| 223 | C2×C7×D4 | — | 4 | 4 | no | — |
| 224 | C2×C7×D4 | — | 4 | 2 | no | — |
| 225 | C2×C7×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 226 | C2×C7×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 227 | C2×C7×D4 | #41 | 1 | 2 | yes | — |
| 228 | C22×C4×C7 | — | 2 | 1 | no | — |
| 229 | C22×C4×C7 | — | 2 | 1 | no | — |
| 230 | C22×C4×C7 | — | 2 | 1 | no | — |
| 231 | C22×C4×C7 | — | 4 | 1 | no | — |
| 232 | C22×C4×C7 | C24 | 1 | 1 | yes | characteristic |
| 233 | C2×C22⋊D7 | — | 4 | 4 | no | — |
| 234 | C2×C22⋊D7 | — | 8 | 2 | no | — |
| 235 | C2×C22⋊D7 | — | 8 | 2 | no | — |
| 236 | C22×Dic7 | — | 2 | 1 | no | — |
| 237 | C22×Dic7 | — | 2 | 1 | no | — |
| 238 | C22×Dic7 | — | 4 | 1 | no | — |
| 239 | C2×D28 | — | 2 | 1 | no | — |
| 240 | C2×D28 | — | 2 | 1 | no | — |
| 241 | C2×D28 | — | 2 | 1 | no | — |
| 242 | C2×D28 | — | 2 | 1 | no | — |
| 243 | C2×D28 | — | 2 | 1 | no | — |
| 244 | C2×D28 | C2×D4 | 1 | 2 | yes | — |
| 245 | C2×C4×D7 | — | 4 | 1 | no | — |
| 246 | C2×C4×D7 | — | 4 | 1 | no | — |
| 247 | C7×Q16 | — | 4 | 2 | no | — |
| 248 | C7×SD16 | — | 4 | 2 | no | — |
| 249 | C7×SD16 | — | 4 | 2 | no | — |
| 250 | C7×SD16 | — | 4 | 2 | no | — |
| 251 | C7×M16 | — | 2 | 1 | no | — |
| 252 | C7×M16 | — | 2 | 1 | no | — |
| 253 | C2×C7×C8 | — | 2 | 1 | no | — |
| 254 | C2×C7×C8 | — | 2 | 1 | no | — |
| 255 | C2×C7×C8 | — | 2 | 1 | no | — |
| 256 | C2×C7×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 257 | C2×C7×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 258 | C7×C4⋊C4 | — | 4 | 1 | no | — |
| 259 | C7×C4⋊C4 | — | 4 | 1 | no | — |
| 260 | C7×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 261 | C7×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 262 | C7×C22⋊C4 | — | 2 | 1 | no | — |
| 263 | C7×C22⋊C4 | — | 4 | 1 | no | — |
| 264 | C7×C22⋊C4 | — | 4 | 1 | no | — |
| 265 | C42×C7 | — | 2 | 1 | no | — |
| 266 | C22⋊Dic7 | — | 2 | 1 | no | — |
| 267 | C22⋊Dic7 | — | 4 | 1 | no | — |
| 268 | #1143 | — | 2 | 4 | no | — |
| 269 | #1143 | — | 4 | 2 | no | — |
| 270 | #1143 | — | 4 | 2 | no | — |
| 271 | #1143 | — | 4 | 2 | no | — |
| 272 | #1141 | — | 2 | 4 | no | — |
| 273 | #1141 | — | 4 | 2 | no | — |
| 274 | (C2×D7)⋊C4 | — | 4 | 1 | no | — |
| 275 | (C2×D7)⋊C4 | — | 4 | 1 | no | — |
| 276 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 277 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 278 | C4⋊Dic7 | — | 4 | 1 | no | — |
| 279 | C4⋊Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 280 | C4⋊Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 281 | C4×Dic7 | — | 2 | 1 | no | — |
| 282 | C4×Dic7 | — | 2 | 1 | no | — |
| 283 | C4×Dic7 | — | 2 | 1 | no | — |
| 284 | C4×Dic7 | — | 4 | 1 | no | — |
| 285 | #1136 | — | 2 | 1 | no | — |
| 286 | #1136 | — | 2 | 1 | no | — |
| 287 | #1136 | — | 2 | 1 | no | — |
| 288 | #1136 | — | 2 | 1 | no | — |
| 289 | #1136 | — | 2 | 1 | no | — |
| 290 | #1136 | — | 4 | 2 | no | — |
| 291 | #1136 | C2×D4 | 1 | 2 | yes | — |
| 292 | C2×C7⋊C8 | — | 2 | 1 | no | — |
| 293 | C2×C7⋊C8 | — | 2 | 1 | no | — |
| 294 | C2×C7⋊C8 | — | 2 | 1 | no | — |
| 295 | C2×C7⋊C8 | — | 2 | 1 | no | — |
| 296 | C2×C7⋊C8 | — | 2 | 1 | no | — |
| 297 | C2×C7⋊C8 | — | 4 | 2 | no | — |
| 298 | C2×C7⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 299 | C2×C7⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 300 | C2×H(5,𝔽2) | C2×D7 | 1 | 1 | yes | characteristic |
| 301 | C2×#137 | C2×D7 | 1 | 1 | yes | characteristic |
| 302 | C2×AGL(1,ℤ/8) | — | 7 | 1 | no | — |
| 303 | C2×AGL(1,ℤ/8) | — | 7 | 1 | no | — |
| 304 | C22×SD16 | — | 7 | 1 | no | — |
| 305 | C22×SD16 | C2×D7 | 1 | 1 | yes | characteristic |
| 306 | C2×#131 | — | 7 | 1 | no | — |
| 307 | #536 | C2×D7 | 1 | 1 | yes | characteristic |
| 308 | C2×#127 | — | 7 | 1 | no | — |
| 309 | #520 | — | 7 | 1 | no | — |
| 310 | #518 | — | 7 | 1 | no | — |
| 311 | #471 | — | 14 | 4 | no | — |
| 312 | #463 | — | 14 | 1 | no | — |
| 313 | #463 | — | 14 | 1 | no | — |
| 314 | #461 | — | 14 | 1 | no | — |
| 315 | #461 | — | 14 | 1 | no | — |
| 316 | #453 | — | 14 | 4 | no | — |
| 317 | #452 | — | 2 | 1 | no | — |
| 318 | #452 | — | 2 | 1 | no | — |
| 319 | #450 | — | 2 | 1 | no | — |
| 320 | #450 | — | 2 | 1 | no | — |
| 321 | #442 | — | 14 | 1 | no | — |
| 322 | #440 | — | 14 | 1 | no | — |
| 323 | C4×SD16 | — | 14 | 1 | no | — |
| 324 | C4×D8 | — | 14 | 1 | no | — |
| 325 | C2×#108 | — | 7 | 1 | no | — |
| 326 | C2×#108 | — | 7 | 1 | no | — |
| 327 | #428 | — | 7 | 1 | no | — |
| 328 | #424 | — | 7 | 1 | no | — |
| 329 | C2×#104 | — | 7 | 1 | no | — |
| 330 | C2×#104 | — | 7 | 1 | no | — |
| 331 | #419 | — | 7 | 1 | no | — |
| 332 | #418 | — | 7 | 1 | no | — |
| 333 | #418 | — | 14 | 1 | no | — |
| 334 | #418 | C2×D7 | 1 | 1 | yes | characteristic |
| 335 | #417 | — | 7 | 1 | no | — |
| 336 | #417 | — | 14 | 1 | no | — |
| 337 | #416 | — | 7 | 1 | no | — |
| 338 | #416 | — | 14 | 1 | no | — |
| 339 | #416 | C2×D7 | 1 | 1 | yes | characteristic |
| 340 | C2×#102 | — | 7 | 1 | no | — |
| 341 | C2×#102 | — | 7 | 1 | no | — |
| 342 | C2×#102 | — | 14 | 1 | no | — |
| 343 | C2×#101 | — | 7 | 1 | no | — |
| 344 | C2×#100 | — | 7 | 1 | no | — |
| 345 | C2×#100 | — | 7 | 1 | no | — |
| 346 | #408 | C2×D7 | 1 | 1 | yes | characteristic |
| 347 | #405 | — | 7 | 1 | no | — |
| 348 | #391 | — | 7 | 1 | no | — |
| 349 | #343 | — | 7 | 1 | no | — |
| 350 | #339 | — | 7 | 1 | no | — |
| 351 | #339 | — | 7 | 1 | no | — |
| 352 | #336 | — | 7 | 1 | no | — |
| 353 | C23×C7 | — | 2 | 1 | no | — |
| 354 | C23×C7 | — | 2 | 1 | no | — |
| 355 | C23×C7 | — | 2 | 2 | no | — |
| 356 | C23×C7 | — | 4 | 4 | no | — |
| 357 | C23×C7 | — | 4 | 1 | no | — |
| 358 | C23×C7 | — | 4 | 1 | no | — |
| 359 | C23×C7 | — | 8 | 1 | no | — |
| 360 | C23×C7 | — | 8 | 1 | no | — |
| 361 | C23×C7 | — | 16 | 1 | no | — |
| 362 | C23×C7 | — | 16 | 1 | no | — |
| 363 | C23×C7 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 364 | C22×D7 | — | 2 | 2 | no | — |
| 365 | C22×D7 | — | 4 | 1 | no | — |
| 366 | C22×D7 | — | 4 | 1 | no | — |
| 367 | C22×D7 | — | 8 | 1 | no | — |
| 368 | C22×D7 | — | 8 | 1 | no | — |
| 369 | C7×Q8 | — | 2 | 1 | no | — |
| 370 | C7×Q8 | — | 2 | 1 | no | — |
| 371 | C7×Q8 | — | 2 | 1 | no | — |
| 372 | C7×Q8 | — | 4 | 1 | no | — |
| 373 | C7×Q8 | — | 4 | 1 | no | — |
| 374 | C7×Q8 | — | 4 | 1 | no | — |
| 375 | C7×Q8 | — | 4 | 1 | no | — |
| 376 | C7×Q8 | #121 | 1 | 2 | yes | — |
| 377 | C7×D4 | — | 2 | 2 | no | — |
| 378 | C7×D4 | — | 2 | 2 | no | — |
| 379 | C7×D4 | — | 2 | 1 | no | — |
| 380 | C7×D4 | — | 2 | 2 | no | — |
| 381 | C7×D4 | — | 2 | 1 | no | — |
| 382 | C7×D4 | — | 2 | 1 | no | — |
| 383 | C7×D4 | — | 2 | 2 | no | — |
| 384 | C7×D4 | — | 4 | 4 | no | — |
| 385 | C7×D4 | — | 4 | 4 | no | — |
| 386 | C7×D4 | — | 4 | 1 | no | — |
| 387 | C7×D4 | — | 4 | 1 | no | — |
| 388 | C7×D4 | — | 4 | 1 | no | — |
| 389 | C7×D4 | — | 4 | 1 | no | — |
| 390 | C7×D4 | #121 | 1 | 2 | yes | — |
| 391 | C2×C4×C7 | — | 2 | 1 | no | — |
| 392 | C2×C4×C7 | — | 2 | 2 | no | — |
| 393 | C2×C4×C7 | — | 2 | 2 | no | — |
| 394 | C2×C4×C7 | — | 2 | 1 | no | — |
| 395 | C2×C4×C7 | — | 2 | 1 | no | — |
| 396 | C2×C4×C7 | — | 2 | 1 | no | — |
| 397 | C2×C4×C7 | — | 4 | 4 | no | — |
| 398 | C2×C4×C7 | — | 4 | 1 | no | — |
| 399 | C2×C4×C7 | — | 4 | 1 | no | — |
| 400 | C2×C4×C7 | — | 4 | 1 | no | — |
| 401 | C2×C4×C7 | — | 4 | 1 | no | — |
| 402 | C2×C4×C7 | — | 4 | 1 | no | — |
| 403 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 404 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 405 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 406 | C2×C4×C7 | C2×#41 | 1 | 1 | yes | characteristic |
| 407 | C2×C4×C7 | C2×#41 | 1 | 1 | yes | characteristic |
| 408 | C2×C4×C7 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 409 | C22⋊D7 | — | 8 | 8 | no | — |
| 410 | C2×Dic7 | — | 2 | 2 | no | — |
| 411 | C2×Dic7 | — | 2 | 1 | no | — |
| 412 | C2×Dic7 | — | 2 | 1 | no | — |
| 413 | C2×Dic7 | — | 4 | 1 | no | — |
| 414 | C2×Dic7 | — | 4 | 1 | no | — |
| 415 | C2×Dic7 | — | 4 | 1 | no | — |
| 416 | C2×Dic7 | — | 8 | 1 | no | — |
| 417 | C2×Dic7 | — | 16 | 1 | no | — |
| 418 | D28 | — | 2 | 2 | no | — |
| 419 | D28 | — | 2 | 2 | no | — |
| 420 | D28 | — | 4 | 1 | no | — |
| 421 | D28 | — | 4 | 1 | no | — |
| 422 | C4×D7 | — | 16 | 1 | no | — |
| 423 | C4×D7 | — | 16 | 1 | no | — |
| 424 | C7×C8 | — | 2 | 1 | no | — |
| 425 | C7×C8 | — | 2 | 1 | no | — |
| 426 | C7×C8 | — | 4 | 1 | no | — |
| 427 | C7⋊C8 | — | 2 | 2 | no | — |
| 428 | C7⋊C8 | — | 2 | 1 | no | — |
| 429 | C7⋊C8 | — | 2 | 1 | no | — |
| 430 | C7⋊C8 | — | 4 | 1 | no | — |
| 431 | C7⋊C8 | — | 4 | 1 | no | — |
| 432 | H(5,𝔽2) | — | 2 | 2 | no | — |
| 433 | H(5,𝔽2) | — | 2 | 2 | no | — |
| 434 | H(5,𝔽2) | — | 2 | 2 | no | — |
| 435 | H(5,𝔽2) | — | 4 | 1 | no | — |
| 436 | C2×#41 | — | 2 | 1 | no | — |
| 437 | C2×#41 | — | 2 | 1 | no | — |
| 438 | C2×#41 | C22×D7 | 1 | 1 | yes | characteristic |
| 439 | C2×#41 | C22×D7 | 1 | 1 | yes | characteristic |
| 440 | C22×Q8 | C22×D7 | 1 | 1 | yes | characteristic |
| 441 | C22×D4 | — | 2 | 1 | no | — |
| 442 | C22×D4 | — | 2 | 1 | no | — |
| 443 | C22×D4 | — | 4 | 1 | no | — |
| 444 | C22×D4 | — | 7 | 1 | no | — |
| 445 | C22×D4 | — | 28 | 1 | no | — |
| 446 | C22×D4 | C22×D7 | 1 | 1 | yes | characteristic |
| 447 | #137 | — | 2 | 2 | no | — |
| 448 | #137 | — | 2 | 2 | no | — |
| 449 | AGL(1,ℤ/8) | — | 7 | 4 | no | — |
| 450 | AGL(1,ℤ/8) | — | 14 | 2 | no | — |
| 451 | AGL(1,ℤ/8) | — | 14 | 2 | no | — |
| 452 | AGL(1,ℤ/8) | — | 28 | 1 | no | — |
| 453 | C2×Q16 | — | 2 | 1 | no | — |
| 454 | C2×SD16 | — | 2 | 2 | no | — |
| 455 | C2×SD16 | — | 2 | 1 | no | — |
| 456 | C2×SD16 | — | 2 | 1 | no | — |
| 457 | C2×SD16 | — | 2 | 1 | no | — |
| 458 | C2×SD16 | — | 4 | 1 | no | — |
| 459 | C2×SD16 | — | 14 | 1 | no | — |
| 460 | C2×SD16 | — | 14 | 1 | no | — |
| 461 | C2×SD16 | — | 14 | 1 | no | — |
| 462 | C2×SD16 | — | 14 | 2 | no | — |
| 463 | C2×SD16 | — | 14 | 1 | no | — |
| 464 | C2×SD16 | — | 28 | 1 | no | — |
| 465 | C2×D8 | — | 14 | 1 | no | — |
| 466 | C2×D8 | — | 14 | 1 | no | — |
| 467 | #131 | — | 14 | 2 | no | — |
| 468 | #131 | — | 28 | 1 | no | — |
| 469 | C2×M16 | — | 7 | 1 | no | — |
| 470 | C2×M16 | — | 7 | 1 | no | — |
| 471 | C2×M16 | — | 7 | 1 | no | — |
| 472 | C2×M16 | — | 14 | 1 | no | — |
| 473 | C2×M16 | C22×D7 | 1 | 1 | yes | characteristic |
| 474 | C22×C8 | — | 7 | 1 | no | — |
| 475 | C22×C8 | — | 14 | 1 | no | — |
| 476 | C22×C8 | C22×D7 | 1 | 1 | yes | characteristic |
| 477 | C4⋊Q8 | — | 2 | 1 | no | — |
| 478 | #127 | — | 14 | 2 | no | — |
| 479 | #127 | — | 14 | 2 | no | — |
| 480 | #124 | — | 2 | 1 | no | — |
| 481 | #123 | — | 4 | 1 | no | — |
| 482 | C22⋊Q8 | — | 2 | 1 | no | — |
| 483 | C22⋊Q8 | — | 2 | 1 | no | — |
| 484 | C4×Q8 | — | 14 | 1 | no | — |
| 485 | C4×D4 | — | 14 | 1 | no | — |
| 486 | C4×D4 | — | 14 | 1 | no | — |
| 487 | C4×D4 | — | 14 | 1 | no | — |
| 488 | C4×D4 | — | 14 | 1 | no | — |
| 489 | C4×D4 | — | 14 | 1 | no | — |
| 490 | C4×D4 | — | 28 | 1 | no | — |
| 491 | #117 | — | 7 | 1 | no | — |
| 492 | #117 | — | 14 | 1 | no | — |
| 493 | #117 | C22×D7 | 1 | 1 | yes | characteristic |
| 494 | C2×C4⋊C4 | — | 7 | 1 | no | — |
| 495 | C2×C4⋊C4 | — | 14 | 1 | no | — |
| 496 | C2×C22⋊C4 | — | 28 | 1 | no | — |
| 497 | C2×C42 | — | 7 | 1 | no | — |
| 498 | #108 | — | 14 | 2 | no | — |
| 499 | #108 | — | 28 | 1 | no | — |
| 500 | #107 | — | 14 | 1 | no | — |
| 501 | #106 | — | 14 | 1 | no | — |
| 502 | C4⋊C8 | — | 14 | 1 | no | — |
| 503 | C4⋊C8 | — | 14 | 1 | no | — |
| 504 | #104 | — | 14 | 2 | no | — |
| 505 | #104 | — | 14 | 2 | no | — |
| 506 | #103 | — | 7 | 1 | no | — |
| 507 | #103 | — | 7 | 1 | no | — |
| 508 | #103 | — | 14 | 1 | no | — |
| 509 | #103 | — | 14 | 1 | no | — |
| 510 | #103 | — | 14 | 1 | no | — |
| 511 | #103 | C22⋊D7 | 1 | 1 | yes | characteristic, complemented |
| 512 | #103 | C22⋊D7 | 1 | 1 | yes | characteristic, complemented |
| 513 | #102 | — | 2 | 1 | no | — |
| 514 | #102 | — | 2 | 1 | no | — |
| 515 | #102 | — | 7 | 1 | no | — |
| 516 | #102 | — | 7 | 1 | no | — |
| 517 | #102 | — | 14 | 1 | no | — |
| 518 | #102 | — | 14 | 1 | no | — |
| 519 | #102 | — | 14 | 1 | no | — |
| 520 | #102 | — | 14 | 1 | no | — |
| 521 | #102 | — | 14 | 1 | no | — |
| 522 | #102 | — | 14 | 1 | no | — |
| 523 | #102 | — | 14 | 1 | no | — |
| 524 | #102 | C22⋊D7 | 1 | 1 | yes | characteristic, complemented |
| 525 | #102 | C22⋊D7 | 1 | 1 | yes | characteristic, complemented |
| 526 | #101 | — | 14 | 2 | no | — |
| 527 | #100 | — | 14 | 2 | no | — |
| 528 | #100 | — | 14 | 2 | no | — |
| 529 | C22⋊C8 | — | 2 | 1 | no | — |
| 530 | C22⋊C8 | — | 2 | 1 | no | — |
| 531 | #97 | — | 14 | 1 | no | — |
| 532 | C4×C8 | — | 14 | 1 | no | — |
| 533 | #95 | — | 28 | 1 | no | — |
| 534 | C22×C7 | — | 2 | 1 | no | — |
| 535 | C22×C7 | — | 2 | 1 | no | — |
| 536 | C22×C7 | — | 2 | 2 | no | — |
| 537 | C22×C7 | — | 4 | 1 | no | — |
| 538 | C22×C7 | — | 4 | 1 | no | — |
| 539 | C22×C7 | — | 4 | 1 | no | — |
| 540 | C22×C7 | — | 4 | 2 | no | — |
| 541 | C22×C7 | — | 4 | 1 | no | — |
| 542 | C22×C7 | — | 4 | 1 | no | — |
| 543 | C22×C7 | — | 8 | 2 | no | — |
| 544 | C22×C7 | — | 8 | 1 | no | — |
| 545 | C22×C7 | — | 8 | 1 | no | — |
| 546 | C22×C7 | — | 16 | 1 | no | — |
| 547 | C22×C7 | — | 16 | 4 | no | — |
| 548 | C22×C7 | #538 | 1 | 1 | yes | characteristic |
| 549 | C22×C7 | D42 | 1 | 1 | yes | characteristic |
| 550 | C22×C7 | #546 | 1 | 1 | yes | characteristic |
| 551 | C2×D7 | — | 4 | 2 | no | — |
| 552 | C2×D7 | — | 8 | 1 | no | — |
| 553 | C2×D7 | — | 8 | 1 | no | — |
| 554 | C2×D7 | — | 8 | 2 | no | — |
| 555 | C2×D7 | — | 16 | 1 | no | — |
| 556 | C4×C7 | — | 2 | 2 | no | — |
| 557 | C4×C7 | — | 4 | 1 | no | — |
| 558 | C4×C7 | — | 4 | 1 | no | — |
| 559 | C4×C7 | — | 4 | 1 | no | — |
| 560 | C4×C7 | — | 8 | 1 | no | — |
| 561 | C4×C7 | C2×#121 | 1 | 1 | yes | characteristic |
| 562 | C4×C7 | #525 | 1 | 1 | yes | characteristic |
| 563 | C4×C7 | D42 | 1 | 1 | yes | characteristic |
| 564 | C4×C7 | #546 | 1 | 1 | yes | characteristic |
| 565 | Dic7 | — | 4 | 2 | no | — |
| 566 | Dic7 | — | 4 | 1 | no | — |
| 567 | Dic7 | — | 4 | 1 | no | — |
| 568 | Dic7 | — | 8 | 1 | no | — |
| 569 | C24 | — | 2 | 1 | no | — |
| 570 | C24 | — | 4 | 1 | no | — |
| 571 | C24 | — | 14 | 1 | no | — |
| 572 | #41 | — | 2 | 1 | no | — |
| 573 | #41 | — | 2 | 1 | no | — |
| 574 | #41 | — | 2 | 4 | no | — |
| 575 | #41 | — | 2 | 1 | no | — |
| 576 | #41 | — | 2 | 1 | no | — |
| 577 | #41 | — | 2 | 1 | no | — |
| 578 | #41 | — | 2 | 1 | no | — |
| 579 | #41 | — | 4 | 2 | no | — |
| 580 | #41 | — | 4 | 2 | no | — |
| 581 | #41 | — | 4 | 2 | no | — |
| 582 | #41 | D4×D7 | 1 | 2 | yes | — |
| 583 | #41 | #1159 | 1 | 2 | yes | — |
| 584 | C2×Q8 | — | 2 | 1 | no | — |
| 585 | C2×Q8 | — | 2 | 1 | no | — |
| 586 | C2×Q8 | — | 2 | 1 | no | — |
| 587 | C2×Q8 | — | 2 | 1 | no | — |
| 588 | C2×Q8 | — | 2 | 1 | no | — |
| 589 | C2×Q8 | — | 2 | 1 | no | — |
| 590 | C2×Q8 | D4×D7 | 1 | 1 | yes | characteristic |
| 591 | C2×Q8 | C2×C22⋊D7 | 1 | 1 | yes | characteristic |
| 592 | C2×D4 | — | 2 | 1 | no | — |
| 593 | C2×D4 | — | 2 | 4 | no | — |
| 594 | C2×D4 | — | 2 | 1 | no | — |
| 595 | C2×D4 | — | 2 | 1 | no | — |
| 596 | C2×D4 | — | 2 | 1 | no | — |
| 597 | C2×D4 | — | 2 | 1 | no | — |
| 598 | C2×D4 | — | 2 | 1 | no | — |
| 599 | C2×D4 | — | 2 | 1 | no | — |
| 600 | C2×D4 | — | 4 | 2 | no | — |
| 601 | C2×D4 | — | 4 | 1 | no | — |
| 602 | C2×D4 | — | 4 | 1 | no | — |
| 603 | C2×D4 | — | 4 | 2 | no | — |
| 604 | C2×D4 | — | 4 | 4 | no | — |
| 605 | C2×D4 | — | 4 | 4 | no | — |
| 606 | C2×D4 | — | 4 | 2 | no | — |
| 607 | C2×D4 | — | 7 | 2 | no | — |
| 608 | C2×D4 | — | 14 | 1 | no | — |
| 609 | C2×D4 | — | 14 | 1 | no | — |
| 610 | C2×D4 | — | 14 | 1 | no | — |
| 611 | C2×D4 | — | 14 | 1 | no | — |
| 612 | C2×D4 | — | 14 | 1 | no | — |
| 613 | C2×D4 | — | 28 | 4 | no | — |
| 614 | C2×D4 | — | 56 | 2 | no | — |
| 615 | C2×D4 | — | 56 | 2 | no | — |
| 616 | C2×D4 | D4×D7 | 1 | 1 | yes | characteristic |
| 617 | C2×D4 | #1159 | 1 | 2 | yes | — |
| 618 | C2×D4 | C2×C22⋊D7 | 1 | 1 | yes | characteristic |
| 619 | C22×C4 | — | 2 | 1 | no | — |
| 620 | C22×C4 | — | 2 | 1 | no | — |
| 621 | C22×C4 | — | 2 | 1 | no | — |
| 622 | C22×C4 | — | 4 | 1 | no | — |
| 623 | C22×C4 | — | 14 | 1 | no | — |
| 624 | C22×C4 | — | 14 | 1 | no | — |
| 625 | C22×C4 | — | 28 | 1 | no | — |
| 626 | C22×C4 | — | 28 | 1 | no | — |
| 627 | C22×C4 | — | 28 | 1 | no | — |
| 628 | C22×C4 | C23×D7 | 1 | 1 | yes | characteristic |
| 629 | Q16 | — | 4 | 2 | no | — |
| 630 | SD16 | — | 4 | 2 | no | — |
| 631 | SD16 | — | 4 | 2 | no | — |
| 632 | SD16 | — | 4 | 2 | no | — |
| 633 | SD16 | — | 14 | 4 | no | — |
| 634 | SD16 | — | 28 | 2 | no | — |
| 635 | SD16 | — | 28 | 2 | no | — |
| 636 | SD16 | — | 28 | 2 | no | — |
| 637 | D8 | — | 14 | 4 | no | — |
| 638 | D8 | — | 28 | 2 | no | — |
| 639 | M16 | — | 2 | 1 | no | — |
| 640 | M16 | — | 2 | 1 | no | — |
| 641 | M16 | — | 7 | 2 | no | — |
| 642 | M16 | — | 14 | 1 | no | — |
| 643 | M16 | — | 14 | 1 | no | — |
| 644 | M16 | — | 14 | 1 | no | — |
| 645 | M16 | — | 14 | 1 | no | — |
| 646 | M16 | — | 14 | 1 | no | — |
| 647 | M16 | — | 28 | 2 | no | — |
| 648 | C2×C8 | — | 2 | 1 | no | — |
| 649 | C2×C8 | — | 2 | 1 | no | — |
| 650 | C2×C8 | — | 2 | 1 | no | — |
| 651 | C2×C8 | — | 7 | 1 | no | — |
| 652 | C2×C8 | — | 7 | 1 | no | — |
| 653 | C2×C8 | — | 14 | 1 | no | — |
| 654 | C2×C8 | — | 14 | 1 | no | — |
| 655 | C2×C8 | — | 14 | 1 | no | — |
| 656 | C2×C8 | — | 14 | 1 | no | — |
| 657 | C2×C8 | — | 14 | 1 | no | — |
| 658 | C2×C8 | — | 28 | 2 | no | — |
| 659 | C2×C8 | C2×C22⋊D7 | 1 | 1 | yes | characteristic |
| 660 | C2×C8 | C2×C22⋊D7 | 1 | 1 | yes | characteristic |
| 661 | C4⋊C4 | — | 4 | 1 | no | — |
| 662 | C4⋊C4 | — | 4 | 1 | no | — |
| 663 | C4⋊C4 | — | 7 | 1 | no | — |
| 664 | C4⋊C4 | — | 7 | 1 | no | — |
| 665 | C4⋊C4 | — | 14 | 1 | no | — |
| 666 | C4⋊C4 | — | 14 | 1 | no | — |
| 667 | C4⋊C4 | — | 28 | 1 | no | — |
| 668 | C4⋊C4 | C2×C22⋊D7 | 1 | 1 | yes | characteristic |
| 669 | C4⋊C4 | C2×C22⋊D7 | 1 | 1 | yes | characteristic |
| 670 | C22⋊C4 | — | 2 | 1 | no | — |
| 671 | C22⋊C4 | — | 4 | 1 | no | — |
| 672 | C22⋊C4 | — | 4 | 1 | no | — |
| 673 | C22⋊C4 | — | 14 | 1 | no | — |
| 674 | C22⋊C4 | — | 28 | 1 | no | — |
| 675 | C22⋊C4 | — | 28 | 1 | no | — |
| 676 | C22⋊C4 | — | 28 | 1 | no | — |
| 677 | C42 | — | 2 | 1 | no | — |
| 678 | C42 | — | 14 | 1 | no | — |
| 679 | C42 | — | 14 | 1 | no | — |
| 680 | C42 | — | 14 | 1 | no | — |
| 681 | C42 | — | 28 | 1 | no | — |
| 682 | C2×C7 | — | 2 | 1 | no | — |
| 683 | C2×C7 | — | 2 | 1 | no | — |
| 684 | C2×C7 | — | 4 | 2 | no | — |
| 685 | C2×C7 | — | 8 | 1 | no | — |
| 686 | C2×C7 | — | 8 | 2 | no | — |
| 687 | C2×C7 | #2424 | 1 | 1 | yes | characteristic |
| 688 | C2×C7 | #3288 | 1 | 1 | yes | characteristic |
| 689 | C2×C7 | #3291 | 1 | 1 | yes | characteristic |
| 690 | D7 | — | 8 | 2 | no | — |
| 691 | C23 | — | 2 | 1 | no | — |
| 692 | C23 | — | 2 | 1 | no | — |
| 693 | C23 | — | 2 | 2 | no | — |
| 694 | C23 | — | 4 | 4 | no | — |
| 695 | C23 | — | 4 | 1 | no | — |
| 696 | C23 | — | 4 | 1 | no | — |
| 697 | C23 | — | 8 | 1 | no | — |
| 698 | C23 | — | 8 | 1 | no | — |
| 699 | C23 | — | 14 | 2 | no | — |
| 700 | C23 | — | 16 | 1 | no | — |
| 701 | C23 | — | 16 | 1 | no | — |
| 702 | C23 | — | 28 | 1 | no | — |
| 703 | C23 | — | 28 | 1 | no | — |
| 704 | C23 | — | 56 | 1 | no | — |
| 705 | C23 | — | 56 | 1 | no | — |
| 706 | C23 | #6548 | 1 | 1 | yes | characteristic |
| 707 | Q8 | — | 2 | 1 | no | — |
| 708 | Q8 | — | 2 | 1 | no | — |
| 709 | Q8 | — | 2 | 1 | no | — |
| 710 | Q8 | — | 4 | 1 | no | — |
| 711 | Q8 | — | 4 | 1 | no | — |
| 712 | Q8 | — | 4 | 1 | no | — |
| 713 | Q8 | — | 4 | 1 | no | — |
| 714 | Q8 | #6501 | 1 | 2 | yes | — |
| 715 | D4 | — | 2 | 2 | no | — |
| 716 | D4 | — | 2 | 2 | no | — |
| 717 | D4 | — | 2 | 1 | no | — |
| 718 | D4 | — | 2 | 2 | no | — |
| 719 | D4 | — | 2 | 1 | no | — |
| 720 | D4 | — | 2 | 2 | no | — |
| 721 | D4 | — | 2 | 1 | no | — |
| 722 | D4 | — | 4 | 4 | no | — |
| 723 | D4 | — | 4 | 4 | no | — |
| 724 | D4 | — | 4 | 1 | no | — |
| 725 | D4 | — | 4 | 1 | no | — |
| 726 | D4 | — | 4 | 1 | no | — |
| 727 | D4 | — | 4 | 1 | no | — |
| 728 | D4 | — | 14 | 2 | no | — |
| 729 | D4 | — | 14 | 2 | no | — |
| 730 | D4 | — | 28 | 1 | no | — |
| 731 | D4 | — | 28 | 1 | no | — |
| 732 | D4 | — | 56 | 8 | no | — |
| 733 | D4 | #6501 | 1 | 2 | yes | — |
| 734 | C2×C4 | — | 2 | 1 | no | — |
| 735 | C2×C4 | — | 2 | 2 | no | — |
| 736 | C2×C4 | — | 2 | 2 | no | — |
| 737 | C2×C4 | — | 2 | 1 | no | — |
| 738 | C2×C4 | — | 2 | 1 | no | — |
| 739 | C2×C4 | — | 2 | 1 | no | — |
| 740 | C2×C4 | — | 4 | 4 | no | — |
| 741 | C2×C4 | — | 4 | 1 | no | — |
| 742 | C2×C4 | — | 4 | 1 | no | — |
| 743 | C2×C4 | — | 4 | 1 | no | — |
| 744 | C2×C4 | — | 4 | 1 | no | — |
| 745 | C2×C4 | — | 4 | 1 | no | — |
| 746 | C2×C4 | — | 14 | 2 | no | — |
| 747 | C2×C4 | — | 14 | 1 | no | — |
| 748 | C2×C4 | — | 14 | 1 | no | — |
| 749 | C2×C4 | — | 28 | 1 | no | — |
| 750 | C2×C4 | — | 28 | 1 | no | — |
| 751 | C2×C4 | — | 28 | 1 | no | — |
| 752 | C2×C4 | — | 56 | 1 | no | — |
| 753 | C2×C4 | — | 112 | 1 | no | — |
| 754 | C2×C4 | — | 112 | 1 | no | — |
| 755 | C2×C4 | — | 112 | 1 | no | — |
| 756 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 757 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 758 | C2×C4 | C2×#1159 | 1 | 1 | yes | characteristic |
| 759 | C2×C4 | C2×#1159 | 1 | 1 | yes | characteristic |
| 760 | C2×C4 | #6548 | 1 | 1 | yes | characteristic |
| 761 | C2×C4 | C22×C22⋊D7 | 1 | 1 | yes | characteristic |
| 762 | C8 | — | 2 | 1 | no | — |
| 763 | C8 | — | 2 | 1 | no | — |
| 764 | C8 | — | 4 | 1 | no | — |
| 765 | C8 | — | 14 | 2 | no | — |
| 766 | C8 | — | 14 | 1 | no | — |
| 767 | C8 | — | 14 | 1 | no | — |
| 768 | C8 | — | 28 | 1 | no | — |
| 769 | C8 | — | 28 | 1 | no | — |
| 770 | C7 | #25187 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 771 | C22 | — | 2 | 1 | no | — |
| 772 | C22 | — | 2 | 1 | no | — |
| 773 | C22 | — | 2 | 2 | no | — |
| 774 | C22 | — | 4 | 1 | no | — |
| 775 | C22 | — | 4 | 1 | no | — |
| 776 | C22 | — | 4 | 1 | no | — |
| 777 | C22 | — | 4 | 1 | no | — |
| 778 | C22 | — | 4 | 1 | no | — |
| 779 | C22 | — | 4 | 2 | no | — |
| 780 | C22 | — | 8 | 2 | no | — |
| 781 | C22 | — | 8 | 1 | no | — |
| 782 | C22 | — | 8 | 1 | no | — |
| 783 | C22 | — | 16 | 1 | no | — |
| 784 | C22 | — | 16 | 4 | no | — |
| 785 | C22 | — | 28 | 2 | no | — |
| 786 | C22 | — | 56 | 2 | no | — |
| 787 | C22 | — | 56 | 1 | no | — |
| 788 | C22 | — | 56 | 1 | no | — |
| 789 | C22 | — | 112 | 1 | no | — |
| 790 | C22 | #90282 | 1 | 1 | yes | characteristic |
| 791 | C22 | #90284 | 1 | 1 | yes | characteristic |
| 792 | C22 | D4×C22⋊D7 | 1 | 1 | yes | characteristic |
| 793 | C4 | — | 2 | 2 | no | — |
| 794 | C4 | — | 4 | 1 | no | — |
| 795 | C4 | — | 4 | 1 | no | — |
| 796 | C4 | — | 4 | 1 | no | — |
| 797 | C4 | — | 8 | 1 | no | — |
| 798 | C4 | — | 28 | 2 | no | — |
| 799 | C4 | — | 28 | 1 | no | — |
| 800 | C4 | — | 28 | 1 | no | — |
| 801 | C4 | — | 56 | 1 | no | — |
| 802 | C4 | #90277 | 1 | 1 | yes | characteristic |
| 803 | C4 | #90281 | 1 | 1 | yes | characteristic |
| 804 | C4 | C2×#6501 | 1 | 1 | yes | characteristic |
| 805 | C4 | #90497 | 1 | 1 | yes | characteristic |
| 806 | C2 | — | 2 | 1 | no | — |
| 807 | C2 | — | 2 | 1 | no | — |
| 808 | C2 | — | 4 | 2 | no | — |
| 809 | C2 | — | 8 | 1 | no | — |
| 810 | C2 | — | 8 | 2 | no | — |
| 811 | C2 | — | 56 | 2 | no | — |
| 812 | C2 | #11740031 | 1 | 1 | yes | characteristic |
| 813 | C2 | #11741459 | 1 | 1 | yes | characteristic |
| 814 | C2 | #11741460 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta