Finite Group DatabasebetaFinite Group DatabasebetaOrder 512.
2623 conjugacy classes of subgroups.
The subgroup lattice has 1375 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #61171 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #60584 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #60374 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×#2898 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #32996 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #32942 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #32889 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #28346 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #28135 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #27291 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #25987 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #25193 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | #25185 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | #24931 | C2 | 1 | 2 | yes | maximal, complemented |
| 15 | #24570 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #24523 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 17 | #24460 | C2 | 1 | 2 | yes | maximal, complemented |
| 18 | #24026 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 19 | #23955 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 20 | #22893 | C2 | 1 | 2 | yes | maximal, complemented |
| 21 | #22586 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 22 | #22464 | C2 | 1 | 2 | yes | maximal, complemented |
| 23 | #21467 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 24 | C22×2−1+4 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×#577 | C22 | 1 | 2 | yes | — |
| 26 | C22×#131 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | #3494 | C22 | 1 | 1 | yes | characteristic |
| 28 | #3488 | C22 | 1 | 1 | yes | characteristic |
| 29 | C2×#520 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | #3319 | — | 2 | 1 | no | — |
| 31 | #3318 | — | 2 | 1 | no | — |
| 32 | #3309 | — | 2 | 1 | no | — |
| 33 | #3308 | — | 2 | 1 | no | — |
| 34 | #3305 | — | 2 | 1 | no | — |
| 35 | #3301 | — | 2 | 1 | no | — |
| 36 | #3297 | — | 2 | 1 | no | — |
| 37 | #3294 | — | 2 | 1 | no | — |
| 38 | #3136 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | #3124 | — | 2 | 2 | no | — |
| 40 | #3119 | — | 2 | 2 | no | — |
| 41 | #3114 | — | 2 | 1 | no | — |
| 42 | #3112 | — | 2 | 1 | no | — |
| 43 | #3108 | — | 2 | 1 | no | — |
| 44 | #3100 | — | 2 | 1 | no | — |
| 45 | #3098 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | #3094 | C22 | 1 | 1 | yes | characteristic |
| 47 | #3092 | C22 | 1 | 1 | yes | characteristic |
| 48 | C2×#480 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | #3083 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | #3083 | C22 | 1 | 2 | yes | complemented |
| 51 | C2×#472 | C22 | 1 | 2 | yes | complemented |
| 52 | #3062 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | C2×#466 | C22 | 1 | 1 | yes | characteristic |
| 54 | #3045 | C22 | 1 | 2 | yes | complemented |
| 55 | #3041 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | C2×#454 | C22 | 1 | 2 | yes | — |
| 57 | C2×#454 | C22 | 1 | 2 | yes | complemented |
| 58 | #3013 | — | 2 | 2 | no | — |
| 59 | #3013 | C22 | 1 | 2 | yes | — |
| 60 | #3010 | — | 2 | 2 | no | — |
| 61 | #3010 | C22 | 1 | 2 | yes | — |
| 62 | #3008 | C22 | 1 | 1 | yes | characteristic, complemented |
| 63 | #3006 | — | 2 | 1 | no | — |
| 64 | #3006 | C22 | 1 | 1 | yes | characteristic |
| 65 | #3006 | C22 | 1 | 1 | yes | characteristic |
| 66 | #3006 | C22 | 1 | 1 | yes | characteristic, complemented |
| 67 | #3004 | — | 2 | 1 | no | — |
| 68 | #3004 | C22 | 1 | 1 | yes | characteristic |
| 69 | #3002 | — | 2 | 1 | no | — |
| 70 | #3002 | C22 | 1 | 1 | yes | characteristic |
| 71 | C2×#448 | — | 2 | 1 | no | — |
| 72 | C2×#448 | C22 | 1 | 1 | yes | characteristic |
| 73 | C2×#444 | C22 | 1 | 2 | yes | complemented |
| 74 | #2951 | C22 | 1 | 2 | yes | complemented |
| 75 | #2946 | C22 | 1 | 2 | yes | complemented |
| 76 | #2946 | C22 | 1 | 1 | yes | characteristic, complemented |
| 77 | #2929 | C22 | 1 | 1 | yes | characteristic |
| 78 | #2924 | C22 | 1 | 1 | yes | characteristic, complemented |
| 79 | #2898 | — | 2 | 1 | no | — |
| 80 | #2898 | — | 2 | 1 | no | — |
| 81 | #2898 | — | 2 | 1 | no | — |
| 82 | #2898 | — | 2 | 1 | no | — |
| 83 | #2898 | C22 | 1 | 2 | yes | — |
| 84 | #2898 | C22 | 1 | 2 | yes | — |
| 85 | #2898 | C22 | 1 | 2 | yes | — |
| 86 | #2898 | C22 | 1 | 2 | yes | complemented |
| 87 | #2898 | C22 | 1 | 2 | yes | complemented |
| 88 | #2897 | C22 | 1 | 1 | yes | characteristic, complemented |
| 89 | C2×#417 | — | 2 | 1 | no | — |
| 90 | C2×#417 | C22 | 1 | 1 | yes | characteristic |
| 91 | C2×#419 | — | 2 | 1 | no | — |
| 92 | C2×#419 | C22 | 1 | 1 | yes | characteristic, complemented |
| 93 | C2×#416 | — | 2 | 1 | no | — |
| 94 | C2×#416 | C22 | 1 | 1 | yes | characteristic |
| 95 | C22×#103 | — | 2 | 1 | no | — |
| 96 | C22×#103 | C22 | 1 | 1 | yes | characteristic, complemented |
| 97 | #2880 | C22 | 1 | 1 | yes | characteristic |
| 98 | #2501 | C22 | 1 | 1 | yes | characteristic |
| 99 | #2436 | C22 | 1 | 1 | yes | characteristic, complemented |
| 100 | #2095 | C22 | 1 | 2 | yes | complemented |
| 101 | #2078 | C22 | 1 | 2 | yes | complemented |
| 102 | #2064 | C22 | 1 | 2 | yes | complemented |
| 103 | #2064 | C22 | 1 | 2 | yes | complemented |
| 104 | #2052 | C22 | 1 | 2 | yes | complemented |
| 105 | #2051 | C22 | 1 | 2 | yes | complemented |
| 106 | #2046 | C22 | 1 | 2 | yes | complemented |
| 107 | #2039 | C22 | 1 | 2 | yes | complemented |
| 108 | #2037 | C22 | 1 | 2 | yes | complemented |
| 109 | #2028 | C22 | 1 | 2 | yes | complemented |
| 110 | #2012 | C22 | 1 | 2 | yes | complemented |
| 111 | #2004 | C22 | 1 | 2 | yes | complemented |
| 112 | #1977 | C22 | 1 | 2 | yes | complemented |
| 113 | #1973 | C22 | 1 | 2 | yes | complemented |
| 114 | #1959 | C22 | 1 | 2 | yes | complemented |
| 115 | #1938 | C22 | 1 | 2 | yes | complemented |
| 116 | #1930 | C22 | 1 | 2 | yes | complemented |
| 117 | #1930 | C22 | 1 | 2 | yes | complemented |
| 118 | #1929 | C22 | 1 | 2 | yes | complemented |
| 119 | #1908 | C22 | 1 | 2 | yes | complemented |
| 120 | #1907 | C22 | 1 | 2 | yes | complemented |
| 121 | #1907 | C22 | 1 | 2 | yes | complemented |
| 122 | #1907 | C22 | 1 | 2 | yes | complemented |
| 123 | #1900 | C22 | 1 | 1 | yes | characteristic |
| 124 | #1900 | C22 | 1 | 1 | yes | characteristic, complemented |
| 125 | #1885 | C22 | 1 | 2 | yes | complemented |
| 126 | #1883 | C22 | 1 | 2 | yes | complemented |
| 127 | #1883 | C22 | 1 | 2 | yes | complemented |
| 128 | #1882 | C22 | 1 | 2 | yes | complemented |
| 129 | #1876 | C22 | 1 | 2 | yes | complemented |
| 130 | #1871 | C22 | 1 | 1 | yes | characteristic |
| 131 | #1866 | C22 | 1 | 2 | yes | complemented |
| 132 | #1866 | C22 | 1 | 2 | yes | complemented |
| 133 | #1859 | C22 | 1 | 2 | yes | complemented |
| 134 | #1859 | C22 | 1 | 2 | yes | complemented |
| 135 | #1859 | C22 | 1 | 2 | yes | complemented |
| 136 | #1855 | C22 | 1 | 1 | yes | characteristic, complemented |
| 137 | #1826 | C22 | 1 | 1 | yes | characteristic, complemented |
| 138 | #1821 | C22 | 1 | 1 | yes | characteristic, complemented |
| 139 | #1816 | C22 | 1 | 2 | yes | complemented |
| 140 | #1816 | C22 | 1 | 2 | yes | complemented |
| 141 | #1810 | C22 | 1 | 1 | yes | characteristic, complemented |
| 142 | #1793 | C22 | 1 | 2 | yes | — |
| 143 | #1793 | C22 | 1 | 2 | yes | complemented |
| 144 | #1792 | C22 | 1 | 2 | yes | complemented |
| 145 | #1789 | C22 | 1 | 1 | yes | characteristic |
| 146 | #1789 | C22 | 1 | 1 | yes | characteristic, complemented |
| 147 | #1784 | C22 | 1 | 1 | yes | characteristic, complemented |
| 148 | #1765 | C22 | 1 | 2 | yes | complemented |
| 149 | #1765 | C22 | 1 | 2 | yes | complemented |
| 150 | #1752 | C22 | 1 | 1 | yes | characteristic, complemented |
| 151 | C2×2−1+4 | — | 2 | 8 | no | — |
| 152 | C2×2−1+4 | — | 2 | 1 | no | — |
| 153 | C2×2−1+4 | — | 2 | 1 | no | — |
| 154 | C2×2−1+4 | — | 2 | 2 | no | — |
| 155 | C2×2−1+4 | — | 4 | 1 | no | — |
| 156 | C2×2−1+4 | — | 4 | 4 | no | — |
| 157 | C2×2−1+4 | C23 | 1 | 2 | yes | — |
| 158 | C2×2−1+4 | C23 | 1 | 2 | yes | — |
| 159 | C2×H(5,𝔽2) | C23 | 1 | 1 | yes | characteristic |
| 160 | C22×#41 | — | 2 | 1 | no | — |
| 161 | C22×#41 | — | 2 | 1 | no | — |
| 162 | C22×#41 | — | 4 | 1 | no | — |
| 163 | C22×#41 | C23 | 1 | 1 | yes | characteristic |
| 164 | C22×#41 | C23 | 1 | 1 | yes | characteristic |
| 165 | C23×Q8 | — | 2 | 1 | no | — |
| 166 | C23×Q8 | — | 2 | 1 | no | — |
| 167 | C23×Q8 | C23 | 1 | 1 | yes | characteristic |
| 168 | #577 | — | 2 | 8 | no | — |
| 169 | #577 | — | 4 | 4 | no | — |
| 170 | C2×#137 | — | 2 | 2 | no | — |
| 171 | C2×#137 | C23 | 1 | 2 | yes | — |
| 172 | C2×AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 173 | C2×AGL(1,ℤ/8) | C23 | 1 | 2 | yes | — |
| 174 | C2×AGL(1,ℤ/8) | C23 | 1 | 1 | yes | characteristic |
| 175 | C2×AGL(1,ℤ/8) | C23 | 1 | 2 | yes | — |
| 176 | C2×AGL(1,ℤ/8) | C23 | 1 | 1 | yes | characteristic |
| 177 | C2×#135 | — | 2 | 2 | no | — |
| 178 | C2×#135 | C23 | 1 | 2 | yes | — |
| 179 | C22×SD16 | — | 2 | 2 | no | — |
| 180 | C22×SD16 | C23 | 1 | 2 | yes | — |
| 181 | C22×D8 | C23 | 1 | 1 | yes | characteristic |
| 182 | C2×#131 | — | 2 | 1 | no | — |
| 183 | C2×#131 | — | 2 | 1 | no | — |
| 184 | C2×#131 | — | 4 | 4 | no | — |
| 185 | C2×#131 | C23 | 1 | 2 | yes | — |
| 186 | C2×#131 | C23 | 1 | 2 | yes | — |
| 187 | C2×#131 | C23 | 1 | 2 | yes | — |
| 188 | C2×#131 | C23 | 1 | 1 | yes | characteristic |
| 189 | C22×M16 | — | 2 | 1 | no | — |
| 190 | C22×M16 | C23 | 1 | 1 | yes | characteristic |
| 191 | C23×C8 | — | 2 | 1 | no | — |
| 192 | C23×C8 | C23 | 1 | 1 | yes | characteristic |
| 193 | #555 | — | 2 | 1 | no | — |
| 194 | #553 | — | 2 | 1 | no | — |
| 195 | #553 | — | 2 | 1 | no | — |
| 196 | #551 | — | 4 | 1 | no | — |
| 197 | #550 | — | 2 | 1 | no | — |
| 198 | #548 | — | 2 | 1 | no | — |
| 199 | #547 | — | 2 | 1 | no | — |
| 200 | #546 | — | 2 | 1 | no | — |
| 201 | #546 | — | 4 | 1 | no | — |
| 202 | #546 | — | 4 | 1 | no | — |
| 203 | D42 | — | 2 | 1 | no | — |
| 204 | D42 | — | 4 | 1 | no | — |
| 205 | #544 | C23 | 1 | 1 | yes | characteristic |
| 206 | #542 | — | 2 | 1 | no | — |
| 207 | #540 | — | 2 | 1 | no | — |
| 208 | #537 | — | 2 | 1 | no | — |
| 209 | #537 | C23 | 1 | 1 | yes | characteristic |
| 210 | #535 | — | 2 | 1 | no | — |
| 211 | #535 | C23 | 1 | 1 | yes | characteristic |
| 212 | #535 | C23 | 1 | 1 | yes | characteristic |
| 213 | #532 | — | 2 | 1 | no | — |
| 214 | #529 | — | 2 | 1 | no | — |
| 215 | C2×#124 | C23 | 1 | 2 | yes | — |
| 216 | #525 | — | 2 | 1 | no | — |
| 217 | #525 | C23 | 1 | 1 | yes | characteristic |
| 218 | C2×#123 | — | 4 | 1 | no | — |
| 219 | C2×#121 | — | 2 | 1 | no | — |
| 220 | C2×#121 | C23 | 1 | 1 | yes | characteristic |
| 221 | C2×#121 | C23 | 1 | 1 | yes | characteristic |
| 222 | #520 | — | 2 | 1 | no | — |
| 223 | #520 | — | 2 | 1 | no | — |
| 224 | #520 | — | 2 | 2 | no | — |
| 225 | #520 | — | 4 | 1 | no | — |
| 226 | #520 | C23 | 1 | 1 | yes | characteristic |
| 227 | #520 | C23 | 1 | 2 | yes | — |
| 228 | #520 | C23 | 1 | 1 | yes | characteristic |
| 229 | #520 | C23 | 1 | 2 | yes | — |
| 230 | #518 | C23 | 1 | 1 | yes | characteristic |
| 231 | C2×C4×Q8 | — | 2 | 1 | no | — |
| 232 | C2×C4×D4 | — | 2 | 1 | no | — |
| 233 | C2×C4×D4 | — | 4 | 1 | no | — |
| 234 | C2×#117 | — | 2 | 1 | no | — |
| 235 | C2×#117 | C23 | 1 | 1 | yes | characteristic |
| 236 | C22×C4⋊C4 | — | 2 | 1 | no | — |
| 237 | C22×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 238 | #490 | — | 2 | 1 | no | — |
| 239 | #489 | — | 2 | 1 | no | — |
| 240 | #488 | — | 2 | 1 | no | — |
| 241 | #486 | — | 2 | 1 | no | — |
| 242 | #485 | — | 2 | 1 | no | — |
| 243 | #484 | — | 2 | 1 | no | — |
| 244 | #484 | — | 2 | 1 | no | — |
| 245 | #483 | — | 2 | 1 | no | — |
| 246 | #482 | — | 2 | 1 | no | — |
| 247 | #482 | — | 2 | 1 | no | — |
| 248 | #482 | — | 2 | 1 | no | — |
| 249 | #481 | — | 2 | 1 | no | — |
| 250 | #481 | — | 2 | 1 | no | — |
| 251 | #480 | — | 2 | 1 | no | — |
| 252 | #480 | — | 2 | 1 | no | — |
| 253 | #480 | — | 2 | 1 | no | — |
| 254 | #480 | — | 2 | 1 | no | — |
| 255 | #480 | — | 2 | 1 | no | — |
| 256 | #480 | — | 2 | 2 | no | — |
| 257 | #479 | — | 2 | 2 | no | — |
| 258 | #479 | — | 2 | 1 | no | — |
| 259 | #478 | — | 2 | 2 | no | — |
| 260 | #478 | — | 2 | 1 | no | — |
| 261 | #477 | — | 2 | 2 | no | — |
| 262 | #477 | — | 2 | 1 | no | — |
| 263 | #474 | — | 2 | 2 | no | — |
| 264 | #474 | — | 2 | 1 | no | — |
| 265 | #472 | — | 4 | 4 | no | — |
| 266 | #469 | — | 2 | 1 | no | — |
| 267 | #468 | — | 2 | 1 | no | — |
| 268 | #466 | — | 2 | 1 | no | — |
| 269 | #466 | — | 2 | 1 | no | — |
| 270 | #466 | — | 2 | 1 | no | — |
| 271 | #466 | — | 2 | 1 | no | — |
| 272 | #466 | — | 2 | 1 | no | — |
| 273 | #465 | — | 2 | 1 | no | — |
| 274 | #464 | — | 2 | 2 | no | — |
| 275 | #463 | — | 2 | 2 | no | — |
| 276 | #463 | — | 2 | 1 | no | — |
| 277 | #463 | — | 2 | 1 | no | — |
| 278 | #460 | — | 2 | 2 | no | — |
| 279 | #459 | — | 2 | 2 | no | — |
| 280 | #459 | — | 2 | 1 | no | — |
| 281 | #459 | — | 2 | 1 | no | — |
| 282 | #454 | — | 2 | 8 | no | — |
| 283 | #454 | — | 4 | 4 | no | — |
| 284 | #452 | — | 2 | 2 | no | — |
| 285 | #452 | D4 | 1 | 2 | yes | — |
| 286 | #451 | — | 2 | 2 | no | — |
| 287 | #451 | — | 2 | 1 | no | — |
| 288 | #451 | — | 2 | 1 | no | — |
| 289 | #451 | D4 | 1 | 1 | yes | characteristic |
| 290 | #450 | D4 | 1 | 1 | yes | characteristic |
| 291 | #449 | — | 2 | 2 | no | — |
| 292 | #449 | — | 2 | 2 | no | — |
| 293 | #449 | — | 2 | 1 | no | — |
| 294 | #449 | — | 2 | 1 | no | — |
| 295 | #449 | — | 2 | 2 | no | — |
| 296 | #449 | — | 2 | 1 | no | — |
| 297 | #449 | — | 2 | 1 | no | — |
| 298 | #449 | — | 2 | 2 | no | — |
| 299 | #449 | — | 2 | 2 | no | — |
| 300 | #449 | D4 | 1 | 2 | yes | — |
| 301 | #448 | — | 2 | 1 | no | — |
| 302 | #448 | — | 2 | 1 | no | — |
| 303 | #448 | — | 2 | 1 | no | — |
| 304 | #448 | — | 2 | 2 | no | — |
| 305 | #448 | — | 2 | 1 | no | — |
| 306 | #448 | — | 2 | 1 | no | — |
| 307 | #448 | — | 2 | 2 | no | — |
| 308 | #448 | — | 2 | 2 | no | — |
| 309 | #448 | — | 2 | 1 | no | — |
| 310 | #448 | — | 2 | 1 | no | — |
| 311 | #448 | — | 2 | 2 | no | — |
| 312 | #448 | D4 | 1 | 1 | yes | characteristic |
| 313 | #447 | — | 2 | 1 | no | — |
| 314 | #447 | — | 2 | 1 | no | — |
| 315 | #447 | — | 2 | 1 | no | — |
| 316 | #447 | — | 2 | 1 | no | — |
| 317 | #447 | — | 2 | 1 | no | — |
| 318 | #447 | D4 | 1 | 1 | yes | characteristic |
| 319 | #444 | — | 4 | 4 | no | — |
| 320 | #442 | — | 2 | 2 | no | — |
| 321 | #442 | — | 2 | 1 | no | — |
| 322 | #440 | — | 2 | 2 | no | — |
| 323 | #440 | — | 2 | 2 | no | — |
| 324 | #440 | — | 2 | 2 | no | — |
| 325 | #440 | — | 2 | 1 | no | — |
| 326 | C4×Q16 | — | 2 | 2 | no | — |
| 327 | C4×SD16 | — | 2 | 2 | no | — |
| 328 | C4×SD16 | — | 2 | 1 | no | — |
| 329 | C4×D8 | — | 2 | 2 | no | — |
| 330 | C4×D8 | — | 2 | 2 | no | — |
| 331 | C4×D8 | — | 2 | 1 | no | — |
| 332 | #435 | — | 2 | 1 | no | — |
| 333 | #435 | — | 2 | 1 | no | — |
| 334 | C8×D4 | — | 2 | 1 | no | — |
| 335 | C8×D4 | — | 2 | 1 | no | — |
| 336 | #433 | — | 2 | 2 | no | — |
| 337 | #432 | — | 2 | 1 | no | — |
| 338 | #431 | — | 2 | 1 | no | — |
| 339 | C2×#108 | C23 | 1 | 2 | yes | — |
| 340 | C2×#108 | C23 | 1 | 2 | yes | — |
| 341 | #428 | C23 | 1 | 1 | yes | characteristic |
| 342 | #428 | C23 | 1 | 2 | yes | — |
| 343 | #428 | C23 | 1 | 1 | yes | characteristic |
| 344 | C2×#107 | C23 | 1 | 2 | yes | — |
| 345 | C2×#107 | C23 | 1 | 1 | yes | characteristic |
| 346 | #424 | C23 | 1 | 1 | yes | characteristic |
| 347 | #424 | C23 | 1 | 2 | yes | — |
| 348 | C2×#104 | C23 | 1 | 2 | yes | — |
| 349 | C2×#104 | C23 | 1 | 2 | yes | — |
| 350 | C2×#104 | C23 | 1 | 2 | yes | — |
| 351 | C2×#104 | C23 | 1 | 2 | yes | — |
| 352 | C2×#104 | C23 | 1 | 2 | yes | — |
| 353 | #419 | — | 2 | 1 | no | — |
| 354 | #419 | — | 2 | 1 | no | — |
| 355 | #419 | — | 2 | 2 | no | — |
| 356 | #419 | — | 2 | 2 | no | — |
| 357 | #419 | — | 2 | 2 | no | — |
| 358 | #419 | — | 2 | 2 | no | — |
| 359 | #419 | — | 2 | 2 | no | — |
| 360 | #419 | C23 | 1 | 2 | yes | — |
| 361 | #419 | C23 | 1 | 2 | yes | — |
| 362 | #419 | C23 | 1 | 2 | yes | — |
| 363 | #418 | — | 2 | 1 | no | — |
| 364 | #418 | C23 | 1 | 1 | yes | characteristic |
| 365 | #418 | C23 | 1 | 1 | yes | characteristic |
| 366 | #417 | — | 2 | 1 | no | — |
| 367 | #417 | — | 2 | 1 | no | — |
| 368 | #417 | — | 2 | 1 | no | — |
| 369 | #417 | — | 2 | 2 | no | — |
| 370 | #417 | — | 2 | 2 | no | — |
| 371 | #417 | — | 2 | 2 | no | — |
| 372 | #417 | — | 2 | 2 | no | — |
| 373 | #417 | — | 2 | 2 | no | — |
| 374 | #417 | C23 | 1 | 2 | yes | — |
| 375 | #417 | C23 | 1 | 2 | yes | — |
| 376 | #417 | C23 | 1 | 1 | yes | characteristic |
| 377 | #417 | C23 | 1 | 2 | yes | — |
| 378 | #417 | C23 | 1 | 1 | yes | characteristic |
| 379 | #417 | C23 | 1 | 2 | yes | — |
| 380 | #417 | C23 | 1 | 2 | yes | — |
| 381 | #416 | — | 2 | 1 | no | — |
| 382 | #416 | — | 2 | 2 | no | — |
| 383 | #416 | — | 2 | 2 | no | — |
| 384 | #416 | — | 2 | 2 | no | — |
| 385 | #416 | — | 2 | 2 | no | — |
| 386 | #416 | — | 2 | 2 | no | — |
| 387 | #416 | D4 | 1 | 1 | yes | characteristic |
| 388 | #416 | D4 | 1 | 1 | yes | characteristic |
| 389 | #416 | D4 | 1 | 1 | yes | characteristic |
| 390 | #416 | D4 | 1 | 1 | yes | characteristic |
| 391 | #416 | C23 | 1 | 1 | yes | characteristic |
| 392 | #416 | C23 | 1 | 2 | yes | — |
| 393 | #416 | C23 | 1 | 1 | yes | characteristic |
| 394 | #416 | C23 | 1 | 1 | yes | characteristic |
| 395 | #416 | C23 | 1 | 1 | yes | characteristic |
| 396 | C2×#103 | — | 2 | 1 | no | — |
| 397 | C2×#103 | — | 2 | 1 | no | — |
| 398 | C2×#103 | — | 2 | 1 | no | — |
| 399 | C2×#103 | — | 2 | 1 | no | — |
| 400 | C2×#103 | — | 2 | 1 | no | — |
| 401 | C2×#103 | — | 2 | 1 | no | — |
| 402 | C2×#103 | — | 2 | 1 | no | — |
| 403 | C2×#103 | — | 2 | 2 | no | — |
| 404 | C2×#103 | — | 2 | 2 | no | — |
| 405 | C2×#103 | — | 2 | 2 | no | — |
| 406 | C2×#103 | — | 2 | 2 | no | — |
| 407 | C2×#103 | — | 2 | 2 | no | — |
| 408 | C2×#103 | D4 | 1 | 1 | yes | characteristic |
| 409 | C2×#103 | D4 | 1 | 1 | yes | characteristic |
| 410 | C2×#103 | C23 | 1 | 2 | yes | — |
| 411 | C2×#103 | C23 | 1 | 2 | yes | — |
| 412 | C2×#103 | C23 | 1 | 2 | yes | — |
| 413 | C2×#102 | — | 2 | 1 | no | — |
| 414 | C2×#102 | — | 2 | 1 | no | — |
| 415 | C2×#102 | D4 | 1 | 1 | yes | characteristic |
| 416 | C2×#102 | D4 | 1 | 1 | yes | characteristic |
| 417 | C2×#102 | C23 | 1 | 2 | yes | — |
| 418 | C2×#102 | C23 | 1 | 1 | yes | characteristic |
| 419 | C2×#102 | C23 | 1 | 1 | yes | characteristic |
| 420 | C2×#101 | C23 | 1 | 2 | yes | — |
| 421 | C2×#101 | C23 | 1 | 2 | yes | — |
| 422 | C2×#100 | C23 | 1 | 2 | yes | — |
| 423 | C2×#100 | C23 | 1 | 2 | yes | — |
| 424 | #408 | — | 2 | 2 | no | — |
| 425 | #408 | C23 | 1 | 2 | yes | — |
| 426 | #408 | C23 | 1 | 1 | yes | characteristic |
| 427 | #407 | — | 2 | 1 | no | — |
| 428 | #407 | C23 | 1 | 1 | yes | characteristic |
| 429 | #407 | C23 | 1 | 1 | yes | characteristic |
| 430 | #407 | C23 | 1 | 1 | yes | characteristic |
| 431 | C2×C22⋊C8 | — | 2 | 1 | no | — |
| 432 | C2×C22⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 433 | #405 | C23 | 1 | 1 | yes | characteristic |
| 434 | #405 | C23 | 1 | 2 | yes | — |
| 435 | C2×#97 | C23 | 1 | 2 | yes | — |
| 436 | #399 | — | 4 | 1 | no | — |
| 437 | #393 | — | 4 | 1 | no | — |
| 438 | #391 | C23 | 1 | 2 | yes | — |
| 439 | #390 | C23 | 1 | 2 | yes | — |
| 440 | #386 | — | 4 | 1 | no | — |
| 441 | #384 | C23 | 1 | 2 | yes | — |
| 442 | C4×C22⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 443 | #343 | C23 | 1 | 2 | yes | — |
| 444 | #343 | C23 | 1 | 2 | yes | — |
| 445 | #343 | C23 | 1 | 2 | yes | — |
| 446 | #343 | C23 | 1 | 2 | yes | — |
| 447 | #341 | C23 | 1 | 2 | yes | — |
| 448 | #341 | C23 | 1 | 2 | yes | — |
| 449 | #339 | C23 | 1 | 2 | yes | — |
| 450 | #339 | C23 | 1 | 2 | yes | — |
| 451 | #339 | C23 | 1 | 2 | yes | — |
| 452 | #336 | C23 | 1 | 2 | yes | — |
| 453 | 2−1+4 | — | 2 | 8 | no | — |
| 454 | 2−1+4 | — | 2 | 8 | no | — |
| 455 | 2−1+4 | — | 2 | 4 | no | — |
| 456 | 2−1+4 | — | 2 | 4 | no | — |
| 457 | 2−1+4 | — | 2 | 4 | no | — |
| 458 | 2−1+4 | — | 2 | 4 | no | — |
| 459 | 2−1+4 | — | 2 | 4 | no | — |
| 460 | 2−1+4 | — | 4 | 2 | no | — |
| 461 | 2−1+4 | — | 4 | 2 | no | — |
| 462 | 2−1+4 | — | 4 | 8 | no | — |
| 463 | 2−1+4 | — | 4 | 8 | no | — |
| 464 | 2−1+4 | — | 4 | 16 | no | — |
| 465 | 2−1+4 | — | 4 | 4 | no | — |
| 466 | 2−1+4 | — | 4 | 4 | no | — |
| 467 | 2−1+4 | #41 | 1 | 8 | yes | complemented |
| 468 | H(5,𝔽2) | — | 2 | 4 | no | — |
| 469 | H(5,𝔽2) | — | 4 | 2 | no | — |
| 470 | C2×#41 | — | 2 | 4 | no | — |
| 471 | C2×#41 | — | 2 | 4 | no | — |
| 472 | C2×#41 | — | 2 | 1 | no | — |
| 473 | C2×#41 | — | 2 | 1 | no | — |
| 474 | C2×#41 | — | 2 | 1 | no | — |
| 475 | C2×#41 | — | 2 | 1 | no | — |
| 476 | C2×#41 | — | 2 | 8 | no | — |
| 477 | C2×#41 | — | 2 | 4 | no | — |
| 478 | C2×#41 | — | 2 | 1 | no | — |
| 479 | C2×#41 | — | 2 | 1 | no | — |
| 480 | C2×#41 | — | 2 | 2 | no | — |
| 481 | C2×#41 | — | 2 | 2 | no | — |
| 482 | C2×#41 | — | 2 | 2 | no | — |
| 483 | C2×#41 | — | 2 | 2 | no | — |
| 484 | C2×#41 | — | 4 | 2 | no | — |
| 485 | C2×#41 | — | 4 | 2 | no | — |
| 486 | C2×#41 | — | 4 | 2 | no | — |
| 487 | C2×#41 | — | 4 | 1 | no | — |
| 488 | C2×#41 | — | 4 | 1 | no | — |
| 489 | C2×#41 | — | 4 | 1 | no | — |
| 490 | C2×#41 | — | 4 | 2 | no | — |
| 491 | C2×#41 | — | 4 | 4 | no | — |
| 492 | C2×#41 | — | 4 | 2 | no | — |
| 493 | C2×#41 | — | 4 | 2 | no | — |
| 494 | C2×#41 | — | 4 | 8 | no | — |
| 495 | C2×#41 | — | 4 | 16 | no | — |
| 496 | C2×#41 | C2×D4 | 1 | 2 | yes | — |
| 497 | C2×#41 | C2×D4 | 1 | 1 | yes | characteristic |
| 498 | C2×#41 | C2×D4 | 1 | 1 | yes | characteristic |
| 499 | C2×#41 | C24 | 1 | 1 | yes | characteristic |
| 500 | C2×#41 | C24 | 1 | 1 | yes | characteristic |
| 501 | C2×#41 | C24 | 1 | 1 | yes | characteristic |
| 502 | C2×#41 | C24 | 1 | 2 | yes | — |
| 503 | C22×Q8 | — | 2 | 1 | no | — |
| 504 | C22×Q8 | — | 2 | 8 | no | — |
| 505 | C22×Q8 | — | 2 | 2 | no | — |
| 506 | C22×Q8 | — | 2 | 2 | no | — |
| 507 | C22×Q8 | — | 2 | 2 | no | — |
| 508 | C22×Q8 | — | 2 | 4 | no | — |
| 509 | C22×Q8 | — | 2 | 2 | no | — |
| 510 | C22×Q8 | — | 2 | 1 | no | — |
| 511 | C22×Q8 | — | 2 | 1 | no | — |
| 512 | C22×Q8 | — | 2 | 1 | no | — |
| 513 | C22×Q8 | — | 2 | 1 | no | — |
| 514 | C22×Q8 | — | 4 | 1 | no | — |
| 515 | C22×Q8 | — | 4 | 2 | no | — |
| 516 | C22×Q8 | — | 4 | 2 | no | — |
| 517 | C22×Q8 | — | 4 | 1 | no | — |
| 518 | C22×Q8 | — | 4 | 1 | no | — |
| 519 | C22×Q8 | — | 4 | 4 | no | — |
| 520 | C22×Q8 | — | 4 | 8 | no | — |
| 521 | C22×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 522 | C22×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 523 | C22×Q8 | C24 | 1 | 2 | yes | — |
| 524 | C22×D4 | — | 2 | 1 | no | — |
| 525 | C22×D4 | — | 2 | 1 | no | — |
| 526 | C22×D4 | — | 2 | 1 | no | — |
| 527 | C22×D4 | — | 2 | 1 | no | — |
| 528 | C22×D4 | — | 2 | 1 | no | — |
| 529 | C22×D4 | — | 2 | 1 | no | — |
| 530 | C22×D4 | — | 4 | 1 | no | — |
| 531 | C22×D4 | — | 4 | 1 | no | — |
| 532 | C22×D4 | — | 4 | 1 | no | — |
| 533 | C22×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 534 | C22×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 535 | C22×D4 | C24 | 1 | 1 | yes | characteristic |
| 536 | C22×D4 | C24 | 1 | 1 | yes | characteristic |
| 537 | C23×C4 | — | 2 | 1 | no | — |
| 538 | C23×C4 | — | 2 | 1 | no | — |
| 539 | C23×C4 | — | 2 | 1 | no | — |
| 540 | C23×C4 | — | 2 | 1 | no | — |
| 541 | C23×C4 | — | 4 | 1 | no | — |
| 542 | C23×C4 | — | 4 | 1 | no | — |
| 543 | C23×C4 | — | 4 | 1 | no | — |
| 544 | C23×C4 | C24 | 1 | 1 | yes | characteristic |
| 545 | #137 | — | 2 | 4 | no | — |
| 546 | #137 | — | 4 | 2 | no | — |
| 547 | #137 | — | 4 | 8 | no | — |
| 548 | AGL(1,ℤ/8) | — | 2 | 4 | no | — |
| 549 | AGL(1,ℤ/8) | — | 2 | 4 | no | — |
| 550 | AGL(1,ℤ/8) | — | 2 | 4 | no | — |
| 551 | AGL(1,ℤ/8) | — | 2 | 4 | no | — |
| 552 | AGL(1,ℤ/8) | — | 2 | 4 | no | — |
| 553 | AGL(1,ℤ/8) | — | 4 | 2 | no | — |
| 554 | AGL(1,ℤ/8) | — | 4 | 8 | no | — |
| 555 | #135 | — | 2 | 4 | no | — |
| 556 | #135 | — | 2 | 4 | no | — |
| 557 | #135 | — | 4 | 8 | no | — |
| 558 | C2×Q16 | — | 2 | 2 | no | — |
| 559 | C2×Q16 | C2×D4 | 1 | 2 | yes | — |
| 560 | C2×SD16 | — | 2 | 2 | no | — |
| 561 | C2×SD16 | — | 2 | 1 | no | — |
| 562 | C2×SD16 | — | 2 | 2 | no | — |
| 563 | C2×SD16 | — | 2 | 4 | no | — |
| 564 | C2×SD16 | — | 2 | 2 | no | — |
| 565 | C2×SD16 | — | 2 | 1 | no | — |
| 566 | C2×SD16 | — | 2 | 2 | no | — |
| 567 | C2×SD16 | — | 2 | 2 | no | — |
| 568 | C2×SD16 | — | 4 | 2 | no | — |
| 569 | C2×SD16 | — | 4 | 8 | no | — |
| 570 | C2×SD16 | C2×D4 | 1 | 2 | yes | — |
| 571 | C2×SD16 | C2×D4 | 1 | 2 | yes | — |
| 572 | C2×D8 | — | 2 | 2 | no | — |
| 573 | C2×D8 | — | 2 | 1 | no | — |
| 574 | C2×D8 | — | 2 | 2 | no | — |
| 575 | C2×D8 | — | 2 | 1 | no | — |
| 576 | C2×D8 | — | 2 | 1 | no | — |
| 577 | C2×D8 | — | 2 | 1 | no | — |
| 578 | C2×D8 | — | 4 | 2 | no | — |
| 579 | C2×D8 | C2×D4 | 1 | 2 | yes | — |
| 580 | #131 | — | 2 | 4 | no | — |
| 581 | #131 | — | 2 | 4 | no | — |
| 582 | #131 | — | 2 | 4 | no | — |
| 583 | #131 | — | 4 | 2 | no | — |
| 584 | #131 | — | 4 | 2 | no | — |
| 585 | #131 | — | 4 | 2 | no | — |
| 586 | #131 | — | 4 | 2 | no | — |
| 587 | #131 | — | 4 | 4 | no | — |
| 588 | #131 | — | 4 | 4 | no | — |
| 589 | C2×M16 | — | 2 | 1 | no | — |
| 590 | C2×M16 | — | 2 | 2 | no | — |
| 591 | C2×M16 | — | 2 | 2 | no | — |
| 592 | C2×M16 | — | 2 | 2 | no | — |
| 593 | C2×M16 | — | 2 | 1 | no | — |
| 594 | C2×M16 | — | 4 | 2 | no | — |
| 595 | C2×M16 | — | 4 | 4 | no | — |
| 596 | C2×M16 | C24 | 1 | 2 | yes | — |
| 597 | C2×M16 | C24 | 1 | 2 | yes | — |
| 598 | C2×M16 | C24 | 1 | 1 | yes | characteristic |
| 599 | C2×M16 | C24 | 1 | 1 | yes | characteristic |
| 600 | C2×M16 | C24 | 1 | 2 | yes | — |
| 601 | C22×C8 | — | 2 | 1 | no | — |
| 602 | C22×C8 | — | 2 | 2 | no | — |
| 603 | C22×C8 | — | 2 | 2 | no | — |
| 604 | C22×C8 | — | 2 | 2 | no | — |
| 605 | C22×C8 | — | 2 | 1 | no | — |
| 606 | C22×C8 | — | 4 | 2 | no | — |
| 607 | C22×C8 | — | 4 | 4 | no | — |
| 608 | C22×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 609 | C22×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 610 | C22×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 611 | C22×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 612 | C22×C8 | C24 | 1 | 1 | yes | characteristic |
| 613 | C22×C8 | C24 | 1 | 1 | yes | characteristic |
| 614 | C22×C8 | C24 | 1 | 2 | yes | — |
| 615 | C4⋊Q8 | — | 2 | 1 | no | — |
| 616 | C4⋊Q8 | — | 2 | 1 | no | — |
| 617 | #127 | — | 2 | 1 | no | — |
| 618 | #127 | — | 2 | 1 | no | — |
| 619 | #127 | — | 4 | 1 | no | — |
| 620 | #126 | — | 4 | 1 | no | — |
| 621 | #126 | — | 4 | 1 | no | — |
| 622 | #125 | — | 2 | 1 | no | — |
| 623 | #125 | — | 2 | 1 | no | — |
| 624 | #124 | — | 2 | 1 | no | — |
| 625 | #124 | — | 2 | 1 | no | — |
| 626 | #124 | — | 2 | 4 | no | — |
| 627 | #124 | — | 4 | 1 | no | — |
| 628 | #124 | — | 4 | 2 | no | — |
| 629 | #124 | — | 4 | 1 | no | — |
| 630 | #124 | — | 4 | 1 | no | — |
| 631 | #123 | — | 2 | 1 | no | — |
| 632 | #123 | — | 4 | 1 | no | — |
| 633 | #123 | — | 4 | 1 | no | — |
| 634 | #123 | — | 4 | 1 | no | — |
| 635 | #123 | — | 4 | 1 | no | — |
| 636 | #123 | — | 4 | 1 | no | — |
| 637 | #123 | — | 8 | 4 | no | — |
| 638 | C22⋊Q8 | — | 2 | 1 | no | — |
| 639 | C22⋊Q8 | — | 2 | 1 | no | — |
| 640 | C22⋊Q8 | — | 4 | 1 | no | — |
| 641 | C22⋊Q8 | — | 4 | 1 | no | — |
| 642 | C22⋊Q8 | — | 4 | 1 | no | — |
| 643 | C22⋊Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 644 | C22⋊Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 645 | #121 | — | 2 | 1 | no | — |
| 646 | #121 | — | 2 | 1 | no | — |
| 647 | #121 | — | 2 | 1 | no | — |
| 648 | #121 | — | 2 | 1 | no | — |
| 649 | #121 | — | 2 | 1 | no | — |
| 650 | #121 | — | 2 | 1 | no | — |
| 651 | #121 | — | 2 | 1 | no | — |
| 652 | #121 | — | 2 | 1 | no | — |
| 653 | #121 | — | 2 | 1 | no | — |
| 654 | #121 | — | 2 | 1 | no | — |
| 655 | #121 | — | 2 | 1 | no | — |
| 656 | #121 | — | 2 | 1 | no | — |
| 657 | #121 | — | 2 | 1 | no | — |
| 658 | #121 | — | 2 | 1 | no | — |
| 659 | #121 | — | 4 | 1 | no | — |
| 660 | #121 | — | 4 | 1 | no | — |
| 661 | #121 | — | 4 | 1 | no | — |
| 662 | #121 | — | 4 | 1 | no | — |
| 663 | #121 | — | 4 | 1 | no | — |
| 664 | #121 | — | 4 | 1 | no | — |
| 665 | #121 | — | 4 | 1 | no | — |
| 666 | #121 | — | 4 | 1 | no | — |
| 667 | #121 | — | 4 | 1 | no | — |
| 668 | #121 | C2×D4 | 1 | 1 | yes | characteristic |
| 669 | #121 | C2×D4 | 1 | 1 | yes | characteristic |
| 670 | #120 | — | 2 | 1 | no | — |
| 671 | #120 | — | 4 | 1 | no | — |
| 672 | #120 | — | 4 | 1 | no | — |
| 673 | #120 | — | 4 | 1 | no | — |
| 674 | #120 | — | 4 | 1 | no | — |
| 675 | #120 | — | 4 | 1 | no | — |
| 676 | C4×Q8 | — | 2 | 2 | no | — |
| 677 | C4×Q8 | — | 2 | 2 | no | — |
| 678 | C4×Q8 | — | 2 | 1 | no | — |
| 679 | C4×Q8 | — | 2 | 1 | no | — |
| 680 | C4×Q8 | — | 4 | 1 | no | — |
| 681 | C4×Q8 | — | 4 | 1 | no | — |
| 682 | C4×D4 | — | 2 | 1 | no | — |
| 683 | C4×D4 | — | 2 | 1 | no | — |
| 684 | C4×D4 | — | 2 | 2 | no | — |
| 685 | C4×D4 | — | 2 | 2 | no | — |
| 686 | C4×D4 | — | 2 | 1 | no | — |
| 687 | C4×D4 | — | 2 | 1 | no | — |
| 688 | C4×D4 | — | 2 | 1 | no | — |
| 689 | C4×D4 | — | 2 | 1 | no | — |
| 690 | C4×D4 | — | 2 | 1 | no | — |
| 691 | C4×D4 | — | 2 | 1 | no | — |
| 692 | C4×D4 | — | 4 | 1 | no | — |
| 693 | C4×D4 | — | 4 | 1 | no | — |
| 694 | C4×D4 | — | 4 | 1 | no | — |
| 695 | C4×D4 | — | 4 | 2 | no | — |
| 696 | C4×D4 | — | 4 | 2 | no | — |
| 697 | C4×D4 | — | 4 | 1 | no | — |
| 698 | C4×D4 | — | 4 | 1 | no | — |
| 699 | C4×D4 | — | 4 | 1 | no | — |
| 700 | C4×D4 | — | 4 | 1 | no | — |
| 701 | C4×D4 | — | 4 | 2 | no | — |
| 702 | C4×D4 | — | 4 | 2 | no | — |
| 703 | C4×D4 | — | 4 | 1 | no | — |
| 704 | #117 | — | 2 | 1 | no | — |
| 705 | #117 | — | 2 | 1 | no | — |
| 706 | #117 | — | 2 | 2 | no | — |
| 707 | #117 | — | 2 | 2 | no | — |
| 708 | #117 | — | 2 | 1 | no | — |
| 709 | #117 | — | 2 | 1 | no | — |
| 710 | #117 | — | 4 | 1 | no | — |
| 711 | #117 | — | 4 | 2 | no | — |
| 712 | #117 | C2×D4 | 1 | 1 | yes | characteristic |
| 713 | #117 | C2×D4 | 1 | 1 | yes | characteristic |
| 714 | #117 | C24 | 1 | 1 | yes | characteristic |
| 715 | #117 | C24 | 1 | 1 | yes | characteristic |
| 716 | #117 | C24 | 1 | 1 | yes | characteristic |
| 717 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 718 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 719 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 720 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 721 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 722 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 723 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 724 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 725 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 726 | C2×C4⋊C4 | — | 4 | 2 | no | — |
| 727 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 728 | C2×C4⋊C4 | — | 4 | 2 | no | — |
| 729 | C2×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 730 | C2×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 731 | C2×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 732 | C2×C4⋊C4 | C24 | 1 | 1 | yes | characteristic |
| 733 | C2×C4⋊C4 | C24 | 1 | 1 | yes | characteristic |
| 734 | C2×C22⋊C4 | — | 2 | 1 | no | — |
| 735 | C2×C22⋊C4 | — | 2 | 1 | no | — |
| 736 | C2×C22⋊C4 | — | 2 | 1 | no | — |
| 737 | C2×C22⋊C4 | — | 2 | 1 | no | — |
| 738 | C2×C22⋊C4 | — | 4 | 1 | no | — |
| 739 | C2×C22⋊C4 | — | 4 | 1 | no | — |
| 740 | C2×C22⋊C4 | — | 4 | 1 | no | — |
| 741 | C2×C22⋊C4 | — | 4 | 2 | no | — |
| 742 | C2×C22⋊C4 | — | 4 | 2 | no | — |
| 743 | C2×C42 | — | 2 | 1 | no | — |
| 744 | C2×C42 | — | 4 | 1 | no | — |
| 745 | C2×C42 | C24 | 1 | 2 | yes | — |
| 746 | #108 | — | 4 | 2 | no | — |
| 747 | #108 | — | 4 | 2 | no | — |
| 748 | #107 | — | 2 | 2 | no | — |
| 749 | #107 | — | 2 | 2 | no | — |
| 750 | #107 | — | 2 | 1 | no | — |
| 751 | #107 | — | 2 | 1 | no | — |
| 752 | #107 | — | 2 | 2 | no | — |
| 753 | #107 | — | 2 | 1 | no | — |
| 754 | #107 | — | 2 | 1 | no | — |
| 755 | #106 | — | 2 | 2 | no | — |
| 756 | #106 | — | 2 | 1 | no | — |
| 757 | #106 | — | 2 | 1 | no | — |
| 758 | C4⋊C8 | — | 2 | 2 | no | — |
| 759 | C4⋊C8 | — | 2 | 2 | no | — |
| 760 | C4⋊C8 | — | 2 | 1 | no | — |
| 761 | C4⋊C8 | — | 2 | 1 | no | — |
| 762 | #104 | — | 2 | 4 | no | — |
| 763 | #104 | — | 2 | 4 | no | — |
| 764 | #104 | — | 2 | 4 | no | — |
| 765 | #104 | — | 4 | 2 | no | — |
| 766 | #104 | — | 4 | 2 | no | — |
| 767 | #103 | — | 2 | 2 | no | — |
| 768 | #103 | — | 2 | 2 | no | — |
| 769 | #103 | — | 2 | 2 | no | — |
| 770 | #103 | — | 2 | 1 | no | — |
| 771 | #103 | — | 2 | 2 | no | — |
| 772 | #103 | — | 2 | 2 | no | — |
| 773 | #103 | — | 2 | 1 | no | — |
| 774 | #103 | — | 2 | 2 | no | — |
| 775 | #103 | — | 2 | 2 | no | — |
| 776 | #103 | — | 2 | 2 | no | — |
| 777 | #103 | — | 2 | 2 | no | — |
| 778 | #103 | — | 2 | 2 | no | — |
| 779 | #103 | — | 2 | 2 | no | — |
| 780 | #103 | — | 2 | 2 | no | — |
| 781 | #103 | — | 2 | 2 | no | — |
| 782 | #103 | — | 2 | 2 | no | — |
| 783 | #103 | — | 2 | 2 | no | — |
| 784 | #103 | — | 2 | 2 | no | — |
| 785 | #103 | — | 2 | 2 | no | — |
| 786 | #103 | C2×D4 | 1 | 1 | yes | characteristic |
| 787 | #103 | C2×D4 | 1 | 1 | yes | characteristic |
| 788 | #103 | C2×D4 | 1 | 1 | yes | characteristic |
| 789 | #103 | C2×D4 | 1 | 1 | yes | characteristic |
| 790 | #103 | C2×D4 | 1 | 2 | yes | — |
| 791 | #103 | C2×D4 | 1 | 1 | yes | characteristic |
| 792 | #103 | C2×D4 | 1 | 1 | yes | characteristic |
| 793 | #103 | C2×D4 | 1 | 1 | yes | characteristic |
| 794 | #103 | C2×D4 | 1 | 1 | yes | characteristic |
| 795 | #103 | C2×D4 | 1 | 2 | yes | — |
| 796 | #102 | — | 2 | 2 | no | — |
| 797 | #102 | — | 2 | 2 | no | — |
| 798 | #102 | — | 2 | 1 | no | — |
| 799 | #102 | — | 2 | 2 | no | — |
| 800 | #102 | — | 2 | 2 | no | — |
| 801 | #102 | — | 2 | 2 | no | — |
| 802 | #102 | — | 2 | 1 | no | — |
| 803 | #102 | — | 2 | 1 | no | — |
| 804 | #102 | — | 2 | 1 | no | — |
| 805 | #102 | — | 2 | 2 | no | — |
| 806 | #102 | — | 2 | 1 | no | — |
| 807 | #102 | — | 2 | 2 | no | — |
| 808 | #102 | — | 2 | 1 | no | — |
| 809 | #102 | — | 2 | 1 | no | — |
| 810 | #102 | — | 2 | 1 | no | — |
| 811 | #102 | — | 2 | 1 | no | — |
| 812 | #102 | — | 2 | 1 | no | — |
| 813 | #102 | C2×D4 | 1 | 1 | yes | characteristic |
| 814 | #102 | C2×D4 | 1 | 1 | yes | characteristic |
| 815 | #102 | C2×D4 | 1 | 1 | yes | characteristic |
| 816 | #102 | C2×D4 | 1 | 1 | yes | characteristic |
| 817 | #102 | C2×D4 | 1 | 1 | yes | characteristic |
| 818 | #102 | C2×D4 | 1 | 1 | yes | characteristic |
| 819 | #102 | C2×D4 | 1 | 1 | yes | characteristic |
| 820 | #102 | C2×D4 | 1 | 1 | yes | characteristic |
| 821 | #102 | C2×D4 | 1 | 2 | yes | — |
| 822 | #102 | C2×D4 | 1 | 2 | yes | — |
| 823 | #101 | — | 2 | 4 | no | — |
| 824 | #101 | — | 4 | 2 | no | — |
| 825 | #100 | — | 4 | 2 | no | — |
| 826 | #100 | — | 4 | 2 | no | — |
| 827 | C22⋊C8 | — | 2 | 1 | no | — |
| 828 | C22⋊C8 | — | 2 | 1 | no | — |
| 829 | C22⋊C8 | — | 2 | 1 | no | — |
| 830 | C22⋊C8 | — | 2 | 1 | no | — |
| 831 | C22⋊C8 | — | 2 | 1 | no | — |
| 832 | C22⋊C8 | — | 2 | 1 | no | — |
| 833 | C22⋊C8 | — | 2 | 2 | no | — |
| 834 | C22⋊C8 | — | 2 | 2 | no | — |
| 835 | C22⋊C8 | — | 2 | 1 | no | — |
| 836 | C22⋊C8 | — | 2 | 1 | no | — |
| 837 | C22⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 838 | C22⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 839 | C22⋊C8 | C2×D4 | 1 | 2 | yes | — |
| 840 | #97 | — | 2 | 2 | no | — |
| 841 | #97 | — | 2 | 1 | no | — |
| 842 | #97 | — | 4 | 2 | no | — |
| 843 | C4×C8 | — | 2 | 2 | no | — |
| 844 | C4×C8 | — | 2 | 1 | no | — |
| 845 | #95 | — | 2 | 1 | no | — |
| 846 | #95 | — | 4 | 2 | no | — |
| 847 | C24 | — | 2 | 1 | no | — |
| 848 | C24 | — | 2 | 1 | no | — |
| 849 | C24 | — | 2 | 1 | no | — |
| 850 | C24 | — | 2 | 1 | no | — |
| 851 | C24 | — | 4 | 1 | no | — |
| 852 | C24 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 853 | #41 | — | 2 | 4 | no | — |
| 854 | #41 | — | 2 | 4 | no | — |
| 855 | #41 | — | 2 | 8 | no | — |
| 856 | #41 | — | 2 | 4 | no | — |
| 857 | #41 | — | 2 | 4 | no | — |
| 858 | #41 | — | 2 | 2 | no | — |
| 859 | #41 | — | 2 | 2 | no | — |
| 860 | #41 | — | 2 | 2 | no | — |
| 861 | #41 | — | 2 | 8 | no | — |
| 862 | #41 | — | 2 | 2 | no | — |
| 863 | #41 | — | 2 | 8 | no | — |
| 864 | #41 | — | 2 | 2 | no | — |
| 865 | #41 | — | 2 | 8 | no | — |
| 866 | #41 | — | 2 | 2 | no | — |
| 867 | #41 | — | 2 | 2 | no | — |
| 868 | #41 | — | 2 | 2 | no | — |
| 869 | #41 | — | 2 | 2 | no | — |
| 870 | #41 | — | 4 | 4 | no | — |
| 871 | #41 | — | 4 | 8 | no | — |
| 872 | #41 | — | 4 | 1 | no | — |
| 873 | #41 | — | 4 | 1 | no | — |
| 874 | #41 | — | 4 | 4 | no | — |
| 875 | #41 | — | 4 | 4 | no | — |
| 876 | #41 | — | 4 | 4 | no | — |
| 877 | #41 | — | 4 | 4 | no | — |
| 878 | #41 | — | 4 | 8 | no | — |
| 879 | #41 | — | 4 | 16 | no | — |
| 880 | #41 | — | 4 | 4 | no | — |
| 881 | #41 | — | 4 | 8 | no | — |
| 882 | #41 | — | 4 | 4 | no | — |
| 883 | #41 | — | 4 | 8 | no | — |
| 884 | #41 | — | 4 | 8 | no | — |
| 885 | #41 | — | 4 | 16 | no | — |
| 886 | #41 | — | 4 | 16 | no | — |
| 887 | #41 | — | 4 | 8 | no | — |
| 888 | #41 | — | 4 | 4 | no | — |
| 889 | #41 | — | 4 | 2 | no | — |
| 890 | #41 | — | 8 | 1 | no | — |
| 891 | #41 | — | 16 | 2 | no | — |
| 892 | #41 | C2×#41 | 1 | 4 | yes | — |
| 893 | #41 | C2×#41 | 1 | 4 | yes | — |
| 894 | #41 | H(5,𝔽2) | 1 | 4 | yes | — |
| 895 | C2×Q8 | — | 2 | 4 | no | — |
| 896 | C2×Q8 | — | 2 | 1 | no | — |
| 897 | C2×Q8 | — | 2 | 1 | no | — |
| 898 | C2×Q8 | — | 2 | 2 | no | — |
| 899 | C2×Q8 | — | 2 | 4 | no | — |
| 900 | C2×Q8 | — | 2 | 8 | no | — |
| 901 | C2×Q8 | — | 2 | 4 | no | — |
| 902 | C2×Q8 | — | 2 | 2 | no | — |
| 903 | C2×Q8 | — | 2 | 8 | no | — |
| 904 | C2×Q8 | — | 2 | 8 | no | — |
| 905 | C2×Q8 | — | 2 | 2 | no | — |
| 906 | C2×Q8 | — | 2 | 2 | no | — |
| 907 | C2×Q8 | — | 2 | 2 | no | — |
| 908 | C2×Q8 | — | 2 | 2 | no | — |
| 909 | C2×Q8 | — | 4 | 2 | no | — |
| 910 | C2×Q8 | — | 4 | 2 | no | — |
| 911 | C2×Q8 | — | 4 | 4 | no | — |
| 912 | C2×Q8 | — | 4 | 1 | no | — |
| 913 | C2×Q8 | — | 4 | 1 | no | — |
| 914 | C2×Q8 | — | 4 | 4 | no | — |
| 915 | C2×Q8 | — | 4 | 4 | no | — |
| 916 | C2×Q8 | — | 4 | 4 | no | — |
| 917 | C2×Q8 | — | 4 | 4 | no | — |
| 918 | C2×Q8 | — | 4 | 4 | no | — |
| 919 | C2×Q8 | — | 4 | 8 | no | — |
| 920 | C2×Q8 | — | 4 | 2 | no | — |
| 921 | C2×Q8 | — | 4 | 16 | no | — |
| 922 | C2×Q8 | — | 4 | 2 | no | — |
| 923 | C2×Q8 | — | 4 | 4 | no | — |
| 924 | C2×Q8 | — | 4 | 8 | no | — |
| 925 | C2×Q8 | — | 4 | 8 | no | — |
| 926 | C2×Q8 | — | 4 | 4 | no | — |
| 927 | C2×Q8 | — | 4 | 1 | no | — |
| 928 | C2×Q8 | — | 4 | 1 | no | — |
| 929 | C2×Q8 | C22×D4 | 1 | 1 | yes | characteristic |
| 930 | C2×Q8 | C22×D4 | 1 | 1 | yes | characteristic |
| 931 | C2×Q8 | C22×D4 | 1 | 1 | yes | characteristic |
| 932 | C2×Q8 | C22×D4 | 1 | 2 | yes | — |
| 933 | C2×Q8 | C2×#41 | 1 | 4 | yes | — |
| 934 | C2×D4 | — | 2 | 8 | no | — |
| 935 | C2×D4 | — | 2 | 2 | no | — |
| 936 | C2×D4 | — | 2 | 2 | no | — |
| 937 | C2×D4 | — | 2 | 1 | no | — |
| 938 | C2×D4 | — | 2 | 4 | no | — |
| 939 | C2×D4 | — | 2 | 2 | no | — |
| 940 | C2×D4 | — | 2 | 1 | no | — |
| 941 | C2×D4 | — | 2 | 1 | no | — |
| 942 | C2×D4 | — | 2 | 1 | no | — |
| 943 | C2×D4 | — | 2 | 1 | no | — |
| 944 | C2×D4 | — | 2 | 1 | no | — |
| 945 | C2×D4 | — | 2 | 1 | no | — |
| 946 | C2×D4 | — | 2 | 1 | no | — |
| 947 | C2×D4 | — | 2 | 1 | no | — |
| 948 | C2×D4 | — | 2 | 1 | no | — |
| 949 | C2×D4 | — | 2 | 1 | no | — |
| 950 | C2×D4 | — | 2 | 1 | no | — |
| 951 | C2×D4 | — | 2 | 1 | no | — |
| 952 | C2×D4 | — | 2 | 2 | no | — |
| 953 | C2×D4 | — | 2 | 2 | no | — |
| 954 | C2×D4 | — | 2 | 2 | no | — |
| 955 | C2×D4 | — | 2 | 2 | no | — |
| 956 | C2×D4 | — | 4 | 1 | no | — |
| 957 | C2×D4 | — | 4 | 4 | no | — |
| 958 | C2×D4 | — | 4 | 1 | no | — |
| 959 | C2×D4 | — | 4 | 1 | no | — |
| 960 | C2×D4 | — | 4 | 1 | no | — |
| 961 | C2×D4 | — | 4 | 1 | no | — |
| 962 | C2×D4 | — | 4 | 1 | no | — |
| 963 | C2×D4 | — | 4 | 1 | no | — |
| 964 | C2×D4 | — | 4 | 4 | no | — |
| 965 | C2×D4 | — | 4 | 2 | no | — |
| 966 | C2×D4 | — | 4 | 2 | no | — |
| 967 | C2×D4 | — | 4 | 8 | no | — |
| 968 | C2×D4 | — | 4 | 2 | no | — |
| 969 | C2×D4 | — | 4 | 1 | no | — |
| 970 | C2×D4 | — | 4 | 1 | no | — |
| 971 | C2×D4 | — | 4 | 1 | no | — |
| 972 | C2×D4 | — | 4 | 1 | no | — |
| 973 | C2×D4 | — | 4 | 1 | no | — |
| 974 | C2×D4 | — | 8 | 1 | no | — |
| 975 | C2×D4 | — | 8 | 4 | no | — |
| 976 | C2×D4 | — | 8 | 2 | no | — |
| 977 | C2×D4 | — | 8 | 2 | no | — |
| 978 | C2×D4 | — | 16 | 2 | no | — |
| 979 | C2×D4 | C22×D4 | 1 | 1 | yes | characteristic |
| 980 | C2×D4 | C22×D4 | 1 | 1 | yes | characteristic |
| 981 | C2×D4 | C22×D4 | 1 | 1 | yes | characteristic |
| 982 | C2×D4 | C22×D4 | 1 | 2 | yes | — |
| 983 | C22×C4 | — | 2 | 4 | no | — |
| 984 | C22×C4 | — | 2 | 4 | no | — |
| 985 | C22×C4 | — | 2 | 1 | no | — |
| 986 | C22×C4 | — | 2 | 2 | no | — |
| 987 | C22×C4 | — | 2 | 2 | no | — |
| 988 | C22×C4 | — | 2 | 1 | no | — |
| 989 | C22×C4 | — | 2 | 2 | no | — |
| 990 | C22×C4 | — | 2 | 2 | no | — |
| 991 | C22×C4 | — | 2 | 1 | no | — |
| 992 | C22×C4 | — | 2 | 1 | no | — |
| 993 | C22×C4 | — | 2 | 2 | no | — |
| 994 | C22×C4 | — | 2 | 1 | no | — |
| 995 | C22×C4 | — | 2 | 1 | no | — |
| 996 | C22×C4 | — | 2 | 1 | no | — |
| 997 | C22×C4 | — | 2 | 1 | no | — |
| 998 | C22×C4 | — | 2 | 1 | no | — |
| 999 | C22×C4 | — | 2 | 2 | no | — |
| 1000 | C22×C4 | — | 2 | 1 | no | — |
| 1001 | C22×C4 | — | 2 | 1 | no | — |
| 1002 | C22×C4 | — | 2 | 2 | no | — |
| 1003 | C22×C4 | — | 4 | 4 | no | — |
| 1004 | C22×C4 | — | 4 | 1 | no | — |
| 1005 | C22×C4 | — | 4 | 1 | no | — |
| 1006 | C22×C4 | — | 4 | 1 | no | — |
| 1007 | C22×C4 | — | 4 | 4 | no | — |
| 1008 | C22×C4 | — | 4 | 2 | no | — |
| 1009 | C22×C4 | — | 4 | 2 | no | — |
| 1010 | C22×C4 | — | 4 | 2 | no | — |
| 1011 | C22×C4 | — | 4 | 2 | no | — |
| 1012 | C22×C4 | — | 4 | 8 | no | — |
| 1013 | C22×C4 | — | 4 | 1 | no | — |
| 1014 | C22×C4 | — | 4 | 2 | no | — |
| 1015 | C22×C4 | — | 4 | 2 | no | — |
| 1016 | C22×C4 | — | 4 | 1 | no | — |
| 1017 | C22×C4 | — | 4 | 8 | 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 | — | 8 | 2 | no | — |
| 1023 | C22×C4 | — | 16 | 2 | no | — |
| 1024 | C22×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1025 | C22×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1026 | C22×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1027 | C22×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1028 | C22×C4 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 1029 | C22×C4 | C25 | 1 | 1 | yes | characteristic |
| 1030 | Q16 | — | 2 | 4 | no | — |
| 1031 | Q16 | — | 4 | 4 | no | — |
| 1032 | SD16 | — | 2 | 4 | no | — |
| 1033 | SD16 | — | 2 | 4 | no | — |
| 1034 | SD16 | — | 4 | 4 | no | — |
| 1035 | SD16 | — | 4 | 4 | no | — |
| 1036 | SD16 | — | 4 | 4 | no | — |
| 1037 | SD16 | — | 4 | 2 | no | — |
| 1038 | SD16 | — | 4 | 4 | no | — |
| 1039 | SD16 | — | 4 | 4 | no | — |
| 1040 | SD16 | — | 8 | 1 | no | — |
| 1041 | D8 | — | 2 | 4 | no | — |
| 1042 | D8 | — | 4 | 2 | no | — |
| 1043 | D8 | — | 4 | 4 | no | — |
| 1044 | D8 | — | 4 | 4 | no | — |
| 1045 | D8 | — | 8 | 1 | no | — |
| 1046 | D8 | — | 8 | 1 | no | — |
| 1047 | D8 | — | 8 | 1 | no | — |
| 1048 | M16 | — | 2 | 2 | no | — |
| 1049 | M16 | — | 2 | 2 | no | — |
| 1050 | M16 | — | 2 | 2 | no | — |
| 1051 | M16 | — | 2 | 2 | no | — |
| 1052 | M16 | — | 2 | 2 | no | — |
| 1053 | M16 | — | 2 | 2 | no | — |
| 1054 | M16 | — | 2 | 2 | no | — |
| 1055 | M16 | — | 2 | 2 | no | — |
| 1056 | M16 | — | 4 | 4 | no | — |
| 1057 | M16 | — | 4 | 4 | no | — |
| 1058 | M16 | — | 4 | 4 | no | — |
| 1059 | M16 | — | 4 | 2 | no | — |
| 1060 | M16 | — | 8 | 1 | no | — |
| 1061 | C2×C8 | — | 2 | 2 | no | — |
| 1062 | C2×C8 | — | 2 | 2 | no | — |
| 1063 | C2×C8 | — | 2 | 2 | no | — |
| 1064 | C2×C8 | — | 2 | 2 | no | — |
| 1065 | C2×C8 | — | 2 | 1 | no | — |
| 1066 | C2×C8 | — | 2 | 2 | no | — |
| 1067 | C2×C8 | — | 2 | 2 | no | — |
| 1068 | C2×C8 | — | 2 | 1 | no | — |
| 1069 | C2×C8 | — | 2 | 2 | no | — |
| 1070 | C2×C8 | — | 4 | 1 | no | — |
| 1071 | C2×C8 | — | 4 | 1 | no | — |
| 1072 | C2×C8 | — | 4 | 1 | no | — |
| 1073 | C2×C8 | — | 4 | 1 | no | — |
| 1074 | C2×C8 | — | 4 | 4 | no | — |
| 1075 | C2×C8 | — | 4 | 4 | no | — |
| 1076 | C2×C8 | — | 4 | 4 | no | — |
| 1077 | C2×C8 | — | 4 | 2 | no | — |
| 1078 | C2×C8 | — | 8 | 1 | no | — |
| 1079 | C2×C8 | C22×D4 | 1 | 2 | yes | — |
| 1080 | C2×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 1081 | C2×C8 | C22×D4 | 1 | 2 | yes | — |
| 1082 | C2×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 1083 | C2×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 1084 | C2×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 1085 | C4⋊C4 | — | 2 | 1 | no | — |
| 1086 | C4⋊C4 | — | 2 | 1 | no | — |
| 1087 | C4⋊C4 | — | 2 | 1 | no | — |
| 1088 | C4⋊C4 | — | 2 | 1 | no | — |
| 1089 | C4⋊C4 | — | 2 | 1 | no | — |
| 1090 | C4⋊C4 | — | 2 | 2 | no | — |
| 1091 | C4⋊C4 | — | 2 | 2 | no | — |
| 1092 | C4⋊C4 | — | 2 | 1 | no | — |
| 1093 | C4⋊C4 | — | 2 | 1 | no | — |
| 1094 | C4⋊C4 | — | 2 | 1 | no | — |
| 1095 | C4⋊C4 | — | 4 | 2 | no | — |
| 1096 | C4⋊C4 | — | 4 | 2 | no | — |
| 1097 | C4⋊C4 | — | 4 | 1 | no | — |
| 1098 | C4⋊C4 | — | 4 | 1 | no | — |
| 1099 | C4⋊C4 | — | 4 | 1 | no | — |
| 1100 | C4⋊C4 | — | 4 | 1 | no | — |
| 1101 | C4⋊C4 | — | 4 | 1 | no | — |
| 1102 | C4⋊C4 | — | 4 | 1 | no | — |
| 1103 | C4⋊C4 | — | 4 | 1 | no | — |
| 1104 | C4⋊C4 | — | 4 | 1 | no | — |
| 1105 | C4⋊C4 | — | 8 | 4 | no | — |
| 1106 | C4⋊C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1107 | C4⋊C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1108 | C4⋊C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1109 | C4⋊C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1110 | C4⋊C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1111 | C4⋊C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1112 | C22⋊C4 | — | 2 | 1 | no | — |
| 1113 | C22⋊C4 | — | 2 | 1 | no | — |
| 1114 | C22⋊C4 | — | 2 | 1 | no | — |
| 1115 | C22⋊C4 | — | 2 | 1 | no | — |
| 1116 | C22⋊C4 | — | 2 | 1 | no | — |
| 1117 | C22⋊C4 | — | 2 | 1 | no | — |
| 1118 | C22⋊C4 | — | 2 | 1 | no | — |
| 1119 | C22⋊C4 | — | 2 | 1 | no | — |
| 1120 | C22⋊C4 | — | 2 | 1 | no | — |
| 1121 | C22⋊C4 | — | 4 | 1 | no | — |
| 1122 | C22⋊C4 | — | 4 | 1 | no | — |
| 1123 | C22⋊C4 | — | 4 | 1 | no | — |
| 1124 | C22⋊C4 | — | 4 | 1 | no | — |
| 1125 | C22⋊C4 | — | 4 | 1 | no | — |
| 1126 | C22⋊C4 | — | 4 | 1 | no | — |
| 1127 | C22⋊C4 | — | 4 | 2 | no | — |
| 1128 | C22⋊C4 | — | 4 | 2 | no | — |
| 1129 | C22⋊C4 | — | 4 | 1 | no | — |
| 1130 | C22⋊C4 | — | 4 | 1 | no | — |
| 1131 | C22⋊C4 | — | 4 | 1 | no | — |
| 1132 | C22⋊C4 | — | 4 | 1 | no | — |
| 1133 | C22⋊C4 | — | 4 | 2 | no | — |
| 1134 | C22⋊C4 | — | 4 | 1 | no | — |
| 1135 | C22⋊C4 | — | 4 | 1 | no | — |
| 1136 | C22⋊C4 | — | 4 | 1 | no | — |
| 1137 | C22⋊C4 | — | 4 | 1 | no | — |
| 1138 | C22⋊C4 | — | 8 | 4 | no | — |
| 1139 | C22⋊C4 | — | 8 | 4 | no | — |
| 1140 | C42 | — | 2 | 1 | no | — |
| 1141 | C42 | — | 2 | 1 | no | — |
| 1142 | C42 | — | 2 | 1 | no | — |
| 1143 | C42 | — | 2 | 1 | no | — |
| 1144 | C42 | — | 2 | 1 | no | — |
| 1145 | C42 | — | 2 | 2 | no | — |
| 1146 | C42 | — | 2 | 2 | no | — |
| 1147 | C42 | — | 4 | 2 | no | — |
| 1148 | C42 | — | 4 | 2 | no | — |
| 1149 | C42 | — | 4 | 1 | no | — |
| 1150 | C42 | — | 4 | 1 | no | — |
| 1151 | C23 | — | 2 | 4 | no | — |
| 1152 | C23 | — | 2 | 2 | no | — |
| 1153 | C23 | — | 2 | 1 | no | — |
| 1154 | C23 | — | 2 | 2 | no | — |
| 1155 | C23 | — | 2 | 2 | no | — |
| 1156 | C23 | — | 2 | 1 | no | — |
| 1157 | C23 | — | 2 | 1 | no | — |
| 1158 | C23 | — | 4 | 1 | no | — |
| 1159 | C23 | — | 4 | 2 | no | — |
| 1160 | C23 | — | 4 | 2 | no | — |
| 1161 | C23 | — | 4 | 2 | no | — |
| 1162 | C23 | — | 4 | 2 | no | — |
| 1163 | C23 | — | 4 | 1 | no | — |
| 1164 | C23 | — | 4 | 1 | no | — |
| 1165 | C23 | — | 4 | 2 | no | — |
| 1166 | C23 | — | 4 | 2 | no | — |
| 1167 | C23 | — | 8 | 1 | no | — |
| 1168 | C23 | — | 8 | 2 | no | — |
| 1169 | C23 | — | 8 | 1 | no | — |
| 1170 | C23 | — | 8 | 1 | no | — |
| 1171 | C23 | — | 8 | 1 | no | — |
| 1172 | C23 | — | 8 | 1 | no | — |
| 1173 | C23 | — | 16 | 1 | no | — |
| 1174 | C23 | — | 16 | 1 | no | — |
| 1175 | C23 | D42 | 1 | 1 | yes | characteristic |
| 1176 | C23 | D42 | 1 | 1 | yes | characteristic |
| 1177 | C23 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 1178 | Q8 | — | 2 | 4 | no | — |
| 1179 | Q8 | — | 2 | 2 | no | — |
| 1180 | Q8 | — | 2 | 1 | no | — |
| 1181 | Q8 | — | 2 | 1 | no | — |
| 1182 | Q8 | — | 2 | 4 | no | — |
| 1183 | Q8 | — | 2 | 2 | no | — |
| 1184 | Q8 | — | 2 | 4 | no | — |
| 1185 | Q8 | — | 2 | 1 | no | — |
| 1186 | Q8 | — | 4 | 2 | no | — |
| 1187 | Q8 | — | 4 | 8 | no | — |
| 1188 | Q8 | — | 4 | 4 | no | — |
| 1189 | Q8 | — | 4 | 8 | no | — |
| 1190 | Q8 | — | 4 | 4 | no | — |
| 1191 | Q8 | — | 4 | 2 | no | — |
| 1192 | Q8 | — | 4 | 2 | no | — |
| 1193 | Q8 | — | 16 | 1 | no | — |
| 1194 | Q8 | #525 | 1 | 2 | yes | — |
| 1195 | Q8 | #546 | 1 | 4 | yes | — |
| 1196 | D4 | — | 2 | 8 | no | — |
| 1197 | D4 | — | 2 | 4 | no | — |
| 1198 | D4 | — | 2 | 4 | no | — |
| 1199 | D4 | — | 2 | 4 | no | — |
| 1200 | D4 | — | 2 | 4 | no | — |
| 1201 | D4 | — | 2 | 1 | no | — |
| 1202 | D4 | — | 2 | 2 | no | — |
| 1203 | D4 | — | 2 | 2 | no | — |
| 1204 | D4 | — | 2 | 1 | no | — |
| 1205 | D4 | — | 2 | 1 | no | — |
| 1206 | D4 | — | 4 | 2 | no | — |
| 1207 | D4 | — | 4 | 2 | no | — |
| 1208 | D4 | — | 4 | 2 | no | — |
| 1209 | D4 | — | 4 | 8 | no | — |
| 1210 | D4 | — | 4 | 8 | no | — |
| 1211 | D4 | — | 4 | 2 | no | — |
| 1212 | D4 | — | 4 | 2 | no | — |
| 1213 | D4 | — | 4 | 2 | no | — |
| 1214 | D4 | — | 4 | 1 | no | — |
| 1215 | D4 | — | 4 | 1 | no | — |
| 1216 | D4 | — | 4 | 2 | no | — |
| 1217 | D4 | — | 4 | 2 | no | — |
| 1218 | D4 | — | 4 | 1 | no | — |
| 1219 | D4 | — | 4 | 1 | no | — |
| 1220 | D4 | — | 8 | 2 | no | — |
| 1221 | D4 | — | 8 | 1 | no | — |
| 1222 | D4 | — | 8 | 2 | no | — |
| 1223 | D4 | — | 8 | 2 | no | — |
| 1224 | D4 | — | 8 | 2 | no | — |
| 1225 | D4 | — | 16 | 1 | no | — |
| 1226 | D4 | — | 16 | 1 | no | — |
| 1227 | D4 | — | 16 | 1 | no | — |
| 1228 | D4 | — | 16 | 1 | no | — |
| 1229 | D4 | — | 16 | 1 | no | — |
| 1230 | D4 | — | 16 | 1 | no | — |
| 1231 | D4 | — | 16 | 1 | no | — |
| 1232 | D4 | #525 | 1 | 2 | yes | — |
| 1233 | D4 | #546 | 1 | 4 | yes | — |
| 1234 | C2×C4 | — | 2 | 4 | no | — |
| 1235 | C2×C4 | — | 2 | 8 | no | — |
| 1236 | C2×C4 | — | 2 | 2 | no | — |
| 1237 | C2×C4 | — | 2 | 1 | no | — |
| 1238 | C2×C4 | — | 2 | 2 | no | — |
| 1239 | C2×C4 | — | 2 | 1 | no | — |
| 1240 | C2×C4 | — | 2 | 4 | no | — |
| 1241 | C2×C4 | — | 2 | 1 | no | — |
| 1242 | C2×C4 | — | 2 | 4 | no | — |
| 1243 | C2×C4 | — | 2 | 2 | no | — |
| 1244 | C2×C4 | — | 2 | 2 | no | — |
| 1245 | C2×C4 | — | 2 | 1 | no | — |
| 1246 | C2×C4 | — | 2 | 4 | no | — |
| 1247 | C2×C4 | — | 2 | 1 | no | — |
| 1248 | C2×C4 | — | 2 | 1 | no | — |
| 1249 | C2×C4 | — | 2 | 1 | no | — |
| 1250 | C2×C4 | — | 2 | 1 | no | — |
| 1251 | C2×C4 | — | 2 | 1 | no | — |
| 1252 | C2×C4 | — | 2 | 1 | no | — |
| 1253 | C2×C4 | — | 2 | 1 | no | — |
| 1254 | C2×C4 | — | 2 | 1 | no | — |
| 1255 | C2×C4 | — | 2 | 1 | no | — |
| 1256 | C2×C4 | — | 2 | 4 | no | — |
| 1257 | C2×C4 | — | 4 | 2 | no | — |
| 1258 | C2×C4 | — | 4 | 2 | no | — |
| 1259 | C2×C4 | — | 4 | 2 | no | — |
| 1260 | C2×C4 | — | 4 | 8 | no | — |
| 1261 | C2×C4 | — | 4 | 8 | no | — |
| 1262 | C2×C4 | — | 4 | 8 | no | — |
| 1263 | C2×C4 | — | 4 | 4 | no | — |
| 1264 | C2×C4 | — | 4 | 4 | no | — |
| 1265 | C2×C4 | — | 4 | 8 | no | — |
| 1266 | C2×C4 | — | 4 | 2 | no | — |
| 1267 | C2×C4 | — | 4 | 2 | no | — |
| 1268 | C2×C4 | — | 4 | 2 | no | — |
| 1269 | C2×C4 | — | 4 | 1 | no | — |
| 1270 | C2×C4 | — | 4 | 2 | no | — |
| 1271 | C2×C4 | — | 4 | 1 | no | — |
| 1272 | C2×C4 | — | 4 | 2 | no | — |
| 1273 | C2×C4 | — | 4 | 2 | no | — |
| 1274 | C2×C4 | — | 4 | 2 | no | — |
| 1275 | C2×C4 | — | 4 | 1 | no | — |
| 1276 | C2×C4 | — | 4 | 1 | no | — |
| 1277 | C2×C4 | — | 4 | 2 | no | — |
| 1278 | C2×C4 | — | 8 | 2 | no | — |
| 1279 | C2×C4 | — | 8 | 1 | no | — |
| 1280 | C2×C4 | — | 8 | 2 | no | — |
| 1281 | C2×C4 | — | 8 | 2 | no | — |
| 1282 | C2×C4 | — | 8 | 1 | no | — |
| 1283 | C2×C4 | — | 8 | 1 | no | — |
| 1284 | C2×C4 | — | 16 | 1 | no | — |
| 1285 | C2×C4 | — | 16 | 1 | no | — |
| 1286 | C2×C4 | — | 16 | 2 | no | — |
| 1287 | C2×C4 | — | 16 | 2 | no | — |
| 1288 | C2×C4 | — | 16 | 1 | no | — |
| 1289 | C2×C4 | — | 16 | 1 | no | — |
| 1290 | C2×C4 | — | 16 | 1 | no | — |
| 1291 | C2×C4 | D42 | 1 | 1 | yes | characteristic |
| 1292 | C2×C4 | D42 | 1 | 1 | yes | characteristic |
| 1293 | C2×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 1294 | C2×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 1295 | C2×C4 | C22×#41 | 1 | 2 | yes | — |
| 1296 | C2×C4 | C2×H(5,𝔽2) | 1 | 2 | yes | — |
| 1297 | C8 | — | 2 | 2 | no | — |
| 1298 | C8 | — | 2 | 2 | no | — |
| 1299 | C8 | — | 2 | 1 | no | — |
| 1300 | C8 | — | 2 | 1 | no | — |
| 1301 | C8 | — | 2 | 1 | no | — |
| 1302 | C8 | — | 2 | 1 | no | — |
| 1303 | C8 | — | 4 | 1 | no | — |
| 1304 | C8 | — | 4 | 2 | no | — |
| 1305 | C8 | — | 4 | 2 | no | — |
| 1306 | C8 | — | 4 | 2 | no | — |
| 1307 | C8 | — | 4 | 1 | no | — |
| 1308 | C22 | — | 2 | 1 | no | — |
| 1309 | C22 | — | 2 | 1 | no | — |
| 1310 | C22 | — | 2 | 1 | no | — |
| 1311 | C22 | — | 2 | 1 | no | — |
| 1312 | C22 | — | 2 | 1 | no | — |
| 1313 | C22 | — | 2 | 4 | no | — |
| 1314 | C22 | — | 2 | 2 | no | — |
| 1315 | C22 | — | 2 | 1 | no | — |
| 1316 | C22 | — | 2 | 1 | no | — |
| 1317 | C22 | — | 4 | 4 | no | — |
| 1318 | C22 | — | 4 | 8 | no | — |
| 1319 | C22 | — | 4 | 2 | no | — |
| 1320 | C22 | — | 4 | 1 | no | — |
| 1321 | C22 | — | 4 | 2 | no | — |
| 1322 | C22 | — | 4 | 1 | no | — |
| 1323 | C22 | — | 4 | 1 | no | — |
| 1324 | C22 | — | 4 | 1 | no | — |
| 1325 | C22 | — | 4 | 1 | no | — |
| 1326 | C22 | — | 4 | 1 | no | — |
| 1327 | C22 | — | 4 | 1 | no | — |
| 1328 | C22 | — | 4 | 1 | no | — |
| 1329 | C22 | — | 8 | 4 | no | — |
| 1330 | C22 | — | 8 | 1 | no | — |
| 1331 | C22 | — | 8 | 1 | no | — |
| 1332 | C22 | — | 8 | 1 | no | — |
| 1333 | C22 | — | 8 | 1 | no | — |
| 1334 | C22 | — | 8 | 1 | no | — |
| 1335 | C22 | — | 8 | 1 | no | — |
| 1336 | C22 | — | 16 | 2 | no | — |
| 1337 | C22 | — | 16 | 2 | no | — |
| 1338 | C22 | — | 32 | 2 | no | — |
| 1339 | C22 | #3288 | 1 | 2 | yes | — |
| 1340 | C22 | C2×D42 | 1 | 1 | yes | characteristic |
| 1341 | C22 | #3490 | 1 | 2 | yes | — |
| 1342 | C4 | — | 2 | 1 | no | — |
| 1343 | C4 | — | 2 | 4 | no | — |
| 1344 | C4 | — | 2 | 1 | no | — |
| 1345 | C4 | — | 2 | 2 | no | — |
| 1346 | C4 | — | 4 | 1 | no | — |
| 1347 | C4 | — | 4 | 4 | no | — |
| 1348 | C4 | — | 4 | 1 | no | — |
| 1349 | C4 | — | 4 | 1 | no | — |
| 1350 | C4 | — | 4 | 1 | no | — |
| 1351 | C4 | — | 4 | 1 | no | — |
| 1352 | C4 | — | 4 | 1 | no | — |
| 1353 | C4 | — | 4 | 1 | no | — |
| 1354 | C4 | — | 4 | 1 | no | — |
| 1355 | C4 | — | 8 | 2 | no | — |
| 1356 | C4 | — | 8 | 2 | no | — |
| 1357 | C4 | — | 8 | 1 | no | — |
| 1358 | C4 | — | 8 | 1 | no | — |
| 1359 | C4 | C2×#525 | 1 | 1 | yes | characteristic |
| 1360 | C4 | C2×#546 | 1 | 2 | yes | — |
| 1361 | C4 | #3484 | 1 | 1 | yes | characteristic |
| 1362 | C2 | — | 2 | 2 | no | — |
| 1363 | C2 | — | 2 | 2 | no | — |
| 1364 | C2 | — | 4 | 1 | no | — |
| 1365 | C2 | — | 4 | 4 | no | — |
| 1366 | C2 | — | 4 | 2 | no | — |
| 1367 | C2 | — | 8 | 1 | no | — |
| 1368 | C2 | — | 8 | 1 | no | — |
| 1369 | C2 | — | 16 | 1 | no | — |
| 1370 | C2 | — | 16 | 1 | no | — |
| 1371 | C2 | #36098 | 1 | 1 | yes | characteristic |
| 1372 | C2 | C2×#3288 | 1 | 1 | yes | characteristic |
| 1373 | C2 | #61108 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, socle | C22 | C2×D42 |
| commutator, Frattini, cosocle | C22×C4 | C25 |
| LCS | G ▷ C22×C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C22 ◁ C23×C4 ◁ G | |
| LECS | G ▷ C22×C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #61171 | C2 | semidirect |
| 2. #60584 | C2 | semidirect |
| 3. #60374 | C2 | semidirect |
| 4. C2×#2898 | C2 | semidirect |
| 5. #32996 | C2 | semidirect |
| 6. #32942 | C2 | semidirect |
| 7. #32889 | C2 | semidirect |
| 8. #28346 | C2 | semidirect |
| 9. #28135 | C2 | semidirect |
| 10. #27291 | C2 | semidirect |
| 11. #25987 | C2 | semidirect |
| 12. #25193 | C2 | semidirect |
| 13. #25185 | C2 | semidirect |
| 14. #24931 | C2 | semidirect |
| 15. #24570 | C2 | semidirect |
| 16. #24523 | C2 | semidirect |
| 17. #24460 | C2 | semidirect |
| 18. #24026 | C2 | semidirect |
| 19. #23955 | C2 | semidirect |
| 20. #22893 | C2 | semidirect |
| 21. #22586 | C2 | semidirect |
| 22. #22464 | C2 | semidirect |
| 23. #21467 | C2 | semidirect |
| 26. C22×#131 | C22 | semidirect |
| 29. C2×#520 | C22 | semidirect |
| 38. #3136 | C22 | semidirect |
| 45. #3098 | C22 | semidirect |
| 48. C2×#480 | C22 | semidirect |
| 49. #3083 | C22 | semidirect |
| 50. #3083 | C22 | semidirect |
| 51. C2×#472 | C22 | semidirect |
| 52. #3062 | C22 | semidirect |
| 54. #3045 | C22 | semidirect |
| 55. #3041 | C22 | semidirect |
| 57. C2×#454 | C22 | semidirect |
| 62. #3008 | C22 | semidirect |
| 66. #3006 | C22 | semidirect |
| 73. C2×#444 | C22 | semidirect |
| 74. #2951 | C22 | semidirect |
| 75. #2946 | C22 | semidirect |
| 76. #2946 | C22 | semidirect |
| 78. #2924 | C22 | semidirect |
| 86. #2898 | C22 | semidirect |
| 87. #2898 | C22 | semidirect |
| 88. #2897 | C22 | semidirect |
| 92. C2×#419 | C22 | semidirect |
| 96. C22×#103 | C22 | semidirect |
| 99. #2436 | C22 | semidirect |
| 100. #2095 | C22 | semidirect |
| 101. #2078 | C22 | semidirect |
| 102. #2064 | C22 | semidirect |
| 103. #2064 | C22 | semidirect |
| 104. #2052 | C22 | semidirect |
| 105. #2051 | C22 | semidirect |
| 106. #2046 | C22 | semidirect |
| 107. #2039 | C22 | semidirect |
| 108. #2037 | C22 | semidirect |
| 109. #2028 | C22 | semidirect |
| 110. #2012 | C22 | semidirect |
| 111. #2004 | C22 | semidirect |
| 112. #1977 | C22 | semidirect |
| 113. #1973 | C22 | semidirect |
| 114. #1959 | C22 | semidirect |
| 115. #1938 | C22 | semidirect |
| 116. #1930 | C22 | semidirect |
| 117. #1930 | C22 | semidirect |
| 118. #1929 | C22 | semidirect |
| 119. #1908 | C22 | semidirect |
| 120. #1907 | C22 | semidirect |
| 121. #1907 | C22 | semidirect |
| 122. #1907 | C22 | semidirect |
| 124. #1900 | C22 | semidirect |
| 125. #1885 | C22 | semidirect |
| 126. #1883 | C22 | semidirect |
| 127. #1883 | C22 | semidirect |
| 128. #1882 | C22 | semidirect |
| 129. #1876 | C22 | semidirect |
| 131. #1866 | C22 | semidirect |
| 132. #1866 | C22 | semidirect |
| 133. #1859 | C22 | semidirect |
| 134. #1859 | C22 | semidirect |
| 135. #1859 | C22 | semidirect |
| 136. #1855 | C22 | semidirect |
| 137. #1826 | C22 | semidirect |
| 138. #1821 | C22 | semidirect |
| 139. #1816 | C22 | semidirect |
| 140. #1816 | C22 | semidirect |
| 141. #1810 | C22 | semidirect |
| 143. #1793 | C22 | semidirect |
| 144. #1792 | C22 | semidirect |
| 146. #1789 | C22 | semidirect |
| 147. #1784 | C22 | semidirect |
| 148. #1765 | C22 | semidirect |
| 149. #1765 | C22 | semidirect |
| 150. #1752 | C22 | semidirect |
| 467. 2−1+4 | #41 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #61171 | 2 |
| #60584 | 2 |
| #60374 | 2 |
| C2×#2898 | 2 |
| #32996 | 2 |
| #32942 | 2 |
| #32889 | 2 |
| #28346 | 2 |
| #28135 | 2 |
| #27291 | 2 |
| #25987 | 2 |
| #25193 | 2 |
| #25185 | 2 |
| #24931 | 2 |
| #24570 | 2 |
| #24523 | 2 |
| #24460 | 2 |
| #24026 | 2 |
| #23955 | 2 |
| #22893 | 2 |
| #22586 | 2 |
| #22464 | 2 |
| #21467 | 2 |