Finite Group DatabasebetaFinite Group DatabasebetaOrder 512.
1840 conjugacy classes of subgroups.
The subgroup lattice has 1248 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #62095 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #61962 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #61217 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #61038 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #20169 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #20168 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #20163 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #20162 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #20031 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #20030 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #20029 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #20028 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | #19700 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #19452 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #19408 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #19190 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 17 | C2×#1699 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 18 | #18888 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 19 | #18882 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 20 | #18799 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 21 | #18798 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 22 | #17935 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 23 | #17881 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 24 | C2×#575 | — | 2 | 1 | no | — |
| 25 | #3511 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | #3499 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | D4×#41 | C22 | 1 | 1 | yes | characteristic |
| 28 | D4×#41 | C22 | 1 | 1 | yes | characteristic |
| 29 | #3397 | C22 | 1 | 2 | yes | — |
| 30 | Q8×D8 | C22 | 1 | 2 | yes | complemented |
| 31 | #3367 | C22 | 1 | 2 | yes | complemented |
| 32 | #3358 | C22 | 1 | 2 | yes | — |
| 33 | #3334 | — | 2 | 2 | no | — |
| 34 | #3334 | C22 | 1 | 2 | yes | — |
| 35 | #3331 | — | 2 | 1 | no | — |
| 36 | #3330 | C22 | 1 | 2 | yes | — |
| 37 | #3330 | C22 | 1 | 2 | yes | complemented |
| 38 | #3329 | — | 2 | 1 | no | — |
| 39 | #3328 | C22 | 1 | 2 | yes | complemented |
| 40 | #3308 | — | 2 | 2 | no | — |
| 41 | #3303 | — | 2 | 1 | no | — |
| 42 | #3302 | C22 | 1 | 2 | yes | complemented |
| 43 | #3299 | — | 2 | 1 | no | — |
| 44 | #3298 | C22 | 1 | 2 | yes | complemented |
| 45 | #3294 | — | 2 | 2 | no | — |
| 46 | #3294 | C22 | 1 | 2 | yes | complemented |
| 47 | #3278 | C22 | 1 | 1 | yes | characteristic |
| 48 | #3278 | C22 | 1 | 1 | yes | characteristic |
| 49 | #3277 | — | 2 | 1 | no | — |
| 50 | #3276 | C22 | 1 | 1 | yes | characteristic |
| 51 | #3276 | C22 | 1 | 1 | yes | characteristic |
| 52 | #3275 | — | 2 | 1 | no | — |
| 53 | #3275 | — | 2 | 1 | no | — |
| 54 | #3274 | C22 | 1 | 1 | yes | characteristic |
| 55 | #3274 | C22 | 1 | 1 | yes | characteristic |
| 56 | #3273 | — | 2 | 1 | no | — |
| 57 | #3272 | C22 | 1 | 1 | yes | characteristic |
| 58 | #3272 | C22 | 1 | 1 | yes | characteristic |
| 59 | #3272 | C22 | 1 | 2 | yes | complemented |
| 60 | #3265 | — | 2 | 2 | no | — |
| 61 | #3254 | — | 2 | 1 | no | — |
| 62 | #3245 | — | 2 | 1 | no | — |
| 63 | #3245 | C22 | 1 | 1 | yes | characteristic, complemented |
| 64 | #3245 | C22 | 1 | 1 | yes | characteristic, complemented |
| 65 | #3227 | C22 | 1 | 1 | yes | characteristic, complemented |
| 66 | #3226 | — | 2 | 1 | no | — |
| 67 | #3226 | C22 | 1 | 1 | yes | characteristic, complemented |
| 68 | #3226 | C22 | 1 | 1 | yes | characteristic, complemented |
| 69 | #3214 | — | 2 | 1 | no | — |
| 70 | #3206 | C22 | 1 | 1 | yes | characteristic, complemented |
| 71 | #3147 | C22 | 1 | 1 | yes | characteristic |
| 72 | C2×#487 | C22 | 1 | 1 | yes | characteristic, complemented |
| 73 | #3110 | — | 2 | 1 | no | — |
| 74 | #3100 | — | 2 | 1 | no | — |
| 75 | #3100 | C22 | 1 | 1 | yes | characteristic |
| 76 | #3097 | — | 2 | 1 | no | — |
| 77 | #3079 | C22 | 1 | 1 | yes | characteristic, complemented |
| 78 | C2×#474 | — | 2 | 1 | no | — |
| 79 | C2×#474 | C22 | 1 | 1 | yes | characteristic |
| 80 | #3063 | — | 2 | 1 | no | — |
| 81 | #3054 | — | 2 | 1 | no | — |
| 82 | #3039 | C22 | 1 | 1 | yes | characteristic, complemented |
| 83 | #3036 | — | 2 | 1 | no | — |
| 84 | #3035 | C22 | 1 | 1 | yes | characteristic |
| 85 | #3035 | C22 | 1 | 1 | yes | characteristic |
| 86 | C2×#461 | C22 | 1 | 1 | yes | characteristic |
| 87 | #3013 | — | 2 | 1 | no | — |
| 88 | #3002 | — | 2 | 1 | no | — |
| 89 | #3002 | — | 2 | 1 | no | — |
| 90 | #2989 | C22 | 1 | 1 | yes | characteristic, complemented |
| 91 | #2988 | C22 | 1 | 1 | yes | characteristic, complemented |
| 92 | C4×#135 | C22 | 1 | 1 | yes | characteristic |
| 93 | #2931 | C22 | 1 | 1 | yes | characteristic, complemented |
| 94 | C2×#436 | C22 | 1 | 1 | yes | characteristic |
| 95 | #2898 | — | 2 | 1 | no | — |
| 96 | #1723 | C22 | 1 | 2 | yes | complemented |
| 97 | #1719 | C22 | 1 | 2 | yes | complemented |
| 98 | #1717 | C22 | 1 | 2 | yes | complemented |
| 99 | #1714 | C22 | 1 | 2 | yes | complemented |
| 100 | #1702 | C22 | 1 | 2 | yes | complemented |
| 101 | #1701 | C22 | 1 | 2 | yes | complemented |
| 102 | #1699 | C22 | 1 | 2 | yes | complemented |
| 103 | #1699 | C22 | 1 | 2 | yes | complemented |
| 104 | #1699 | C22 | 1 | 2 | yes | complemented |
| 105 | #1699 | C22 | 1 | 2 | yes | complemented |
| 106 | #1694 | C22 | 1 | 2 | yes | complemented |
| 107 | #1693 | C22 | 1 | 2 | yes | complemented |
| 108 | #1685 | C22 | 1 | 2 | yes | complemented |
| 109 | #1685 | C22 | 1 | 2 | yes | complemented |
| 110 | #1680 | C22 | 1 | 2 | yes | complemented |
| 111 | #1679 | C22 | 1 | 2 | yes | complemented |
| 112 | #1669 | C22 | 1 | 2 | yes | complemented |
| 113 | #1667 | C22 | 1 | 2 | yes | complemented |
| 114 | #1666 | C22 | 1 | 2 | yes | complemented |
| 115 | #1665 | C22 | 1 | 2 | yes | complemented |
| 116 | #1654 | C22 | 1 | 2 | yes | — |
| 117 | #1654 | C22 | 1 | 2 | yes | complemented |
| 118 | #1652 | C22 | 1 | 2 | yes | complemented |
| 119 | #1651 | C22 | 1 | 2 | yes | complemented |
| 120 | #1649 | C22 | 1 | 2 | yes | complemented |
| 121 | #1649 | C22 | 1 | 2 | yes | complemented |
| 122 | #1647 | C22 | 1 | 2 | yes | — |
| 123 | #1647 | C22 | 1 | 2 | yes | complemented |
| 124 | #1642 | C22 | 1 | 2 | yes | — |
| 125 | #1641 | C22 | 1 | 2 | yes | — |
| 126 | #1639 | C22 | 1 | 2 | yes | complemented |
| 127 | #1639 | C22 | 1 | 2 | yes | complemented |
| 128 | #1628 | C22 | 1 | 2 | yes | complemented |
| 129 | #1627 | C22 | 1 | 2 | yes | complemented |
| 130 | #1625 | C22 | 1 | 2 | yes | complemented |
| 131 | #1625 | C22 | 1 | 2 | yes | complemented |
| 132 | #1594 | C22 | 1 | 2 | yes | complemented |
| 133 | #1594 | C22 | 1 | 2 | yes | complemented |
| 134 | #1588 | C22 | 1 | 2 | yes | complemented |
| 135 | #1586 | C22 | 1 | 2 | yes | complemented |
| 136 | #1586 | C22 | 1 | 2 | yes | complemented |
| 137 | #1585 | C22 | 1 | 2 | yes | complemented |
| 138 | #1584 | C22 | 1 | 2 | yes | complemented |
| 139 | #1581 | C22 | 1 | 2 | yes | complemented |
| 140 | #1570 | C22 | 1 | 1 | yes | characteristic, complemented |
| 141 | C2×#335 | C22 | 1 | 1 | yes | characteristic, complemented |
| 142 | #1547 | C22 | 1 | 1 | yes | characteristic, complemented |
| 143 | #1547 | C22 | 1 | 1 | yes | characteristic, complemented |
| 144 | C2×#332 | C22 | 1 | 1 | yes | characteristic, complemented |
| 145 | C2×#332 | C22 | 1 | 1 | yes | characteristic, complemented |
| 146 | #1486 | C22 | 1 | 1 | yes | characteristic |
| 147 | #1480 | C22 | 1 | 1 | yes | characteristic, complemented |
| 148 | #1477 | C22 | 1 | 1 | yes | characteristic, complemented |
| 149 | #1477 | C22 | 1 | 1 | yes | characteristic, complemented |
| 150 | #1452 | C22 | 1 | 1 | yes | characteristic, complemented |
| 151 | C2×2−1+4 | — | 2 | 1 | no | — |
| 152 | C22×#41 | — | 2 | 1 | no | — |
| 153 | C22×#41 | — | 2 | 1 | no | — |
| 154 | #575 | — | 4 | 8 | no | — |
| 155 | C2×#137 | — | 2 | 1 | no | — |
| 156 | C2×#137 | — | 2 | 1 | no | — |
| 157 | C2×#137 | — | 2 | 1 | no | — |
| 158 | C2×#137 | — | 2 | 1 | no | — |
| 159 | C2×#137 | — | 2 | 1 | no | — |
| 160 | C2×AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 161 | C2×AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 162 | C2×AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 163 | C2×AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 164 | C2×AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 165 | C2×#135 | — | 2 | 1 | no | — |
| 166 | C2×#135 | — | 2 | 1 | no | — |
| 167 | C2×#135 | — | 2 | 1 | no | — |
| 168 | C2×#135 | — | 2 | 1 | no | — |
| 169 | C2×#135 | D4 | 1 | 1 | yes | characteristic |
| 170 | C22×SD16 | — | 2 | 1 | no | — |
| 171 | C2×#131 | — | 2 | 1 | no | — |
| 172 | C22×M16 | — | 2 | 1 | no | — |
| 173 | #556 | C23 | 1 | 2 | yes | — |
| 174 | #555 | — | 2 | 1 | no | — |
| 175 | #554 | — | 2 | 1 | no | — |
| 176 | #553 | — | 4 | 1 | no | — |
| 177 | #550 | C23 | 1 | 1 | yes | characteristic |
| 178 | #550 | C23 | 1 | 1 | yes | characteristic |
| 179 | D4×Q8 | — | 2 | 1 | no | — |
| 180 | D4×Q8 | C23 | 1 | 2 | yes | — |
| 181 | D4×Q8 | C23 | 1 | 1 | yes | characteristic |
| 182 | D4×Q8 | C23 | 1 | 1 | yes | characteristic |
| 183 | #548 | — | 2 | 2 | no | — |
| 184 | #548 | — | 2 | 1 | no | — |
| 185 | #548 | — | 2 | 1 | no | — |
| 186 | #547 | — | 2 | 2 | no | — |
| 187 | #547 | — | 2 | 1 | no | — |
| 188 | #547 | — | 2 | 1 | no | — |
| 189 | #547 | — | 2 | 1 | no | — |
| 190 | #547 | — | 4 | 1 | no | — |
| 191 | #547 | C23 | 1 | 1 | yes | characteristic |
| 192 | #547 | C23 | 1 | 2 | yes | — |
| 193 | #547 | C23 | 1 | 2 | yes | — |
| 194 | #547 | C23 | 1 | 1 | yes | characteristic |
| 195 | #546 | — | 2 | 1 | no | — |
| 196 | #546 | — | 2 | 1 | no | — |
| 197 | #546 | — | 4 | 1 | no | — |
| 198 | #546 | — | 4 | 1 | no | — |
| 199 | D42 | — | 2 | 1 | no | — |
| 200 | D42 | — | 2 | 1 | no | — |
| 201 | D42 | C23 | 1 | 1 | yes | characteristic |
| 202 | D42 | C23 | 1 | 1 | yes | characteristic |
| 203 | #542 | — | 4 | 1 | no | — |
| 204 | #537 | — | 2 | 1 | no | — |
| 205 | #536 | — | 2 | 1 | no | — |
| 206 | #536 | — | 4 | 1 | no | — |
| 207 | #533 | — | 2 | 1 | no | — |
| 208 | #532 | — | 2 | 1 | no | — |
| 209 | #532 | — | 2 | 1 | no | — |
| 210 | #532 | — | 2 | 1 | no | — |
| 211 | #532 | — | 2 | 1 | no | — |
| 212 | #532 | C23 | 1 | 1 | yes | characteristic |
| 213 | #532 | C23 | 1 | 1 | yes | characteristic |
| 214 | #532 | C23 | 1 | 1 | yes | characteristic |
| 215 | C2×C4⋊Q8 | — | 2 | 1 | no | — |
| 216 | C2×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 217 | C2×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 218 | #525 | — | 2 | 1 | no | — |
| 219 | #525 | — | 2 | 1 | no | — |
| 220 | #525 | — | 4 | 1 | no | — |
| 221 | #525 | — | 4 | 1 | no | — |
| 222 | #520 | — | 2 | 1 | no | — |
| 223 | C4×#41 | C23 | 1 | 1 | yes | characteristic |
| 224 | C4×#41 | C23 | 1 | 1 | yes | characteristic |
| 225 | C2×C4×D4 | — | 2 | 1 | no | — |
| 226 | C2×C4×D4 | — | 2 | 1 | no | — |
| 227 | C2×C4×D4 | C23 | 1 | 1 | yes | characteristic |
| 228 | #500 | — | 2 | 2 | no | — |
| 229 | #500 | C23 | 1 | 2 | yes | — |
| 230 | #500 | C23 | 1 | 2 | yes | — |
| 231 | #498 | C23 | 1 | 2 | yes | — |
| 232 | #496 | — | 2 | 2 | no | — |
| 233 | #495 | — | 2 | 1 | no | — |
| 234 | #495 | — | 2 | 1 | no | — |
| 235 | #494 | C23 | 1 | 1 | yes | characteristic |
| 236 | #493 | C23 | 1 | 1 | yes | characteristic |
| 237 | #492 | C23 | 1 | 2 | yes | — |
| 238 | #492 | C23 | 1 | 1 | yes | characteristic |
| 239 | #492 | C23 | 1 | 1 | yes | characteristic |
| 240 | #489 | — | 2 | 2 | no | — |
| 241 | #487 | — | 2 | 1 | no | — |
| 242 | #487 | — | 2 | 1 | no | — |
| 243 | #487 | C23 | 1 | 2 | yes | — |
| 244 | #487 | C23 | 1 | 2 | yes | — |
| 245 | #487 | C23 | 1 | 2 | yes | — |
| 246 | #486 | — | 2 | 2 | no | — |
| 247 | #486 | C23 | 1 | 2 | yes | — |
| 248 | #486 | C23 | 1 | 2 | yes | — |
| 249 | #486 | C23 | 1 | 2 | yes | — |
| 250 | #485 | — | 2 | 2 | no | — |
| 251 | #485 | — | 2 | 2 | no | — |
| 252 | #484 | — | 2 | 2 | no | — |
| 253 | #484 | — | 2 | 2 | no | — |
| 254 | #483 | — | 2 | 2 | no | — |
| 255 | #481 | — | 4 | 1 | no | — |
| 256 | #480 | — | 2 | 2 | no | — |
| 257 | #480 | — | 2 | 2 | no | — |
| 258 | #480 | — | 2 | 2 | no | — |
| 259 | #480 | — | 2 | 2 | no | — |
| 260 | #480 | — | 4 | 1 | no | — |
| 261 | #480 | D4 | 1 | 2 | yes | — |
| 262 | #477 | — | 2 | 1 | no | — |
| 263 | #477 | — | 2 | 2 | no | — |
| 264 | #476 | — | 2 | 1 | no | — |
| 265 | #476 | — | 4 | 1 | no | — |
| 266 | #475 | C23 | 1 | 2 | yes | — |
| 267 | #474 | — | 2 | 1 | no | — |
| 268 | #474 | — | 2 | 1 | no | — |
| 269 | #474 | — | 2 | 1 | no | — |
| 270 | #474 | — | 2 | 1 | no | — |
| 271 | #474 | — | 2 | 2 | no | — |
| 272 | #474 | — | 2 | 1 | no | — |
| 273 | #474 | — | 2 | 1 | no | — |
| 274 | #474 | — | 2 | 2 | no | — |
| 275 | #474 | — | 2 | 2 | no | — |
| 276 | #474 | — | 4 | 1 | no | — |
| 277 | #474 | D4 | 1 | 1 | yes | characteristic |
| 278 | #474 | D4 | 1 | 1 | yes | characteristic |
| 279 | #474 | C23 | 1 | 2 | yes | — |
| 280 | #474 | C23 | 1 | 2 | yes | — |
| 281 | #474 | C23 | 1 | 2 | yes | — |
| 282 | #474 | C23 | 1 | 2 | yes | — |
| 283 | #474 | C23 | 1 | 2 | yes | — |
| 284 | #470 | — | 2 | 1 | no | — |
| 285 | #470 | — | 2 | 1 | no | — |
| 286 | #470 | — | 2 | 2 | no | — |
| 287 | #469 | — | 2 | 1 | no | — |
| 288 | #469 | — | 2 | 1 | no | — |
| 289 | #468 | — | 2 | 2 | no | — |
| 290 | #468 | — | 2 | 1 | no | — |
| 291 | #468 | — | 2 | 1 | no | — |
| 292 | #468 | — | 2 | 1 | no | — |
| 293 | #468 | — | 2 | 1 | no | — |
| 294 | #468 | — | 2 | 2 | no | — |
| 295 | #468 | — | 2 | 2 | no | — |
| 296 | #467 | — | 2 | 2 | no | — |
| 297 | #466 | — | 2 | 2 | no | — |
| 298 | #466 | — | 2 | 2 | no | — |
| 299 | #466 | — | 2 | 2 | no | — |
| 300 | #466 | — | 2 | 2 | no | — |
| 301 | #465 | — | 2 | 2 | no | — |
| 302 | #464 | — | 2 | 1 | no | — |
| 303 | #464 | — | 2 | 1 | no | — |
| 304 | #463 | — | 2 | 2 | no | — |
| 305 | #463 | — | 2 | 1 | no | — |
| 306 | #463 | — | 2 | 1 | no | — |
| 307 | #463 | — | 2 | 2 | no | — |
| 308 | #462 | — | 2 | 1 | no | — |
| 309 | #462 | C23 | 1 | 2 | yes | — |
| 310 | #462 | C23 | 1 | 1 | yes | characteristic |
| 311 | #462 | C23 | 1 | 1 | yes | characteristic |
| 312 | #461 | — | 2 | 1 | no | — |
| 313 | #461 | — | 2 | 1 | no | — |
| 314 | #461 | — | 2 | 1 | no | — |
| 315 | #461 | — | 2 | 1 | no | — |
| 316 | #461 | — | 2 | 1 | no | — |
| 317 | #461 | C23 | 1 | 2 | yes | — |
| 318 | #461 | C23 | 1 | 2 | yes | — |
| 319 | #461 | C23 | 1 | 2 | yes | — |
| 320 | #461 | C23 | 1 | 1 | yes | characteristic |
| 321 | #461 | C23 | 1 | 1 | yes | characteristic |
| 322 | #460 | — | 2 | 2 | no | — |
| 323 | #460 | C23 | 1 | 1 | yes | characteristic |
| 324 | #460 | C23 | 1 | 1 | yes | characteristic |
| 325 | #459 | — | 2 | 2 | no | — |
| 326 | #459 | — | 2 | 1 | no | — |
| 327 | #459 | — | 2 | 1 | no | — |
| 328 | #459 | D4 | 1 | 1 | yes | characteristic |
| 329 | #459 | D4 | 1 | 1 | yes | characteristic |
| 330 | #459 | C23 | 1 | 2 | yes | — |
| 331 | #459 | C23 | 1 | 2 | yes | — |
| 332 | #459 | C23 | 1 | 1 | yes | characteristic |
| 333 | #459 | C23 | 1 | 1 | yes | characteristic |
| 334 | #452 | — | 2 | 2 | no | — |
| 335 | #452 | — | 2 | 1 | no | — |
| 336 | #452 | — | 2 | 1 | no | — |
| 337 | #452 | — | 2 | 1 | no | — |
| 338 | #452 | — | 2 | 1 | no | — |
| 339 | #451 | — | 2 | 2 | no | — |
| 340 | #451 | — | 2 | 1 | no | — |
| 341 | #451 | — | 2 | 1 | no | — |
| 342 | #450 | — | 2 | 2 | no | — |
| 343 | #450 | — | 2 | 1 | no | — |
| 344 | #450 | — | 2 | 1 | no | — |
| 345 | #449 | — | 2 | 2 | no | — |
| 346 | #449 | — | 2 | 2 | no | — |
| 347 | #449 | — | 2 | 1 | no | — |
| 348 | #449 | — | 2 | 1 | no | — |
| 349 | #449 | — | 2 | 2 | no | — |
| 350 | #449 | — | 2 | 1 | no | — |
| 351 | #449 | — | 2 | 1 | no | — |
| 352 | #448 | — | 2 | 2 | no | — |
| 353 | #448 | — | 2 | 1 | no | — |
| 354 | #448 | — | 2 | 1 | no | — |
| 355 | #448 | — | 2 | 2 | no | — |
| 356 | #447 | — | 2 | 2 | no | — |
| 357 | #447 | — | 2 | 1 | no | — |
| 358 | #447 | — | 2 | 1 | no | — |
| 359 | #447 | D4 | 1 | 2 | yes | — |
| 360 | #446 | C23 | 1 | 2 | yes | — |
| 361 | C8×Q8 | C23 | 1 | 2 | yes | — |
| 362 | #440 | — | 2 | 2 | no | — |
| 363 | #440 | — | 2 | 2 | no | — |
| 364 | C4×Q16 | D4 | 1 | 1 | yes | characteristic |
| 365 | C4×Q16 | C23 | 1 | 1 | yes | characteristic |
| 366 | C4×SD16 | D4 | 1 | 1 | yes | characteristic |
| 367 | C4×SD16 | D4 | 1 | 1 | yes | characteristic |
| 368 | C4×SD16 | C23 | 1 | 1 | yes | characteristic |
| 369 | C4×SD16 | C23 | 1 | 1 | yes | characteristic |
| 370 | C4×D8 | — | 2 | 2 | no | — |
| 371 | C4×D8 | — | 2 | 2 | no | — |
| 372 | C4×D8 | D4 | 1 | 1 | yes | characteristic |
| 373 | C4×D8 | C23 | 1 | 2 | yes | — |
| 374 | C4×D8 | C23 | 1 | 1 | yes | characteristic |
| 375 | C4×D8 | C23 | 1 | 2 | yes | — |
| 376 | #436 | — | 2 | 1 | no | — |
| 377 | #436 | — | 2 | 1 | no | — |
| 378 | #436 | — | 2 | 1 | no | — |
| 379 | #436 | C23 | 1 | 2 | yes | — |
| 380 | #436 | C23 | 1 | 2 | yes | — |
| 381 | #436 | C23 | 1 | 1 | yes | characteristic |
| 382 | #436 | C23 | 1 | 1 | yes | characteristic |
| 383 | #436 | C23 | 1 | 1 | yes | characteristic |
| 384 | #436 | C23 | 1 | 1 | yes | characteristic |
| 385 | #435 | — | 2 | 2 | no | — |
| 386 | C8×D4 | — | 2 | 2 | no | — |
| 387 | C8×D4 | — | 2 | 1 | no | — |
| 388 | C8×D4 | C23 | 1 | 2 | yes | — |
| 389 | C8×D4 | C23 | 1 | 2 | yes | — |
| 390 | #432 | — | 2 | 1 | no | — |
| 391 | #431 | — | 2 | 1 | no | — |
| 392 | #431 | C23 | 1 | 1 | yes | characteristic |
| 393 | #431 | C23 | 1 | 1 | yes | characteristic |
| 394 | #428 | — | 2 | 1 | no | — |
| 395 | #427 | D4 | 1 | 1 | yes | characteristic |
| 396 | C2×#107 | — | 2 | 1 | no | — |
| 397 | C2×#107 | — | 2 | 2 | no | — |
| 398 | #423 | — | 2 | 1 | no | — |
| 399 | #423 | C23 | 1 | 1 | yes | characteristic |
| 400 | C2×C4⋊C8 | — | 2 | 1 | no | — |
| 401 | C2×C4⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 402 | C2×C4⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 403 | C2×C4⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 404 | #419 | — | 2 | 1 | no | — |
| 405 | #419 | — | 2 | 2 | no | — |
| 406 | #417 | — | 2 | 1 | no | — |
| 407 | #417 | — | 2 | 2 | no | — |
| 408 | #417 | — | 2 | 2 | no | — |
| 409 | #416 | — | 2 | 1 | no | — |
| 410 | #416 | — | 2 | 1 | no | — |
| 411 | #416 | — | 2 | 2 | no | — |
| 412 | #416 | D4 | 1 | 1 | yes | characteristic |
| 413 | #416 | D4 | 1 | 1 | yes | characteristic |
| 414 | C2×#103 | — | 2 | 1 | no | — |
| 415 | C2×#103 | — | 2 | 1 | no | — |
| 416 | C2×#103 | — | 2 | 1 | no | — |
| 417 | C2×#103 | — | 2 | 2 | no | — |
| 418 | C2×#102 | — | 2 | 1 | no | — |
| 419 | C2×#102 | — | 2 | 2 | no | — |
| 420 | #408 | — | 2 | 1 | no | — |
| 421 | C2×C22⋊C8 | — | 2 | 1 | no | — |
| 422 | C2×C4×C8 | C23 | 1 | 1 | yes | characteristic |
| 423 | #335 | C23 | 1 | 2 | yes | — |
| 424 | #335 | C23 | 1 | 2 | yes | — |
| 425 | #334 | C23 | 1 | 2 | yes | — |
| 426 | #334 | C23 | 1 | 2 | yes | — |
| 427 | #332 | C23 | 1 | 2 | yes | — |
| 428 | #332 | C23 | 1 | 2 | yes | — |
| 429 | #332 | C23 | 1 | 2 | yes | — |
| 430 | #332 | C23 | 1 | 2 | yes | — |
| 431 | #332 | C23 | 1 | 2 | yes | — |
| 432 | #332 | C23 | 1 | 2 | yes | — |
| 433 | #331 | C23 | 1 | 2 | yes | — |
| 434 | #331 | C23 | 1 | 2 | yes | — |
| 435 | Q8⋊C8 | C23 | 1 | 2 | yes | — |
| 436 | Q8⋊C8 | C23 | 1 | 2 | yes | — |
| 437 | D4⋊C8 | C23 | 1 | 2 | yes | — |
| 438 | D4⋊C8 | C23 | 1 | 2 | yes | — |
| 439 | D4⋊C8 | C23 | 1 | 2 | yes | — |
| 440 | D4⋊C8 | C23 | 1 | 2 | yes | — |
| 441 | D4⋊C8 | C23 | 1 | 2 | yes | — |
| 442 | D4⋊C8 | C23 | 1 | 2 | yes | — |
| 443 | #322 | C23 | 1 | 2 | yes | — |
| 444 | #322 | C23 | 1 | 2 | yes | — |
| 445 | 2−1+4 | — | 4 | 4 | no | — |
| 446 | 2−1+4 | — | 8 | 2 | no | — |
| 447 | C2×#41 | — | 2 | 1 | no | — |
| 448 | C2×#41 | — | 2 | 1 | no | — |
| 449 | C2×#41 | — | 2 | 1 | no | — |
| 450 | C2×#41 | — | 2 | 1 | no | — |
| 451 | C2×#41 | — | 2 | 1 | no | — |
| 452 | C2×#41 | — | 2 | 2 | no | — |
| 453 | C2×#41 | — | 2 | 2 | no | — |
| 454 | C2×#41 | — | 2 | 1 | no | — |
| 455 | C2×#41 | — | 2 | 1 | no | — |
| 456 | C2×#41 | — | 4 | 1 | no | — |
| 457 | C2×#41 | — | 4 | 1 | no | — |
| 458 | C2×#41 | — | 4 | 1 | no | — |
| 459 | C2×#41 | — | 4 | 1 | no | — |
| 460 | C2×#41 | — | 4 | 1 | no | — |
| 461 | C2×#41 | — | 4 | 2 | no | — |
| 462 | C2×#41 | — | 4 | 4 | no | — |
| 463 | C2×#41 | — | 4 | 4 | no | — |
| 464 | C2×#41 | — | 8 | 2 | no | — |
| 465 | C2×#41 | — | 8 | 2 | no | — |
| 466 | C2×#41 | C2×D4 | 1 | 1 | yes | characteristic |
| 467 | C2×#41 | C2×D4 | 1 | 1 | yes | characteristic |
| 468 | C22×Q8 | — | 2 | 1 | no | — |
| 469 | C22×Q8 | — | 2 | 1 | no | — |
| 470 | C22×Q8 | — | 2 | 2 | no | — |
| 471 | C22×Q8 | — | 2 | 1 | no | — |
| 472 | C22×Q8 | — | 2 | 1 | no | — |
| 473 | C22×Q8 | — | 4 | 1 | no | — |
| 474 | C22×D4 | — | 2 | 1 | no | — |
| 475 | C22×D4 | — | 2 | 1 | no | — |
| 476 | C22×D4 | — | 2 | 1 | no | — |
| 477 | C22×D4 | — | 2 | 1 | no | — |
| 478 | C22×D4 | — | 4 | 1 | no | — |
| 479 | C22×D4 | — | 4 | 1 | no | — |
| 480 | C22×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 481 | C23×C4 | — | 2 | 1 | no | — |
| 482 | C23×C4 | — | 4 | 1 | no | — |
| 483 | C23×C4 | — | 4 | 1 | no | — |
| 484 | #137 | — | 4 | 4 | no | — |
| 485 | #137 | — | 4 | 4 | no | — |
| 486 | #137 | — | 4 | 4 | no | — |
| 487 | #137 | — | 4 | 4 | no | — |
| 488 | #137 | — | 8 | 2 | no | — |
| 489 | AGL(1,ℤ/8) | — | 4 | 4 | no | — |
| 490 | AGL(1,ℤ/8) | — | 4 | 4 | no | — |
| 491 | AGL(1,ℤ/8) | — | 4 | 4 | no | — |
| 492 | AGL(1,ℤ/8) | — | 4 | 4 | no | — |
| 493 | AGL(1,ℤ/8) | — | 8 | 4 | no | — |
| 494 | #135 | — | 2 | 4 | no | — |
| 495 | #135 | — | 4 | 4 | no | — |
| 496 | #135 | — | 4 | 4 | no | — |
| 497 | #135 | — | 4 | 4 | no | — |
| 498 | #135 | — | 8 | 2 | no | — |
| 499 | C2×Q16 | — | 2 | 1 | no | — |
| 500 | C2×Q16 | — | 2 | 1 | no | — |
| 501 | C2×Q16 | — | 2 | 2 | no | — |
| 502 | C2×Q16 | — | 2 | 1 | no | — |
| 503 | C2×Q16 | — | 2 | 1 | no | — |
| 504 | C2×Q16 | C2×D4 | 1 | 1 | yes | characteristic |
| 505 | C2×SD16 | — | 2 | 1 | no | — |
| 506 | C2×SD16 | — | 2 | 1 | no | — |
| 507 | C2×SD16 | — | 2 | 2 | no | — |
| 508 | C2×SD16 | — | 2 | 1 | no | — |
| 509 | C2×SD16 | — | 2 | 1 | no | — |
| 510 | C2×SD16 | — | 2 | 2 | no | — |
| 511 | C2×SD16 | — | 2 | 2 | no | — |
| 512 | C2×SD16 | — | 2 | 1 | no | — |
| 513 | C2×SD16 | — | 2 | 1 | no | — |
| 514 | C2×SD16 | — | 2 | 1 | no | — |
| 515 | C2×SD16 | — | 2 | 1 | no | — |
| 516 | C2×SD16 | — | 2 | 2 | no | — |
| 517 | C2×SD16 | — | 2 | 2 | no | — |
| 518 | C2×SD16 | — | 8 | 2 | no | — |
| 519 | C2×SD16 | C2×D4 | 1 | 1 | yes | characteristic |
| 520 | C2×SD16 | C2×D4 | 1 | 1 | yes | characteristic |
| 521 | C2×D8 | — | 2 | 1 | no | — |
| 522 | C2×D8 | — | 2 | 1 | no | — |
| 523 | C2×D8 | — | 2 | 2 | no | — |
| 524 | C2×D8 | — | 2 | 2 | no | — |
| 525 | C2×D8 | — | 2 | 1 | no | — |
| 526 | C2×D8 | — | 2 | 1 | no | — |
| 527 | C2×D8 | C2×D4 | 1 | 1 | yes | characteristic |
| 528 | C2×D8 | C2×D4 | 1 | 2 | yes | — |
| 529 | C2×D8 | C2×D4 | 1 | 2 | yes | — |
| 530 | #131 | — | 8 | 2 | no | — |
| 531 | C2×M16 | — | 2 | 1 | no | — |
| 532 | C2×M16 | — | 2 | 1 | no | — |
| 533 | C2×M16 | — | 2 | 1 | no | — |
| 534 | C2×M16 | — | 2 | 1 | no | — |
| 535 | C2×M16 | — | 2 | 1 | no | — |
| 536 | C2×M16 | — | 2 | 2 | no | — |
| 537 | C2×M16 | — | 2 | 2 | no | — |
| 538 | C2×M16 | — | 4 | 4 | no | — |
| 539 | C22×C8 | — | 2 | 1 | no | — |
| 540 | C22×C8 | — | 2 | 1 | no | — |
| 541 | C22×C8 | — | 2 | 1 | no | — |
| 542 | C22×C8 | — | 2 | 2 | no | — |
| 543 | C22×C8 | — | 2 | 2 | no | — |
| 544 | C22×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 545 | C22×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 546 | C4⋊Q8 | — | 2 | 2 | no | — |
| 547 | C4⋊Q8 | — | 2 | 1 | no | — |
| 548 | C4⋊Q8 | — | 2 | 1 | no | — |
| 549 | C4⋊Q8 | — | 2 | 1 | no | — |
| 550 | C4⋊Q8 | — | 2 | 1 | no | — |
| 551 | C4⋊Q8 | — | 2 | 1 | no | — |
| 552 | C4⋊Q8 | — | 2 | 1 | no | — |
| 553 | C4⋊Q8 | — | 2 | 1 | no | — |
| 554 | C4⋊Q8 | — | 2 | 1 | no | — |
| 555 | C4⋊Q8 | — | 4 | 1 | no | — |
| 556 | C4⋊Q8 | — | 4 | 1 | no | — |
| 557 | C4⋊Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 558 | C4⋊Q8 | C24 | 1 | 2 | yes | — |
| 559 | C4⋊Q8 | C24 | 1 | 2 | yes | — |
| 560 | C4⋊Q8 | C24 | 1 | 1 | yes | characteristic |
| 561 | C4⋊Q8 | C24 | 1 | 1 | yes | characteristic |
| 562 | #127 | — | 2 | 1 | no | — |
| 563 | #127 | — | 2 | 1 | no | — |
| 564 | #127 | C2×D4 | 1 | 1 | yes | characteristic |
| 565 | #127 | C24 | 1 | 1 | yes | characteristic |
| 566 | #127 | C24 | 1 | 1 | yes | characteristic |
| 567 | #126 | — | 4 | 2 | no | — |
| 568 | #125 | — | 4 | 1 | no | — |
| 569 | #124 | — | 2 | 2 | no | — |
| 570 | #124 | — | 2 | 1 | no | — |
| 571 | #124 | — | 2 | 1 | no | — |
| 572 | #124 | — | 2 | 1 | no | — |
| 573 | #124 | — | 4 | 1 | no | — |
| 574 | #124 | — | 4 | 1 | no | — |
| 575 | #124 | — | 4 | 1 | no | — |
| 576 | #124 | — | 4 | 2 | no | — |
| 577 | #123 | — | 4 | 1 | no | — |
| 578 | #123 | — | 4 | 1 | no | — |
| 579 | #123 | — | 4 | 2 | no | — |
| 580 | #123 | — | 4 | 2 | no | — |
| 581 | #123 | — | 4 | 2 | no | — |
| 582 | #123 | — | 4 | 1 | no | — |
| 583 | #123 | — | 4 | 1 | no | — |
| 584 | #123 | — | 4 | 1 | no | — |
| 585 | #123 | — | 4 | 1 | no | — |
| 586 | #123 | — | 4 | 2 | no | — |
| 587 | C22⋊Q8 | — | 2 | 2 | no | — |
| 588 | C22⋊Q8 | — | 2 | 1 | no | — |
| 589 | C22⋊Q8 | — | 2 | 1 | no | — |
| 590 | C22⋊Q8 | — | 2 | 1 | no | — |
| 591 | C22⋊Q8 | — | 2 | 1 | no | — |
| 592 | C22⋊Q8 | — | 2 | 2 | no | — |
| 593 | C22⋊Q8 | — | 2 | 2 | no | — |
| 594 | C22⋊Q8 | — | 2 | 2 | no | — |
| 595 | C22⋊Q8 | — | 4 | 1 | no | — |
| 596 | C22⋊Q8 | — | 4 | 1 | no | — |
| 597 | C22⋊Q8 | — | 4 | 2 | no | — |
| 598 | C22⋊Q8 | — | 4 | 2 | no | — |
| 599 | C22⋊Q8 | — | 4 | 2 | no | — |
| 600 | C22⋊Q8 | — | 4 | 1 | no | — |
| 601 | C22⋊Q8 | — | 4 | 1 | no | — |
| 602 | C22⋊Q8 | — | 4 | 1 | no | — |
| 603 | #121 | — | 2 | 1 | no | — |
| 604 | #121 | — | 2 | 1 | no | — |
| 605 | #121 | — | 2 | 1 | no | — |
| 606 | #121 | — | 2 | 2 | no | — |
| 607 | #121 | — | 2 | 2 | no | — |
| 608 | #121 | — | 2 | 1 | no | — |
| 609 | #121 | — | 2 | 1 | no | — |
| 610 | #121 | — | 2 | 1 | no | — |
| 611 | #121 | — | 2 | 1 | no | — |
| 612 | #121 | — | 2 | 1 | no | — |
| 613 | #121 | — | 2 | 1 | no | — |
| 614 | #121 | — | 2 | 1 | no | — |
| 615 | #121 | — | 2 | 1 | no | — |
| 616 | #121 | — | 2 | 1 | no | — |
| 617 | #121 | — | 2 | 1 | no | — |
| 618 | #121 | — | 4 | 1 | no | — |
| 619 | #121 | — | 4 | 1 | no | — |
| 620 | #121 | — | 4 | 1 | no | — |
| 621 | #121 | — | 4 | 1 | no | — |
| 622 | #121 | — | 4 | 1 | no | — |
| 623 | #121 | — | 4 | 1 | no | — |
| 624 | #121 | — | 4 | 1 | no | — |
| 625 | #121 | — | 4 | 1 | no | — |
| 626 | #121 | — | 4 | 1 | no | — |
| 627 | #121 | — | 4 | 2 | no | — |
| 628 | #121 | C2×D4 | 1 | 2 | yes | — |
| 629 | #120 | — | 4 | 1 | no | — |
| 630 | #120 | — | 4 | 1 | no | — |
| 631 | #120 | — | 4 | 1 | no | — |
| 632 | #120 | — | 4 | 1 | no | — |
| 633 | #120 | — | 4 | 1 | no | — |
| 634 | #120 | — | 4 | 1 | no | — |
| 635 | C4×Q8 | — | 2 | 2 | no | — |
| 636 | C4×Q8 | — | 4 | 1 | no | — |
| 637 | C4×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 638 | C4×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 639 | C4×Q8 | C24 | 1 | 1 | yes | characteristic |
| 640 | C4×Q8 | C24 | 1 | 1 | yes | characteristic |
| 641 | C4×D4 | — | 2 | 1 | no | — |
| 642 | C4×D4 | — | 2 | 1 | no | — |
| 643 | C4×D4 | — | 2 | 1 | no | — |
| 644 | C4×D4 | — | 2 | 1 | no | — |
| 645 | C4×D4 | — | 2 | 1 | no | — |
| 646 | C4×D4 | — | 2 | 1 | no | — |
| 647 | C4×D4 | — | 2 | 2 | no | — |
| 648 | C4×D4 | — | 2 | 1 | no | — |
| 649 | C4×D4 | — | 2 | 1 | no | — |
| 650 | C4×D4 | — | 2 | 1 | no | — |
| 651 | C4×D4 | — | 2 | 1 | no | — |
| 652 | C4×D4 | — | 2 | 1 | no | — |
| 653 | C4×D4 | — | 2 | 1 | no | — |
| 654 | C4×D4 | — | 2 | 1 | no | — |
| 655 | C4×D4 | — | 2 | 1 | no | — |
| 656 | C4×D4 | — | 2 | 1 | no | — |
| 657 | C4×D4 | — | 4 | 1 | no | — |
| 658 | C4×D4 | — | 4 | 1 | no | — |
| 659 | C4×D4 | — | 4 | 1 | no | — |
| 660 | C4×D4 | — | 4 | 1 | no | — |
| 661 | C4×D4 | — | 4 | 1 | no | — |
| 662 | C4×D4 | — | 4 | 1 | no | — |
| 663 | C4×D4 | — | 4 | 1 | no | — |
| 664 | C4×D4 | — | 4 | 1 | no | — |
| 665 | C4×D4 | — | 4 | 1 | no | — |
| 666 | C4×D4 | — | 4 | 2 | no | — |
| 667 | C4×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 668 | C4×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 669 | C4×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 670 | C4×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 671 | C4×D4 | C24 | 1 | 1 | yes | characteristic |
| 672 | C4×D4 | C24 | 1 | 1 | yes | characteristic |
| 673 | C4×D4 | C24 | 1 | 1 | yes | characteristic |
| 674 | C4×D4 | C24 | 1 | 1 | yes | characteristic |
| 675 | C4×D4 | C24 | 1 | 2 | yes | — |
| 676 | #117 | — | 2 | 1 | no | — |
| 677 | #117 | — | 2 | 1 | no | — |
| 678 | #117 | — | 2 | 2 | no | — |
| 679 | #117 | — | 4 | 1 | no | — |
| 680 | #117 | C2×D4 | 1 | 1 | yes | characteristic |
| 681 | #117 | C2×D4 | 1 | 1 | yes | characteristic |
| 682 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 683 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 684 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 685 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 686 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 687 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 688 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 689 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 690 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 691 | C2×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 692 | C2×C22⋊C4 | — | 2 | 1 | no | — |
| 693 | C2×C22⋊C4 | — | 4 | 1 | no | — |
| 694 | C2×C22⋊C4 | — | 4 | 1 | no | — |
| 695 | C2×C42 | — | 2 | 1 | no | — |
| 696 | C2×C42 | — | 2 | 1 | no | — |
| 697 | C2×C42 | C24 | 1 | 1 | yes | characteristic |
| 698 | #107 | — | 2 | 2 | no | — |
| 699 | #107 | — | 2 | 2 | no | — |
| 700 | #107 | — | 2 | 2 | no | — |
| 701 | #107 | — | 2 | 2 | no | — |
| 702 | #107 | — | 2 | 2 | no | — |
| 703 | #107 | — | 2 | 2 | no | — |
| 704 | #107 | — | 2 | 2 | no | — |
| 705 | #107 | — | 4 | 2 | no | — |
| 706 | #107 | C2×D4 | 1 | 2 | yes | — |
| 707 | #107 | C2×D4 | 1 | 1 | yes | characteristic |
| 708 | #107 | C2×D4 | 1 | 1 | yes | characteristic |
| 709 | #107 | C2×D4 | 1 | 2 | yes | — |
| 710 | #106 | — | 2 | 2 | no | — |
| 711 | #106 | — | 4 | 2 | no | — |
| 712 | #106 | C2×D4 | 1 | 1 | yes | characteristic |
| 713 | #106 | C2×D4 | 1 | 1 | yes | characteristic |
| 714 | C4⋊C8 | — | 2 | 2 | no | — |
| 715 | C4⋊C8 | — | 2 | 2 | no | — |
| 716 | C4⋊C8 | — | 2 | 1 | no | — |
| 717 | C4⋊C8 | — | 2 | 1 | no | — |
| 718 | C4⋊C8 | — | 2 | 1 | no | — |
| 719 | C4⋊C8 | — | 2 | 1 | no | — |
| 720 | C4⋊C8 | — | 2 | 1 | no | — |
| 721 | C4⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 722 | C4⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 723 | C4⋊C8 | C24 | 1 | 2 | yes | — |
| 724 | C4⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 725 | C4⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 726 | C4⋊C8 | C24 | 1 | 2 | yes | — |
| 727 | C4⋊C8 | C24 | 1 | 2 | yes | — |
| 728 | #103 | — | 2 | 2 | no | — |
| 729 | #103 | — | 2 | 2 | no | — |
| 730 | #103 | — | 2 | 2 | no | — |
| 731 | #103 | — | 2 | 2 | no | — |
| 732 | #103 | — | 2 | 2 | no | — |
| 733 | #103 | — | 2 | 2 | no | — |
| 734 | #103 | — | 2 | 2 | no | — |
| 735 | #103 | — | 2 | 2 | no | — |
| 736 | #103 | — | 2 | 2 | no | — |
| 737 | #103 | — | 2 | 2 | no | — |
| 738 | #103 | — | 2 | 2 | no | — |
| 739 | #103 | — | 2 | 1 | no | — |
| 740 | #103 | — | 2 | 1 | no | — |
| 741 | #103 | — | 2 | 1 | no | — |
| 742 | #103 | — | 2 | 1 | no | — |
| 743 | #103 | C2×D4 | 1 | 1 | yes | characteristic |
| 744 | #103 | C2×D4 | 1 | 1 | yes | characteristic |
| 745 | #103 | C2×D4 | 1 | 1 | yes | characteristic |
| 746 | #103 | C2×D4 | 1 | 1 | yes | characteristic |
| 747 | #102 | — | 2 | 2 | no | — |
| 748 | #102 | — | 2 | 2 | no | — |
| 749 | #102 | — | 2 | 2 | no | — |
| 750 | #102 | — | 2 | 2 | no | — |
| 751 | #102 | — | 2 | 2 | no | — |
| 752 | #102 | — | 2 | 2 | no | — |
| 753 | #102 | — | 2 | 2 | no | — |
| 754 | #102 | — | 2 | 2 | no | — |
| 755 | #102 | — | 2 | 1 | no | — |
| 756 | #102 | — | 2 | 1 | no | — |
| 757 | #102 | — | 2 | 1 | no | — |
| 758 | #102 | — | 2 | 1 | no | — |
| 759 | #102 | — | 2 | 2 | no | — |
| 760 | #102 | — | 4 | 2 | no | — |
| 761 | #102 | — | 4 | 2 | no | — |
| 762 | #102 | C2×D4 | 1 | 2 | yes | — |
| 763 | #102 | C2×D4 | 1 | 1 | yes | characteristic |
| 764 | #102 | C2×D4 | 1 | 1 | yes | characteristic |
| 765 | #102 | C2×D4 | 1 | 1 | yes | characteristic |
| 766 | #102 | C2×D4 | 1 | 1 | yes | characteristic |
| 767 | #102 | C2×D4 | 1 | 2 | yes | — |
| 768 | #102 | C2×D4 | 1 | 2 | yes | — |
| 769 | #102 | C2×D4 | 1 | 2 | yes | — |
| 770 | C22⋊C8 | — | 2 | 1 | no | — |
| 771 | C22⋊C8 | — | 2 | 1 | no | — |
| 772 | C22⋊C8 | — | 2 | 1 | no | — |
| 773 | C22⋊C8 | — | 2 | 1 | no | — |
| 774 | C22⋊C8 | — | 2 | 1 | no | — |
| 775 | C22⋊C8 | — | 2 | 2 | no | — |
| 776 | C22⋊C8 | — | 2 | 2 | no | — |
| 777 | C22⋊C8 | — | 2 | 2 | no | — |
| 778 | C22⋊C8 | — | 2 | 2 | no | — |
| 779 | C22⋊C8 | C2×D4 | 1 | 2 | yes | — |
| 780 | #97 | — | 2 | 2 | no | — |
| 781 | C4×C8 | — | 2 | 2 | no | — |
| 782 | C4×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 783 | C4×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 784 | C4×C8 | C24 | 1 | 2 | yes | — |
| 785 | C4×C8 | C24 | 1 | 2 | yes | — |
| 786 | C4×C8 | C24 | 1 | 1 | yes | characteristic |
| 787 | C4×C8 | C24 | 1 | 1 | yes | characteristic |
| 788 | C24 | — | 2 | 1 | no | — |
| 789 | C24 | — | 4 | 1 | no | — |
| 790 | C24 | — | 4 | 1 | no | — |
| 791 | #41 | — | 2 | 2 | no | — |
| 792 | #41 | — | 2 | 2 | no | — |
| 793 | #41 | — | 2 | 2 | no | — |
| 794 | #41 | — | 4 | 2 | no | — |
| 795 | #41 | — | 4 | 2 | no | — |
| 796 | #41 | — | 4 | 2 | no | — |
| 797 | #41 | — | 4 | 2 | no | — |
| 798 | #41 | — | 4 | 2 | no | — |
| 799 | #41 | — | 4 | 2 | no | — |
| 800 | #41 | — | 4 | 4 | no | — |
| 801 | #41 | — | 4 | 2 | no | — |
| 802 | #41 | — | 4 | 2 | no | — |
| 803 | #41 | — | 4 | 2 | no | — |
| 804 | #41 | — | 4 | 2 | no | — |
| 805 | #41 | — | 8 | 4 | no | — |
| 806 | #41 | — | 8 | 4 | no | — |
| 807 | #41 | — | 8 | 4 | no | — |
| 808 | #41 | — | 8 | 1 | no | — |
| 809 | #41 | — | 8 | 1 | no | — |
| 810 | #41 | — | 8 | 2 | no | — |
| 811 | #41 | — | 8 | 4 | no | — |
| 812 | #41 | — | 8 | 1 | no | — |
| 813 | #41 | — | 8 | 1 | no | — |
| 814 | #41 | — | 8 | 4 | no | — |
| 815 | #41 | — | 8 | 2 | no | — |
| 816 | #41 | — | 8 | 2 | no | — |
| 817 | #41 | — | 8 | 8 | no | — |
| 818 | #41 | AGL(1,ℤ/8) | 1 | 4 | yes | complemented |
| 819 | C2×Q8 | — | 2 | 1 | no | — |
| 820 | C2×Q8 | — | 2 | 2 | no | — |
| 821 | C2×Q8 | — | 2 | 2 | no | — |
| 822 | C2×Q8 | — | 2 | 1 | no | — |
| 823 | C2×Q8 | — | 2 | 1 | no | — |
| 824 | C2×Q8 | — | 4 | 1 | no | — |
| 825 | C2×Q8 | — | 4 | 1 | no | — |
| 826 | C2×Q8 | — | 4 | 2 | no | — |
| 827 | C2×Q8 | — | 4 | 1 | no | — |
| 828 | C2×Q8 | — | 4 | 1 | no | — |
| 829 | C2×Q8 | — | 4 | 2 | no | — |
| 830 | C2×Q8 | — | 4 | 2 | no | — |
| 831 | C2×Q8 | — | 4 | 4 | no | — |
| 832 | C2×Q8 | — | 4 | 2 | no | — |
| 833 | C2×Q8 | — | 4 | 2 | no | — |
| 834 | C2×Q8 | — | 8 | 4 | no | — |
| 835 | C2×Q8 | — | 8 | 1 | no | — |
| 836 | C2×Q8 | — | 8 | 1 | no | — |
| 837 | C2×Q8 | — | 8 | 1 | no | — |
| 838 | C2×Q8 | — | 8 | 1 | no | — |
| 839 | C2×Q8 | — | 8 | 2 | no | — |
| 840 | C2×Q8 | C22×D4 | 1 | 1 | yes | characteristic |
| 841 | C2×Q8 | C22×D4 | 1 | 1 | yes | characteristic |
| 842 | C2×D4 | — | 2 | 1 | no | — |
| 843 | C2×D4 | — | 2 | 1 | no | — |
| 844 | C2×D4 | — | 2 | 2 | no | — |
| 845 | C2×D4 | — | 2 | 1 | no | — |
| 846 | C2×D4 | — | 2 | 1 | no | — |
| 847 | C2×D4 | — | 2 | 1 | no | — |
| 848 | C2×D4 | — | 2 | 1 | no | — |
| 849 | C2×D4 | — | 2 | 1 | no | — |
| 850 | C2×D4 | — | 2 | 1 | no | — |
| 851 | C2×D4 | — | 2 | 1 | no | — |
| 852 | C2×D4 | — | 2 | 1 | no | — |
| 853 | C2×D4 | — | 2 | 1 | no | — |
| 854 | C2×D4 | — | 4 | 1 | no | — |
| 855 | C2×D4 | — | 4 | 1 | no | — |
| 856 | C2×D4 | — | 4 | 1 | no | — |
| 857 | C2×D4 | — | 4 | 1 | no | — |
| 858 | C2×D4 | — | 4 | 1 | no | — |
| 859 | C2×D4 | — | 4 | 1 | no | — |
| 860 | C2×D4 | — | 4 | 1 | no | — |
| 861 | C2×D4 | — | 4 | 1 | no | — |
| 862 | C2×D4 | — | 4 | 1 | no | — |
| 863 | C2×D4 | — | 4 | 1 | no | — |
| 864 | C2×D4 | — | 4 | 2 | no | — |
| 865 | C2×D4 | — | 4 | 2 | no | — |
| 866 | C2×D4 | — | 4 | 2 | no | — |
| 867 | C2×D4 | — | 4 | 2 | no | — |
| 868 | C2×D4 | — | 4 | 1 | no | — |
| 869 | C2×D4 | — | 4 | 1 | no | — |
| 870 | C2×D4 | — | 4 | 2 | no | — |
| 871 | C2×D4 | — | 4 | 1 | no | — |
| 872 | C2×D4 | — | 4 | 1 | no | — |
| 873 | C2×D4 | — | 4 | 2 | no | — |
| 874 | C2×D4 | — | 8 | 1 | no | — |
| 875 | C2×D4 | — | 8 | 1 | no | — |
| 876 | C2×D4 | — | 8 | 1 | no | — |
| 877 | C2×D4 | — | 8 | 1 | no | — |
| 878 | C2×D4 | — | 8 | 4 | no | — |
| 879 | C2×D4 | — | 8 | 4 | no | — |
| 880 | C2×D4 | C22×D4 | 1 | 1 | yes | characteristic |
| 881 | C2×D4 | C22×D4 | 1 | 1 | yes | characteristic |
| 882 | C2×D4 | C22×D4 | 1 | 2 | yes | — |
| 883 | C2×D4 | C22×D4 | 1 | 1 | yes | characteristic |
| 884 | C2×D4 | C22×D4 | 1 | 1 | yes | characteristic |
| 885 | C22×C4 | — | 2 | 1 | no | — |
| 886 | C22×C4 | — | 2 | 1 | no | — |
| 887 | C22×C4 | — | 2 | 1 | no | — |
| 888 | C22×C4 | — | 2 | 1 | no | — |
| 889 | C22×C4 | — | 2 | 1 | no | — |
| 890 | C22×C4 | — | 2 | 1 | no | — |
| 891 | C22×C4 | — | 2 | 1 | no | — |
| 892 | C22×C4 | — | 2 | 2 | no | — |
| 893 | C22×C4 | — | 2 | 1 | no | — |
| 894 | C22×C4 | — | 2 | 1 | no | — |
| 895 | C22×C4 | — | 2 | 1 | no | — |
| 896 | C22×C4 | — | 2 | 1 | no | — |
| 897 | C22×C4 | — | 4 | 1 | no | — |
| 898 | C22×C4 | — | 4 | 1 | no | — |
| 899 | C22×C4 | — | 4 | 1 | no | — |
| 900 | C22×C4 | — | 4 | 1 | no | — |
| 901 | C22×C4 | — | 4 | 2 | no | — |
| 902 | C22×C4 | — | 4 | 1 | no | — |
| 903 | C22×C4 | — | 4 | 1 | no | — |
| 904 | C22×C4 | — | 4 | 2 | no | — |
| 905 | C22×C4 | — | 4 | 2 | no | — |
| 906 | C22×C4 | — | 4 | 2 | no | — |
| 907 | C22×C4 | — | 4 | 2 | no | — |
| 908 | C22×C4 | — | 4 | 1 | no | — |
| 909 | C22×C4 | — | 4 | 1 | no | — |
| 910 | C22×C4 | — | 4 | 1 | no | — |
| 911 | C22×C4 | — | 4 | 1 | no | — |
| 912 | C22×C4 | — | 8 | 4 | no | — |
| 913 | C22×C4 | — | 8 | 4 | no | — |
| 914 | C22×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 915 | C22×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 916 | C22×C4 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 917 | Q16 | — | 2 | 2 | no | — |
| 918 | Q16 | — | 4 | 2 | no | — |
| 919 | Q16 | — | 4 | 2 | no | — |
| 920 | Q16 | — | 4 | 2 | no | — |
| 921 | Q16 | — | 8 | 1 | no | — |
| 922 | Q16 | — | 8 | 2 | no | — |
| 923 | SD16 | — | 2 | 2 | no | — |
| 924 | SD16 | — | 2 | 2 | no | — |
| 925 | SD16 | — | 4 | 2 | no | — |
| 926 | SD16 | — | 4 | 2 | no | — |
| 927 | SD16 | — | 4 | 4 | no | — |
| 928 | SD16 | — | 4 | 2 | no | — |
| 929 | SD16 | — | 4 | 2 | no | — |
| 930 | SD16 | — | 4 | 2 | no | — |
| 931 | SD16 | — | 4 | 2 | no | — |
| 932 | SD16 | — | 8 | 2 | no | — |
| 933 | SD16 | — | 8 | 1 | no | — |
| 934 | SD16 | — | 8 | 1 | no | — |
| 935 | SD16 | — | 8 | 2 | no | — |
| 936 | SD16 | — | 8 | 2 | no | — |
| 937 | SD16 | — | 8 | 2 | no | — |
| 938 | D8 | — | 2 | 2 | no | — |
| 939 | D8 | — | 4 | 2 | no | — |
| 940 | D8 | — | 4 | 2 | no | — |
| 941 | D8 | — | 4 | 2 | no | — |
| 942 | D8 | — | 4 | 2 | no | — |
| 943 | D8 | — | 4 | 2 | no | — |
| 944 | D8 | — | 8 | 1 | no | — |
| 945 | D8 | — | 8 | 2 | no | — |
| 946 | D8 | — | 8 | 2 | no | — |
| 947 | M16 | — | 4 | 2 | no | — |
| 948 | M16 | — | 4 | 2 | no | — |
| 949 | M16 | — | 4 | 2 | no | — |
| 950 | M16 | — | 4 | 2 | no | — |
| 951 | M16 | — | 4 | 2 | no | — |
| 952 | M16 | — | 8 | 2 | no | — |
| 953 | M16 | — | 8 | 2 | no | — |
| 954 | C2×C8 | — | 2 | 2 | no | — |
| 955 | C2×C8 | — | 2 | 2 | no | — |
| 956 | C2×C8 | — | 2 | 2 | no | — |
| 957 | C2×C8 | — | 2 | 2 | no | — |
| 958 | C2×C8 | — | 2 | 1 | no | — |
| 959 | C2×C8 | — | 2 | 1 | no | — |
| 960 | C2×C8 | — | 2 | 2 | no | — |
| 961 | C2×C8 | — | 2 | 2 | no | — |
| 962 | C2×C8 | — | 4 | 2 | no | — |
| 963 | C2×C8 | — | 8 | 2 | no | — |
| 964 | C2×C8 | — | 8 | 2 | no | — |
| 965 | C2×C8 | — | 8 | 1 | no | — |
| 966 | C2×C8 | — | 8 | 1 | no | — |
| 967 | C2×C8 | C22×D4 | 1 | 2 | yes | — |
| 968 | C2×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 969 | C2×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 970 | C2×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 971 | C2×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 972 | C2×C8 | C22×D4 | 1 | 2 | yes | — |
| 973 | C4⋊C4 | — | 2 | 1 | no | — |
| 974 | C4⋊C4 | — | 2 | 1 | no | — |
| 975 | C4⋊C4 | — | 2 | 1 | no | — |
| 976 | C4⋊C4 | — | 2 | 1 | no | — |
| 977 | C4⋊C4 | — | 2 | 1 | no | — |
| 978 | C4⋊C4 | — | 2 | 1 | no | — |
| 979 | C4⋊C4 | — | 2 | 2 | no | — |
| 980 | C4⋊C4 | — | 2 | 1 | no | — |
| 981 | C4⋊C4 | — | 2 | 1 | no | — |
| 982 | C4⋊C4 | — | 2 | 2 | no | — |
| 983 | C4⋊C4 | — | 2 | 2 | no | — |
| 984 | C4⋊C4 | — | 2 | 2 | no | — |
| 985 | C4⋊C4 | — | 2 | 1 | no | — |
| 986 | C4⋊C4 | — | 2 | 1 | no | — |
| 987 | C4⋊C4 | — | 4 | 1 | no | — |
| 988 | C4⋊C4 | — | 4 | 1 | no | — |
| 989 | C4⋊C4 | — | 4 | 2 | no | — |
| 990 | C4⋊C4 | — | 4 | 2 | no | — |
| 991 | C4⋊C4 | — | 4 | 2 | no | — |
| 992 | C4⋊C4 | — | 4 | 1 | no | — |
| 993 | C4⋊C4 | — | 4 | 1 | no | — |
| 994 | C4⋊C4 | — | 4 | 2 | no | — |
| 995 | C4⋊C4 | — | 4 | 1 | no | — |
| 996 | C4⋊C4 | — | 4 | 1 | no | — |
| 997 | C4⋊C4 | — | 4 | 1 | no | — |
| 998 | C4⋊C4 | — | 4 | 1 | no | — |
| 999 | C4⋊C4 | C22×D4 | 1 | 2 | yes | — |
| 1000 | C4⋊C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1001 | C4⋊C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1002 | C4⋊C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1003 | C4⋊C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1004 | C4⋊C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1005 | C4⋊C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1006 | C22⋊C4 | — | 2 | 1 | no | — |
| 1007 | C22⋊C4 | — | 2 | 1 | no | — |
| 1008 | C22⋊C4 | — | 2 | 1 | no | — |
| 1009 | C22⋊C4 | — | 2 | 1 | no | — |
| 1010 | C22⋊C4 | — | 2 | 1 | no | — |
| 1011 | C22⋊C4 | — | 2 | 1 | no | — |
| 1012 | C22⋊C4 | — | 2 | 2 | no | — |
| 1013 | C22⋊C4 | — | 2 | 1 | no | — |
| 1014 | C22⋊C4 | — | 2 | 1 | no | — |
| 1015 | C22⋊C4 | — | 2 | 1 | no | — |
| 1016 | C22⋊C4 | — | 2 | 1 | no | — |
| 1017 | C22⋊C4 | — | 2 | 2 | no | — |
| 1018 | C22⋊C4 | — | 4 | 1 | no | — |
| 1019 | C22⋊C4 | — | 4 | 1 | no | — |
| 1020 | C22⋊C4 | — | 4 | 1 | no | — |
| 1021 | C22⋊C4 | — | 4 | 1 | no | — |
| 1022 | C22⋊C4 | — | 4 | 1 | no | — |
| 1023 | C22⋊C4 | — | 4 | 1 | no | — |
| 1024 | C22⋊C4 | — | 4 | 2 | no | — |
| 1025 | C22⋊C4 | — | 4 | 2 | no | — |
| 1026 | C22⋊C4 | — | 4 | 2 | no | — |
| 1027 | C22⋊C4 | — | 4 | 1 | no | — |
| 1028 | C22⋊C4 | — | 4 | 1 | no | — |
| 1029 | C22⋊C4 | — | 4 | 2 | no | — |
| 1030 | C22⋊C4 | — | 4 | 2 | no | — |
| 1031 | C22⋊C4 | — | 4 | 1 | no | — |
| 1032 | C22⋊C4 | — | 4 | 1 | no | — |
| 1033 | C22⋊C4 | — | 4 | 1 | no | — |
| 1034 | C22⋊C4 | — | 4 | 1 | no | — |
| 1035 | C42 | — | 2 | 1 | no | — |
| 1036 | C42 | — | 2 | 1 | no | — |
| 1037 | C42 | — | 2 | 1 | no | — |
| 1038 | C42 | — | 2 | 1 | no | — |
| 1039 | C42 | — | 2 | 1 | no | — |
| 1040 | C42 | — | 2 | 1 | no | — |
| 1041 | C42 | — | 4 | 2 | no | — |
| 1042 | C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 1043 | C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 1044 | C42 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 1045 | C42 | C25 | 1 | 1 | yes | characteristic |
| 1046 | C23 | — | 2 | 1 | no | — |
| 1047 | C23 | — | 2 | 2 | no | — |
| 1048 | C23 | — | 2 | 1 | no | — |
| 1049 | C23 | — | 2 | 1 | no | — |
| 1050 | C23 | — | 2 | 1 | no | — |
| 1051 | C23 | — | 4 | 2 | no | — |
| 1052 | C23 | — | 4 | 1 | no | — |
| 1053 | C23 | — | 4 | 1 | no | — |
| 1054 | C23 | — | 8 | 1 | no | — |
| 1055 | C23 | — | 8 | 1 | no | — |
| 1056 | C23 | — | 8 | 2 | no | — |
| 1057 | C23 | — | 8 | 2 | no | — |
| 1058 | C23 | — | 8 | 2 | no | — |
| 1059 | C23 | — | 8 | 2 | no | — |
| 1060 | C23 | — | 16 | 1 | no | — |
| 1061 | C23 | — | 16 | 1 | no | — |
| 1062 | C23 | D42 | 1 | 1 | yes | characteristic |
| 1063 | Q8 | — | 2 | 1 | no | — |
| 1064 | Q8 | — | 2 | 1 | no | — |
| 1065 | Q8 | — | 2 | 1 | no | — |
| 1066 | Q8 | — | 4 | 2 | no | — |
| 1067 | Q8 | — | 4 | 2 | no | — |
| 1068 | Q8 | — | 4 | 2 | no | — |
| 1069 | Q8 | — | 4 | 1 | no | — |
| 1070 | Q8 | — | 4 | 1 | no | — |
| 1071 | Q8 | — | 4 | 2 | no | — |
| 1072 | Q8 | — | 4 | 2 | no | — |
| 1073 | Q8 | — | 4 | 1 | no | — |
| 1074 | Q8 | — | 4 | 1 | no | — |
| 1075 | Q8 | — | 8 | 4 | no | — |
| 1076 | Q8 | — | 8 | 2 | no | — |
| 1077 | Q8 | — | 8 | 2 | no | — |
| 1078 | Q8 | — | 8 | 2 | no | — |
| 1079 | Q8 | — | 16 | 1 | no | — |
| 1080 | Q8 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 1081 | D4 | — | 2 | 4 | no | — |
| 1082 | D4 | — | 2 | 1 | no | — |
| 1083 | D4 | — | 2 | 2 | no | — |
| 1084 | D4 | — | 2 | 1 | no | — |
| 1085 | D4 | — | 2 | 1 | no | — |
| 1086 | D4 | — | 2 | 2 | no | — |
| 1087 | D4 | — | 2 | 1 | no | — |
| 1088 | D4 | — | 2 | 1 | no | — |
| 1089 | D4 | — | 2 | 1 | no | — |
| 1090 | D4 | — | 2 | 1 | no | — |
| 1091 | D4 | — | 4 | 2 | no | — |
| 1092 | D4 | — | 4 | 2 | no | — |
| 1093 | D4 | — | 4 | 4 | no | — |
| 1094 | D4 | — | 4 | 1 | no | — |
| 1095 | D4 | — | 4 | 1 | no | — |
| 1096 | D4 | — | 4 | 1 | no | — |
| 1097 | D4 | — | 4 | 1 | no | — |
| 1098 | D4 | — | 4 | 2 | no | — |
| 1099 | D4 | — | 4 | 1 | no | — |
| 1100 | D4 | — | 4 | 1 | no | — |
| 1101 | D4 | — | 4 | 1 | no | — |
| 1102 | D4 | — | 4 | 1 | no | — |
| 1103 | D4 | — | 8 | 1 | no | — |
| 1104 | D4 | — | 8 | 2 | no | — |
| 1105 | D4 | — | 8 | 1 | no | — |
| 1106 | D4 | — | 8 | 1 | no | — |
| 1107 | D4 | — | 8 | 2 | no | — |
| 1108 | D4 | — | 8 | 2 | no | — |
| 1109 | D4 | — | 8 | 2 | no | — |
| 1110 | D4 | — | 8 | 2 | no | — |
| 1111 | D4 | — | 8 | 2 | no | — |
| 1112 | D4 | — | 8 | 2 | no | — |
| 1113 | D4 | — | 8 | 4 | no | — |
| 1114 | D4 | — | 8 | 2 | no | — |
| 1115 | D4 | — | 8 | 2 | no | — |
| 1116 | D4 | — | 8 | 2 | no | — |
| 1117 | D4 | — | 16 | 1 | no | — |
| 1118 | D4 | — | 16 | 1 | no | — |
| 1119 | D4 | — | 16 | 2 | no | — |
| 1120 | D4 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 1121 | C2×C4 | — | 2 | 1 | no | — |
| 1122 | C2×C4 | — | 2 | 1 | no | — |
| 1123 | C2×C4 | — | 2 | 1 | no | — |
| 1124 | C2×C4 | — | 2 | 4 | no | — |
| 1125 | C2×C4 | — | 2 | 1 | no | — |
| 1126 | C2×C4 | — | 2 | 1 | no | — |
| 1127 | C2×C4 | — | 2 | 1 | no | — |
| 1128 | C2×C4 | — | 2 | 1 | no | — |
| 1129 | C2×C4 | — | 2 | 1 | no | — |
| 1130 | C2×C4 | — | 2 | 2 | no | — |
| 1131 | C2×C4 | — | 2 | 1 | no | — |
| 1132 | C2×C4 | — | 2 | 1 | no | — |
| 1133 | C2×C4 | — | 4 | 1 | no | — |
| 1134 | C2×C4 | — | 4 | 2 | no | — |
| 1135 | C2×C4 | — | 4 | 1 | no | — |
| 1136 | C2×C4 | — | 4 | 1 | no | — |
| 1137 | C2×C4 | — | 4 | 1 | no | — |
| 1138 | C2×C4 | — | 4 | 1 | no | — |
| 1139 | C2×C4 | — | 4 | 2 | no | — |
| 1140 | C2×C4 | — | 4 | 2 | no | — |
| 1141 | C2×C4 | — | 4 | 2 | no | — |
| 1142 | C2×C4 | — | 4 | 1 | no | — |
| 1143 | C2×C4 | — | 4 | 1 | no | — |
| 1144 | C2×C4 | — | 4 | 2 | no | — |
| 1145 | C2×C4 | — | 4 | 2 | no | — |
| 1146 | C2×C4 | — | 4 | 1 | no | — |
| 1147 | C2×C4 | — | 4 | 1 | no | — |
| 1148 | C2×C4 | — | 4 | 2 | no | — |
| 1149 | C2×C4 | — | 4 | 1 | no | — |
| 1150 | C2×C4 | — | 4 | 1 | no | — |
| 1151 | C2×C4 | — | 4 | 2 | no | — |
| 1152 | C2×C4 | — | 8 | 1 | no | — |
| 1153 | C2×C4 | — | 8 | 1 | no | — |
| 1154 | C2×C4 | — | 8 | 2 | no | — |
| 1155 | C2×C4 | — | 8 | 2 | no | — |
| 1156 | C2×C4 | — | 8 | 4 | no | — |
| 1157 | C2×C4 | — | 8 | 2 | no | — |
| 1158 | C2×C4 | — | 8 | 2 | no | — |
| 1159 | C2×C4 | — | 8 | 4 | no | — |
| 1160 | C2×C4 | — | 8 | 2 | no | — |
| 1161 | C2×C4 | — | 8 | 2 | no | — |
| 1162 | C2×C4 | — | 8 | 2 | no | — |
| 1163 | C2×C4 | — | 8 | 2 | no | — |
| 1164 | C2×C4 | — | 8 | 2 | no | — |
| 1165 | C2×C4 | — | 16 | 2 | no | — |
| 1166 | C2×C4 | — | 16 | 1 | no | — |
| 1167 | C2×C4 | D42 | 1 | 1 | yes | characteristic |
| 1168 | C2×C4 | D42 | 1 | 1 | yes | characteristic |
| 1169 | C2×C4 | D42 | 1 | 1 | yes | characteristic |
| 1170 | C2×C4 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 1171 | C2×C4 | #576 | 1 | 2 | yes | — |
| 1172 | C2×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 1173 | C2×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 1174 | C2×C4 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 1175 | C8 | — | 2 | 2 | no | — |
| 1176 | C8 | — | 2 | 2 | no | — |
| 1177 | C8 | — | 2 | 1 | no | — |
| 1178 | C8 | — | 2 | 1 | no | — |
| 1179 | C8 | — | 2 | 1 | no | — |
| 1180 | C8 | — | 2 | 1 | no | — |
| 1181 | C8 | — | 4 | 2 | no | — |
| 1182 | C8 | — | 4 | 2 | no | — |
| 1183 | C8 | — | 4 | 2 | no | — |
| 1184 | C8 | — | 4 | 1 | no | — |
| 1185 | C8 | — | 4 | 1 | no | — |
| 1186 | C8 | — | 4 | 2 | no | — |
| 1187 | C22 | — | 2 | 1 | no | — |
| 1188 | C22 | — | 2 | 1 | no | — |
| 1189 | C22 | — | 2 | 2 | no | — |
| 1190 | C22 | — | 4 | 1 | no | — |
| 1191 | C22 | — | 4 | 1 | no | — |
| 1192 | C22 | — | 4 | 1 | no | — |
| 1193 | C22 | — | 4 | 1 | no | — |
| 1194 | C22 | — | 4 | 1 | no | — |
| 1195 | C22 | — | 4 | 2 | no | — |
| 1196 | C22 | — | 4 | 1 | no | — |
| 1197 | C22 | — | 4 | 2 | no | — |
| 1198 | C22 | — | 4 | 1 | no | — |
| 1199 | C22 | — | 4 | 1 | no | — |
| 1200 | C22 | — | 4 | 1 | no | — |
| 1201 | C22 | — | 4 | 2 | no | — |
| 1202 | C22 | — | 4 | 1 | no | — |
| 1203 | C22 | — | 4 | 1 | no | — |
| 1204 | C22 | — | 8 | 1 | no | — |
| 1205 | C22 | — | 8 | 1 | no | — |
| 1206 | C22 | — | 8 | 1 | no | — |
| 1207 | C22 | — | 8 | 1 | no | — |
| 1208 | C22 | — | 8 | 1 | no | — |
| 1209 | C22 | — | 8 | 1 | no | — |
| 1210 | C22 | — | 16 | 2 | no | — |
| 1211 | C22 | — | 16 | 4 | no | — |
| 1212 | C22 | — | 16 | 4 | no | — |
| 1213 | C22 | #3264 | 1 | 2 | yes | — |
| 1214 | C22 | C2×D42 | 1 | 1 | yes | characteristic |
| 1215 | C4 | — | 2 | 2 | no | — |
| 1216 | C4 | — | 2 | 1 | no | — |
| 1217 | C4 | — | 2 | 1 | no | — |
| 1218 | C4 | — | 2 | 1 | no | — |
| 1219 | C4 | — | 4 | 1 | no | — |
| 1220 | C4 | — | 4 | 1 | no | — |
| 1221 | C4 | — | 4 | 1 | no | — |
| 1222 | C4 | — | 4 | 2 | no | — |
| 1223 | C4 | — | 4 | 1 | no | — |
| 1224 | C4 | — | 4 | 1 | no | — |
| 1225 | C4 | — | 4 | 1 | no | — |
| 1226 | C4 | — | 4 | 1 | no | — |
| 1227 | C4 | — | 8 | 1 | no | — |
| 1228 | C4 | — | 8 | 1 | no | — |
| 1229 | C4 | — | 8 | 2 | no | — |
| 1230 | C4 | — | 8 | 2 | no | — |
| 1231 | C4 | #3264 | 1 | 2 | yes | — |
| 1232 | C4 | C22×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 1233 | C4 | C2×#576 | 1 | 1 | yes | characteristic |
| 1234 | C4 | #3585 | 1 | 1 | yes | characteristic |
| 1235 | C4 | #3586 | 1 | 1 | yes | characteristic |
| 1236 | C2 | — | 2 | 2 | no | — |
| 1237 | C2 | — | 4 | 2 | no | — |
| 1238 | C2 | — | 8 | 2 | no | — |
| 1239 | C2 | — | 8 | 1 | no | — |
| 1240 | C2 | — | 8 | 1 | no | — |
| 1241 | C2 | — | 8 | 1 | no | — |
| 1242 | C2 | — | 16 | 1 | no | — |
| 1243 | C2 | — | 16 | 1 | no | — |
| 1244 | C2 | C2×#3264 | 1 | 1 | yes | characteristic |
| 1245 | C2 | #61062 | 1 | 1 | yes | characteristic |
| 1246 | C2 | #61108 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, socle | C22 | C2×D42 |
| commutator, Frattini, cosocle | C42 | C25 |
| LCS | G ▷ C42 ▷ C22 ▷ C1 | |
| UCS | C1 ◁ C22 ◁ C2×C42 ◁ G | |
| LECS | G ▷ C42 ▷ C22 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #62095 | C2 | semidirect |
| 2. #61962 | C2 | semidirect |
| 3. #61217 | C2 | semidirect |
| 4. #61038 | C2 | semidirect |
| 5. #20169 | C2 | semidirect |
| 6. #20168 | C2 | semidirect |
| 7. #20163 | C2 | semidirect |
| 8. #20162 | C2 | semidirect |
| 9. #20031 | C2 | semidirect |
| 10. #20030 | C2 | semidirect |
| 11. #20029 | C2 | semidirect |
| 12. #20028 | C2 | semidirect |
| 13. #19700 | C2 | semidirect |
| 14. #19452 | C2 | semidirect |
| 15. #19408 | C2 | semidirect |
| 16. #19190 | C2 | semidirect |
| 17. C2×#1699 | C2 | semidirect |
| 18. #18888 | C2 | semidirect |
| 19. #18882 | C2 | semidirect |
| 20. #18799 | C2 | semidirect |
| 21. #18798 | C2 | semidirect |
| 22. #17935 | C2 | semidirect |
| 23. #17881 | C2 | semidirect |
| 25. #3511 | C22 | semidirect |
| 26. #3499 | C22 | semidirect |
| 30. Q8×D8 | C22 | semidirect |
| 31. #3367 | C22 | semidirect |
| 37. #3330 | C22 | semidirect |
| 39. #3328 | C22 | semidirect |
| 42. #3302 | C22 | semidirect |
| 44. #3298 | C22 | semidirect |
| 46. #3294 | C22 | semidirect |
| 59. #3272 | C22 | semidirect |
| 63. #3245 | C22 | semidirect |
| 64. #3245 | C22 | semidirect |
| 65. #3227 | C22 | semidirect |
| 67. #3226 | C22 | semidirect |
| 68. #3226 | C22 | semidirect |
| 70. #3206 | C22 | semidirect |
| 72. C2×#487 | C22 | semidirect |
| 77. #3079 | C22 | semidirect |
| 82. #3039 | C22 | semidirect |
| 90. #2989 | C22 | semidirect |
| 91. #2988 | C22 | semidirect |
| 93. #2931 | C22 | semidirect |
| 96. #1723 | C22 | semidirect |
| 97. #1719 | C22 | semidirect |
| 98. #1717 | C22 | semidirect |
| 99. #1714 | C22 | semidirect |
| 100. #1702 | C22 | semidirect |
| 101. #1701 | C22 | semidirect |
| 102. #1699 | C22 | semidirect |
| 103. #1699 | C22 | semidirect |
| 104. #1699 | C22 | semidirect |
| 105. #1699 | C22 | semidirect |
| 106. #1694 | C22 | semidirect |
| 107. #1693 | C22 | semidirect |
| 108. #1685 | C22 | semidirect |
| 109. #1685 | C22 | semidirect |
| 110. #1680 | C22 | semidirect |
| 111. #1679 | C22 | semidirect |
| 112. #1669 | C22 | semidirect |
| 113. #1667 | C22 | semidirect |
| 114. #1666 | C22 | semidirect |
| 115. #1665 | C22 | semidirect |
| 117. #1654 | C22 | semidirect |
| 118. #1652 | C22 | semidirect |
| 119. #1651 | C22 | semidirect |
| 120. #1649 | C22 | semidirect |
| 121. #1649 | C22 | semidirect |
| 123. #1647 | C22 | semidirect |
| 126. #1639 | C22 | semidirect |
| 127. #1639 | C22 | semidirect |
| 128. #1628 | C22 | semidirect |
| 129. #1627 | C22 | semidirect |
| 130. #1625 | C22 | semidirect |
| 131. #1625 | C22 | semidirect |
| 132. #1594 | C22 | semidirect |
| 133. #1594 | C22 | semidirect |
| 134. #1588 | C22 | semidirect |
| 135. #1586 | C22 | semidirect |
| 136. #1586 | C22 | semidirect |
| 137. #1585 | C22 | semidirect |
| 138. #1584 | C22 | semidirect |
| 139. #1581 | C22 | semidirect |
| 140. #1570 | C22 | semidirect |
| 141. C2×#335 | C22 | semidirect |
| 142. #1547 | C22 | semidirect |
| 143. #1547 | C22 | semidirect |
| 144. C2×#332 | C22 | semidirect |
| 145. C2×#332 | C22 | semidirect |
| 147. #1480 | C22 | semidirect |
| 148. #1477 | C22 | semidirect |
| 149. #1477 | C22 | semidirect |
| 150. #1452 | C22 | semidirect |
| 818. #41 | AGL(1,ℤ/8) | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #62095 | 2 |
| #61962 | 2 |
| #61217 | 2 |
| #61038 | 2 |
| #20169 | 2 |
| #20168 | 2 |
| #20163 | 2 |
| #20162 | 2 |
| #20031 | 2 |
| #20030 | 2 |
| #20029 | 2 |
| #20028 | 2 |
| #19700 | 2 |
| #19452 | 2 |
| #19408 | 2 |
| #19190 | 2 |
| C2×#1699 | 2 |
| #18888 | 2 |
| #18882 | 2 |
| #18799 | 2 |
| #18798 | 2 |
| #17935 | 2 |
| #17881 | 2 |