Finite Group DatabasebetaFinite Group DatabasebetaOrder 1792.
1284 conjugacy classes of subgroups.
The subgroup lattice has 854 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11744265 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #11741443 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11741438 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11741329 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11736157 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11736151 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C7×#2020 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11729858 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11729828 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #11727878 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #11727864 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #11727766 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #11727763 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #11726701 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #11726699 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #90616 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×#6551 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×C7×#137 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×C7×#137 | C22 | 1 | 1 | yes | characteristic |
| 20 | C22×C7×Q16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | #90513 | C22 | 1 | 1 | yes | characteristic |
| 22 | #90507 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×#6505 | C22 | 1 | 1 | yes | characteristic |
| 24 | C2×#6505 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×#6505 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | #90470 | — | 2 | 2 | no | — |
| 27 | #90469 | — | 2 | 2 | no | — |
| 28 | #90468 | — | 2 | 2 | no | — |
| 29 | D7×#137 | — | 2 | 2 | no | — |
| 30 | #90457 | — | 2 | 2 | no | — |
| 31 | #90453 | — | 2 | 2 | no | — |
| 32 | #90439 | C22 | 1 | 1 | yes | characteristic |
| 33 | #90436 | C22 | 1 | 1 | yes | characteristic |
| 34 | #90436 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | #90436 | C22 | 1 | 1 | yes | characteristic, complemented |
| 36 | C2×C7×#101 | C22 | 1 | 1 | yes | characteristic, complemented |
| 37 | C2×C7×#101 | C22 | 1 | 1 | yes | characteristic, complemented |
| 38 | C7×#408 | C22 | 1 | 1 | yes | characteristic |
| 39 | #90009 | C22 | 1 | 1 | yes | characteristic |
| 40 | #90008 | C22 | 1 | 1 | yes | characteristic |
| 41 | C2×#6410 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | C2×#6410 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | #89997 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | #89977 | — | 2 | 2 | no | — |
| 45 | #89974 | — | 2 | 2 | no | — |
| 46 | #89964 | — | 2 | 2 | no | — |
| 47 | #89959 | — | 2 | 2 | no | — |
| 48 | #89958 | — | 2 | 2 | no | — |
| 49 | #89949 | — | 2 | 2 | no | — |
| 50 | #89911 | C22 | 1 | 1 | yes | characteristic |
| 51 | #89904 | C22 | 1 | 1 | yes | characteristic |
| 52 | #89904 | C22 | 1 | 1 | yes | characteristic |
| 53 | #89904 | C22 | 1 | 1 | yes | characteristic |
| 54 | #89897 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | #89896 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | #89885 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | #89882 | C22 | 1 | 1 | yes | characteristic |
| 58 | #89882 | C22 | 1 | 1 | yes | characteristic |
| 59 | #89527 | — | 2 | 2 | no | — |
| 60 | #89526 | — | 2 | 2 | no | — |
| 61 | #89523 | — | 2 | 2 | no | — |
| 62 | D7×#101 | — | 2 | 2 | no | — |
| 63 | C7×#341 | C22 | 1 | 1 | yes | characteristic, complemented |
| 64 | #89354 | C22 | 1 | 1 | yes | characteristic, complemented |
| 65 | #89351 | C22 | 1 | 1 | yes | characteristic, complemented |
| 66 | #89347 | C22 | 1 | 1 | yes | characteristic, complemented |
| 67 | #24423 | — | 7 | 1 | no | maximal, Sylow |
| 68 | C2×C7×#41 | C23 | 1 | 1 | yes | characteristic |
| 69 | C22×C7×Q8 | C23 | 1 | 1 | yes | characteristic |
| 70 | C22×C7×Q8 | C23 | 1 | 1 | yes | characteristic |
| 71 | #6554 | — | 2 | 1 | no | — |
| 72 | #6554 | — | 2 | 1 | no | — |
| 73 | #6553 | — | 2 | 1 | no | — |
| 74 | #6553 | — | 2 | 1 | no | — |
| 75 | D7×#41 | — | 2 | 2 | no | — |
| 76 | D7×#41 | — | 4 | 1 | no | — |
| 77 | #6551 | — | 2 | 1 | no | — |
| 78 | #6551 | — | 2 | 2 | no | — |
| 79 | #6551 | — | 2 | 2 | no | — |
| 80 | #6551 | — | 4 | 1 | no | — |
| 81 | #6551 | — | 4 | 1 | no | — |
| 82 | C2×#1161 | — | 2 | 1 | no | — |
| 83 | C2×#1161 | D4 | 1 | 2 | yes | — |
| 84 | C2×Q8×D7 | — | 2 | 1 | no | — |
| 85 | C2×Q8×D7 | D4 | 1 | 2 | yes | — |
| 86 | #6548 | — | 2 | 1 | no | — |
| 87 | #6548 | — | 2 | 2 | no | — |
| 88 | C2×#1157 | — | 2 | 2 | no | — |
| 89 | C2×#1157 | — | 4 | 1 | no | — |
| 90 | C2×#1157 | C23 | 1 | 1 | yes | characteristic |
| 91 | C2×#1157 | C23 | 1 | 1 | yes | characteristic |
| 92 | C2×#1157 | C23 | 1 | 1 | yes | characteristic |
| 93 | C7×#137 | — | 2 | 2 | no | — |
| 94 | C7×#137 | — | 2 | 2 | no | — |
| 95 | C7×#137 | — | 2 | 2 | no | — |
| 96 | C7×#137 | — | 4 | 1 | no | — |
| 97 | C2×C7×Q16 | — | 2 | 1 | no | — |
| 98 | C2×C7×Q16 | — | 2 | 2 | no | — |
| 99 | C2×C7×Q16 | — | 2 | 1 | no | — |
| 100 | C2×C7×Q16 | — | 4 | 1 | no | — |
| 101 | C2×C7×Q16 | — | 4 | 1 | no | — |
| 102 | C2×C7×SD16 | — | 2 | 1 | no | — |
| 103 | C2×C7×SD16 | — | 2 | 1 | no | — |
| 104 | C2×C7×M16 | C23 | 1 | 1 | yes | characteristic |
| 105 | C2×C7×M16 | C23 | 1 | 1 | yes | characteristic |
| 106 | C2×C7×M16 | C23 | 1 | 1 | yes | characteristic |
| 107 | C22×C7×C8 | C23 | 1 | 1 | yes | characteristic |
| 108 | #6514 | — | 2 | 1 | no | — |
| 109 | #6513 | — | 2 | 2 | no | — |
| 110 | #6512 | — | 2 | 1 | no | — |
| 111 | #6510 | — | 2 | 1 | no | — |
| 112 | #6509 | — | 2 | 2 | no | — |
| 113 | #6507 | — | 2 | 1 | no | — |
| 114 | C2×#1144 | — | 2 | 1 | no | — |
| 115 | C2×#1144 | — | 2 | 1 | no | — |
| 116 | C2×#1144 | — | 2 | 1 | no | — |
| 117 | #6505 | — | 2 | 2 | no | — |
| 118 | #6505 | — | 2 | 2 | no | — |
| 119 | #6505 | — | 2 | 2 | no | — |
| 120 | #6505 | — | 2 | 2 | no | — |
| 121 | #6505 | — | 2 | 2 | no | — |
| 122 | #6505 | — | 4 | 1 | no | — |
| 123 | #6505 | D4 | 1 | 2 | yes | — |
| 124 | C2×#1143 | — | 2 | 1 | no | — |
| 125 | C2×#1143 | — | 2 | 1 | no | — |
| 126 | C2×#1143 | — | 2 | 1 | no | — |
| 127 | #6495 | D4 | 1 | 2 | yes | — |
| 128 | #6492 | — | 2 | 2 | no | — |
| 129 | #6489 | C23 | 1 | 1 | yes | characteristic |
| 130 | C2×#1136 | C23 | 1 | 1 | yes | characteristic |
| 131 | C2×#1136 | C23 | 1 | 1 | yes | characteristic |
| 132 | C2×#1136 | C23 | 1 | 1 | yes | characteristic |
| 133 | C2×#1136 | C23 | 1 | 1 | yes | characteristic |
| 134 | #6482 | — | 2 | 4 | no | — |
| 135 | #6481 | — | 2 | 4 | no | — |
| 136 | #6481 | — | 2 | 4 | no | — |
| 137 | D7×Q16 | — | 2 | 4 | no | — |
| 138 | #6479 | — | 2 | 4 | no | — |
| 139 | #6478 | — | 2 | 4 | no | — |
| 140 | #6477 | — | 2 | 4 | no | — |
| 141 | D7×SD16 | — | 2 | 4 | no | — |
| 142 | #6472 | — | 2 | 1 | no | — |
| 143 | #6472 | D4 | 1 | 2 | yes | — |
| 144 | #6471 | — | 2 | 1 | no | — |
| 145 | #6471 | D4 | 1 | 2 | yes | — |
| 146 | #6470 | — | 2 | 2 | no | — |
| 147 | #6470 | — | 2 | 2 | no | — |
| 148 | #6470 | — | 4 | 1 | no | — |
| 149 | D7×M16 | — | 2 | 2 | no | — |
| 150 | D7×M16 | — | 2 | 2 | no | — |
| 151 | D7×M16 | — | 2 | 2 | no | — |
| 152 | #6467 | — | 2 | 2 | no | — |
| 153 | #6464 | — | 2 | 2 | no | — |
| 154 | #6464 | — | 2 | 2 | no | — |
| 155 | #6464 | — | 4 | 1 | no | — |
| 156 | C7×#101 | — | 2 | 2 | no | — |
| 157 | C7×#101 | — | 2 | 2 | no | — |
| 158 | C7×C22⋊C8 | — | 4 | 1 | no | — |
| 159 | #6411 | — | 2 | 2 | no | — |
| 160 | #6410 | — | 2 | 1 | no | — |
| 161 | #6410 | — | 2 | 2 | no | — |
| 162 | #6410 | — | 2 | 2 | no | — |
| 163 | #6409 | — | 2 | 2 | no | — |
| 164 | #6407 | — | 2 | 1 | no | — |
| 165 | #6399 | — | 2 | 2 | no | — |
| 166 | #6398 | — | 2 | 1 | no | — |
| 167 | #6398 | — | 2 | 1 | no | — |
| 168 | #6398 | D4 | 1 | 2 | yes | — |
| 169 | #6397 | — | 2 | 1 | no | — |
| 170 | #6397 | — | 2 | 1 | no | — |
| 171 | #6397 | D4 | 1 | 2 | yes | — |
| 172 | #6396 | — | 2 | 2 | no | — |
| 173 | #6395 | — | 2 | 1 | no | — |
| 174 | (C2×D7)⋊C8 | — | 2 | 2 | no | — |
| 175 | (C2×D7)⋊C8 | — | 4 | 1 | no | — |
| 176 | #6393 | — | 2 | 2 | no | — |
| 177 | #6390 | — | 2 | 1 | no | — |
| 178 | #3586 | — | 7 | 1 | no | — |
| 179 | #3069 | — | 7 | 1 | no | — |
| 180 | #3069 | — | 7 | 1 | no | — |
| 181 | #3022 | — | 7 | 1 | no | — |
| 182 | #3011 | — | 7 | 1 | no | — |
| 183 | #2889 | — | 7 | 1 | no | — |
| 184 | #2049 | — | 7 | 1 | no | — |
| 185 | #2049 | — | 7 | 1 | no | — |
| 186 | #2020 | — | 7 | 1 | no | — |
| 187 | #2020 | D7 | 1 | 1 | yes | characteristic, complemented |
| 188 | #1915 | — | 7 | 1 | no | — |
| 189 | #1881 | — | 7 | 1 | no | — |
| 190 | #1881 | — | 7 | 1 | no | — |
| 191 | #1858 | — | 7 | 1 | no | — |
| 192 | #1791 | — | 7 | 1 | 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 | C2×C7×Q8 | — | 2 | 1 | no | — |
| 198 | C2×C7×Q8 | — | 2 | 1 | no | — |
| 199 | C2×C7×Q8 | — | 2 | 1 | no | — |
| 200 | C2×C7×Q8 | — | 2 | 1 | no | — |
| 201 | C2×C7×Q8 | — | 2 | 1 | no | — |
| 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 | 2 | yes | — |
| 209 | C2×C7×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 210 | C2×C7×D4 | — | 2 | 1 | no | — |
| 211 | C2×C7×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 212 | C22×C4×C7 | — | 2 | 1 | no | — |
| 213 | C22×C4×C7 | — | 2 | 1 | no | — |
| 214 | C22×C4×C7 | — | 2 | 1 | no | — |
| 215 | C22×C4×C7 | C24 | 1 | 1 | yes | characteristic |
| 216 | C2×C22⋊D7 | — | 2 | 1 | no | — |
| 217 | C2×C22⋊D7 | — | 2 | 1 | no | — |
| 218 | C2×C22⋊D7 | — | 4 | 2 | no | — |
| 219 | C2×C22⋊D7 | #41 | 1 | 2 | yes | — |
| 220 | #1161 | — | 2 | 2 | no | — |
| 221 | #1161 | — | 2 | 4 | no | — |
| 222 | #1161 | — | 4 | 2 | no | — |
| 223 | #1161 | — | 4 | 2 | no | — |
| 224 | #1161 | — | 4 | 2 | no | — |
| 225 | #1161 | — | 4 | 1 | no | — |
| 226 | Q8×D7 | — | 2 | 2 | no | — |
| 227 | Q8×D7 | — | 2 | 4 | no | — |
| 228 | Q8×D7 | — | 4 | 2 | no | — |
| 229 | Q8×D7 | — | 4 | 2 | no | — |
| 230 | Q8×D7 | — | 4 | 2 | no | — |
| 231 | Q8×D7 | — | 4 | 1 | no | — |
| 232 | #1159 | — | 2 | 2 | no | — |
| 233 | #1159 | — | 4 | 1 | no | — |
| 234 | #1159 | — | 4 | 2 | no | — |
| 235 | #1159 | — | 4 | 2 | no | — |
| 236 | D4×D7 | — | 2 | 2 | no | — |
| 237 | D4×D7 | — | 4 | 1 | no | — |
| 238 | D4×D7 | — | 4 | 2 | no | — |
| 239 | D4×D7 | — | 4 | 2 | no | — |
| 240 | #1157 | — | 2 | 1 | no | — |
| 241 | #1157 | — | 2 | 1 | no | — |
| 242 | #1157 | — | 2 | 1 | no | — |
| 243 | #1157 | — | 2 | 1 | no | — |
| 244 | #1157 | — | 2 | 1 | no | — |
| 245 | #1157 | — | 2 | 1 | no | — |
| 246 | #1157 | — | 2 | 1 | no | — |
| 247 | #1157 | — | 2 | 1 | no | — |
| 248 | #1157 | — | 2 | 1 | no | — |
| 249 | #1157 | — | 2 | 1 | no | — |
| 250 | #1157 | — | 4 | 1 | no | — |
| 251 | #1157 | — | 4 | 1 | no | — |
| 252 | #1157 | — | 4 | 2 | no | — |
| 253 | #1157 | — | 4 | 4 | no | — |
| 254 | #1157 | — | 4 | 4 | no | — |
| 255 | #1157 | — | 4 | 2 | no | — |
| 256 | #1157 | C2×D4 | 1 | 2 | yes | — |
| 257 | #1157 | C2×D4 | 1 | 2 | yes | — |
| 258 | C2×D28 | — | 2 | 2 | no | — |
| 259 | C2×D28 | — | 4 | 1 | no | — |
| 260 | C2×D28 | C2×D4 | 1 | 1 | yes | characteristic |
| 261 | C2×D28 | C2×D4 | 1 | 1 | yes | characteristic |
| 262 | C2×D28 | C2×D4 | 1 | 1 | yes | characteristic |
| 263 | C2×C4×D7 | — | 2 | 1 | no | — |
| 264 | C2×C4×D7 | — | 2 | 2 | no | — |
| 265 | C2×C4×D7 | — | 2 | 1 | no | — |
| 266 | C2×C4×D7 | — | 2 | 2 | no | — |
| 267 | C2×C4×D7 | — | 4 | 2 | no | — |
| 268 | C2×C4×D7 | C2×D4 | 1 | 2 | yes | — |
| 269 | C2×Dic14 | — | 2 | 2 | no | — |
| 270 | C2×Dic14 | — | 4 | 1 | no | — |
| 271 | C2×Dic14 | C2×D4 | 1 | 1 | yes | characteristic |
| 272 | C2×Dic14 | C2×D4 | 1 | 1 | yes | characteristic |
| 273 | C2×Dic14 | C2×D4 | 1 | 1 | yes | characteristic |
| 274 | C7×Q16 | — | 2 | 4 | no | — |
| 275 | C7×Q16 | — | 4 | 2 | no | — |
| 276 | C7×Q16 | — | 4 | 4 | no | — |
| 277 | C7×SD16 | — | 2 | 4 | no | — |
| 278 | C7×SD16 | — | 4 | 2 | no | — |
| 279 | C7×M16 | — | 2 | 1 | no | — |
| 280 | C7×M16 | — | 2 | 1 | no | — |
| 281 | C7×M16 | — | 2 | 1 | no | — |
| 282 | C7×M16 | — | 2 | 1 | no | — |
| 283 | C7×M16 | C2×D4 | 1 | 2 | yes | — |
| 284 | C7×M16 | C2×D4 | 1 | 2 | yes | — |
| 285 | C2×C7×C8 | — | 2 | 1 | no | — |
| 286 | C2×C7×C8 | — | 2 | 1 | no | — |
| 287 | C2×C7×C8 | — | 2 | 1 | no | — |
| 288 | C2×C7×C8 | — | 2 | 1 | no | — |
| 289 | C2×C7×C8 | — | 2 | 1 | no | — |
| 290 | C2×C7×C8 | — | 2 | 1 | no | — |
| 291 | C22⋊Dic7 | — | 2 | 1 | no | — |
| 292 | #1144 | — | 2 | 4 | no | — |
| 293 | #1144 | — | 2 | 2 | no | — |
| 294 | #1144 | — | 4 | 2 | no | — |
| 295 | #1144 | — | 4 | 2 | no | — |
| 296 | #1143 | — | 2 | 4 | no | — |
| 297 | #1143 | — | 2 | 2 | no | — |
| 298 | #1143 | — | 4 | 2 | no | — |
| 299 | #1143 | — | 4 | 2 | no | — |
| 300 | #1142 | — | 2 | 2 | no | — |
| 301 | #1141 | — | 2 | 2 | no | — |
| 302 | (C2×D7)⋊C4 | — | 4 | 2 | no | — |
| 303 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 304 | Dic7⋊C4 | — | 4 | 2 | no | — |
| 305 | C4×Dic7 | — | 2 | 1 | no | — |
| 306 | #1136 | — | 2 | 1 | no | — |
| 307 | #1136 | — | 2 | 1 | no | — |
| 308 | #1136 | — | 2 | 1 | no | — |
| 309 | #1136 | — | 2 | 1 | no | — |
| 310 | #1136 | — | 2 | 1 | no | — |
| 311 | #1136 | — | 2 | 1 | no | — |
| 312 | #1136 | C2×D4 | 1 | 2 | yes | — |
| 313 | #1136 | C2×D4 | 1 | 2 | yes | — |
| 314 | C2×C7⋊C8 | — | 2 | 1 | no | — |
| 315 | C2×C7⋊C8 | — | 2 | 1 | no | — |
| 316 | C2×C7⋊C8 | — | 2 | 1 | no | — |
| 317 | C2×C7⋊C8 | — | 2 | 1 | no | — |
| 318 | Dic28 | — | 2 | 2 | no | — |
| 319 | D56 | — | 2 | 2 | no | — |
| 320 | #1132 | — | 2 | 2 | no | — |
| 321 | #1132 | — | 2 | 2 | no | — |
| 322 | #1131 | — | 2 | 4 | no | — |
| 323 | #1131 | — | 4 | 2 | no | — |
| 324 | #1131 | — | 4 | 2 | no | — |
| 325 | C8×D7 | — | 2 | 4 | no | — |
| 326 | C8×D7 | — | 4 | 2 | no | — |
| 327 | C8×D7 | — | 4 | 2 | no | — |
| 328 | #585 | — | 7 | 1 | no | — |
| 329 | C2×2−1+4 | — | 7 | 1 | no | — |
| 330 | #578 | — | 14 | 2 | no | — |
| 331 | #578 | — | 14 | 2 | no | — |
| 332 | #577 | — | 14 | 2 | no | — |
| 333 | #577 | — | 14 | 2 | no | — |
| 334 | #575 | — | 7 | 1 | no | — |
| 335 | #575 | — | 7 | 1 | no | — |
| 336 | #575 | — | 14 | 2 | no | — |
| 337 | C2×#137 | — | 7 | 1 | no | — |
| 338 | C2×#137 | — | 7 | 1 | no | — |
| 339 | C2×#137 | — | 7 | 1 | no | — |
| 340 | C2×#137 | — | 14 | 2 | no | — |
| 341 | C2×#137 | C2×D7 | 1 | 1 | yes | characteristic |
| 342 | C2×#137 | C2×D7 | 1 | 1 | yes | characteristic |
| 343 | C22×Q16 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 344 | #568 | — | 7 | 1 | no | — |
| 345 | #568 | — | 7 | 1 | no | — |
| 346 | #568 | — | 7 | 1 | no | — |
| 347 | #536 | — | 7 | 1 | no | — |
| 348 | #473 | — | 14 | 2 | no | — |
| 349 | #473 | — | 14 | 2 | no | — |
| 350 | #471 | — | 14 | 2 | no | — |
| 351 | #471 | — | 14 | 2 | no | — |
| 352 | #456 | — | 14 | 2 | no | — |
| 353 | #455 | — | 14 | 2 | no | — |
| 354 | #452 | — | 14 | 2 | no | — |
| 355 | #451 | — | 14 | 2 | no | — |
| 356 | #430 | — | 7 | 1 | no | — |
| 357 | #430 | — | 7 | 1 | no | — |
| 358 | #421 | — | 7 | 1 | no | — |
| 359 | #421 | — | 7 | 1 | no | — |
| 360 | #419 | — | 7 | 1 | no | — |
| 361 | #416 | — | 7 | 1 | no | — |
| 362 | #413 | — | 7 | 1 | no | — |
| 363 | #413 | — | 7 | 1 | no | — |
| 364 | #413 | — | 7 | 1 | no | — |
| 365 | #413 | — | 7 | 1 | no | — |
| 366 | #413 | — | 14 | 2 | no | — |
| 367 | C2×#101 | — | 7 | 1 | no | — |
| 368 | C2×#101 | — | 7 | 1 | no | — |
| 369 | C2×#101 | — | 14 | 2 | no | — |
| 370 | C2×#101 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 371 | C2×#101 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 372 | #408 | — | 7 | 1 | no | — |
| 373 | #408 | — | 7 | 1 | no | — |
| 374 | #408 | C2×D7 | 1 | 1 | yes | characteristic |
| 375 | #344 | — | 7 | 1 | no | — |
| 376 | #344 | — | 7 | 1 | no | — |
| 377 | #341 | — | 7 | 1 | no | — |
| 378 | #341 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 379 | C23×C7 | — | 2 | 1 | no | — |
| 380 | C23×C7 | C2×#41 | 1 | 1 | yes | characteristic |
| 381 | C22×D7 | — | 2 | 1 | no | — |
| 382 | C22×D7 | — | 2 | 1 | no | — |
| 383 | C22×D7 | — | 4 | 2 | no | — |
| 384 | C22×D7 | #121 | 1 | 2 | yes | — |
| 385 | C7×Q8 | — | 2 | 2 | no | — |
| 386 | C7×Q8 | — | 2 | 1 | no | — |
| 387 | C7×Q8 | — | 2 | 2 | no | — |
| 388 | C7×Q8 | — | 2 | 1 | no | — |
| 389 | C7×Q8 | — | 4 | 1 | no | — |
| 390 | C7×Q8 | — | 4 | 1 | no | — |
| 391 | C7×Q8 | — | 4 | 1 | no | — |
| 392 | C7×Q8 | — | 4 | 1 | no | — |
| 393 | C7×Q8 | — | 4 | 1 | no | — |
| 394 | C7×Q8 | — | 4 | 1 | no | — |
| 395 | C7×D4 | — | 2 | 1 | no | — |
| 396 | C7×D4 | — | 2 | 1 | no | — |
| 397 | C7×D4 | — | 4 | 1 | no | — |
| 398 | C7×D4 | — | 4 | 1 | no | — |
| 399 | C2×C4×C7 | — | 2 | 2 | no | — |
| 400 | C2×C4×C7 | — | 2 | 1 | no | — |
| 401 | C2×C4×C7 | — | 4 | 1 | no | — |
| 402 | C2×C4×C7 | — | 4 | 1 | no | — |
| 403 | C2×C4×C7 | — | 4 | 1 | no | — |
| 404 | C2×C4×C7 | — | 4 | 1 | no | — |
| 405 | C2×C4×C7 | — | 4 | 1 | no | — |
| 406 | C2×C4×C7 | — | 4 | 1 | no | — |
| 407 | C2×C4×C7 | — | 4 | 1 | no | — |
| 408 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 409 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 410 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 411 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 412 | C2×C4×C7 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 413 | C2×C4×C7 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 414 | C22⋊D7 | — | 2 | 2 | no | — |
| 415 | C22⋊D7 | — | 2 | 2 | no | — |
| 416 | C22⋊D7 | — | 2 | 2 | no | — |
| 417 | C22⋊D7 | — | 2 | 2 | no | — |
| 418 | C22⋊D7 | — | 4 | 2 | no | — |
| 419 | C22⋊D7 | — | 4 | 2 | no | — |
| 420 | C22⋊D7 | — | 4 | 1 | no | — |
| 421 | C22⋊D7 | — | 4 | 1 | no | — |
| 422 | C2×Dic7 | — | 2 | 1 | no | — |
| 423 | C2×Dic7 | — | 2 | 1 | no | — |
| 424 | C2×Dic7 | — | 4 | 2 | no | — |
| 425 | C2×Dic7 | — | 4 | 1 | no | — |
| 426 | C2×Dic7 | #121 | 1 | 2 | yes | — |
| 427 | D28 | — | 2 | 1 | no | — |
| 428 | D28 | — | 2 | 1 | no | — |
| 429 | D28 | — | 2 | 1 | no | — |
| 430 | D28 | — | 2 | 1 | no | — |
| 431 | D28 | — | 2 | 1 | no | — |
| 432 | D28 | — | 4 | 4 | no | — |
| 433 | D28 | — | 4 | 2 | no | — |
| 434 | D28 | #120 | 1 | 2 | yes | — |
| 435 | C4×D7 | — | 2 | 2 | no | — |
| 436 | C4×D7 | — | 2 | 2 | no | — |
| 437 | C4×D7 | — | 2 | 2 | no | — |
| 438 | C4×D7 | — | 2 | 2 | no | — |
| 439 | C4×D7 | — | 4 | 4 | no | — |
| 440 | C4×D7 | — | 4 | 4 | no | — |
| 441 | C4×D7 | — | 4 | 2 | no | — |
| 442 | C4×D7 | — | 4 | 2 | no | — |
| 443 | C4×D7 | — | 4 | 1 | no | — |
| 444 | C4×D7 | — | 4 | 1 | no | — |
| 445 | Dic14 | — | 2 | 1 | no | — |
| 446 | Dic14 | — | 2 | 1 | no | — |
| 447 | Dic14 | — | 2 | 1 | no | — |
| 448 | Dic14 | — | 2 | 1 | no | — |
| 449 | Dic14 | — | 2 | 1 | no | — |
| 450 | Dic14 | — | 4 | 4 | no | — |
| 451 | Dic14 | — | 4 | 2 | no | — |
| 452 | Dic14 | #120 | 1 | 2 | yes | — |
| 453 | C7×C8 | — | 2 | 2 | no | — |
| 454 | C7×C8 | — | 2 | 2 | no | — |
| 455 | C7×C8 | — | 4 | 1 | no | — |
| 456 | C7×C8 | — | 4 | 1 | no | — |
| 457 | C7⋊C8 | — | 2 | 2 | no | — |
| 458 | C7⋊C8 | — | 2 | 2 | no | — |
| 459 | C7⋊C8 | — | 4 | 1 | no | — |
| 460 | C7⋊C8 | — | 4 | 1 | no | — |
| 461 | 2−1+4 | — | 14 | 2 | no | — |
| 462 | 2−1+4 | — | 14 | 2 | no | — |
| 463 | 2−1+4 | — | 14 | 1 | no | — |
| 464 | 2−1+4 | — | 14 | 1 | no | — |
| 465 | 2−1+4 | — | 14 | 1 | no | — |
| 466 | 2−1+4 | — | 28 | 1 | no | — |
| 467 | 2−1+4 | — | 28 | 1 | no | — |
| 468 | H(5,𝔽2) | — | 14 | 2 | no | — |
| 469 | H(5,𝔽2) | — | 14 | 1 | no | — |
| 470 | H(5,𝔽2) | — | 14 | 1 | no | — |
| 471 | H(5,𝔽2) | — | 14 | 1 | no | — |
| 472 | C2×#41 | — | 7 | 1 | no | — |
| 473 | C2×#41 | — | 7 | 2 | no | — |
| 474 | C2×#41 | — | 7 | 1 | no | — |
| 475 | C2×#41 | — | 7 | 1 | no | — |
| 476 | C2×#41 | — | 14 | 2 | no | — |
| 477 | C2×#41 | — | 14 | 2 | no | — |
| 478 | C2×#41 | — | 14 | 1 | no | — |
| 479 | C2×#41 | — | 28 | 1 | no | — |
| 480 | C2×#41 | — | 28 | 1 | no | — |
| 481 | C2×#41 | C22×D7 | 1 | 1 | yes | characteristic |
| 482 | C22×Q8 | — | 7 | 2 | no | — |
| 483 | C22×Q8 | — | 14 | 1 | no | — |
| 484 | C22×Q8 | C22×D7 | 1 | 1 | yes | characteristic |
| 485 | C22×Q8 | C22×D7 | 1 | 1 | yes | characteristic |
| 486 | #137 | — | 2 | 2 | no | — |
| 487 | #137 | — | 2 | 2 | no | — |
| 488 | #137 | — | 2 | 2 | no | — |
| 489 | #137 | — | 4 | 1 | no | — |
| 490 | #137 | — | 7 | 2 | no | — |
| 491 | #137 | — | 7 | 2 | no | — |
| 492 | #137 | — | 14 | 1 | no | — |
| 493 | #137 | — | 14 | 2 | no | — |
| 494 | #137 | — | 14 | 2 | no | — |
| 495 | #137 | — | 14 | 4 | no | — |
| 496 | #137 | — | 14 | 4 | no | — |
| 497 | #137 | — | 14 | 4 | no | — |
| 498 | #137 | — | 14 | 1 | no | — |
| 499 | #137 | — | 14 | 2 | no | — |
| 500 | #137 | — | 14 | 2 | no | — |
| 501 | #137 | — | 14 | 2 | no | — |
| 502 | #137 | — | 28 | 1 | no | — |
| 503 | AGL(1,ℤ/8) | — | 7 | 2 | no | — |
| 504 | AGL(1,ℤ/8) | — | 7 | 2 | no | — |
| 505 | AGL(1,ℤ/8) | — | 14 | 1 | no | — |
| 506 | AGL(1,ℤ/8) | — | 14 | 4 | no | — |
| 507 | AGL(1,ℤ/8) | — | 14 | 1 | no | — |
| 508 | #135 | — | 14 | 2 | no | — |
| 509 | #135 | — | 14 | 4 | no | — |
| 510 | #135 | — | 14 | 4 | no | — |
| 511 | #135 | — | 14 | 2 | no | — |
| 512 | C2×Q16 | — | 2 | 1 | no | — |
| 513 | C2×Q16 | — | 2 | 2 | no | — |
| 514 | C2×Q16 | — | 2 | 1 | no | — |
| 515 | C2×Q16 | — | 4 | 1 | no | — |
| 516 | C2×Q16 | — | 4 | 1 | no | — |
| 517 | C2×Q16 | — | 14 | 4 | no | — |
| 518 | C2×Q16 | — | 14 | 1 | no | — |
| 519 | C2×Q16 | — | 14 | 1 | no | — |
| 520 | C2×Q16 | — | 14 | 1 | no | — |
| 521 | C2×SD16 | — | 2 | 1 | no | — |
| 522 | C2×SD16 | — | 2 | 1 | no | — |
| 523 | C2×SD16 | — | 14 | 4 | no | — |
| 524 | C2×SD16 | — | 14 | 1 | no | — |
| 525 | C2×SD16 | — | 14 | 1 | no | — |
| 526 | C2×SD16 | — | 14 | 1 | no | — |
| 527 | #131 | — | 14 | 2 | no | — |
| 528 | #131 | — | 14 | 2 | no | — |
| 529 | #131 | — | 14 | 2 | no | — |
| 530 | #131 | — | 14 | 2 | no | — |
| 531 | #131 | — | 28 | 1 | no | — |
| 532 | #131 | — | 28 | 1 | no | — |
| 533 | C2×M16 | — | 7 | 1 | no | — |
| 534 | C2×M16 | — | 7 | 1 | no | — |
| 535 | C2×M16 | — | 7 | 1 | no | — |
| 536 | C2×M16 | — | 7 | 1 | no | — |
| 537 | C2×M16 | — | 14 | 2 | no | — |
| 538 | C2×M16 | — | 14 | 2 | no | — |
| 539 | C2×M16 | — | 14 | 2 | no | — |
| 540 | C2×M16 | C22×D7 | 1 | 1 | yes | characteristic |
| 541 | C2×M16 | C22×D7 | 1 | 1 | yes | characteristic |
| 542 | C2×M16 | C22×D7 | 1 | 1 | yes | characteristic |
| 543 | C22×C8 | C22×D7 | 1 | 1 | yes | characteristic |
| 544 | C4⋊Q8 | — | 14 | 1 | no | — |
| 545 | #124 | — | 14 | 1 | no | — |
| 546 | #123 | — | 14 | 2 | no | — |
| 547 | C22⋊Q8 | — | 14 | 2 | no | — |
| 548 | #117 | — | 7 | 1 | no | — |
| 549 | #108 | — | 14 | 2 | no | — |
| 550 | #108 | — | 14 | 2 | no | — |
| 551 | #104 | — | 14 | 2 | no | — |
| 552 | #104 | — | 14 | 2 | no | — |
| 553 | #103 | — | 14 | 1 | no | — |
| 554 | #103 | — | 14 | 2 | no | — |
| 555 | #102 | — | 14 | 1 | no | — |
| 556 | #101 | — | 2 | 2 | no | — |
| 557 | #101 | — | 2 | 2 | no | — |
| 558 | #101 | — | 7 | 2 | no | — |
| 559 | #101 | — | 14 | 1 | no | — |
| 560 | #101 | — | 14 | 1 | no | — |
| 561 | #101 | — | 14 | 2 | no | — |
| 562 | #101 | — | 14 | 2 | no | — |
| 563 | #101 | — | 14 | 1 | no | — |
| 564 | #100 | — | 7 | 2 | no | — |
| 565 | #100 | — | 14 | 1 | no | — |
| 566 | #100 | — | 14 | 1 | no | — |
| 567 | #100 | — | 14 | 1 | no | — |
| 568 | C22⋊C8 | — | 4 | 1 | no | — |
| 569 | C22⋊C8 | — | 14 | 2 | no | — |
| 570 | C22⋊C8 | — | 28 | 1 | no | — |
| 571 | C22×C7 | — | 4 | 1 | no | — |
| 572 | C22×C7 | — | 4 | 1 | no | — |
| 573 | C22×C7 | — | 8 | 1 | no | — |
| 574 | C22×C7 | C2×#121 | 1 | 1 | yes | characteristic |
| 575 | C22×C7 | #546 | 1 | 1 | yes | characteristic |
| 576 | C22×C7 | #546 | 1 | 1 | yes | characteristic |
| 577 | C2×D7 | — | 2 | 2 | no | — |
| 578 | C2×D7 | — | 2 | 2 | no | — |
| 579 | C2×D7 | — | 4 | 2 | no | — |
| 580 | C2×D7 | — | 4 | 1 | no | — |
| 581 | C2×D7 | — | 8 | 1 | no | — |
| 582 | C2×D7 | — | 8 | 1 | no | — |
| 583 | C2×D7 | — | 16 | 2 | no | — |
| 584 | C4×C7 | — | 4 | 1 | no | — |
| 585 | C4×C7 | — | 4 | 2 | no | — |
| 586 | C4×C7 | — | 8 | 1 | no | — |
| 587 | C4×C7 | C2×#120 | 1 | 1 | yes | characteristic |
| 588 | C4×C7 | #534 | 1 | 1 | yes | characteristic |
| 589 | C4×C7 | D42 | 1 | 1 | yes | characteristic |
| 590 | C4×C7 | D42 | 1 | 1 | yes | characteristic |
| 591 | Dic7 | — | 2 | 2 | no | — |
| 592 | Dic7 | — | 2 | 2 | no | — |
| 593 | Dic7 | — | 4 | 1 | no | — |
| 594 | Dic7 | — | 8 | 1 | no | — |
| 595 | #41 | — | 2 | 1 | no | — |
| 596 | #41 | — | 2 | 1 | no | — |
| 597 | #41 | — | 2 | 1 | no | — |
| 598 | #41 | — | 2 | 1 | no | — |
| 599 | #41 | — | 7 | 2 | no | — |
| 600 | #41 | — | 7 | 2 | no | — |
| 601 | #41 | — | 14 | 1 | no | — |
| 602 | #41 | — | 14 | 1 | no | — |
| 603 | #41 | — | 14 | 1 | no | — |
| 604 | #41 | — | 14 | 1 | no | — |
| 605 | #41 | — | 14 | 1 | no | — |
| 606 | #41 | — | 14 | 1 | no | — |
| 607 | #41 | — | 14 | 2 | no | — |
| 608 | #41 | — | 14 | 4 | no | — |
| 609 | #41 | — | 14 | 2 | no | — |
| 610 | #41 | — | 14 | 1 | no | — |
| 611 | #41 | — | 14 | 1 | no | — |
| 612 | #41 | — | 14 | 1 | no | — |
| 613 | #41 | — | 14 | 1 | no | — |
| 614 | #41 | — | 28 | 2 | no | — |
| 615 | #41 | — | 28 | 2 | no | — |
| 616 | #41 | — | 28 | 4 | no | — |
| 617 | #41 | — | 28 | 4 | no | — |
| 618 | #41 | — | 28 | 1 | no | — |
| 619 | #41 | — | 28 | 1 | no | — |
| 620 | #41 | — | 28 | 2 | no | — |
| 621 | #41 | — | 28 | 2 | no | — |
| 622 | #41 | — | 28 | 2 | no | — |
| 623 | #41 | — | 28 | 2 | no | — |
| 624 | #41 | — | 28 | 2 | no | — |
| 625 | #41 | — | 28 | 1 | no | — |
| 626 | #41 | — | 28 | 1 | no | — |
| 627 | C2×Q8 | — | 2 | 1 | no | — |
| 628 | C2×Q8 | — | 2 | 1 | no | — |
| 629 | C2×Q8 | — | 2 | 1 | no | — |
| 630 | C2×Q8 | — | 2 | 1 | no | — |
| 631 | C2×Q8 | — | 2 | 1 | no | — |
| 632 | C2×Q8 | — | 2 | 1 | no | — |
| 633 | C2×Q8 | — | 2 | 1 | no | — |
| 634 | C2×Q8 | — | 2 | 1 | no | — |
| 635 | C2×Q8 | — | 2 | 1 | no | — |
| 636 | C2×Q8 | — | 2 | 1 | no | — |
| 637 | C2×Q8 | — | 2 | 1 | no | — |
| 638 | C2×Q8 | — | 7 | 1 | no | — |
| 639 | C2×Q8 | — | 7 | 1 | no | — |
| 640 | C2×Q8 | — | 7 | 1 | no | — |
| 641 | C2×Q8 | — | 14 | 2 | no | — |
| 642 | C2×Q8 | — | 14 | 4 | no | — |
| 643 | C2×Q8 | — | 14 | 2 | no | — |
| 644 | C2×Q8 | — | 28 | 1 | no | — |
| 645 | C2×Q8 | — | 28 | 2 | no | — |
| 646 | C2×Q8 | — | 28 | 2 | no | — |
| 647 | C2×Q8 | — | 28 | 2 | no | — |
| 648 | C2×Q8 | — | 28 | 1 | no | — |
| 649 | C2×Q8 | D4×D7 | 1 | 1 | yes | characteristic |
| 650 | C2×Q8 | D4×D7 | 1 | 2 | yes | — |
| 651 | C2×D4 | — | 2 | 1 | no | — |
| 652 | C2×D4 | — | 7 | 2 | no | — |
| 653 | C2×D4 | — | 7 | 1 | no | — |
| 654 | C2×D4 | — | 7 | 1 | no | — |
| 655 | C2×D4 | — | 7 | 1 | no | — |
| 656 | C2×D4 | — | 14 | 2 | no | — |
| 657 | C2×D4 | — | 14 | 2 | no | — |
| 658 | C2×D4 | — | 14 | 1 | no | — |
| 659 | C2×D4 | — | 14 | 1 | no | — |
| 660 | C2×D4 | — | 28 | 1 | no | — |
| 661 | C2×D4 | — | 28 | 1 | no | — |
| 662 | C2×D4 | — | 28 | 2 | no | — |
| 663 | C2×D4 | — | 28 | 2 | no | — |
| 664 | C2×D4 | — | 28 | 2 | no | — |
| 665 | C2×D4 | D4×D7 | 1 | 1 | yes | characteristic |
| 666 | C22×C4 | — | 2 | 1 | no | — |
| 667 | C22×C4 | — | 2 | 1 | no | — |
| 668 | C22×C4 | — | 2 | 1 | no | — |
| 669 | C22×C4 | — | 7 | 2 | no | — |
| 670 | C22×C4 | — | 14 | 2 | no | — |
| 671 | C22×C4 | — | 14 | 2 | no | — |
| 672 | C22×C4 | — | 14 | 1 | no | — |
| 673 | C22×C4 | — | 14 | 1 | no | — |
| 674 | C22×C4 | — | 28 | 2 | no | — |
| 675 | C22×C4 | C23×D7 | 1 | 1 | yes | characteristic |
| 676 | Q16 | — | 2 | 4 | no | — |
| 677 | Q16 | — | 4 | 2 | no | — |
| 678 | Q16 | — | 4 | 4 | no | — |
| 679 | Q16 | — | 14 | 2 | no | — |
| 680 | Q16 | — | 14 | 2 | no | — |
| 681 | Q16 | — | 14 | 4 | no | — |
| 682 | Q16 | — | 28 | 2 | no | — |
| 683 | Q16 | — | 28 | 2 | no | — |
| 684 | SD16 | — | 2 | 4 | no | — |
| 685 | SD16 | — | 4 | 2 | no | — |
| 686 | SD16 | — | 14 | 2 | no | — |
| 687 | SD16 | — | 14 | 2 | no | — |
| 688 | SD16 | — | 14 | 2 | no | — |
| 689 | SD16 | — | 14 | 2 | no | — |
| 690 | SD16 | — | 14 | 4 | no | — |
| 691 | SD16 | — | 28 | 2 | no | — |
| 692 | SD16 | — | 28 | 2 | no | — |
| 693 | D8 | — | 14 | 2 | no | — |
| 694 | D8 | — | 14 | 2 | no | — |
| 695 | M16 | — | 2 | 1 | no | — |
| 696 | M16 | — | 2 | 1 | no | — |
| 697 | M16 | — | 2 | 1 | no | — |
| 698 | M16 | — | 2 | 1 | no | — |
| 699 | M16 | — | 7 | 2 | no | — |
| 700 | M16 | — | 7 | 2 | no | — |
| 701 | M16 | — | 14 | 4 | no | — |
| 702 | M16 | — | 14 | 1 | no | — |
| 703 | M16 | — | 14 | 1 | no | — |
| 704 | M16 | — | 14 | 1 | no | — |
| 705 | M16 | — | 14 | 1 | no | — |
| 706 | M16 | — | 14 | 1 | no | — |
| 707 | M16 | — | 14 | 1 | no | — |
| 708 | M16 | — | 28 | 2 | no | — |
| 709 | M16 | — | 28 | 2 | no | — |
| 710 | M16 | D4×D7 | 1 | 2 | yes | — |
| 711 | M16 | D4×D7 | 1 | 2 | yes | — |
| 712 | C2×C8 | — | 2 | 1 | no | — |
| 713 | C2×C8 | — | 2 | 1 | no | — |
| 714 | C2×C8 | — | 2 | 1 | no | — |
| 715 | C2×C8 | — | 2 | 1 | no | — |
| 716 | C2×C8 | — | 2 | 1 | no | — |
| 717 | C2×C8 | — | 2 | 1 | no | — |
| 718 | C2×C8 | — | 14 | 4 | no | — |
| 719 | C2×C8 | — | 14 | 1 | no | — |
| 720 | C2×C8 | — | 14 | 1 | no | — |
| 721 | C2×C8 | — | 14 | 1 | no | — |
| 722 | C2×C8 | — | 14 | 1 | no | — |
| 723 | C2×C8 | — | 28 | 2 | no | — |
| 724 | C2×C8 | — | 28 | 2 | no | — |
| 725 | C4⋊C4 | — | 14 | 1 | no | — |
| 726 | C4⋊C4 | — | 28 | 2 | no | — |
| 727 | C22⋊C4 | — | 14 | 1 | no | — |
| 728 | C22⋊C4 | — | 28 | 2 | no | — |
| 729 | C42 | — | 14 | 1 | no | — |
| 730 | C2×C7 | — | 2 | 1 | no | — |
| 731 | C2×C7 | — | 2 | 1 | no | — |
| 732 | C2×C7 | — | 2 | 1 | no | — |
| 733 | C2×C7 | — | 8 | 1 | no | — |
| 734 | C2×C7 | #2410 | 1 | 1 | yes | characteristic |
| 735 | D7 | — | 4 | 2 | no | — |
| 736 | D7 | — | 4 | 2 | no | — |
| 737 | D7 | — | 8 | 1 | no | — |
| 738 | C23 | — | 2 | 1 | no | — |
| 739 | C23 | — | 7 | 2 | no | — |
| 740 | C23 | — | 14 | 1 | no | — |
| 741 | C23 | — | 14 | 1 | no | — |
| 742 | C23 | — | 28 | 2 | no | — |
| 743 | C23 | D7×#41 | 1 | 1 | yes | characteristic |
| 744 | Q8 | — | 2 | 2 | no | — |
| 745 | Q8 | — | 2 | 1 | no | — |
| 746 | Q8 | — | 2 | 2 | no | — |
| 747 | Q8 | — | 2 | 1 | no | — |
| 748 | Q8 | — | 4 | 1 | no | — |
| 749 | Q8 | — | 4 | 1 | no | — |
| 750 | Q8 | — | 4 | 1 | no | — |
| 751 | Q8 | — | 4 | 1 | no | — |
| 752 | Q8 | — | 4 | 1 | no | — |
| 753 | Q8 | — | 4 | 1 | no | — |
| 754 | Q8 | — | 7 | 2 | no | — |
| 755 | Q8 | — | 14 | 1 | no | — |
| 756 | Q8 | — | 14 | 1 | no | — |
| 757 | Q8 | — | 14 | 1 | no | — |
| 758 | Q8 | — | 14 | 1 | no | — |
| 759 | Q8 | — | 14 | 1 | no | — |
| 760 | Q8 | — | 28 | 4 | no | — |
| 761 | Q8 | — | 28 | 2 | no | — |
| 762 | D4 | — | 2 | 1 | no | — |
| 763 | D4 | — | 2 | 1 | no | — |
| 764 | D4 | — | 4 | 1 | no | — |
| 765 | D4 | — | 4 | 1 | no | — |
| 766 | D4 | — | 7 | 2 | no | — |
| 767 | D4 | — | 14 | 2 | no | — |
| 768 | D4 | — | 14 | 2 | no | — |
| 769 | D4 | — | 14 | 2 | no | — |
| 770 | D4 | — | 14 | 2 | no | — |
| 771 | D4 | — | 14 | 1 | no | — |
| 772 | D4 | — | 14 | 1 | no | — |
| 773 | D4 | — | 14 | 1 | no | — |
| 774 | D4 | — | 14 | 1 | no | — |
| 775 | D4 | — | 14 | 1 | no | — |
| 776 | D4 | — | 28 | 4 | no | — |
| 777 | D4 | — | 28 | 2 | no | — |
| 778 | D4 | — | 28 | 2 | no | — |
| 779 | D4 | — | 28 | 2 | no | — |
| 780 | D4 | — | 28 | 1 | no | — |
| 781 | D4 | — | 28 | 1 | no | — |
| 782 | C2×C4 | — | 2 | 2 | no | — |
| 783 | C2×C4 | — | 2 | 1 | no | — |
| 784 | C2×C4 | — | 4 | 1 | no | — |
| 785 | C2×C4 | — | 4 | 1 | no | — |
| 786 | C2×C4 | — | 4 | 1 | no | — |
| 787 | C2×C4 | — | 4 | 1 | no | — |
| 788 | C2×C4 | — | 4 | 1 | no | — |
| 789 | C2×C4 | — | 4 | 1 | no | — |
| 790 | C2×C4 | — | 4 | 1 | no | — |
| 791 | C2×C4 | — | 7 | 2 | no | — |
| 792 | C2×C4 | — | 14 | 1 | no | — |
| 793 | C2×C4 | — | 14 | 2 | no | — |
| 794 | C2×C4 | — | 14 | 2 | no | — |
| 795 | C2×C4 | — | 14 | 2 | no | — |
| 796 | C2×C4 | — | 14 | 2 | no | — |
| 797 | C2×C4 | — | 14 | 1 | no | — |
| 798 | C2×C4 | — | 28 | 4 | no | — |
| 799 | C2×C4 | — | 28 | 4 | no | — |
| 800 | C2×C4 | — | 28 | 2 | no | — |
| 801 | C2×C4 | — | 28 | 2 | no | — |
| 802 | C2×C4 | — | 28 | 2 | no | — |
| 803 | C2×C4 | — | 28 | 1 | no | — |
| 804 | C2×C4 | — | 28 | 1 | no | — |
| 805 | C2×C4 | — | 28 | 1 | no | — |
| 806 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 807 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 808 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 809 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 810 | C2×C4 | #6548 | 1 | 1 | yes | characteristic |
| 811 | C2×C4 | #6548 | 1 | 1 | yes | characteristic |
| 812 | C8 | — | 2 | 2 | no | — |
| 813 | C8 | — | 2 | 2 | no | — |
| 814 | C8 | — | 4 | 1 | no | — |
| 815 | C8 | — | 4 | 1 | no | — |
| 816 | C8 | — | 14 | 2 | no | — |
| 817 | C8 | — | 14 | 2 | no | — |
| 818 | C8 | — | 28 | 1 | no | — |
| 819 | C8 | — | 28 | 1 | no | — |
| 820 | C7 | #24423 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 821 | C22 | — | 4 | 1 | no | — |
| 822 | C22 | — | 4 | 1 | no | — |
| 823 | C22 | — | 8 | 1 | no | — |
| 824 | C22 | — | 14 | 2 | no | — |
| 825 | C22 | — | 14 | 2 | no | — |
| 826 | C22 | — | 28 | 2 | no | — |
| 827 | C22 | — | 28 | 1 | no | — |
| 828 | C22 | — | 56 | 1 | no | — |
| 829 | C22 | — | 56 | 1 | no | — |
| 830 | C22 | — | 112 | 2 | no | — |
| 831 | C22 | D7×#121 | 1 | 1 | yes | characteristic |
| 832 | C22 | #90301 | 1 | 1 | yes | characteristic |
| 833 | C22 | #90303 | 1 | 1 | yes | characteristic |
| 834 | C4 | — | 4 | 1 | no | — |
| 835 | C4 | — | 4 | 2 | no | — |
| 836 | C4 | — | 8 | 1 | no | — |
| 837 | C4 | — | 14 | 2 | no | — |
| 838 | C4 | — | 14 | 2 | no | — |
| 839 | C4 | — | 28 | 1 | no | — |
| 840 | C4 | — | 56 | 1 | no | — |
| 841 | C4 | D7×#120 | 1 | 1 | yes | characteristic |
| 842 | C4 | #90280 | 1 | 1 | yes | characteristic |
| 843 | C4 | #90281 | 1 | 1 | yes | characteristic |
| 844 | C4 | #90408 | 1 | 1 | yes | characteristic |
| 845 | C2 | — | 2 | 1 | no | — |
| 846 | C2 | — | 2 | 1 | no | — |
| 847 | C2 | — | 2 | 1 | no | — |
| 848 | C2 | — | 8 | 1 | no | — |
| 849 | C2 | — | 28 | 2 | no | — |
| 850 | C2 | — | 28 | 2 | no | — |
| 851 | C2 | — | 56 | 1 | no | — |
| 852 | C2 | #11734200 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #11741443 | C2 | semidirect |
| 3. #11741438 | C2 | semidirect |
| 4. #11741329 | C2 | semidirect |
| 5. #11736157 | C2 | semidirect |
| 6. #11736151 | C2 | semidirect |
| 7. C7×#2020 | C2 | semidirect |
| 8. #11729858 | C2 | semidirect |
| 9. #11729828 | C2 | semidirect |
| 10. #11727878 | C2 | semidirect |
| 11. #11727864 | C2 | semidirect |
| 12. #11727766 | C2 | semidirect |
| 13. #11727763 | C2 | semidirect |
| 14. #11726701 | C2 | semidirect |
| 15. #11726699 | C2 | semidirect |
| 20. C22×C7×Q16 | C22 | semidirect |
| 25. C2×#6505 | C22 | semidirect |
| 34. #90436 | C22 | semidirect |
| 35. #90436 | C22 | semidirect |
| 36. C2×C7×#101 | C22 | semidirect |
| 37. C2×C7×#101 | C22 | semidirect |
| 41. C2×#6410 | C22 | semidirect |
| 42. C2×#6410 | C22 | semidirect |
| 43. #89997 | C22 | semidirect |
| 54. #89897 | C22 | semidirect |
| 55. #89896 | C22 | semidirect |
| 56. #89885 | C22 | semidirect |
| 63. C7×#341 | C22 | semidirect |
| 64. #89354 | C22 | semidirect |
| 65. #89351 | C22 | semidirect |
| 66. #89347 | C22 | semidirect |
| 187. #2020 | D7 | semidirect |
| 343. C22×Q16 | C2×D7 | semidirect |
| 370. C2×#101 | C2×D7 | semidirect |
| 371. C2×#101 | C2×D7 | semidirect |
| 378. #341 | C2×D7 | semidirect |
| 820. C7 | #24423 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11744265 | 2 |
| #11741443 | 2 |
| #11741438 | 2 |
| #11741329 | 2 |
| #11736157 | 2 |
| #11736151 | 2 |
| C7×#2020 | 2 |
| #11729858 | 2 |
| #11729828 | 2 |
| #11727878 | 2 |
| #11727864 | 2 |
| #11727766 | 2 |
| #11727763 | 2 |
| #11726701 | 2 |
| #11726699 | 2 |
| #24423 | 7 |