Finite Group DatabasebetaFinite Group DatabasebetaOrder 1792.
10794 conjugacy classes of subgroups.
The subgroup lattice has 1234 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | D7×#585 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×D7×2−1+4 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C7×#3586 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11744367 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11744355 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11744279 | C2 | 1 | 8 | yes | maximal, complemented |
| 7 | D7×#578 | C2 | 1 | 8 | yes | maximal, complemented |
| 8 | #11744276 | C2 | 1 | 8 | yes | maximal, complemented |
| 9 | D7×#577 | C2 | 1 | 8 | yes | maximal, complemented |
| 10 | #11744269 | C2 | 1 | 6 | yes | maximal, complemented |
| 11 | D7×#575 | C2 | 1 | 6 | yes | maximal, complemented |
| 12 | #11744265 | C2 | 1 | 6 | yes | maximal, complemented |
| 13 | C2×D7×#137 | C2 | 1 | 6 | yes | maximal, complemented |
| 14 | #11744236 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | D7×#568 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C7×#585 | C22 | 1 | 1 | yes | characteristic, complemented |
| 17 | C2×C7×2−1+4 | C22 | 1 | 1 | yes | characteristic, complemented |
| 18 | #90620 | — | 2 | 1 | no | — |
| 19 | #90620 | C22 | 1 | 4 | yes | complemented |
| 20 | D7×2−1+4 | — | 2 | 4 | no | — |
| 21 | D7×2−1+4 | — | 2 | 4 | no | — |
| 22 | D7×2−1+4 | — | 2 | 1 | no | — |
| 23 | D7×2−1+4 | C22 | 1 | 8 | yes | complemented |
| 24 | D7×2−1+4 | C22 | 1 | 4 | yes | complemented |
| 25 | D7×2−1+4 | C22 | 1 | 8 | yes | complemented |
| 26 | #90618 | — | 2 | 3 | no | — |
| 27 | #90618 | C22 | 1 | 4 | yes | complemented |
| 28 | D7×H(5,𝔽2) | — | 2 | 3 | no | — |
| 29 | D7×H(5,𝔽2) | C22 | 1 | 4 | yes | complemented |
| 30 | #90616 | — | 2 | 4 | no | — |
| 31 | #90616 | C22 | 1 | 6 | yes | complemented |
| 32 | #90616 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | C2×#6554 | — | 2 | 3 | no | — |
| 34 | C2×#6554 | C22 | 1 | 3 | yes | complemented |
| 35 | C2×#6554 | C22 | 1 | 1 | yes | characteristic, complemented |
| 36 | C2×D7×#41 | — | 2 | 4 | no | — |
| 37 | C2×D7×#41 | — | 2 | 3 | no | — |
| 38 | C2×D7×#41 | C22 | 1 | 6 | yes | — |
| 39 | C2×D7×#41 | C22 | 1 | 1 | yes | characteristic |
| 40 | C2×D7×#41 | C22 | 1 | 3 | yes | complemented |
| 41 | C2×#6551 | — | 2 | 1 | no | — |
| 42 | C2×#6551 | C22 | 1 | 3 | yes | complemented |
| 43 | C22×Q8×D7 | — | 2 | 1 | no | — |
| 44 | C22×Q8×D7 | C22 | 1 | 3 | yes | complemented |
| 45 | C7×#578 | C22 | 1 | 8 | yes | complemented |
| 46 | C7×#577 | C22 | 1 | 8 | yes | complemented |
| 47 | C7×#575 | C22 | 1 | 6 | yes | complemented |
| 48 | C2×C7×#137 | C22 | 1 | 6 | yes | complemented |
| 49 | C7×#568 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | #90529 | C22 | 1 | 8 | yes | complemented |
| 51 | #90529 | C22 | 1 | 8 | yes | complemented |
| 52 | #90528 | C22 | 1 | 8 | yes | complemented |
| 53 | #90527 | C22 | 1 | 8 | yes | complemented |
| 54 | C2×#6514 | C22 | 1 | 6 | yes | complemented |
| 55 | #90513 | C22 | 1 | 6 | yes | complemented |
| 56 | #90513 | C22 | 1 | 6 | yes | complemented |
| 57 | #90510 | C22 | 1 | 1 | yes | characteristic, complemented |
| 58 | C2×#6505 | C22 | 1 | 6 | yes | complemented |
| 59 | #90470 | C22 | 1 | 24 | yes | complemented |
| 60 | #90470 | C22 | 1 | 24 | yes | complemented |
| 61 | #90469 | C22 | 1 | 24 | yes | complemented |
| 62 | #90468 | C22 | 1 | 12 | yes | complemented |
| 63 | #90468 | C22 | 1 | 12 | yes | complemented |
| 64 | D7×#137 | C22 | 1 | 12 | yes | complemented |
| 65 | D7×#137 | C22 | 1 | 24 | yes | complemented |
| 66 | D7×#137 | C22 | 1 | 12 | yes | complemented |
| 67 | D7×#137 | C22 | 1 | 24 | yes | complemented |
| 68 | D7×#137 | C22 | 1 | 24 | yes | complemented |
| 69 | #90466 | C22 | 1 | 24 | yes | complemented |
| 70 | #90464 | C22 | 1 | 12 | yes | complemented |
| 71 | #90464 | C22 | 1 | 12 | yes | complemented |
| 72 | D7×AGL(1,ℤ/8) | C22 | 1 | 4 | yes | complemented |
| 73 | D7×AGL(1,ℤ/8) | C22 | 1 | 12 | yes | complemented |
| 74 | #90462 | C22 | 1 | 24 | yes | complemented |
| 75 | #90461 | C22 | 1 | 24 | yes | complemented |
| 76 | #90459 | C22 | 1 | 24 | yes | complemented |
| 77 | D7×#135 | C22 | 1 | 24 | yes | complemented |
| 78 | #90457 | C22 | 1 | 24 | yes | complemented |
| 79 | C2×#6481 | C22 | 1 | 12 | yes | complemented |
| 80 | C2×D7×Q16 | C22 | 1 | 12 | yes | complemented |
| 81 | #90453 | C22 | 1 | 24 | yes | complemented |
| 82 | C2×#6478 | C22 | 1 | 12 | yes | complemented |
| 83 | C2×D7×SD16 | C22 | 1 | 12 | yes | complemented |
| 84 | #90444 | C22 | 1 | 8 | yes | complemented |
| 85 | #90442 | C22 | 1 | 8 | yes | complemented |
| 86 | #90441 | C22 | 1 | 8 | yes | complemented |
| 87 | D7×#131 | C22 | 1 | 8 | yes | complemented |
| 88 | #90439 | C22 | 1 | 6 | yes | complemented |
| 89 | C2×#6472 | C22 | 1 | 6 | yes | complemented |
| 90 | #90436 | C22 | 1 | 6 | yes | complemented |
| 91 | C2×D7×M16 | C22 | 1 | 6 | yes | complemented |
| 92 | C2×#3586 | — | 7 | 1 | no | maximal, Sylow |
| 93 | C7×2−1+4 | — | 2 | 4 | no | — |
| 94 | C7×2−1+4 | — | 2 | 1 | no | — |
| 95 | C7×2−1+4 | C23 | 1 | 8 | yes | complemented |
| 96 | C7×2−1+4 | C23 | 1 | 4 | yes | complemented |
| 97 | C7×H(5,𝔽2) | — | 2 | 3 | no | — |
| 98 | C7×H(5,𝔽2) | C23 | 1 | 4 | yes | complemented |
| 99 | C2×C7×#41 | — | 2 | 4 | no | — |
| 100 | C2×C7×#41 | — | 2 | 3 | no | — |
| 101 | C2×C7×#41 | C23 | 1 | 6 | yes | — |
| 102 | C2×C7×#41 | C23 | 1 | 1 | yes | characteristic |
| 103 | C2×C7×#41 | C23 | 1 | 3 | yes | complemented |
| 104 | C22×C7×Q8 | — | 2 | 1 | no | — |
| 105 | C22×C7×Q8 | C23 | 1 | 3 | yes | complemented |
| 106 | #6554 | — | 2 | 4 | no | — |
| 107 | #6554 | — | 2 | 4 | no | — |
| 108 | #6554 | — | 2 | 24 | no | — |
| 109 | #6554 | — | 2 | 24 | no | — |
| 110 | #6554 | — | 2 | 12 | no | — |
| 111 | #6554 | — | 2 | 12 | no | — |
| 112 | #6554 | — | 2 | 6 | no | — |
| 113 | #6554 | C23 | 1 | 24 | yes | complemented |
| 114 | #6554 | C23 | 1 | 12 | yes | complemented |
| 115 | #6554 | C23 | 1 | 8 | yes | complemented |
| 116 | #6554 | C23 | 1 | 4 | yes | complemented |
| 117 | #6553 | — | 2 | 4 | no | — |
| 118 | #6553 | — | 2 | 12 | no | — |
| 119 | #6553 | — | 2 | 6 | no | — |
| 120 | #6553 | C23 | 1 | 12 | yes | complemented |
| 121 | #6553 | C23 | 1 | 4 | yes | complemented |
| 122 | D7×#41 | — | 2 | 4 | no | — |
| 123 | D7×#41 | — | 2 | 4 | no | — |
| 124 | D7×#41 | — | 2 | 4 | no | — |
| 125 | D7×#41 | — | 2 | 12 | no | — |
| 126 | D7×#41 | — | 2 | 12 | no | — |
| 127 | D7×#41 | — | 2 | 24 | no | — |
| 128 | D7×#41 | — | 2 | 24 | no | — |
| 129 | D7×#41 | — | 2 | 12 | no | — |
| 130 | D7×#41 | — | 2 | 6 | no | — |
| 131 | D7×#41 | — | 2 | 6 | no | — |
| 132 | D7×#41 | — | 2 | 6 | no | — |
| 133 | D7×#41 | — | 2 | 6 | no | — |
| 134 | D7×#41 | — | 2 | 6 | no | — |
| 135 | D7×#41 | — | 2 | 6 | no | — |
| 136 | D7×#41 | D4 | 1 | 4 | yes | — |
| 137 | D7×#41 | D4 | 1 | 4 | yes | — |
| 138 | D7×#41 | C23 | 1 | 12 | yes | — |
| 139 | D7×#41 | C23 | 1 | 12 | yes | — |
| 140 | D7×#41 | C23 | 1 | 12 | yes | — |
| 141 | D7×#41 | C23 | 1 | 4 | yes | — |
| 142 | D7×#41 | C23 | 1 | 12 | yes | — |
| 143 | D7×#41 | C23 | 1 | 4 | yes | — |
| 144 | D7×#41 | C23 | 1 | 4 | yes | — |
| 145 | D7×#41 | C23 | 1 | 12 | yes | complemented |
| 146 | #6551 | — | 2 | 1 | no | — |
| 147 | #6551 | — | 2 | 8 | no | — |
| 148 | #6551 | — | 2 | 8 | no | — |
| 149 | #6551 | — | 2 | 4 | no | — |
| 150 | #6551 | — | 2 | 4 | no | — |
| 151 | #6551 | — | 2 | 12 | no | — |
| 152 | #6551 | C23 | 1 | 24 | yes | complemented |
| 153 | #6551 | C23 | 1 | 12 | yes | complemented |
| 154 | C2×#1161 | — | 2 | 4 | no | — |
| 155 | C2×#1161 | — | 2 | 3 | no | — |
| 156 | C2×#1161 | D4 | 1 | 1 | yes | characteristic |
| 157 | C2×#1161 | C23 | 1 | 6 | yes | — |
| 158 | C2×#1161 | C23 | 1 | 3 | yes | complemented |
| 159 | C2×Q8×D7 | — | 2 | 1 | no | — |
| 160 | C2×Q8×D7 | — | 2 | 8 | no | — |
| 161 | C2×Q8×D7 | — | 2 | 8 | no | — |
| 162 | C2×Q8×D7 | — | 2 | 4 | no | — |
| 163 | C2×Q8×D7 | — | 2 | 3 | no | — |
| 164 | C2×Q8×D7 | — | 2 | 3 | no | — |
| 165 | C2×Q8×D7 | — | 2 | 6 | no | — |
| 166 | C2×Q8×D7 | — | 2 | 6 | no | — |
| 167 | C2×Q8×D7 | — | 2 | 3 | no | — |
| 168 | C2×Q8×D7 | D4 | 1 | 1 | yes | characteristic |
| 169 | C2×Q8×D7 | C23 | 1 | 12 | yes | — |
| 170 | C2×Q8×D7 | C23 | 1 | 6 | yes | — |
| 171 | C2×Q8×D7 | C23 | 1 | 3 | yes | — |
| 172 | C2×Q8×D7 | C23 | 1 | 12 | yes | complemented |
| 173 | C2×Q8×D7 | C23 | 1 | 6 | yes | complemented |
| 174 | #6548 | — | 2 | 3 | no | — |
| 175 | #6548 | — | 2 | 12 | no | — |
| 176 | #6548 | — | 2 | 12 | no | — |
| 177 | #6548 | — | 2 | 12 | no | — |
| 178 | #6548 | C23 | 1 | 12 | yes | complemented |
| 179 | C2×#1159 | — | 2 | 3 | no | — |
| 180 | C2×#1159 | — | 2 | 6 | no | — |
| 181 | C2×#1159 | — | 2 | 6 | no | — |
| 182 | C2×#1159 | — | 2 | 3 | no | — |
| 183 | C2×#1159 | — | 2 | 12 | no | — |
| 184 | C2×#1159 | D4 | 1 | 3 | yes | — |
| 185 | C2×#1159 | C23 | 1 | 6 | yes | — |
| 186 | C2×#1159 | C23 | 1 | 3 | yes | complemented |
| 187 | C2×D4×D7 | — | 2 | 3 | no | — |
| 188 | C2×D4×D7 | — | 2 | 6 | no | — |
| 189 | C2×D4×D7 | — | 2 | 12 | no | — |
| 190 | C2×D4×D7 | D4 | 1 | 3 | yes | — |
| 191 | C2×D4×D7 | C23 | 1 | 6 | yes | — |
| 192 | C2×D4×D7 | C23 | 1 | 1 | yes | characteristic |
| 193 | C2×#1157 | — | 2 | 6 | no | — |
| 194 | C2×#1157 | — | 2 | 12 | no | — |
| 195 | C2×#1157 | — | 2 | 3 | no | — |
| 196 | C2×#1157 | — | 2 | 3 | no | — |
| 197 | C2×#1157 | — | 2 | 6 | no | — |
| 198 | C2×#1157 | C23 | 1 | 3 | yes | — |
| 199 | C2×#1157 | C23 | 1 | 6 | yes | — |
| 200 | C2×#1157 | C23 | 1 | 3 | yes | complemented |
| 201 | C22×C4×D7 | — | 2 | 3 | no | — |
| 202 | C22×C4×D7 | — | 2 | 3 | no | — |
| 203 | C22×C4×D7 | — | 2 | 6 | no | — |
| 204 | C22×C4×D7 | C23 | 1 | 3 | yes | — |
| 205 | C22×Dic14 | — | 2 | 3 | no | — |
| 206 | C22×Dic14 | — | 2 | 3 | no | — |
| 207 | C22×Dic14 | C23 | 1 | 3 | yes | complemented |
| 208 | C7×#137 | C23 | 1 | 12 | yes | complemented |
| 209 | C7×#137 | C23 | 1 | 24 | yes | complemented |
| 210 | C7×#137 | C23 | 1 | 12 | yes | complemented |
| 211 | C7×AGL(1,ℤ/8) | C23 | 1 | 4 | yes | complemented |
| 212 | C7×AGL(1,ℤ/8) | C23 | 1 | 12 | yes | complemented |
| 213 | C7×#135 | C23 | 1 | 24 | yes | complemented |
| 214 | C2×C7×Q16 | C23 | 1 | 12 | yes | complemented |
| 215 | C2×C7×SD16 | C23 | 1 | 12 | yes | complemented |
| 216 | C7×#131 | C23 | 1 | 8 | yes | complemented |
| 217 | C2×C7×M16 | C23 | 1 | 6 | yes | complemented |
| 218 | #6514 | C23 | 1 | 24 | yes | complemented |
| 219 | #6514 | C23 | 1 | 12 | yes | complemented |
| 220 | #6514 | C23 | 1 | 12 | yes | complemented |
| 221 | #6513 | C23 | 1 | 24 | yes | complemented |
| 222 | #6513 | C23 | 1 | 24 | yes | complemented |
| 223 | #6512 | C23 | 1 | 12 | yes | complemented |
| 224 | #6512 | C23 | 1 | 4 | yes | complemented |
| 225 | #6511 | C23 | 1 | 8 | yes | complemented |
| 226 | C2×#1144 | C23 | 1 | 12 | yes | complemented |
| 227 | C2×#1144 | C23 | 1 | 12 | yes | complemented |
| 228 | #6505 | C23 | 1 | 24 | yes | complemented |
| 229 | #6505 | C23 | 1 | 12 | yes | complemented |
| 230 | #6505 | C23 | 1 | 12 | yes | complemented |
| 231 | C2×#1143 | C23 | 1 | 12 | yes | complemented |
| 232 | C2×#1142 | C23 | 1 | 12 | yes | complemented |
| 233 | #6495 | C23 | 1 | 12 | yes | complemented |
| 234 | #6495 | C23 | 1 | 4 | yes | complemented |
| 235 | C2×#1136 | C23 | 1 | 6 | yes | complemented |
| 236 | #6482 | C23 | 1 | 24 | yes | complemented |
| 237 | #6481 | C23 | 1 | 24 | yes | complemented |
| 238 | #6481 | C23 | 1 | 48 | yes | complemented |
| 239 | #6481 | C23 | 1 | 24 | yes | complemented |
| 240 | D7×Q16 | C23 | 1 | 24 | yes | — |
| 241 | D7×Q16 | C23 | 1 | 48 | yes | complemented |
| 242 | #6479 | C23 | 1 | 24 | yes | complemented |
| 243 | #6479 | C23 | 1 | 24 | yes | complemented |
| 244 | #6478 | C23 | 1 | 24 | yes | complemented |
| 245 | #6478 | C23 | 1 | 48 | yes | complemented |
| 246 | #6478 | C23 | 1 | 24 | yes | complemented |
| 247 | #6477 | C23 | 1 | 24 | yes | complemented |
| 248 | #6477 | C23 | 1 | 8 | yes | complemented |
| 249 | D7×SD16 | C23 | 1 | 24 | yes | — |
| 250 | D7×SD16 | C23 | 1 | 8 | yes | — |
| 251 | D7×SD16 | C23 | 1 | 48 | yes | complemented |
| 252 | #6475 | C23 | 1 | 24 | yes | complemented |
| 253 | #6474 | C23 | 1 | 8 | yes | complemented |
| 254 | #6474 | C23 | 1 | 24 | yes | complemented |
| 255 | D7×D8 | C23 | 1 | 8 | yes | — |
| 256 | #6472 | C23 | 1 | 12 | yes | complemented |
| 257 | #6472 | C23 | 1 | 24 | yes | complemented |
| 258 | #6472 | C23 | 1 | 12 | yes | complemented |
| 259 | #6471 | C23 | 1 | 4 | yes | complemented |
| 260 | #6471 | C23 | 1 | 12 | yes | complemented |
| 261 | #6470 | C23 | 1 | 24 | yes | complemented |
| 262 | D7×M16 | C23 | 1 | 4 | yes | — |
| 263 | D7×M16 | C23 | 1 | 12 | yes | — |
| 264 | D7×M16 | C23 | 1 | 12 | yes | complemented |
| 265 | D7×M16 | C23 | 1 | 12 | yes | complemented |
| 266 | C2×Dic28 | C23 | 1 | 12 | yes | complemented |
| 267 | #6467 | C23 | 1 | 24 | yes | complemented |
| 268 | C2×#1132 | C23 | 1 | 12 | yes | complemented |
| 269 | #6464 | C23 | 1 | 24 | yes | complemented |
| 270 | C2×#1131 | C23 | 1 | 12 | yes | complemented |
| 271 | C2×C8×D7 | C23 | 1 | 12 | yes | — |
| 272 | C2×#585 | — | 7 | 1 | no | — |
| 273 | C22×2−1+4 | — | 7 | 1 | no | — |
| 274 | #3586 | — | 7 | 1 | no | — |
| 275 | #3586 | — | 7 | 1 | no | — |
| 276 | #3586 | — | 7 | 8 | no | — |
| 277 | #3586 | — | 7 | 8 | no | — |
| 278 | #3586 | — | 7 | 6 | no | — |
| 279 | #3586 | — | 7 | 6 | no | — |
| 280 | #3586 | — | 7 | 1 | no | — |
| 281 | #3586 | D7 | 1 | 1 | yes | characteristic, direct product factor |
| 282 | C2×#578 | — | 7 | 8 | no | — |
| 283 | C2×#577 | — | 7 | 8 | no | — |
| 284 | C2×#575 | — | 7 | 6 | no | — |
| 285 | C22×#137 | — | 7 | 6 | no | — |
| 286 | C2×#568 | — | 7 | 1 | no | — |
| 287 | C23×D7 | — | 2 | 1 | no | — |
| 288 | C23×D7 | — | 2 | 6 | no | — |
| 289 | C23×D7 | C2×D4 | 1 | 3 | yes | — |
| 290 | C7×#41 | — | 2 | 4 | no | — |
| 291 | C7×#41 | — | 2 | 12 | no | — |
| 292 | C7×#41 | — | 2 | 24 | no | — |
| 293 | C7×#41 | — | 2 | 6 | no | — |
| 294 | C7×#41 | — | 2 | 6 | no | — |
| 295 | C7×#41 | — | 2 | 6 | no | — |
| 296 | C7×#41 | C2×D4 | 1 | 4 | yes | — |
| 297 | C7×#41 | C24 | 1 | 12 | yes | — |
| 298 | C7×#41 | C24 | 1 | 4 | yes | — |
| 299 | C7×#41 | C24 | 1 | 12 | yes | — |
| 300 | C7×#41 | C24 | 1 | 4 | yes | — |
| 301 | C2×C7×Q8 | — | 2 | 8 | no | — |
| 302 | C2×C7×Q8 | — | 2 | 4 | no | — |
| 303 | C2×C7×Q8 | — | 2 | 3 | no | — |
| 304 | C2×C7×Q8 | — | 2 | 6 | no | — |
| 305 | C2×C7×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 306 | C2×C7×Q8 | C24 | 1 | 12 | yes | — |
| 307 | C2×C7×Q8 | C24 | 1 | 3 | yes | — |
| 308 | C2×C7×Q8 | C24 | 1 | 6 | yes | — |
| 309 | C2×C7×D4 | — | 2 | 3 | no | — |
| 310 | C2×C7×D4 | — | 2 | 6 | no | — |
| 311 | C2×C7×D4 | — | 2 | 12 | no | — |
| 312 | C2×C7×D4 | C2×D4 | 1 | 3 | yes | — |
| 313 | C2×C7×D4 | C24 | 1 | 1 | yes | characteristic |
| 314 | C2×C7×D4 | C24 | 1 | 6 | yes | — |
| 315 | C22×C4×C7 | — | 2 | 3 | no | — |
| 316 | C22×C4×C7 | — | 2 | 3 | no | — |
| 317 | C22×C4×C7 | — | 2 | 6 | no | — |
| 318 | C22×C4×C7 | C24 | 1 | 3 | yes | — |
| 319 | C2×C22⋊D7 | — | 2 | 3 | no | — |
| 320 | C2×C22⋊D7 | — | 2 | 6 | no | — |
| 321 | C2×C22⋊D7 | — | 2 | 3 | no | — |
| 322 | C2×C22⋊D7 | — | 2 | 6 | no | — |
| 323 | C2×C22⋊D7 | — | 2 | 24 | no | — |
| 324 | C2×C22⋊D7 | — | 2 | 1 | no | — |
| 325 | C2×C22⋊D7 | — | 2 | 6 | no | — |
| 326 | C2×C22⋊D7 | C2×D4 | 1 | 6 | yes | — |
| 327 | C22×Dic7 | — | 2 | 3 | no | — |
| 328 | C22×Dic7 | — | 2 | 3 | no | — |
| 329 | C22×Dic7 | — | 2 | 6 | no | — |
| 330 | C22×Dic7 | C2×D4 | 1 | 3 | yes | — |
| 331 | #1161 | — | 2 | 4 | no | — |
| 332 | #1161 | — | 2 | 24 | no | — |
| 333 | #1161 | — | 2 | 12 | no | — |
| 334 | #1161 | — | 2 | 6 | no | — |
| 335 | #1161 | — | 2 | 6 | no | — |
| 336 | #1161 | — | 2 | 6 | no | — |
| 337 | #1161 | C2×D4 | 1 | 4 | yes | — |
| 338 | #1161 | C2×D4 | 1 | 4 | yes | — |
| 339 | #1161 | C24 | 1 | 12 | yes | — |
| 340 | #1161 | C24 | 1 | 4 | yes | — |
| 341 | #1161 | C24 | 1 | 12 | yes | — |
| 342 | Q8×D7 | — | 2 | 8 | no | — |
| 343 | Q8×D7 | — | 2 | 4 | no | — |
| 344 | Q8×D7 | — | 2 | 3 | no | — |
| 345 | Q8×D7 | — | 2 | 12 | no | — |
| 346 | Q8×D7 | — | 2 | 3 | no | — |
| 347 | Q8×D7 | — | 2 | 12 | no | — |
| 348 | Q8×D7 | — | 2 | 12 | no | — |
| 349 | Q8×D7 | — | 2 | 6 | no | — |
| 350 | Q8×D7 | — | 2 | 12 | no | — |
| 351 | Q8×D7 | — | 2 | 12 | no | — |
| 352 | Q8×D7 | — | 2 | 6 | no | — |
| 353 | Q8×D7 | — | 2 | 24 | no | — |
| 354 | Q8×D7 | — | 2 | 12 | no | — |
| 355 | Q8×D7 | C2×D4 | 1 | 4 | yes | — |
| 356 | Q8×D7 | C2×D4 | 1 | 4 | yes | — |
| 357 | Q8×D7 | C24 | 1 | 6 | yes | — |
| 358 | Q8×D7 | C24 | 1 | 4 | yes | — |
| 359 | Q8×D7 | C24 | 1 | 24 | yes | — |
| 360 | Q8×D7 | C24 | 1 | 6 | yes | — |
| 361 | Q8×D7 | C24 | 1 | 12 | yes | — |
| 362 | #1159 | — | 2 | 12 | no | — |
| 363 | #1159 | — | 2 | 24 | no | — |
| 364 | #1159 | — | 2 | 24 | no | — |
| 365 | #1159 | — | 2 | 48 | no | — |
| 366 | #1159 | — | 2 | 4 | no | — |
| 367 | #1159 | — | 2 | 12 | no | — |
| 368 | #1159 | — | 2 | 12 | no | — |
| 369 | #1159 | — | 2 | 12 | no | — |
| 370 | #1159 | — | 2 | 12 | no | — |
| 371 | #1159 | — | 2 | 12 | no | — |
| 372 | #1159 | — | 2 | 6 | no | — |
| 373 | #1159 | — | 2 | 6 | no | — |
| 374 | #1159 | — | 2 | 6 | no | — |
| 375 | #1159 | — | 2 | 12 | no | — |
| 376 | #1159 | C2×D4 | 1 | 12 | yes | — |
| 377 | #1159 | C2×D4 | 1 | 12 | yes | — |
| 378 | #1159 | C24 | 1 | 12 | yes | — |
| 379 | #1159 | C24 | 1 | 4 | yes | — |
| 380 | #1159 | C24 | 1 | 12 | yes | — |
| 381 | D4×D7 | — | 2 | 4 | no | — |
| 382 | D4×D7 | — | 2 | 12 | no | — |
| 383 | D4×D7 | — | 2 | 12 | no | — |
| 384 | D4×D7 | — | 2 | 12 | no | — |
| 385 | D4×D7 | — | 2 | 12 | no | — |
| 386 | D4×D7 | — | 2 | 12 | no | — |
| 387 | D4×D7 | — | 2 | 12 | no | — |
| 388 | D4×D7 | — | 2 | 24 | no | — |
| 389 | D4×D7 | — | 2 | 12 | no | — |
| 390 | D4×D7 | — | 2 | 6 | no | — |
| 391 | D4×D7 | — | 2 | 6 | no | — |
| 392 | D4×D7 | — | 2 | 1 | no | — |
| 393 | D4×D7 | — | 2 | 1 | no | — |
| 394 | D4×D7 | C2×D4 | 1 | 12 | yes | — |
| 395 | D4×D7 | C2×D4 | 1 | 12 | yes | — |
| 396 | D4×D7 | C24 | 1 | 2 | yes | — |
| 397 | D4×D7 | C24 | 1 | 4 | yes | — |
| 398 | D4×D7 | C24 | 1 | 2 | yes | — |
| 399 | D4×D7 | C24 | 1 | 12 | yes | — |
| 400 | #1157 | — | 2 | 6 | no | — |
| 401 | #1157 | — | 2 | 6 | no | — |
| 402 | #1157 | — | 2 | 6 | no | — |
| 403 | #1157 | — | 2 | 24 | no | — |
| 404 | #1157 | — | 2 | 48 | no | — |
| 405 | #1157 | — | 2 | 12 | no | — |
| 406 | #1157 | — | 2 | 24 | no | — |
| 407 | #1157 | — | 2 | 12 | no | — |
| 408 | #1157 | — | 2 | 4 | no | — |
| 409 | #1157 | — | 2 | 12 | no | — |
| 410 | #1157 | — | 2 | 12 | no | — |
| 411 | #1157 | — | 2 | 12 | no | — |
| 412 | #1157 | — | 2 | 12 | no | — |
| 413 | #1157 | — | 2 | 12 | no | — |
| 414 | #1157 | C2×D4 | 1 | 12 | yes | — |
| 415 | #1157 | C24 | 1 | 12 | yes | — |
| 416 | #1157 | C24 | 1 | 12 | yes | — |
| 417 | #1157 | C24 | 1 | 12 | yes | — |
| 418 | #1157 | C24 | 1 | 4 | yes | — |
| 419 | C2×D28 | — | 2 | 3 | no | — |
| 420 | C2×D28 | — | 2 | 6 | no | — |
| 421 | C2×D28 | — | 2 | 12 | no | — |
| 422 | C2×D28 | C2×D4 | 1 | 3 | yes | — |
| 423 | C2×D28 | C24 | 1 | 6 | yes | — |
| 424 | C2×D28 | C24 | 1 | 1 | yes | characteristic |
| 425 | C2×C4×D7 | — | 2 | 3 | no | — |
| 426 | C2×C4×D7 | — | 2 | 6 | no | — |
| 427 | C2×C4×D7 | — | 2 | 6 | no | — |
| 428 | C2×C4×D7 | — | 2 | 12 | no | — |
| 429 | C2×C4×D7 | — | 2 | 12 | no | — |
| 430 | C2×C4×D7 | — | 2 | 6 | no | — |
| 431 | C2×C4×D7 | — | 2 | 3 | no | — |
| 432 | C2×C4×D7 | — | 2 | 3 | no | — |
| 433 | C2×C4×D7 | — | 2 | 6 | no | — |
| 434 | C2×C4×D7 | — | 2 | 4 | no | — |
| 435 | C2×C4×D7 | — | 2 | 12 | no | — |
| 436 | C2×C4×D7 | — | 2 | 12 | no | — |
| 437 | C2×C4×D7 | — | 2 | 12 | no | — |
| 438 | C2×C4×D7 | — | 2 | 12 | no | — |
| 439 | C2×C4×D7 | — | 2 | 12 | no | — |
| 440 | C2×C4×D7 | C2×D4 | 1 | 3 | yes | — |
| 441 | C2×C4×D7 | C2×D4 | 1 | 6 | yes | — |
| 442 | C2×C4×D7 | C2×D4 | 1 | 3 | yes | — |
| 443 | C2×C4×D7 | C2×D4 | 1 | 6 | yes | — |
| 444 | C2×C4×D7 | C24 | 1 | 6 | yes | — |
| 445 | C2×C4×D7 | C24 | 1 | 6 | yes | — |
| 446 | C2×C4×D7 | C24 | 1 | 1 | yes | characteristic |
| 447 | C2×C4×D7 | C24 | 1 | 3 | yes | — |
| 448 | C2×Dic14 | — | 2 | 3 | no | — |
| 449 | C2×Dic14 | — | 2 | 6 | no | — |
| 450 | C2×Dic14 | — | 2 | 3 | no | — |
| 451 | C2×Dic14 | — | 2 | 6 | no | — |
| 452 | C2×Dic14 | — | 2 | 12 | no | — |
| 453 | C2×Dic14 | — | 2 | 12 | no | — |
| 454 | C2×Dic14 | — | 2 | 6 | no | — |
| 455 | C2×Dic14 | — | 2 | 24 | no | — |
| 456 | C2×Dic14 | — | 2 | 12 | no | — |
| 457 | C2×Dic14 | C2×D4 | 1 | 3 | yes | — |
| 458 | C2×Dic14 | C24 | 1 | 12 | yes | — |
| 459 | C2×Dic14 | C24 | 1 | 6 | yes | — |
| 460 | C2×Dic14 | C24 | 1 | 3 | yes | — |
| 461 | C7×Q16 | C24 | 1 | 24 | yes | — |
| 462 | C7×SD16 | C24 | 1 | 24 | yes | — |
| 463 | C7×SD16 | C24 | 1 | 8 | yes | — |
| 464 | C7×D8 | C24 | 1 | 8 | yes | — |
| 465 | C7×M16 | C24 | 1 | 4 | yes | — |
| 466 | C7×M16 | C24 | 1 | 12 | yes | — |
| 467 | C2×C7×C8 | C24 | 1 | 12 | yes | — |
| 468 | #1144 | C24 | 1 | 24 | yes | — |
| 469 | #1144 | C24 | 1 | 24 | yes | — |
| 470 | #1143 | C24 | 1 | 24 | yes | — |
| 471 | #1143 | C24 | 1 | 8 | yes | — |
| 472 | #1142 | C24 | 1 | 8 | yes | — |
| 473 | #1142 | C24 | 1 | 24 | yes | — |
| 474 | #1141 | C24 | 1 | 8 | yes | — |
| 475 | #1141 | C24 | 1 | 8 | yes | — |
| 476 | #1136 | C24 | 1 | 12 | yes | — |
| 477 | #1136 | C24 | 1 | 4 | yes | — |
| 478 | C2×C7⋊C8 | C24 | 1 | 12 | yes | — |
| 479 | Dic28 | C24 | 1 | 24 | yes | — |
| 480 | D56 | C24 | 1 | 8 | yes | — |
| 481 | #1132 | C24 | 1 | 24 | yes | — |
| 482 | #1132 | C24 | 1 | 8 | yes | — |
| 483 | #1131 | C24 | 1 | 8 | yes | — |
| 484 | #1131 | C24 | 1 | 24 | yes | — |
| 485 | C8×D7 | C24 | 1 | 8 | yes | — |
| 486 | C8×D7 | C24 | 1 | 24 | yes | — |
| 487 | #585 | — | 7 | 4 | no | — |
| 488 | #585 | — | 7 | 4 | no | — |
| 489 | #585 | — | 7 | 6 | no | — |
| 490 | #585 | — | 7 | 1 | no | — |
| 491 | #585 | — | 14 | 4 | no | — |
| 492 | #585 | — | 14 | 3 | no | — |
| 493 | #585 | — | 14 | 1 | no | — |
| 494 | #585 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 495 | C2×2−1+4 | — | 7 | 8 | no | — |
| 496 | C2×2−1+4 | — | 7 | 8 | no | — |
| 497 | C2×2−1+4 | — | 7 | 4 | no | — |
| 498 | C2×2−1+4 | — | 7 | 1 | no | — |
| 499 | C2×2−1+4 | — | 7 | 3 | no | — |
| 500 | C2×2−1+4 | — | 7 | 3 | no | — |
| 501 | C2×2−1+4 | — | 14 | 1 | no | — |
| 502 | C2×2−1+4 | — | 14 | 1 | no | — |
| 503 | C2×2−1+4 | — | 14 | 3 | no | — |
| 504 | C2×2−1+4 | — | 14 | 4 | no | — |
| 505 | C2×2−1+4 | — | 14 | 4 | no | — |
| 506 | C2×2−1+4 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 507 | C2×H(5,𝔽2) | — | 7 | 4 | no | — |
| 508 | C2×H(5,𝔽2) | — | 14 | 3 | no | — |
| 509 | C22×#41 | — | 7 | 1 | no | — |
| 510 | C22×#41 | — | 7 | 6 | no | — |
| 511 | C22×#41 | — | 7 | 3 | no | — |
| 512 | C22×#41 | — | 14 | 3 | no | — |
| 513 | C22×#41 | — | 14 | 4 | no | — |
| 514 | C23×Q8 | — | 7 | 3 | no | — |
| 515 | C23×Q8 | — | 14 | 1 | no | — |
| 516 | #578 | — | 7 | 8 | no | — |
| 517 | #578 | — | 7 | 8 | no | — |
| 518 | #578 | — | 7 | 24 | no | — |
| 519 | #578 | — | 7 | 24 | no | — |
| 520 | #578 | — | 7 | 24 | no | — |
| 521 | #578 | — | 7 | 24 | no | — |
| 522 | #578 | — | 7 | 8 | no | — |
| 523 | #578 | C2×D7 | 1 | 8 | yes | complemented |
| 524 | #577 | — | 7 | 8 | no | — |
| 525 | #577 | — | 7 | 8 | no | — |
| 526 | #577 | — | 7 | 24 | no | — |
| 527 | #577 | — | 7 | 24 | no | — |
| 528 | #577 | — | 7 | 24 | no | — |
| 529 | #577 | — | 7 | 24 | no | — |
| 530 | #577 | — | 7 | 8 | no | — |
| 531 | #577 | C2×D7 | 1 | 8 | yes | complemented |
| 532 | #575 | — | 7 | 6 | no | — |
| 533 | #575 | — | 7 | 6 | no | — |
| 534 | #575 | — | 7 | 12 | no | — |
| 535 | #575 | — | 7 | 12 | no | — |
| 536 | #575 | — | 7 | 12 | no | — |
| 537 | #575 | — | 7 | 12 | no | — |
| 538 | #575 | — | 7 | 24 | no | — |
| 539 | #575 | — | 7 | 6 | no | — |
| 540 | #575 | C2×D7 | 1 | 6 | yes | complemented |
| 541 | C2×#137 | — | 7 | 6 | no | — |
| 542 | C2×#137 | — | 7 | 6 | no | — |
| 543 | C2×#137 | — | 7 | 24 | no | — |
| 544 | C2×#137 | — | 7 | 24 | no | — |
| 545 | C2×#137 | — | 7 | 12 | no | — |
| 546 | C2×#137 | — | 7 | 24 | no | — |
| 547 | C2×#137 | — | 7 | 12 | no | — |
| 548 | C2×#137 | — | 7 | 12 | no | — |
| 549 | C2×#137 | — | 7 | 12 | no | — |
| 550 | C2×#137 | — | 7 | 6 | no | — |
| 551 | C2×#137 | C2×D7 | 1 | 6 | yes | complemented |
| 552 | C2×AGL(1,ℤ/8) | — | 7 | 4 | no | — |
| 553 | C2×AGL(1,ℤ/8) | — | 7 | 12 | no | — |
| 554 | C2×#135 | — | 7 | 24 | no | — |
| 555 | C22×Q16 | — | 7 | 12 | no | — |
| 556 | C22×SD16 | — | 7 | 12 | no | — |
| 557 | #568 | — | 7 | 1 | no | — |
| 558 | #568 | — | 7 | 8 | no | — |
| 559 | #568 | — | 7 | 6 | no | — |
| 560 | #568 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 561 | C2×#131 | — | 7 | 8 | no | — |
| 562 | C22×M16 | — | 7 | 6 | no | — |
| 563 | C23×C7 | — | 2 | 1 | no | — |
| 564 | C23×C7 | — | 2 | 6 | no | — |
| 565 | C23×C7 | C22×D4 | 1 | 3 | yes | — |
| 566 | C22×D7 | — | 2 | 1 | no | — |
| 567 | C22×D7 | — | 2 | 6 | no | — |
| 568 | C22×D7 | — | 2 | 2 | no | — |
| 569 | C22×D7 | — | 2 | 2 | no | — |
| 570 | C22×D7 | — | 2 | 4 | no | — |
| 571 | C22×D7 | — | 2 | 12 | no | — |
| 572 | C22×D7 | — | 4 | 6 | no | — |
| 573 | C22×D7 | — | 4 | 4 | no | — |
| 574 | C22×D7 | — | 8 | 12 | no | — |
| 575 | C22×D7 | C22×D4 | 1 | 1 | yes | characteristic |
| 576 | C22×D7 | C22×D4 | 1 | 6 | yes | — |
| 577 | C22×D7 | C22×D4 | 1 | 3 | yes | — |
| 578 | C22×D7 | C22×D4 | 1 | 6 | yes | — |
| 579 | C7×Q8 | — | 2 | 12 | no | — |
| 580 | C7×Q8 | — | 2 | 3 | no | — |
| 581 | C7×Q8 | — | 2 | 6 | no | — |
| 582 | C7×Q8 | C22×D4 | 1 | 4 | yes | — |
| 583 | C7×Q8 | C25 | 1 | 6 | yes | — |
| 584 | C7×Q8 | C25 | 1 | 4 | yes | — |
| 585 | C7×D4 | — | 2 | 4 | no | — |
| 586 | C7×D4 | — | 2 | 12 | no | — |
| 587 | C7×D4 | — | 2 | 12 | no | — |
| 588 | C7×D4 | — | 2 | 6 | no | — |
| 589 | C7×D4 | — | 2 | 1 | no | — |
| 590 | C7×D4 | C22×D4 | 1 | 12 | yes | — |
| 591 | C7×D4 | C25 | 1 | 2 | yes | — |
| 592 | C7×D4 | C25 | 1 | 4 | yes | — |
| 593 | C2×C4×C7 | — | 2 | 3 | no | — |
| 594 | C2×C4×C7 | — | 2 | 12 | no | — |
| 595 | C2×C4×C7 | — | 2 | 6 | no | — |
| 596 | C2×C4×C7 | — | 2 | 12 | no | — |
| 597 | C2×C4×C7 | — | 2 | 12 | no | — |
| 598 | C2×C4×C7 | — | 2 | 4 | no | — |
| 599 | C2×C4×C7 | C22×D4 | 1 | 3 | yes | — |
| 600 | C2×C4×C7 | C22×D4 | 1 | 6 | yes | — |
| 601 | C2×C4×C7 | C25 | 1 | 6 | yes | — |
| 602 | C2×C4×C7 | C25 | 1 | 1 | yes | characteristic |
| 603 | C22⋊D7 | — | 2 | 12 | no | — |
| 604 | C22⋊D7 | — | 2 | 4 | no | — |
| 605 | C22⋊D7 | — | 2 | 12 | no | — |
| 606 | C22⋊D7 | — | 2 | 12 | no | — |
| 607 | C22⋊D7 | — | 2 | 4 | no | — |
| 608 | C22⋊D7 | — | 2 | 12 | no | — |
| 609 | C22⋊D7 | — | 2 | 2 | no | — |
| 610 | C22⋊D7 | — | 2 | 2 | no | — |
| 611 | C22⋊D7 | — | 2 | 4 | no | — |
| 612 | C22⋊D7 | — | 2 | 12 | no | — |
| 613 | C22⋊D7 | C22×D4 | 1 | 24 | yes | — |
| 614 | C2×Dic7 | — | 2 | 3 | no | — |
| 615 | C2×Dic7 | — | 2 | 12 | no | — |
| 616 | C2×Dic7 | — | 2 | 6 | no | — |
| 617 | C2×Dic7 | — | 2 | 12 | no | — |
| 618 | C2×Dic7 | — | 2 | 12 | no | — |
| 619 | C2×Dic7 | — | 2 | 4 | no | — |
| 620 | C2×Dic7 | C22×D4 | 1 | 1 | yes | characteristic |
| 621 | C2×Dic7 | C22×D4 | 1 | 6 | yes | — |
| 622 | C2×Dic7 | C22×D4 | 1 | 3 | yes | — |
| 623 | C2×Dic7 | C22×D4 | 1 | 6 | yes | — |
| 624 | D28 | — | 2 | 4 | no | — |
| 625 | D28 | — | 2 | 12 | no | — |
| 626 | D28 | — | 2 | 12 | no | — |
| 627 | D28 | — | 2 | 6 | no | — |
| 628 | D28 | — | 2 | 1 | no | — |
| 629 | D28 | C22×D4 | 1 | 12 | yes | — |
| 630 | D28 | C25 | 1 | 4 | yes | — |
| 631 | D28 | C25 | 1 | 2 | yes | — |
| 632 | C4×D7 | — | 2 | 4 | no | — |
| 633 | C4×D7 | — | 2 | 6 | no | — |
| 634 | C4×D7 | — | 2 | 6 | no | — |
| 635 | C4×D7 | — | 2 | 12 | no | — |
| 636 | C4×D7 | — | 2 | 24 | no | — |
| 637 | C4×D7 | — | 2 | 4 | no | — |
| 638 | C4×D7 | — | 2 | 12 | no | — |
| 639 | C4×D7 | — | 2 | 12 | no | — |
| 640 | C4×D7 | — | 2 | 4 | no | — |
| 641 | C4×D7 | — | 2 | 12 | no | — |
| 642 | C4×D7 | — | 2 | 12 | no | — |
| 643 | C4×D7 | C22×D4 | 1 | 1 | yes | characteristic |
| 644 | C4×D7 | C22×D4 | 1 | 6 | yes | — |
| 645 | C4×D7 | C22×D4 | 1 | 6 | yes | — |
| 646 | C4×D7 | C22×D4 | 1 | 6 | yes | — |
| 647 | C4×D7 | C22×D4 | 1 | 6 | yes | — |
| 648 | C4×D7 | C22×D4 | 1 | 1 | yes | characteristic |
| 649 | C4×D7 | C22×D4 | 1 | 6 | yes | — |
| 650 | C4×D7 | C25 | 1 | 1 | yes | characteristic |
| 651 | C4×D7 | C25 | 1 | 6 | yes | — |
| 652 | C4×D7 | C25 | 1 | 1 | yes | characteristic |
| 653 | Dic14 | — | 2 | 12 | no | — |
| 654 | Dic14 | — | 2 | 3 | no | — |
| 655 | Dic14 | — | 2 | 6 | no | — |
| 656 | Dic14 | — | 2 | 6 | no | — |
| 657 | Dic14 | — | 2 | 24 | no | — |
| 658 | Dic14 | — | 2 | 6 | no | — |
| 659 | Dic14 | — | 2 | 4 | no | — |
| 660 | Dic14 | — | 2 | 12 | no | — |
| 661 | Dic14 | C22×D4 | 1 | 12 | yes | — |
| 662 | Dic14 | C25 | 1 | 6 | yes | — |
| 663 | Dic14 | C25 | 1 | 4 | yes | — |
| 664 | C7×C8 | C25 | 1 | 8 | yes | — |
| 665 | C7⋊C8 | C25 | 1 | 8 | yes | — |
| 666 | 2−1+4 | — | 2 | 4 | no | — |
| 667 | 2−1+4 | — | 2 | 1 | no | — |
| 668 | 2−1+4 | — | 7 | 24 | no | — |
| 669 | 2−1+4 | — | 7 | 8 | no | — |
| 670 | 2−1+4 | — | 7 | 12 | no | — |
| 671 | 2−1+4 | — | 7 | 4 | no | — |
| 672 | 2−1+4 | — | 7 | 24 | no | — |
| 673 | 2−1+4 | — | 7 | 12 | no | — |
| 674 | 2−1+4 | — | 14 | 4 | no | — |
| 675 | 2−1+4 | — | 14 | 8 | no | — |
| 676 | 2−1+4 | — | 14 | 8 | no | — |
| 677 | 2−1+4 | — | 14 | 12 | no | — |
| 678 | 2−1+4 | — | 14 | 4 | no | — |
| 679 | 2−1+4 | — | 14 | 4 | no | — |
| 680 | 2−1+4 | — | 14 | 6 | no | — |
| 681 | 2−1+4 | — | 14 | 24 | no | — |
| 682 | 2−1+4 | — | 14 | 24 | no | — |
| 683 | 2−1+4 | — | 14 | 12 | no | — |
| 684 | 2−1+4 | — | 14 | 12 | no | — |
| 685 | 2−1+4 | — | 14 | 4 | no | — |
| 686 | 2−1+4 | — | 14 | 1 | no | — |
| 687 | 2−1+4 | C22×D7 | 1 | 8 | yes | complemented |
| 688 | 2−1+4 | C22×D7 | 1 | 4 | yes | complemented |
| 689 | H(5,𝔽2) | — | 2 | 3 | no | — |
| 690 | H(5,𝔽2) | — | 7 | 12 | no | — |
| 691 | H(5,𝔽2) | — | 7 | 4 | no | — |
| 692 | H(5,𝔽2) | — | 7 | 12 | no | — |
| 693 | H(5,𝔽2) | — | 14 | 12 | no | — |
| 694 | H(5,𝔽2) | — | 14 | 12 | no | — |
| 695 | H(5,𝔽2) | — | 14 | 12 | no | — |
| 696 | H(5,𝔽2) | — | 14 | 12 | no | — |
| 697 | H(5,𝔽2) | — | 14 | 6 | no | — |
| 698 | H(5,𝔽2) | — | 14 | 4 | no | — |
| 699 | H(5,𝔽2) | — | 14 | 3 | no | — |
| 700 | H(5,𝔽2) | C22×D7 | 1 | 4 | yes | complemented |
| 701 | C2×#41 | — | 2 | 4 | no | — |
| 702 | C2×#41 | — | 2 | 3 | no | — |
| 703 | C2×#41 | — | 7 | 4 | no | — |
| 704 | C2×#41 | — | 7 | 4 | no | — |
| 705 | C2×#41 | — | 7 | 4 | no | — |
| 706 | C2×#41 | — | 7 | 4 | no | — |
| 707 | C2×#41 | — | 7 | 1 | no | — |
| 708 | C2×#41 | — | 7 | 3 | no | — |
| 709 | C2×#41 | — | 7 | 3 | no | — |
| 710 | C2×#41 | — | 7 | 12 | no | — |
| 711 | C2×#41 | — | 7 | 12 | no | — |
| 712 | C2×#41 | — | 7 | 4 | no | — |
| 713 | C2×#41 | — | 7 | 12 | no | — |
| 714 | C2×#41 | — | 7 | 12 | no | — |
| 715 | C2×#41 | — | 7 | 12 | no | — |
| 716 | C2×#41 | — | 7 | 6 | no | — |
| 717 | C2×#41 | — | 7 | 3 | no | — |
| 718 | C2×#41 | — | 7 | 6 | no | — |
| 719 | C2×#41 | — | 7 | 3 | no | — |
| 720 | C2×#41 | — | 7 | 6 | no | — |
| 721 | C2×#41 | — | 7 | 3 | no | — |
| 722 | C2×#41 | — | 14 | 3 | no | — |
| 723 | C2×#41 | — | 14 | 6 | no | — |
| 724 | C2×#41 | — | 14 | 6 | no | — |
| 725 | C2×#41 | — | 14 | 3 | no | — |
| 726 | C2×#41 | — | 14 | 12 | no | — |
| 727 | C2×#41 | — | 14 | 3 | no | — |
| 728 | C2×#41 | — | 14 | 6 | no | — |
| 729 | C2×#41 | — | 14 | 6 | no | — |
| 730 | C2×#41 | — | 14 | 6 | no | — |
| 731 | C2×#41 | — | 14 | 6 | no | — |
| 732 | C2×#41 | — | 14 | 6 | no | — |
| 733 | C2×#41 | — | 14 | 6 | no | — |
| 734 | C2×#41 | — | 14 | 6 | no | — |
| 735 | C2×#41 | — | 14 | 6 | no | — |
| 736 | C2×#41 | — | 14 | 12 | no | — |
| 737 | C2×#41 | — | 14 | 3 | no | — |
| 738 | C2×#41 | — | 14 | 12 | no | — |
| 739 | C2×#41 | — | 14 | 24 | no | — |
| 740 | C2×#41 | — | 14 | 24 | no | — |
| 741 | C2×#41 | — | 14 | 4 | no | — |
| 742 | C2×#41 | — | 14 | 4 | no | — |
| 743 | C2×#41 | — | 14 | 4 | no | — |
| 744 | C2×#41 | — | 14 | 12 | no | — |
| 745 | C2×#41 | — | 14 | 12 | no | — |
| 746 | C2×#41 | — | 14 | 4 | no | — |
| 747 | C2×#41 | — | 14 | 3 | no | — |
| 748 | C2×#41 | C22×D7 | 1 | 6 | yes | — |
| 749 | C2×#41 | C22×D7 | 1 | 1 | yes | characteristic |
| 750 | C2×#41 | C22×D7 | 1 | 3 | yes | complemented |
| 751 | C22×Q8 | — | 2 | 1 | no | — |
| 752 | C22×Q8 | — | 7 | 1 | no | — |
| 753 | C22×Q8 | — | 7 | 12 | no | — |
| 754 | C22×Q8 | — | 7 | 6 | no | — |
| 755 | C22×Q8 | — | 7 | 3 | no | — |
| 756 | C22×Q8 | — | 7 | 6 | no | — |
| 757 | C22×Q8 | — | 7 | 12 | no | — |
| 758 | C22×Q8 | — | 7 | 3 | no | — |
| 759 | C22×Q8 | — | 14 | 3 | no | — |
| 760 | C22×Q8 | — | 14 | 3 | no | — |
| 761 | C22×Q8 | — | 14 | 3 | no | — |
| 762 | C22×Q8 | — | 14 | 6 | no | — |
| 763 | C22×Q8 | — | 14 | 3 | no | — |
| 764 | C22×Q8 | — | 14 | 6 | no | — |
| 765 | C22×Q8 | — | 14 | 8 | no | — |
| 766 | C22×Q8 | — | 14 | 8 | no | — |
| 767 | C22×Q8 | — | 14 | 3 | no | — |
| 768 | C22×Q8 | — | 14 | 4 | no | — |
| 769 | C22×Q8 | — | 14 | 1 | no | — |
| 770 | C22×Q8 | C22×D7 | 1 | 3 | yes | complemented |
| 771 | C22×D4 | — | 7 | 3 | no | — |
| 772 | C22×D4 | — | 7 | 6 | no | — |
| 773 | C22×D4 | — | 7 | 1 | no | — |
| 774 | C22×D4 | — | 14 | 12 | no | — |
| 775 | C22×D4 | — | 14 | 3 | no | — |
| 776 | C22×D4 | — | 14 | 6 | no | — |
| 777 | C23×C4 | — | 7 | 3 | no | — |
| 778 | C23×C4 | — | 14 | 3 | no | — |
| 779 | C23×C4 | — | 14 | 6 | no | — |
| 780 | C23×C4 | — | 14 | 3 | no | — |
| 781 | #137 | — | 7 | 12 | no | — |
| 782 | #137 | — | 7 | 24 | no | — |
| 783 | #137 | — | 7 | 12 | no | — |
| 784 | #137 | — | 7 | 12 | no | — |
| 785 | #137 | — | 7 | 24 | no | — |
| 786 | #137 | — | 7 | 12 | no | — |
| 787 | #137 | — | 7 | 24 | no | — |
| 788 | #137 | — | 7 | 48 | no | — |
| 789 | #137 | — | 7 | 24 | no | — |
| 790 | #137 | — | 7 | 24 | no | — |
| 791 | #137 | — | 7 | 48 | no | — |
| 792 | #137 | — | 7 | 24 | no | — |
| 793 | #137 | — | 7 | 12 | no | — |
| 794 | #137 | — | 7 | 24 | no | — |
| 795 | #137 | — | 7 | 12 | no | — |
| 796 | #137 | C22×D7 | 1 | 12 | yes | complemented |
| 797 | #137 | C22×D7 | 1 | 24 | yes | complemented |
| 798 | #137 | C22×D7 | 1 | 12 | yes | complemented |
| 799 | AGL(1,ℤ/8) | — | 7 | 4 | no | — |
| 800 | AGL(1,ℤ/8) | — | 7 | 12 | no | — |
| 801 | AGL(1,ℤ/8) | — | 7 | 4 | no | — |
| 802 | AGL(1,ℤ/8) | — | 7 | 12 | no | — |
| 803 | AGL(1,ℤ/8) | — | 7 | 8 | no | — |
| 804 | AGL(1,ℤ/8) | — | 7 | 24 | no | — |
| 805 | AGL(1,ℤ/8) | — | 7 | 8 | no | — |
| 806 | AGL(1,ℤ/8) | — | 7 | 24 | no | — |
| 807 | AGL(1,ℤ/8) | — | 7 | 4 | no | — |
| 808 | AGL(1,ℤ/8) | — | 7 | 12 | no | — |
| 809 | AGL(1,ℤ/8) | C22×D7 | 1 | 4 | yes | complemented |
| 810 | AGL(1,ℤ/8) | C22×D7 | 1 | 12 | yes | complemented |
| 811 | #135 | — | 7 | 24 | no | — |
| 812 | #135 | — | 7 | 24 | no | — |
| 813 | #135 | — | 7 | 24 | no | — |
| 814 | #135 | — | 7 | 24 | no | — |
| 815 | #135 | — | 7 | 24 | no | — |
| 816 | #135 | — | 7 | 24 | no | — |
| 817 | #135 | — | 7 | 24 | no | — |
| 818 | #135 | C22×D7 | 1 | 24 | yes | complemented |
| 819 | C2×Q16 | — | 7 | 12 | no | — |
| 820 | C2×Q16 | — | 7 | 12 | no | — |
| 821 | C2×Q16 | — | 7 | 24 | no | — |
| 822 | C2×Q16 | — | 7 | 48 | no | — |
| 823 | C2×Q16 | — | 7 | 12 | no | — |
| 824 | C2×Q16 | C22×D7 | 1 | 12 | yes | complemented |
| 825 | C2×SD16 | — | 7 | 12 | no | — |
| 826 | C2×SD16 | — | 7 | 12 | no | — |
| 827 | C2×SD16 | — | 7 | 24 | no | — |
| 828 | C2×SD16 | — | 7 | 48 | no | — |
| 829 | C2×SD16 | — | 7 | 8 | no | — |
| 830 | C2×SD16 | — | 7 | 12 | no | — |
| 831 | C2×SD16 | C22×D7 | 1 | 12 | yes | complemented |
| 832 | C2×D8 | — | 7 | 8 | no | — |
| 833 | #131 | — | 7 | 8 | no | — |
| 834 | #131 | — | 7 | 24 | no | — |
| 835 | #131 | — | 7 | 24 | no | — |
| 836 | #131 | C22×D7 | 1 | 8 | yes | complemented |
| 837 | C2×M16 | — | 7 | 6 | no | — |
| 838 | C2×M16 | — | 7 | 4 | no | — |
| 839 | C2×M16 | — | 7 | 12 | no | — |
| 840 | C2×M16 | — | 7 | 12 | no | — |
| 841 | C2×M16 | — | 7 | 12 | no | — |
| 842 | C2×M16 | — | 7 | 12 | no | — |
| 843 | C2×M16 | C22×D7 | 1 | 6 | yes | complemented |
| 844 | C22×C8 | — | 7 | 12 | no | — |
| 845 | C22×C7 | — | 2 | 2 | no | — |
| 846 | C22×C7 | — | 2 | 4 | no | — |
| 847 | C22×C7 | — | 4 | 3 | no | — |
| 848 | C22×C7 | — | 4 | 2 | no | — |
| 849 | C22×C7 | — | 8 | 6 | no | — |
| 850 | C22×C7 | C23×D4 | 1 | 1 | yes | characteristic |
| 851 | C22×C7 | C23×D4 | 1 | 6 | yes | — |
| 852 | C2×D7 | — | 2 | 2 | no | — |
| 853 | C2×D7 | — | 2 | 12 | no | — |
| 854 | C2×D7 | — | 2 | 2 | no | — |
| 855 | C2×D7 | — | 2 | 4 | no | — |
| 856 | C2×D7 | — | 4 | 6 | no | — |
| 857 | C2×D7 | — | 4 | 3 | no | — |
| 858 | C2×D7 | — | 4 | 4 | no | — |
| 859 | C2×D7 | — | 4 | 2 | no | — |
| 860 | C2×D7 | — | 4 | 4 | no | — |
| 861 | C2×D7 | — | 4 | 8 | no | — |
| 862 | C2×D7 | — | 8 | 12 | no | — |
| 863 | C2×D7 | — | 8 | 6 | no | — |
| 864 | C2×D7 | C23×D4 | 1 | 1 | yes | characteristic |
| 865 | C2×D7 | C23×D4 | 1 | 6 | yes | — |
| 866 | C2×D7 | C23×D4 | 1 | 1 | yes | characteristic |
| 867 | C4×C7 | — | 2 | 6 | no | — |
| 868 | C4×C7 | — | 2 | 4 | no | — |
| 869 | C4×C7 | C23×D4 | 1 | 6 | yes | — |
| 870 | C4×C7 | C23×D4 | 1 | 1 | yes | characteristic |
| 871 | C4×C7 | C26 | 1 | 1 | yes | characteristic |
| 872 | Dic7 | — | 2 | 6 | no | — |
| 873 | Dic7 | — | 2 | 4 | no | — |
| 874 | Dic7 | C23×D4 | 1 | 1 | yes | characteristic |
| 875 | Dic7 | C23×D4 | 1 | 6 | yes | — |
| 876 | Dic7 | C23×D4 | 1 | 1 | yes | characteristic |
| 877 | C24 | — | 7 | 3 | no | — |
| 878 | C24 | — | 14 | 1 | no | — |
| 879 | C24 | — | 14 | 6 | no | — |
| 880 | #41 | — | 2 | 4 | no | — |
| 881 | #41 | — | 2 | 12 | no | — |
| 882 | #41 | — | 2 | 24 | no | — |
| 883 | #41 | — | 2 | 6 | no | — |
| 884 | #41 | — | 2 | 6 | no | — |
| 885 | #41 | — | 2 | 6 | no | — |
| 886 | #41 | — | 7 | 4 | no | — |
| 887 | #41 | — | 7 | 4 | no | — |
| 888 | #41 | — | 7 | 12 | no | — |
| 889 | #41 | — | 7 | 12 | no | — |
| 890 | #41 | — | 7 | 12 | no | — |
| 891 | #41 | — | 7 | 12 | no | — |
| 892 | #41 | — | 7 | 12 | no | — |
| 893 | #41 | — | 7 | 12 | no | — |
| 894 | #41 | — | 7 | 4 | no | — |
| 895 | #41 | — | 7 | 12 | no | — |
| 896 | #41 | — | 7 | 12 | no | — |
| 897 | #41 | — | 7 | 4 | no | — |
| 898 | #41 | — | 7 | 12 | no | — |
| 899 | #41 | — | 7 | 12 | no | — |
| 900 | #41 | — | 7 | 4 | no | — |
| 901 | #41 | — | 14 | 4 | no | — |
| 902 | #41 | — | 14 | 12 | no | — |
| 903 | #41 | — | 14 | 12 | no | — |
| 904 | #41 | — | 14 | 12 | no | — |
| 905 | #41 | — | 14 | 12 | no | — |
| 906 | #41 | — | 14 | 12 | no | — |
| 907 | #41 | — | 14 | 24 | no | — |
| 908 | #41 | — | 14 | 12 | no | — |
| 909 | #41 | — | 14 | 48 | no | — |
| 910 | #41 | — | 14 | 24 | no | — |
| 911 | #41 | — | 14 | 12 | no | — |
| 912 | #41 | — | 14 | 4 | no | — |
| 913 | #41 | — | 14 | 12 | no | — |
| 914 | #41 | — | 14 | 6 | no | — |
| 915 | #41 | — | 14 | 12 | no | — |
| 916 | #41 | — | 14 | 12 | no | — |
| 917 | #41 | — | 14 | 6 | no | — |
| 918 | #41 | — | 14 | 12 | no | — |
| 919 | #41 | — | 14 | 12 | no | — |
| 920 | #41 | — | 14 | 6 | no | — |
| 921 | #41 | — | 14 | 6 | no | — |
| 922 | #41 | — | 14 | 6 | no | — |
| 923 | #41 | — | 14 | 6 | no | — |
| 924 | #41 | — | 14 | 24 | no | — |
| 925 | #41 | — | 14 | 48 | no | — |
| 926 | #41 | — | 14 | 12 | no | — |
| 927 | #41 | — | 14 | 12 | no | — |
| 928 | #41 | — | 14 | 24 | no | — |
| 929 | #41 | — | 14 | 4 | no | — |
| 930 | #41 | — | 14 | 12 | no | — |
| 931 | #41 | — | 14 | 24 | no | — |
| 932 | #41 | — | 14 | 6 | no | — |
| 933 | #41 | — | 14 | 6 | no | — |
| 934 | #41 | — | 14 | 6 | no | — |
| 935 | #41 | D4×D7 | 1 | 4 | yes | — |
| 936 | #41 | C23×D7 | 1 | 12 | yes | — |
| 937 | #41 | C23×D7 | 1 | 12 | yes | — |
| 938 | #41 | C23×D7 | 1 | 4 | yes | — |
| 939 | #41 | C23×D7 | 1 | 4 | yes | — |
| 940 | C2×Q8 | — | 2 | 8 | no | — |
| 941 | C2×Q8 | — | 2 | 4 | no | — |
| 942 | C2×Q8 | — | 2 | 3 | no | — |
| 943 | C2×Q8 | — | 2 | 6 | no | — |
| 944 | C2×Q8 | — | 7 | 4 | no | — |
| 945 | C2×Q8 | — | 7 | 4 | no | — |
| 946 | C2×Q8 | — | 7 | 3 | no | — |
| 947 | C2×Q8 | — | 7 | 6 | no | — |
| 948 | C2×Q8 | — | 7 | 4 | no | — |
| 949 | C2×Q8 | — | 7 | 24 | no | — |
| 950 | C2×Q8 | — | 7 | 12 | no | — |
| 951 | C2×Q8 | — | 7 | 6 | no | — |
| 952 | C2×Q8 | — | 7 | 12 | no | — |
| 953 | C2×Q8 | — | 7 | 6 | no | — |
| 954 | C2×Q8 | — | 7 | 3 | no | — |
| 955 | C2×Q8 | — | 14 | 3 | no | — |
| 956 | C2×Q8 | — | 14 | 6 | no | — |
| 957 | C2×Q8 | — | 14 | 12 | no | — |
| 958 | C2×Q8 | — | 14 | 12 | no | — |
| 959 | C2×Q8 | — | 14 | 6 | no | — |
| 960 | C2×Q8 | — | 14 | 24 | no | — |
| 961 | C2×Q8 | — | 14 | 12 | no | — |
| 962 | C2×Q8 | — | 14 | 3 | no | — |
| 963 | C2×Q8 | — | 14 | 3 | no | — |
| 964 | C2×Q8 | — | 14 | 12 | no | — |
| 965 | C2×Q8 | — | 14 | 12 | no | — |
| 966 | C2×Q8 | — | 14 | 6 | no | — |
| 967 | C2×Q8 | — | 14 | 12 | no | — |
| 968 | C2×Q8 | — | 14 | 12 | no | — |
| 969 | C2×Q8 | — | 14 | 12 | no | — |
| 970 | C2×Q8 | — | 14 | 6 | no | — |
| 971 | C2×Q8 | — | 14 | 24 | no | — |
| 972 | C2×Q8 | — | 14 | 12 | no | — |
| 973 | C2×Q8 | — | 14 | 8 | no | — |
| 974 | C2×Q8 | — | 14 | 4 | no | — |
| 975 | C2×Q8 | — | 14 | 3 | no | — |
| 976 | C2×Q8 | — | 14 | 6 | no | — |
| 977 | C2×Q8 | D4×D7 | 1 | 1 | yes | characteristic |
| 978 | C2×Q8 | C23×D7 | 1 | 12 | yes | — |
| 979 | C2×Q8 | C23×D7 | 1 | 6 | yes | — |
| 980 | C2×Q8 | C23×D7 | 1 | 3 | yes | — |
| 981 | C2×D4 | — | 2 | 3 | no | — |
| 982 | C2×D4 | — | 2 | 6 | no | — |
| 983 | C2×D4 | — | 2 | 12 | no | — |
| 984 | C2×D4 | — | 7 | 6 | no | — |
| 985 | C2×D4 | — | 7 | 12 | no | — |
| 986 | C2×D4 | — | 7 | 12 | no | — |
| 987 | C2×D4 | — | 7 | 2 | no | — |
| 988 | C2×D4 | — | 7 | 4 | no | — |
| 989 | C2×D4 | — | 7 | 12 | no | — |
| 990 | C2×D4 | — | 7 | 2 | no | — |
| 991 | C2×D4 | — | 7 | 3 | no | — |
| 992 | C2×D4 | — | 7 | 6 | no | — |
| 993 | C2×D4 | — | 7 | 1 | no | — |
| 994 | C2×D4 | — | 14 | 12 | no | — |
| 995 | C2×D4 | — | 14 | 3 | no | — |
| 996 | C2×D4 | — | 14 | 6 | no | — |
| 997 | C2×D4 | — | 14 | 6 | no | — |
| 998 | C2×D4 | — | 14 | 1 | no | — |
| 999 | C2×D4 | — | 14 | 1 | no | — |
| 1000 | C2×D4 | — | 14 | 6 | no | — |
| 1001 | C2×D4 | — | 14 | 1 | no | — |
| 1002 | C2×D4 | — | 14 | 6 | no | — |
| 1003 | C2×D4 | — | 14 | 24 | no | — |
| 1004 | C2×D4 | — | 14 | 12 | no | — |
| 1005 | C2×D4 | — | 14 | 4 | no | — |
| 1006 | C2×D4 | — | 14 | 12 | no | — |
| 1007 | C2×D4 | — | 14 | 12 | no | — |
| 1008 | C2×D4 | — | 14 | 12 | no | — |
| 1009 | C2×D4 | — | 14 | 12 | no | — |
| 1010 | C2×D4 | — | 14 | 12 | no | — |
| 1011 | C2×D4 | — | 14 | 24 | no | — |
| 1012 | C2×D4 | — | 14 | 3 | no | — |
| 1013 | C2×D4 | — | 14 | 6 | no | — |
| 1014 | C2×D4 | — | 14 | 3 | no | — |
| 1015 | C2×D4 | — | 14 | 6 | no | — |
| 1016 | C2×D4 | — | 14 | 12 | no | — |
| 1017 | C2×D4 | D4×D7 | 1 | 3 | yes | — |
| 1018 | C2×D4 | C23×D7 | 1 | 6 | yes | — |
| 1019 | C2×D4 | C23×D7 | 1 | 1 | yes | characteristic |
| 1020 | C22×C4 | — | 2 | 3 | no | — |
| 1021 | C22×C4 | — | 2 | 3 | no | — |
| 1022 | C22×C4 | — | 2 | 6 | no | — |
| 1023 | C22×C4 | — | 7 | 3 | no | — |
| 1024 | C22×C4 | — | 7 | 3 | no | — |
| 1025 | C22×C4 | — | 7 | 6 | no | — |
| 1026 | C22×C4 | — | 7 | 3 | no | — |
| 1027 | C22×C4 | — | 7 | 6 | no | — |
| 1028 | C22×C4 | — | 7 | 6 | no | — |
| 1029 | C22×C4 | — | 7 | 1 | no | — |
| 1030 | C22×C4 | — | 7 | 3 | no | — |
| 1031 | C22×C4 | — | 7 | 6 | no | — |
| 1032 | C22×C4 | — | 14 | 4 | no | — |
| 1033 | C22×C4 | — | 14 | 12 | no | — |
| 1034 | C22×C4 | — | 14 | 3 | no | — |
| 1035 | C22×C4 | — | 14 | 12 | no | — |
| 1036 | C22×C4 | — | 14 | 12 | no | — |
| 1037 | C22×C4 | — | 14 | 6 | no | — |
| 1038 | C22×C4 | — | 14 | 12 | no | — |
| 1039 | C22×C4 | — | 14 | 12 | no | — |
| 1040 | C22×C4 | — | 14 | 3 | no | — |
| 1041 | C22×C4 | — | 14 | 6 | no | — |
| 1042 | C22×C4 | — | 14 | 6 | no | — |
| 1043 | C22×C4 | — | 14 | 12 | no | — |
| 1044 | C22×C4 | — | 14 | 12 | no | — |
| 1045 | C22×C4 | — | 14 | 3 | no | — |
| 1046 | C22×C4 | — | 14 | 6 | no | — |
| 1047 | C22×C4 | — | 14 | 3 | no | — |
| 1048 | C22×C4 | — | 14 | 3 | no | — |
| 1049 | C22×C4 | — | 14 | 6 | no | — |
| 1050 | C22×C4 | C23×D7 | 1 | 3 | yes | — |
| 1051 | Q16 | — | 7 | 24 | no | — |
| 1052 | Q16 | — | 7 | 24 | no | — |
| 1053 | Q16 | — | 7 | 24 | no | — |
| 1054 | Q16 | C23×D7 | 1 | 24 | yes | — |
| 1055 | SD16 | — | 7 | 24 | no | — |
| 1056 | SD16 | — | 7 | 8 | no | — |
| 1057 | SD16 | — | 7 | 24 | no | — |
| 1058 | SD16 | — | 7 | 8 | no | — |
| 1059 | SD16 | — | 7 | 24 | no | — |
| 1060 | SD16 | — | 7 | 8 | no | — |
| 1061 | SD16 | C23×D7 | 1 | 24 | yes | — |
| 1062 | SD16 | C23×D7 | 1 | 8 | yes | — |
| 1063 | D8 | — | 7 | 8 | no | — |
| 1064 | D8 | — | 7 | 8 | no | — |
| 1065 | D8 | — | 7 | 8 | no | — |
| 1066 | D8 | C23×D7 | 1 | 8 | yes | — |
| 1067 | M16 | — | 7 | 4 | no | — |
| 1068 | M16 | — | 7 | 12 | no | — |
| 1069 | M16 | — | 7 | 8 | no | — |
| 1070 | M16 | — | 7 | 24 | no | — |
| 1071 | M16 | C23×D7 | 1 | 4 | yes | — |
| 1072 | M16 | C23×D7 | 1 | 12 | yes | — |
| 1073 | C2×C8 | — | 7 | 12 | no | — |
| 1074 | C2×C8 | — | 7 | 8 | no | — |
| 1075 | C2×C8 | — | 7 | 24 | no | — |
| 1076 | C2×C8 | C23×D7 | 1 | 12 | yes | — |
| 1077 | C2×C7 | — | 2 | 1 | no | — |
| 1078 | C2×C7 | — | 2 | 6 | no | — |
| 1079 | C2×C7 | — | 4 | 2 | no | — |
| 1080 | C2×C7 | — | 4 | 4 | no | — |
| 1081 | C2×C7 | C24×D4 | 1 | 1 | yes | characteristic |
| 1082 | D7 | — | 2 | 1 | no | — |
| 1083 | D7 | — | 2 | 6 | no | — |
| 1084 | D7 | — | 4 | 2 | no | — |
| 1085 | D7 | — | 4 | 4 | no | — |
| 1086 | D7 | #3586 | 1 | 2 | yes | direct product factor |
| 1087 | C23 | — | 2 | 1 | no | — |
| 1088 | C23 | — | 2 | 6 | no | — |
| 1089 | C23 | — | 7 | 1 | no | — |
| 1090 | C23 | — | 7 | 6 | no | — |
| 1091 | C23 | — | 7 | 6 | no | — |
| 1092 | C23 | — | 7 | 3 | no | — |
| 1093 | C23 | — | 14 | 2 | no | — |
| 1094 | C23 | — | 14 | 2 | no | — |
| 1095 | C23 | — | 14 | 4 | no | — |
| 1096 | C23 | — | 14 | 12 | no | — |
| 1097 | C23 | — | 14 | 1 | no | — |
| 1098 | C23 | — | 14 | 6 | no | — |
| 1099 | C23 | — | 28 | 6 | no | — |
| 1100 | C23 | — | 28 | 4 | no | — |
| 1101 | C23 | — | 56 | 12 | no | — |
| 1102 | C23 | C2×D4×D7 | 1 | 3 | yes | — |
| 1103 | Q8 | — | 2 | 3 | no | — |
| 1104 | Q8 | — | 2 | 12 | no | — |
| 1105 | Q8 | — | 2 | 6 | no | — |
| 1106 | Q8 | — | 7 | 12 | no | — |
| 1107 | Q8 | — | 7 | 6 | no | — |
| 1108 | Q8 | — | 7 | 4 | no | — |
| 1109 | Q8 | — | 14 | 6 | no | — |
| 1110 | Q8 | — | 14 | 6 | no | — |
| 1111 | Q8 | — | 14 | 24 | no | — |
| 1112 | Q8 | — | 14 | 4 | no | — |
| 1113 | Q8 | — | 14 | 12 | no | — |
| 1114 | Q8 | — | 14 | 3 | no | — |
| 1115 | Q8 | — | 14 | 12 | no | — |
| 1116 | Q8 | — | 14 | 6 | no | — |
| 1117 | Q8 | C2×D4×D7 | 1 | 4 | yes | — |
| 1118 | Q8 | C24×D7 | 1 | 6 | yes | — |
| 1119 | Q8 | C24×D7 | 1 | 4 | yes | — |
| 1120 | D4 | — | 2 | 4 | no | — |
| 1121 | D4 | — | 2 | 12 | no | — |
| 1122 | D4 | — | 2 | 12 | no | — |
| 1123 | D4 | — | 2 | 6 | no | — |
| 1124 | D4 | — | 2 | 1 | no | — |
| 1125 | D4 | — | 7 | 24 | no | — |
| 1126 | D4 | — | 7 | 2 | no | — |
| 1127 | D4 | — | 7 | 4 | no | — |
| 1128 | D4 | — | 7 | 12 | no | — |
| 1129 | D4 | — | 14 | 4 | no | — |
| 1130 | D4 | — | 14 | 12 | no | — |
| 1131 | D4 | — | 14 | 12 | no | — |
| 1132 | D4 | — | 14 | 4 | no | — |
| 1133 | D4 | — | 14 | 12 | no | — |
| 1134 | D4 | — | 14 | 2 | no | — |
| 1135 | D4 | — | 14 | 2 | no | — |
| 1136 | D4 | — | 14 | 4 | no | — |
| 1137 | D4 | — | 14 | 12 | no | — |
| 1138 | D4 | — | 14 | 12 | no | — |
| 1139 | D4 | — | 14 | 4 | no | — |
| 1140 | D4 | — | 14 | 12 | no | — |
| 1141 | D4 | — | 14 | 12 | no | — |
| 1142 | D4 | — | 14 | 6 | no | — |
| 1143 | D4 | — | 14 | 1 | no | — |
| 1144 | D4 | C2×D4×D7 | 1 | 12 | yes | — |
| 1145 | D4 | C24×D7 | 1 | 2 | yes | — |
| 1146 | D4 | C24×D7 | 1 | 4 | yes | — |
| 1147 | C2×C4 | — | 2 | 3 | no | — |
| 1148 | C2×C4 | — | 2 | 6 | no | — |
| 1149 | C2×C4 | — | 2 | 12 | no | — |
| 1150 | C2×C4 | — | 2 | 4 | no | — |
| 1151 | C2×C4 | — | 2 | 12 | no | — |
| 1152 | C2×C4 | — | 2 | 12 | no | — |
| 1153 | C2×C4 | — | 7 | 1 | no | — |
| 1154 | C2×C4 | — | 7 | 3 | no | — |
| 1155 | C2×C4 | — | 7 | 6 | no | — |
| 1156 | C2×C4 | — | 7 | 6 | no | — |
| 1157 | C2×C4 | — | 7 | 1 | no | — |
| 1158 | C2×C4 | — | 7 | 6 | no | — |
| 1159 | C2×C4 | — | 7 | 1 | no | — |
| 1160 | C2×C4 | — | 7 | 1 | no | — |
| 1161 | C2×C4 | — | 7 | 1 | no | — |
| 1162 | C2×C4 | — | 7 | 6 | no | — |
| 1163 | C2×C4 | — | 7 | 6 | no | — |
| 1164 | C2×C4 | — | 7 | 6 | no | — |
| 1165 | C2×C4 | — | 7 | 6 | no | — |
| 1166 | C2×C4 | — | 7 | 6 | no | — |
| 1167 | C2×C4 | — | 14 | 4 | no | — |
| 1168 | C2×C4 | — | 14 | 12 | no | — |
| 1169 | C2×C4 | — | 14 | 12 | no | — |
| 1170 | C2×C4 | — | 14 | 4 | no | — |
| 1171 | C2×C4 | — | 14 | 6 | no | — |
| 1172 | C2×C4 | — | 14 | 6 | no | — |
| 1173 | C2×C4 | — | 14 | 12 | no | — |
| 1174 | C2×C4 | — | 14 | 24 | no | — |
| 1175 | C2×C4 | — | 14 | 4 | no | — |
| 1176 | C2×C4 | — | 14 | 12 | no | — |
| 1177 | C2×C4 | — | 14 | 12 | no | — |
| 1178 | C2×C4 | — | 14 | 3 | no | — |
| 1179 | C2×C4 | — | 14 | 6 | no | — |
| 1180 | C2×C4 | — | 14 | 12 | no | — |
| 1181 | C2×C4 | — | 14 | 4 | no | — |
| 1182 | C2×C4 | — | 14 | 12 | no | — |
| 1183 | C2×C4 | — | 14 | 12 | no | — |
| 1184 | C2×C4 | C2×D4×D7 | 1 | 3 | yes | — |
| 1185 | C2×C4 | C2×D4×D7 | 1 | 6 | yes | — |
| 1186 | C2×C4 | C24×D7 | 1 | 6 | yes | — |
| 1187 | C2×C4 | C24×D7 | 1 | 1 | yes | characteristic |
| 1188 | C8 | — | 7 | 8 | no | — |
| 1189 | C8 | C24×D7 | 1 | 8 | yes | — |
| 1190 | C7 | C2×#3586 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 1191 | C22 | — | 2 | 2 | no | — |
| 1192 | C22 | — | 2 | 4 | no | — |
| 1193 | C22 | — | 4 | 3 | no | — |
| 1194 | C22 | — | 4 | 2 | no | — |
| 1195 | C22 | — | 7 | 1 | no | — |
| 1196 | C22 | — | 7 | 1 | no | — |
| 1197 | C22 | — | 7 | 6 | no | — |
| 1198 | C22 | — | 8 | 6 | no | — |
| 1199 | C22 | — | 14 | 2 | no | — |
| 1200 | C22 | — | 14 | 12 | no | — |
| 1201 | C22 | — | 14 | 2 | no | — |
| 1202 | C22 | — | 14 | 4 | no | — |
| 1203 | C22 | — | 28 | 3 | no | — |
| 1204 | C22 | — | 28 | 6 | no | — |
| 1205 | C22 | — | 28 | 2 | no | — |
| 1206 | C22 | — | 28 | 4 | no | — |
| 1207 | C22 | — | 28 | 8 | no | — |
| 1208 | C22 | — | 28 | 4 | no | — |
| 1209 | C22 | — | 56 | 6 | no | — |
| 1210 | C22 | — | 56 | 12 | no | — |
| 1211 | C22 | C22×D4×D7 | 1 | 1 | yes | characteristic |
| 1212 | C22 | C22×D4×D7 | 1 | 6 | yes | — |
| 1213 | C4 | — | 2 | 4 | no | — |
| 1214 | C4 | — | 2 | 6 | no | — |
| 1215 | C4 | — | 7 | 1 | no | — |
| 1216 | C4 | — | 7 | 1 | no | — |
| 1217 | C4 | — | 7 | 6 | no | — |
| 1218 | C4 | — | 14 | 4 | no | — |
| 1219 | C4 | — | 14 | 6 | no | — |
| 1220 | C4 | C22×D4×D7 | 1 | 1 | yes | characteristic |
| 1221 | C4 | C22×D4×D7 | 1 | 6 | yes | — |
| 1222 | C4 | C25×D7 | 1 | 1 | yes | characteristic |
| 1223 | C2 | — | 2 | 1 | no | — |
| 1224 | C2 | — | 2 | 6 | no | — |
| 1225 | C2 | — | 4 | 2 | no | — |
| 1226 | C2 | — | 4 | 4 | no | — |
| 1227 | C2 | — | 7 | 2 | no | — |
| 1228 | C2 | — | 14 | 1 | no | — |
| 1229 | C2 | — | 14 | 6 | no | — |
| 1230 | C2 | — | 28 | 2 | no | — |
| 1231 | C2 | — | 28 | 4 | no | — |
| 1232 | C2 | C23×D4×D7 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center | C2 | C23×D4×D7 |
| commutator, cosocle | C4×C7 | C26 |
| Frattini | C4 | C25×D7 |
| Fitting | C7×#3586 | C2 |
| socle | C2×C7 | C24×D4 |
| hypercenter | #3586 | D7 |
| hypocenter | C7 | C2×#3586 |
| LCS | G ▷ C4×C7 ▷ C2×C7 ▷ C7 | |
| UCS | C1 ◁ C2 ◁ C2×#41 ◁ #3586 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. D7×#585 | C2 | semidirect |
| 2. C2×D7×2−1+4 | C2 | semidirect |
| 3. C7×#3586 | C2 | semidirect |
| 4. #11744367 | C2 | semidirect |
| 5. #11744355 | C2 | semidirect |
| 6. #11744279 | C2 | semidirect |
| 7. D7×#578 | C2 | semidirect |
| 8. #11744276 | C2 | semidirect |
| 9. D7×#577 | C2 | semidirect |
| 10. #11744269 | C2 | semidirect |
| 11. D7×#575 | C2 | semidirect |
| 12. #11744265 | C2 | semidirect |
| 13. C2×D7×#137 | C2 | semidirect |
| 14. #11744236 | C2 | semidirect |
| 15. D7×#568 | C2 | semidirect |
| 16. C7×#585 | C22 | semidirect |
| 17. C2×C7×2−1+4 | C22 | semidirect |
| 19. #90620 | C22 | semidirect |
| 23. D7×2−1+4 | C22 | semidirect |
| 24. D7×2−1+4 | C22 | semidirect |
| 25. D7×2−1+4 | C22 | semidirect |
| 27. #90618 | C22 | semidirect |
| 29. D7×H(5,𝔽2) | C22 | semidirect |
| 31. #90616 | C22 | semidirect |
| 32. #90616 | C22 | semidirect |
| 34. C2×#6554 | C22 | semidirect |
| 35. C2×#6554 | C22 | semidirect |
| 40. C2×D7×#41 | C22 | semidirect |
| 42. C2×#6551 | C22 | semidirect |
| 44. C22×Q8×D7 | C22 | semidirect |
| 45. C7×#578 | C22 | semidirect |
| 46. C7×#577 | C22 | semidirect |
| 47. C7×#575 | C22 | semidirect |
| 48. C2×C7×#137 | C22 | semidirect |
| 49. C7×#568 | C22 | semidirect |
| 50. #90529 | C22 | semidirect |
| 51. #90529 | C22 | semidirect |
| 52. #90528 | C22 | semidirect |
| 53. #90527 | C22 | semidirect |
| 54. C2×#6514 | C22 | semidirect |
| 55. #90513 | C22 | semidirect |
| 56. #90513 | C22 | semidirect |
| 57. #90510 | C22 | semidirect |
| 58. C2×#6505 | C22 | semidirect |
| 59. #90470 | C22 | semidirect |
| 60. #90470 | C22 | semidirect |
| 61. #90469 | C22 | semidirect |
| 62. #90468 | C22 | semidirect |
| 63. #90468 | C22 | semidirect |
| 64. D7×#137 | C22 | semidirect |
| 65. D7×#137 | C22 | semidirect |
| 66. D7×#137 | C22 | semidirect |
| 67. D7×#137 | C22 | semidirect |
| 68. D7×#137 | C22 | semidirect |
| 69. #90466 | C22 | semidirect |
| 70. #90464 | C22 | semidirect |
| 71. #90464 | C22 | semidirect |
| 72. D7×AGL(1,ℤ/8) | C22 | semidirect |
| 73. D7×AGL(1,ℤ/8) | C22 | semidirect |
| 74. #90462 | C22 | semidirect |
| 75. #90461 | C22 | semidirect |
| 76. #90459 | C22 | semidirect |
| 77. D7×#135 | C22 | semidirect |
| 78. #90457 | C22 | semidirect |
| 79. C2×#6481 | C22 | semidirect |
| 80. C2×D7×Q16 | C22 | semidirect |
| 81. #90453 | C22 | semidirect |
| 82. C2×#6478 | C22 | semidirect |
| 83. C2×D7×SD16 | C22 | semidirect |
| 84. #90444 | C22 | semidirect |
| 85. #90442 | C22 | semidirect |
| 86. #90441 | C22 | semidirect |
| 87. D7×#131 | C22 | semidirect |
| 88. #90439 | C22 | semidirect |
| 89. C2×#6472 | C22 | semidirect |
| 90. #90436 | C22 | semidirect |
| 91. C2×D7×M16 | C22 | semidirect |
| 95. C7×2−1+4 | C23 | semidirect |
| 96. C7×2−1+4 | C23 | semidirect |
| 98. C7×H(5,𝔽2) | C23 | semidirect |
| 103. C2×C7×#41 | C23 | semidirect |
| 105. C22×C7×Q8 | C23 | semidirect |
| 113. #6554 | C23 | semidirect |
| 114. #6554 | C23 | semidirect |
| 115. #6554 | C23 | semidirect |
| 116. #6554 | C23 | semidirect |
| 120. #6553 | C23 | semidirect |
| 121. #6553 | C23 | semidirect |
| 145. D7×#41 | C23 | semidirect |
| 152. #6551 | C23 | semidirect |
| 153. #6551 | C23 | semidirect |
| 158. C2×#1161 | C23 | semidirect |
| 172. C2×Q8×D7 | C23 | semidirect |
| 173. C2×Q8×D7 | C23 | semidirect |
| 178. #6548 | C23 | semidirect |
| 186. C2×#1159 | C23 | semidirect |
| 200. C2×#1157 | C23 | semidirect |
| 207. C22×Dic14 | C23 | semidirect |
| 208. C7×#137 | C23 | semidirect |
| 209. C7×#137 | C23 | semidirect |
| 210. C7×#137 | C23 | semidirect |
| 211. C7×AGL(1,ℤ/8) | C23 | semidirect |
| 212. C7×AGL(1,ℤ/8) | C23 | semidirect |
| 213. C7×#135 | C23 | semidirect |
| 214. C2×C7×Q16 | C23 | semidirect |
| 215. C2×C7×SD16 | C23 | semidirect |
| 216. C7×#131 | C23 | semidirect |
| 217. C2×C7×M16 | C23 | semidirect |
| 218. #6514 | C23 | semidirect |
| 219. #6514 | C23 | semidirect |
| 220. #6514 | C23 | semidirect |
| 221. #6513 | C23 | semidirect |
| 222. #6513 | C23 | semidirect |
| 223. #6512 | C23 | semidirect |
| 224. #6512 | C23 | semidirect |
| 225. #6511 | C23 | semidirect |
| 226. C2×#1144 | C23 | semidirect |
| 227. C2×#1144 | C23 | semidirect |
| 228. #6505 | C23 | semidirect |
| 229. #6505 | C23 | semidirect |
| 230. #6505 | C23 | semidirect |
| 231. C2×#1143 | C23 | semidirect |
| 232. C2×#1142 | C23 | semidirect |
| 233. #6495 | C23 | semidirect |
| 234. #6495 | C23 | semidirect |
| 235. C2×#1136 | C23 | semidirect |
| 236. #6482 | C23 | semidirect |
| 237. #6481 | C23 | semidirect |
| 238. #6481 | C23 | semidirect |
| 239. #6481 | C23 | semidirect |
| 241. D7×Q16 | C23 | semidirect |
| 242. #6479 | C23 | semidirect |
| 243. #6479 | C23 | semidirect |
| 244. #6478 | C23 | semidirect |
| 245. #6478 | C23 | semidirect |
| 246. #6478 | C23 | semidirect |
| 247. #6477 | C23 | semidirect |
| 248. #6477 | C23 | semidirect |
| 251. D7×SD16 | C23 | semidirect |
| 252. #6475 | C23 | semidirect |
| 253. #6474 | C23 | semidirect |
| 254. #6474 | C23 | semidirect |
| 256. #6472 | C23 | semidirect |
| 257. #6472 | C23 | semidirect |
| 258. #6472 | C23 | semidirect |
| 259. #6471 | C23 | semidirect |
| 260. #6471 | C23 | semidirect |
| 261. #6470 | C23 | semidirect |
| 264. D7×M16 | C23 | semidirect |
| 265. D7×M16 | C23 | semidirect |
| 266. C2×Dic28 | C23 | semidirect |
| 267. #6467 | C23 | semidirect |
| 268. C2×#1132 | C23 | semidirect |
| 269. #6464 | C23 | semidirect |
| 270. C2×#1131 | C23 | semidirect |
| 281. #3586 | D7 | direct (N × H) |
| 494. #585 | C2×D7 | semidirect |
| 506. C2×2−1+4 | C2×D7 | semidirect |
| 523. #578 | C2×D7 | semidirect |
| 531. #577 | C2×D7 | semidirect |
| 540. #575 | C2×D7 | semidirect |
| 551. C2×#137 | C2×D7 | semidirect |
| 560. #568 | C2×D7 | semidirect |
| 687. 2−1+4 | C22×D7 | semidirect |
| 688. 2−1+4 | C22×D7 | semidirect |
| 700. H(5,𝔽2) | C22×D7 | semidirect |
| 750. C2×#41 | C22×D7 | semidirect |
| 770. C22×Q8 | C22×D7 | semidirect |
| 796. #137 | C22×D7 | semidirect |
| 797. #137 | C22×D7 | semidirect |
| 798. #137 | C22×D7 | semidirect |
| 809. AGL(1,ℤ/8) | C22×D7 | semidirect |
| 810. AGL(1,ℤ/8) | C22×D7 | semidirect |
| 818. #135 | C22×D7 | semidirect |
| 824. C2×Q16 | C22×D7 | semidirect |
| 831. C2×SD16 | C22×D7 | semidirect |
| 836. #131 | C22×D7 | semidirect |
| 843. C2×M16 | C22×D7 | semidirect |
| 1086. D7 | #3586 | direct (N × H) |
| 1190. C7 | C2×#3586 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D7×#585 | 2 |
| C2×D7×2−1+4 | 2 |
| C7×#3586 | 2 |
| #11744367 | 2 |
| #11744355 | 2 |
| #11744279 | 2 |
| D7×#578 | 2 |
| #11744276 | 2 |
| D7×#577 | 2 |
| #11744269 | 2 |
| D7×#575 | 2 |
| #11744265 | 2 |
| C2×D7×#137 | 2 |
| #11744236 | 2 |
| D7×#568 | 2 |
| C2×#3586 | 7 |