Finite Group DatabasebetaFinite Group DatabasebetaOrder 512.
6731 conjugacy classes of subgroups.
The subgroup lattice has 1260 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #63010 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #63001 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #61423 | C2 | 1 | 6 | yes | maximal, complemented |
| 4 | #61422 | C2 | 1 | 3 | yes | maximal, complemented |
| 5 | #61421 | C2 | 1 | 3 | yes | maximal, complemented |
| 6 | #61420 | C2 | 1 | 6 | yes | maximal, complemented |
| 7 | #61418 | C2 | 1 | 6 | yes | maximal, complemented |
| 8 | #61415 | C2 | 1 | 6 | yes | maximal, complemented |
| 9 | #61410 | C2 | 1 | 3 | yes | maximal, complemented |
| 10 | #61408 | C2 | 1 | 3 | yes | maximal, complemented |
| 11 | #61405 | C2 | 1 | 3 | yes | maximal, complemented |
| 12 | #61404 | C2 | 1 | 3 | yes | maximal, complemented |
| 13 | #61401 | C2 | 1 | 3 | yes | maximal, complemented |
| 14 | C2×#3400 | C2 | 1 | 3 | yes | maximal, complemented |
| 15 | #60651 | C2 | 1 | 2 | yes | maximal, complemented |
| 16 | #60646 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 17 | #60433 | C2 | 1 | 2 | yes | maximal, complemented |
| 18 | #60432 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 19 | #60431 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 20 | #60429 | C2 | 1 | 2 | yes | maximal, complemented |
| 21 | #60195 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 22 | #60174 | C2 | 1 | 2 | yes | maximal, complemented |
| 23 | C4×#578 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 24 | C2×#578 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×#578 | C22 | 1 | 2 | yes | — |
| 26 | C2×#577 | C22 | 1 | 2 | yes | — |
| 27 | C2×#577 | C22 | 1 | 2 | yes | — |
| 28 | C2×#577 | C22 | 1 | 2 | yes | — |
| 29 | #3524 | — | 2 | 2 | no | — |
| 30 | #3523 | — | 2 | 1 | no | — |
| 31 | #3523 | — | 2 | 2 | no | — |
| 32 | #3522 | — | 2 | 1 | no | — |
| 33 | #3515 | — | 2 | 3 | no | — |
| 34 | #3515 | — | 2 | 6 | no | — |
| 35 | #3514 | — | 2 | 3 | no | — |
| 36 | #3513 | — | 2 | 6 | no | — |
| 37 | #3510 | C22 | 1 | 6 | yes | — |
| 38 | #3509 | C22 | 1 | 3 | yes | complemented |
| 39 | #3509 | C22 | 1 | 6 | yes | complemented |
| 40 | #3508 | C22 | 1 | 3 | yes | — |
| 41 | #3507 | C22 | 1 | 3 | yes | — |
| 42 | #3507 | C22 | 1 | 3 | yes | complemented |
| 43 | #3507 | C22 | 1 | 6 | yes | complemented |
| 44 | #3506 | C22 | 1 | 6 | yes | — |
| 45 | #3500 | C22 | 1 | 2 | yes | — |
| 46 | #3499 | C22 | 1 | 2 | yes | — |
| 47 | #3499 | C22 | 1 | 1 | yes | characteristic |
| 48 | #3498 | C22 | 1 | 1 | yes | characteristic |
| 49 | #3482 | — | 2 | 3 | no | — |
| 50 | #3481 | — | 2 | 3 | no | — |
| 51 | #3480 | — | 2 | 1 | no | — |
| 52 | #3480 | C22 | 1 | 3 | yes | — |
| 53 | #3480 | C22 | 1 | 3 | yes | complemented |
| 54 | C2×#559 | C22 | 1 | 3 | yes | — |
| 55 | Q8×#41 | — | 2 | 1 | no | — |
| 56 | Q8×#41 | C22 | 1 | 1 | yes | characteristic |
| 57 | C2×#557 | C22 | 1 | 3 | yes | complemented |
| 58 | C4×2−1+4 | C22 | 1 | 1 | yes | characteristic |
| 59 | C4×2−1+4 | C22 | 1 | 1 | yes | characteristic |
| 60 | C4×2−1+4 | C22 | 1 | 2 | yes | — |
| 61 | C4×H(5,𝔽2) | C22 | 1 | 2 | yes | — |
| 62 | #3403 | C22 | 1 | 6 | yes | complemented |
| 63 | #3403 | C22 | 1 | 12 | yes | complemented |
| 64 | #3402 | C22 | 1 | 6 | yes | complemented |
| 65 | #3402 | C22 | 1 | 12 | yes | complemented |
| 66 | #3402 | C22 | 1 | 12 | yes | complemented |
| 67 | #3401 | C22 | 1 | 6 | yes | complemented |
| 68 | #3401 | C22 | 1 | 6 | yes | complemented |
| 69 | #3401 | C22 | 1 | 12 | yes | complemented |
| 70 | #3401 | C22 | 1 | 12 | yes | complemented |
| 71 | #3400 | C22 | 1 | 3 | yes | complemented |
| 72 | #3400 | C22 | 1 | 6 | yes | complemented |
| 73 | #3400 | C22 | 1 | 6 | yes | complemented |
| 74 | #3400 | C22 | 1 | 12 | yes | complemented |
| 75 | #3400 | C22 | 1 | 12 | yes | complemented |
| 76 | #3400 | C22 | 1 | 6 | yes | complemented |
| 77 | #3400 | C22 | 1 | 3 | yes | complemented |
| 78 | #3400 | C22 | 1 | 12 | yes | complemented |
| 79 | #3400 | C22 | 1 | 6 | yes | complemented |
| 80 | #3399 | C22 | 1 | 3 | yes | complemented |
| 81 | #3399 | C22 | 1 | 3 | yes | complemented |
| 82 | #3398 | C22 | 1 | 3 | yes | complemented |
| 83 | #3398 | C22 | 1 | 3 | yes | complemented |
| 84 | #3398 | C22 | 1 | 12 | yes | complemented |
| 85 | #3398 | C22 | 1 | 12 | yes | complemented |
| 86 | #3397 | C22 | 1 | 1 | yes | characteristic, complemented |
| 87 | #3397 | C22 | 1 | 3 | yes | complemented |
| 88 | #3397 | C22 | 1 | 6 | yes | complemented |
| 89 | #3397 | C22 | 1 | 12 | yes | complemented |
| 90 | #3396 | C22 | 1 | 6 | yes | complemented |
| 91 | #3395 | C22 | 1 | 6 | yes | complemented |
| 92 | #3394 | C22 | 1 | 6 | yes | complemented |
| 93 | #3394 | C22 | 1 | 6 | yes | complemented |
| 94 | #3393 | C22 | 1 | 12 | yes | complemented |
| 95 | #3392 | C22 | 1 | 6 | yes | complemented |
| 96 | #3392 | C22 | 1 | 6 | yes | complemented |
| 97 | #3156 | C22 | 1 | 6 | yes | complemented |
| 98 | #3156 | C22 | 1 | 6 | yes | complemented |
| 99 | #3154 | C22 | 1 | 6 | yes | — |
| 100 | #3154 | C22 | 1 | 6 | yes | — |
| 101 | #3154 | C22 | 1 | 6 | yes | complemented |
| 102 | #3154 | C22 | 1 | 6 | yes | complemented |
| 103 | #3153 | C22 | 1 | 6 | yes | complemented |
| 104 | #3152 | C22 | 1 | 3 | yes | — |
| 105 | #3152 | C22 | 1 | 6 | yes | complemented |
| 106 | #3151 | C22 | 1 | 3 | yes | — |
| 107 | #3150 | C22 | 1 | 6 | yes | complemented |
| 108 | C2×#497 | C22 | 1 | 6 | yes | complemented |
| 109 | #3147 | C22 | 1 | 3 | yes | — |
| 110 | C2×#492 | C22 | 1 | 3 | yes | — |
| 111 | #3046 | C22 | 1 | 6 | yes | complemented |
| 112 | #3046 | C22 | 1 | 6 | yes | complemented |
| 113 | #3046 | C22 | 1 | 6 | yes | complemented |
| 114 | #3046 | C22 | 1 | 6 | yes | complemented |
| 115 | #3045 | C22 | 1 | 6 | yes | — |
| 116 | #3045 | C22 | 1 | 6 | yes | complemented |
| 117 | #3044 | C22 | 1 | 6 | yes | complemented |
| 118 | #3044 | C22 | 1 | 6 | yes | complemented |
| 119 | #3043 | C22 | 1 | 6 | yes | — |
| 120 | #3043 | C22 | 1 | 6 | yes | complemented |
| 121 | #3042 | C22 | 1 | 6 | yes | complemented |
| 122 | #3042 | C22 | 1 | 6 | yes | complemented |
| 123 | #3040 | C22 | 1 | 6 | yes | complemented |
| 124 | #3039 | C22 | 1 | 6 | yes | complemented |
| 125 | #3039 | C22 | 1 | 3 | yes | complemented |
| 126 | #3038 | C22 | 1 | 3 | yes | — |
| 127 | #3037 | C22 | 1 | 3 | yes | — |
| 128 | #3037 | C22 | 1 | 3 | yes | complemented |
| 129 | #3037 | C22 | 1 | 6 | yes | complemented |
| 130 | #3036 | C22 | 1 | 6 | yes | complemented |
| 131 | #3035 | C22 | 1 | 3 | yes | — |
| 132 | #3035 | C22 | 1 | 6 | yes | complemented |
| 133 | #3035 | C22 | 1 | 3 | yes | complemented |
| 134 | #3035 | C22 | 1 | 6 | yes | complemented |
| 135 | C2×#464 | C22 | 1 | 6 | yes | complemented |
| 136 | C2×#462 | C22 | 1 | 3 | yes | complemented |
| 137 | C2×#460 | C22 | 1 | 3 | yes | — |
| 138 | C2×#461 | C22 | 1 | 6 | yes | complemented |
| 139 | Q8×M16 | C22 | 1 | 3 | yes | complemented |
| 140 | #2962 | C22 | 1 | 6 | yes | complemented |
| 141 | #2962 | C22 | 1 | 3 | yes | complemented |
| 142 | #2961 | C22 | 1 | 6 | yes | complemented |
| 143 | #2960 | C22 | 1 | 3 | yes | complemented |
| 144 | C2×#446 | C22 | 1 | 3 | yes | complemented |
| 145 | #2951 | C22 | 1 | 3 | yes | complemented |
| 146 | #2951 | C22 | 1 | 6 | yes | complemented |
| 147 | #2950 | C22 | 1 | 3 | yes | complemented |
| 148 | #2949 | C22 | 1 | 6 | yes | complemented |
| 149 | #2947 | C22 | 1 | 3 | yes | complemented |
| 150 | #2947 | C22 | 1 | 3 | yes | complemented |
| 151 | #2947 | C22 | 1 | 6 | yes | complemented |
| 152 | #2946 | C22 | 1 | 6 | yes | complemented |
| 153 | C4×#137 | C22 | 1 | 3 | yes | complemented |
| 154 | C4×#137 | C22 | 1 | 3 | yes | complemented |
| 155 | C4×#137 | C22 | 1 | 6 | yes | complemented |
| 156 | C4×AGL(1,ℤ/8) | C22 | 1 | 6 | yes | complemented |
| 157 | #2943 | C22 | 1 | 6 | yes | complemented |
| 158 | C2×#440 | C22 | 1 | 6 | yes | complemented |
| 159 | C4×#135 | C22 | 1 | 3 | yes | complemented |
| 160 | C2×C4×Q16 | C22 | 1 | 3 | yes | complemented |
| 161 | #2913 | C22 | 1 | 1 | yes | characteristic |
| 162 | #2906 | C22 | 1 | 2 | yes | — |
| 163 | #2906 | C22 | 1 | 1 | yes | characteristic |
| 164 | #2898 | C22 | 1 | 1 | yes | characteristic |
| 165 | #2898 | C22 | 1 | 1 | yes | characteristic |
| 166 | #2898 | C22 | 1 | 2 | yes | — |
| 167 | #2897 | C22 | 1 | 2 | yes | — |
| 168 | #2875 | C22 | 1 | 2 | yes | — |
| 169 | C4×#131 | C22 | 1 | 1 | yes | characteristic |
| 170 | C2×2−1+4 | C23 | 1 | 2 | yes | — |
| 171 | C2×2−1+4 | C23 | 1 | 1 | yes | characteristic |
| 172 | C2×2−1+4 | C23 | 1 | 1 | yes | characteristic |
| 173 | C2×H(5,𝔽2) | C23 | 1 | 2 | yes | — |
| 174 | #578 | — | 2 | 8 | no | — |
| 175 | #578 | — | 4 | 8 | no | — |
| 176 | #577 | — | 2 | 16 | no | — |
| 177 | #577 | — | 4 | 8 | no | — |
| 178 | #577 | — | 4 | 8 | no | — |
| 179 | C2×#137 | C23 | 1 | 6 | yes | — |
| 180 | C2×#137 | C23 | 1 | 3 | yes | — |
| 181 | C2×#137 | C23 | 1 | 3 | yes | — |
| 182 | C2×#137 | C23 | 1 | 6 | yes | — |
| 183 | C2×#137 | C23 | 1 | 6 | yes | — |
| 184 | C2×#137 | C23 | 1 | 6 | yes | — |
| 185 | C2×#137 | C23 | 1 | 6 | yes | — |
| 186 | C2×AGL(1,ℤ/8) | C23 | 1 | 6 | yes | — |
| 187 | C2×AGL(1,ℤ/8) | C23 | 1 | 6 | yes | — |
| 188 | C2×AGL(1,ℤ/8) | C23 | 1 | 6 | yes | — |
| 189 | C2×#135 | C23 | 1 | 6 | yes | — |
| 190 | C2×#135 | C23 | 1 | 3 | yes | — |
| 191 | C2×#135 | C23 | 1 | 6 | yes | — |
| 192 | C2×#135 | C23 | 1 | 6 | yes | — |
| 193 | C2×#135 | C23 | 1 | 6 | yes | — |
| 194 | C22×Q16 | C23 | 1 | 3 | yes | — |
| 195 | C22×Q16 | C23 | 1 | 6 | yes | — |
| 196 | C22×SD16 | C23 | 1 | 6 | yes | — |
| 197 | C22×SD16 | C23 | 1 | 6 | yes | — |
| 198 | C22×SD16 | C23 | 1 | 6 | yes | — |
| 199 | C2×#131 | C23 | 1 | 1 | yes | characteristic |
| 200 | C2×#131 | C23 | 1 | 2 | yes | — |
| 201 | C2×#131 | C23 | 1 | 1 | yes | characteristic |
| 202 | #559 | — | 2 | 3 | no | — |
| 203 | #559 | — | 2 | 6 | no | — |
| 204 | #559 | — | 2 | 3 | no | — |
| 205 | #559 | C23 | 1 | 6 | yes | — |
| 206 | #559 | C23 | 1 | 6 | yes | — |
| 207 | #559 | C23 | 1 | 3 | yes | — |
| 208 | #559 | C23 | 1 | 3 | yes | — |
| 209 | #559 | C23 | 1 | 12 | yes | — |
| 210 | #559 | C23 | 1 | 6 | yes | — |
| 211 | #559 | C23 | 1 | 6 | yes | — |
| 212 | Q82 | D4 | 1 | 1 | yes | characteristic |
| 213 | #557 | — | 2 | 3 | no | — |
| 214 | #557 | — | 2 | 3 | no | — |
| 215 | #557 | — | 2 | 6 | no | — |
| 216 | #557 | D4 | 1 | 1 | yes | characteristic |
| 217 | #557 | D4 | 1 | 2 | yes | — |
| 218 | #557 | C23 | 1 | 6 | yes | — |
| 219 | #557 | C23 | 1 | 6 | yes | — |
| 220 | #557 | C23 | 1 | 3 | yes | — |
| 221 | #557 | C23 | 1 | 3 | yes | — |
| 222 | #557 | C23 | 1 | 12 | yes | — |
| 223 | #556 | — | 2 | 3 | no | — |
| 224 | #556 | — | 2 | 3 | no | — |
| 225 | #556 | — | 2 | 6 | no | — |
| 226 | #556 | C23 | 1 | 12 | yes | — |
| 227 | #556 | C23 | 1 | 12 | yes | — |
| 228 | #556 | C23 | 1 | 3 | yes | — |
| 229 | #556 | C23 | 1 | 6 | yes | — |
| 230 | #556 | C23 | 1 | 1 | yes | characteristic |
| 231 | #556 | C23 | 1 | 6 | yes | — |
| 232 | #556 | C23 | 1 | 6 | yes | — |
| 233 | #555 | — | 2 | 6 | no | — |
| 234 | #554 | — | 2 | 3 | no | — |
| 235 | #554 | — | 2 | 6 | no | — |
| 236 | #554 | — | 2 | 3 | no | — |
| 237 | #554 | D4 | 1 | 3 | yes | — |
| 238 | #554 | D4 | 1 | 6 | yes | — |
| 239 | #553 | — | 2 | 6 | no | — |
| 240 | #553 | — | 2 | 6 | no | — |
| 241 | #553 | — | 2 | 3 | no | — |
| 242 | #553 | — | 2 | 6 | no | — |
| 243 | #553 | — | 2 | 3 | no | — |
| 244 | #553 | — | 2 | 6 | no | — |
| 245 | #552 | — | 2 | 6 | no | — |
| 246 | #552 | — | 2 | 6 | no | — |
| 247 | #552 | — | 2 | 6 | no | — |
| 248 | #552 | — | 2 | 6 | no | — |
| 249 | #552 | — | 2 | 6 | no | — |
| 250 | #552 | — | 2 | 12 | no | — |
| 251 | #552 | — | 2 | 12 | no | — |
| 252 | #552 | — | 2 | 6 | no | — |
| 253 | #551 | — | 2 | 12 | no | — |
| 254 | #551 | — | 2 | 12 | no | — |
| 255 | #550 | — | 2 | 1 | no | — |
| 256 | #550 | — | 2 | 1 | no | — |
| 257 | #550 | C23 | 1 | 3 | yes | — |
| 258 | #550 | C23 | 1 | 6 | yes | — |
| 259 | #550 | C23 | 1 | 1 | yes | characteristic |
| 260 | D4×Q8 | — | 2 | 1 | no | — |
| 261 | D4×Q8 | — | 2 | 2 | no | — |
| 262 | D4×Q8 | — | 2 | 2 | no | — |
| 263 | D4×Q8 | — | 2 | 1 | no | — |
| 264 | D4×Q8 | D4 | 1 | 3 | yes | — |
| 265 | #548 | — | 2 | 3 | no | — |
| 266 | #548 | — | 2 | 3 | no | — |
| 267 | #548 | — | 2 | 2 | no | — |
| 268 | #548 | — | 2 | 2 | no | — |
| 269 | #547 | — | 2 | 6 | no | — |
| 270 | #547 | — | 2 | 3 | no | — |
| 271 | #547 | — | 2 | 6 | no | — |
| 272 | #547 | — | 2 | 6 | no | — |
| 273 | #547 | — | 2 | 3 | no | — |
| 274 | #546 | — | 2 | 6 | no | — |
| 275 | #546 | — | 2 | 6 | no | — |
| 276 | #546 | — | 2 | 6 | no | — |
| 277 | #546 | — | 2 | 6 | no | — |
| 278 | D42 | — | 2 | 3 | no | — |
| 279 | D42 | — | 2 | 3 | no | — |
| 280 | #542 | — | 2 | 6 | no | — |
| 281 | #542 | — | 2 | 6 | no | — |
| 282 | #541 | — | 2 | 6 | no | — |
| 283 | #541 | — | 2 | 6 | no | — |
| 284 | #541 | — | 2 | 6 | no | — |
| 285 | #540 | — | 2 | 6 | no | — |
| 286 | #539 | — | 2 | 6 | no | — |
| 287 | #539 | — | 2 | 12 | no | — |
| 288 | #539 | — | 2 | 6 | no | — |
| 289 | #538 | — | 2 | 12 | no | — |
| 290 | #536 | C23 | 1 | 6 | yes | — |
| 291 | #536 | C23 | 1 | 6 | yes | — |
| 292 | #536 | C23 | 1 | 6 | yes | — |
| 293 | #536 | C23 | 1 | 6 | yes | — |
| 294 | #535 | C23 | 1 | 6 | yes | — |
| 295 | #535 | C23 | 1 | 6 | yes | — |
| 296 | #533 | — | 2 | 3 | no | — |
| 297 | #533 | — | 2 | 6 | no | — |
| 298 | #533 | — | 2 | 3 | no | — |
| 299 | #533 | — | 2 | 6 | no | — |
| 300 | #533 | C23 | 1 | 3 | yes | — |
| 301 | #533 | C23 | 1 | 6 | yes | — |
| 302 | #532 | — | 2 | 3 | no | — |
| 303 | #532 | — | 2 | 3 | no | — |
| 304 | #532 | C23 | 1 | 3 | yes | — |
| 305 | #532 | C23 | 1 | 3 | yes | — |
| 306 | #532 | C23 | 1 | 6 | yes | — |
| 307 | #532 | C23 | 1 | 6 | yes | — |
| 308 | C2×C4⋊Q8 | C23 | 1 | 3 | yes | — |
| 309 | C2×C4⋊Q8 | C23 | 1 | 6 | yes | — |
| 310 | C2×#127 | C23 | 1 | 3 | yes | — |
| 311 | #529 | — | 2 | 6 | no | — |
| 312 | #529 | — | 2 | 6 | no | — |
| 313 | #529 | — | 2 | 6 | no | — |
| 314 | #529 | — | 2 | 6 | no | — |
| 315 | #529 | — | 2 | 12 | no | — |
| 316 | #529 | — | 2 | 6 | no | — |
| 317 | #529 | — | 2 | 3 | no | — |
| 318 | #529 | — | 2 | 3 | no | — |
| 319 | #529 | — | 2 | 6 | no | — |
| 320 | C2×#125 | — | 2 | 3 | no | — |
| 321 | C2×#125 | — | 2 | 6 | no | — |
| 322 | C2×#124 | — | 2 | 3 | no | — |
| 323 | C2×#124 | C23 | 1 | 6 | yes | — |
| 324 | #525 | — | 2 | 12 | no | — |
| 325 | C2×#123 | — | 2 | 6 | no | — |
| 326 | #520 | — | 2 | 2 | no | — |
| 327 | #520 | — | 2 | 3 | no | — |
| 328 | #520 | — | 2 | 6 | no | — |
| 329 | #520 | — | 2 | 3 | no | — |
| 330 | #520 | C23 | 1 | 6 | yes | — |
| 331 | #520 | C23 | 1 | 6 | yes | — |
| 332 | #520 | C23 | 1 | 3 | yes | — |
| 333 | #520 | C23 | 1 | 3 | yes | — |
| 334 | #520 | C23 | 1 | 1 | yes | characteristic |
| 335 | #520 | C23 | 1 | 1 | yes | characteristic |
| 336 | #519 | — | 2 | 2 | no | — |
| 337 | #519 | — | 2 | 1 | no | — |
| 338 | #519 | — | 2 | 1 | no | — |
| 339 | #519 | C23 | 1 | 6 | yes | — |
| 340 | #519 | C23 | 1 | 3 | yes | — |
| 341 | #519 | C23 | 1 | 3 | yes | — |
| 342 | #518 | — | 2 | 6 | no | — |
| 343 | #518 | C23 | 1 | 6 | yes | — |
| 344 | C4×#41 | — | 2 | 2 | no | — |
| 345 | C4×#41 | — | 2 | 3 | no | — |
| 346 | C4×#41 | — | 2 | 3 | no | — |
| 347 | C4×#41 | — | 2 | 3 | no | — |
| 348 | C4×#41 | — | 2 | 3 | no | — |
| 349 | C4×#41 | — | 2 | 6 | no | — |
| 350 | C4×#41 | C23 | 1 | 6 | yes | — |
| 351 | C4×#41 | C23 | 1 | 3 | yes | — |
| 352 | C4×#41 | C23 | 1 | 3 | yes | — |
| 353 | C4×#41 | C23 | 1 | 6 | yes | — |
| 354 | C4×#41 | C23 | 1 | 1 | yes | characteristic |
| 355 | C4×#41 | C23 | 1 | 2 | yes | — |
| 356 | C2×C4×Q8 | — | 2 | 3 | no | — |
| 357 | C2×C4×Q8 | — | 2 | 1 | no | — |
| 358 | C2×C4×Q8 | — | 2 | 2 | no | — |
| 359 | C2×C4×Q8 | — | 2 | 1 | no | — |
| 360 | C2×C4×Q8 | C23 | 1 | 3 | yes | — |
| 361 | C2×C4×Q8 | C23 | 1 | 3 | yes | — |
| 362 | C2×C4×Q8 | C23 | 1 | 6 | yes | — |
| 363 | C2×C4×Q8 | C23 | 1 | 3 | yes | — |
| 364 | C2×C4×D4 | — | 2 | 6 | no | — |
| 365 | C2×C4×D4 | — | 2 | 3 | no | — |
| 366 | C2×C4×D4 | C23 | 1 | 6 | yes | — |
| 367 | #497 | C23 | 1 | 12 | yes | — |
| 368 | #497 | C23 | 1 | 12 | yes | — |
| 369 | #497 | C23 | 1 | 12 | yes | — |
| 370 | #497 | C23 | 1 | 6 | yes | — |
| 371 | #497 | C23 | 1 | 6 | yes | — |
| 372 | #497 | C23 | 1 | 6 | yes | — |
| 373 | #497 | C23 | 1 | 12 | yes | — |
| 374 | #497 | C23 | 1 | 6 | yes | — |
| 375 | #496 | C23 | 1 | 6 | yes | — |
| 376 | #496 | C23 | 1 | 6 | yes | — |
| 377 | #496 | C23 | 1 | 12 | yes | — |
| 378 | #496 | C23 | 1 | 2 | yes | — |
| 379 | #496 | C23 | 1 | 6 | yes | — |
| 380 | #495 | C23 | 1 | 6 | yes | — |
| 381 | #495 | C23 | 1 | 12 | yes | — |
| 382 | #495 | C23 | 1 | 12 | yes | — |
| 383 | #495 | C23 | 1 | 6 | yes | — |
| 384 | #494 | C23 | 1 | 12 | yes | — |
| 385 | #494 | C23 | 1 | 3 | yes | — |
| 386 | #493 | C23 | 1 | 3 | yes | — |
| 387 | #492 | C23 | 1 | 12 | yes | — |
| 388 | #492 | C23 | 1 | 6 | yes | — |
| 389 | #492 | C23 | 1 | 6 | yes | — |
| 390 | #492 | C23 | 1 | 3 | yes | — |
| 391 | #492 | C23 | 1 | 6 | yes | — |
| 392 | #492 | C23 | 1 | 1 | yes | characteristic |
| 393 | #464 | C23 | 1 | 6 | yes | — |
| 394 | #464 | C23 | 1 | 12 | yes | — |
| 395 | #464 | C23 | 1 | 12 | yes | — |
| 396 | #464 | C23 | 1 | 12 | yes | — |
| 397 | #464 | C23 | 1 | 12 | yes | — |
| 398 | #464 | C23 | 1 | 6 | yes | — |
| 399 | #464 | C23 | 1 | 12 | yes | — |
| 400 | #464 | C23 | 1 | 6 | yes | — |
| 401 | #464 | C23 | 1 | 6 | yes | — |
| 402 | #464 | C23 | 1 | 6 | yes | — |
| 403 | #464 | C23 | 1 | 12 | yes | — |
| 404 | #464 | C23 | 1 | 6 | yes | — |
| 405 | #463 | C23 | 1 | 6 | yes | — |
| 406 | #463 | C23 | 1 | 12 | yes | — |
| 407 | #463 | C23 | 1 | 12 | yes | — |
| 408 | #463 | C23 | 1 | 12 | yes | — |
| 409 | #463 | C23 | 1 | 6 | yes | — |
| 410 | #463 | C23 | 1 | 2 | yes | — |
| 411 | #463 | C23 | 1 | 6 | yes | — |
| 412 | #463 | C23 | 1 | 6 | yes | — |
| 413 | #463 | C23 | 1 | 6 | yes | — |
| 414 | #462 | C23 | 1 | 6 | yes | — |
| 415 | #462 | C23 | 1 | 6 | yes | — |
| 416 | #462 | C23 | 1 | 3 | yes | — |
| 417 | #462 | C23 | 1 | 12 | yes | — |
| 418 | #462 | C23 | 1 | 12 | yes | — |
| 419 | #462 | C23 | 1 | 6 | yes | — |
| 420 | #462 | C23 | 1 | 6 | yes | — |
| 421 | #462 | C23 | 1 | 3 | yes | — |
| 422 | #462 | C23 | 1 | 12 | yes | — |
| 423 | #461 | C23 | 1 | 3 | yes | — |
| 424 | #461 | C23 | 1 | 12 | yes | — |
| 425 | #461 | C23 | 1 | 6 | yes | — |
| 426 | #461 | C23 | 1 | 12 | yes | — |
| 427 | #461 | C23 | 1 | 6 | yes | — |
| 428 | #461 | C23 | 1 | 1 | yes | characteristic |
| 429 | #461 | C23 | 1 | 12 | yes | — |
| 430 | #461 | C23 | 1 | 6 | yes | — |
| 431 | #461 | C23 | 1 | 12 | yes | — |
| 432 | #460 | C23 | 1 | 6 | yes | — |
| 433 | #460 | C23 | 1 | 6 | yes | — |
| 434 | #460 | C23 | 1 | 12 | yes | — |
| 435 | #460 | C23 | 1 | 6 | yes | — |
| 436 | #460 | C23 | 1 | 3 | yes | — |
| 437 | #460 | C23 | 1 | 12 | yes | — |
| 438 | #460 | C23 | 1 | 2 | yes | — |
| 439 | #460 | C23 | 1 | 3 | yes | — |
| 440 | #459 | C23 | 1 | 3 | yes | — |
| 441 | #459 | C23 | 1 | 6 | yes | — |
| 442 | #459 | C23 | 1 | 6 | yes | — |
| 443 | #459 | C23 | 1 | 1 | yes | characteristic |
| 444 | #459 | C23 | 1 | 6 | yes | — |
| 445 | #446 | C23 | 1 | 12 | yes | — |
| 446 | #446 | C23 | 1 | 1 | yes | characteristic |
| 447 | #446 | C23 | 1 | 3 | yes | — |
| 448 | #446 | C23 | 1 | 6 | yes | — |
| 449 | #446 | C23 | 1 | 3 | yes | — |
| 450 | #446 | C23 | 1 | 3 | yes | — |
| 451 | #446 | C23 | 1 | 12 | yes | — |
| 452 | #446 | C23 | 1 | 6 | yes | — |
| 453 | #446 | C23 | 1 | 6 | yes | — |
| 454 | C8×Q8 | C23 | 1 | 6 | yes | — |
| 455 | C8×Q8 | C23 | 1 | 6 | yes | — |
| 456 | #442 | C23 | 1 | 6 | yes | — |
| 457 | #442 | C23 | 1 | 6 | yes | — |
| 458 | #441 | C23 | 1 | 6 | yes | — |
| 459 | #441 | C23 | 1 | 6 | yes | — |
| 460 | #441 | C23 | 1 | 6 | yes | — |
| 461 | #441 | C23 | 1 | 6 | yes | — |
| 462 | #440 | C23 | 1 | 6 | yes | — |
| 463 | #440 | C23 | 1 | 12 | yes | — |
| 464 | #440 | C23 | 1 | 12 | yes | — |
| 465 | #440 | C23 | 1 | 6 | yes | — |
| 466 | #440 | C23 | 1 | 2 | yes | — |
| 467 | #440 | C23 | 1 | 6 | yes | — |
| 468 | #440 | C23 | 1 | 12 | yes | — |
| 469 | #440 | C23 | 1 | 6 | yes | — |
| 470 | #440 | C23 | 1 | 6 | yes | — |
| 471 | C4×Q16 | C23 | 1 | 6 | yes | — |
| 472 | C4×Q16 | C23 | 1 | 12 | yes | — |
| 473 | C4×Q16 | C23 | 1 | 6 | yes | — |
| 474 | C4×Q16 | C23 | 1 | 3 | yes | — |
| 475 | C4×Q16 | C23 | 1 | 6 | yes | — |
| 476 | C4×Q16 | C23 | 1 | 3 | yes | — |
| 477 | C4×SD16 | C23 | 1 | 3 | yes | — |
| 478 | C4×SD16 | C23 | 1 | 3 | yes | — |
| 479 | C4×SD16 | C23 | 1 | 12 | yes | — |
| 480 | C4×SD16 | C23 | 1 | 12 | yes | — |
| 481 | C4×SD16 | C23 | 1 | 3 | yes | — |
| 482 | C4×SD16 | C23 | 1 | 3 | yes | — |
| 483 | C4×D8 | C23 | 1 | 12 | yes | — |
| 484 | C4×D8 | C23 | 1 | 1 | yes | characteristic |
| 485 | C4×D8 | C23 | 1 | 3 | yes | — |
| 486 | #428 | C23 | 1 | 3 | yes | — |
| 487 | #428 | C23 | 1 | 3 | yes | — |
| 488 | #427 | C23 | 1 | 3 | yes | — |
| 489 | C2×#107 | C23 | 1 | 3 | yes | — |
| 490 | #424 | C23 | 1 | 6 | yes | — |
| 491 | #424 | C23 | 1 | 6 | yes | — |
| 492 | #424 | C23 | 1 | 6 | yes | — |
| 493 | #423 | C23 | 1 | 3 | yes | — |
| 494 | #423 | C23 | 1 | 6 | yes | — |
| 495 | C2×C4⋊C8 | C23 | 1 | 6 | yes | — |
| 496 | C2×C4⋊C8 | C23 | 1 | 3 | yes | — |
| 497 | #419 | C23 | 1 | 6 | yes | — |
| 498 | #419 | C23 | 1 | 3 | yes | — |
| 499 | #419 | C23 | 1 | 3 | yes | — |
| 500 | #418 | C23 | 1 | 6 | yes | — |
| 501 | #417 | C23 | 1 | 6 | yes | — |
| 502 | #417 | C23 | 1 | 6 | yes | — |
| 503 | #417 | C23 | 1 | 3 | yes | — |
| 504 | #417 | C23 | 1 | 3 | yes | — |
| 505 | #416 | C23 | 1 | 6 | yes | — |
| 506 | #416 | C23 | 1 | 3 | yes | — |
| 507 | #416 | C23 | 1 | 3 | yes | — |
| 508 | #416 | C23 | 1 | 6 | yes | — |
| 509 | C2×#103 | C23 | 1 | 3 | yes | — |
| 510 | C2×#103 | C23 | 1 | 3 | yes | — |
| 511 | C2×#103 | C23 | 1 | 6 | yes | — |
| 512 | C2×#102 | C23 | 1 | 6 | yes | — |
| 513 | #405 | C23 | 1 | 3 | yes | — |
| 514 | #405 | C23 | 1 | 3 | yes | — |
| 515 | #405 | C23 | 1 | 6 | yes | — |
| 516 | #405 | C23 | 1 | 6 | yes | — |
| 517 | C4×M16 | C23 | 1 | 3 | yes | — |
| 518 | C4×M16 | C23 | 1 | 6 | yes | — |
| 519 | C2×#97 | C23 | 1 | 6 | yes | — |
| 520 | C2×C4×C8 | C23 | 1 | 3 | yes | — |
| 521 | 2−1+4 | — | 2 | 8 | no | — |
| 522 | 2−1+4 | — | 2 | 4 | no | — |
| 523 | 2−1+4 | — | 2 | 4 | no | — |
| 524 | 2−1+4 | — | 2 | 4 | no | — |
| 525 | 2−1+4 | — | 2 | 8 | no | — |
| 526 | 2−1+4 | — | 2 | 4 | no | — |
| 527 | H(5,𝔽2) | — | 2 | 8 | no | — |
| 528 | H(5,𝔽2) | — | 2 | 8 | no | — |
| 529 | C2×#41 | — | 2 | 1 | no | — |
| 530 | C2×#41 | — | 2 | 2 | no | — |
| 531 | C2×#41 | — | 2 | 3 | no | — |
| 532 | C2×#41 | — | 2 | 6 | no | — |
| 533 | C2×#41 | — | 2 | 3 | no | — |
| 534 | C2×#41 | — | 2 | 6 | no | — |
| 535 | C2×#41 | — | 2 | 3 | no | — |
| 536 | C2×#41 | C24 | 1 | 3 | yes | — |
| 537 | C2×#41 | C24 | 1 | 6 | yes | — |
| 538 | C2×#41 | C24 | 1 | 6 | yes | — |
| 539 | C2×#41 | C24 | 1 | 3 | yes | — |
| 540 | C2×#41 | C24 | 1 | 1 | yes | characteristic |
| 541 | C22×Q8 | — | 2 | 1 | no | — |
| 542 | C22×Q8 | — | 2 | 2 | no | — |
| 543 | C22×Q8 | — | 2 | 1 | no | — |
| 544 | C22×Q8 | C2×D4 | 1 | 3 | yes | — |
| 545 | C22×Q8 | C24 | 1 | 3 | yes | — |
| 546 | C22×Q8 | C24 | 1 | 6 | yes | — |
| 547 | C22×Q8 | C24 | 1 | 3 | yes | — |
| 548 | C22×D4 | — | 2 | 6 | no | — |
| 549 | C22×D4 | — | 2 | 3 | no | — |
| 550 | C22×D4 | — | 2 | 3 | no | — |
| 551 | C22×D4 | C24 | 1 | 6 | yes | — |
| 552 | C23×C4 | — | 2 | 6 | no | — |
| 553 | #137 | — | 2 | 24 | no | — |
| 554 | #137 | — | 2 | 12 | no | — |
| 555 | #137 | — | 2 | 12 | no | — |
| 556 | #137 | — | 4 | 12 | no | — |
| 557 | #137 | — | 4 | 12 | no | — |
| 558 | #137 | — | 4 | 12 | no | — |
| 559 | #137 | — | 4 | 12 | no | — |
| 560 | AGL(1,ℤ/8) | — | 2 | 24 | no | — |
| 561 | AGL(1,ℤ/8) | — | 4 | 12 | no | — |
| 562 | AGL(1,ℤ/8) | — | 4 | 12 | no | — |
| 563 | #135 | — | 2 | 24 | no | — |
| 564 | #135 | — | 2 | 12 | no | — |
| 565 | #135 | — | 4 | 12 | no | — |
| 566 | #135 | — | 4 | 12 | no | — |
| 567 | #135 | — | 4 | 12 | no | — |
| 568 | C2×Q16 | — | 2 | 12 | no | — |
| 569 | C2×Q16 | — | 4 | 12 | no | — |
| 570 | C2×Q16 | C24 | 1 | 3 | yes | — |
| 571 | C2×Q16 | C24 | 1 | 6 | yes | — |
| 572 | C2×Q16 | C24 | 1 | 6 | yes | — |
| 573 | C2×Q16 | C24 | 1 | 6 | yes | — |
| 574 | C2×Q16 | C24 | 1 | 12 | yes | — |
| 575 | C2×Q16 | C24 | 1 | 6 | yes | — |
| 576 | C2×Q16 | C24 | 1 | 6 | yes | — |
| 577 | C2×SD16 | — | 2 | 24 | no | — |
| 578 | C2×SD16 | — | 4 | 12 | no | — |
| 579 | C2×SD16 | — | 4 | 12 | no | — |
| 580 | C2×SD16 | C24 | 1 | 6 | yes | — |
| 581 | C2×SD16 | C24 | 1 | 12 | yes | — |
| 582 | C2×SD16 | C24 | 1 | 2 | yes | — |
| 583 | C2×SD16 | C24 | 1 | 3 | yes | — |
| 584 | C2×SD16 | C24 | 1 | 3 | yes | — |
| 585 | C2×SD16 | C24 | 1 | 6 | yes | — |
| 586 | C2×SD16 | C24 | 1 | 6 | yes | — |
| 587 | C2×SD16 | C24 | 1 | 12 | yes | — |
| 588 | C2×SD16 | C24 | 1 | 12 | yes | — |
| 589 | C2×SD16 | C24 | 1 | 2 | yes | — |
| 590 | C2×SD16 | C24 | 1 | 2 | yes | — |
| 591 | C2×SD16 | C24 | 1 | 6 | yes | — |
| 592 | C2×SD16 | C24 | 1 | 6 | yes | — |
| 593 | C2×D8 | C24 | 1 | 1 | yes | characteristic |
| 594 | C2×D8 | C24 | 1 | 6 | yes | — |
| 595 | C2×D8 | C24 | 1 | 2 | yes | — |
| 596 | C2×D8 | C24 | 1 | 6 | yes | — |
| 597 | C2×D8 | C24 | 1 | 6 | yes | — |
| 598 | #131 | — | 2 | 4 | no | — |
| 599 | #131 | — | 2 | 8 | no | — |
| 600 | #131 | #41 | 1 | 8 | yes | complemented |
| 601 | C2×M16 | C24 | 1 | 3 | yes | — |
| 602 | C2×M16 | C24 | 1 | 6 | yes | — |
| 603 | C2×M16 | C24 | 1 | 3 | yes | — |
| 604 | C22×C8 | C24 | 1 | 3 | yes | — |
| 605 | C22×C8 | C24 | 1 | 6 | yes | — |
| 606 | C22×C8 | C24 | 1 | 3 | yes | — |
| 607 | C4⋊Q8 | — | 2 | 3 | no | — |
| 608 | C4⋊Q8 | — | 2 | 6 | no | — |
| 609 | C4⋊Q8 | — | 2 | 6 | no | — |
| 610 | C4⋊Q8 | — | 2 | 3 | no | — |
| 611 | C4⋊Q8 | C2×D4 | 1 | 3 | yes | — |
| 612 | C4⋊Q8 | C2×D4 | 1 | 3 | yes | — |
| 613 | C4⋊Q8 | C2×D4 | 1 | 6 | yes | — |
| 614 | C4⋊Q8 | C2×D4 | 1 | 6 | yes | — |
| 615 | C4⋊Q8 | C24 | 1 | 6 | yes | — |
| 616 | C4⋊Q8 | C24 | 1 | 3 | yes | — |
| 617 | C4⋊Q8 | C24 | 1 | 12 | yes | — |
| 618 | C4⋊Q8 | C24 | 1 | 6 | yes | — |
| 619 | C4⋊Q8 | C24 | 1 | 1 | yes | characteristic |
| 620 | C4⋊Q8 | C24 | 1 | 6 | yes | — |
| 621 | #127 | — | 2 | 3 | no | — |
| 622 | #127 | — | 2 | 3 | no | — |
| 623 | #127 | C24 | 1 | 3 | yes | — |
| 624 | #127 | C24 | 1 | 6 | yes | — |
| 625 | #127 | C24 | 1 | 2 | yes | — |
| 626 | #127 | C24 | 1 | 1 | yes | characteristic |
| 627 | #127 | C24 | 1 | 6 | yes | — |
| 628 | #126 | — | 2 | 6 | no | — |
| 629 | #126 | — | 2 | 2 | no | — |
| 630 | #126 | — | 2 | 12 | no | — |
| 631 | #126 | — | 2 | 12 | no | — |
| 632 | #126 | — | 2 | 12 | no | — |
| 633 | #126 | — | 2 | 12 | no | — |
| 634 | #126 | — | 2 | 12 | no | — |
| 635 | #126 | — | 2 | 6 | no | — |
| 636 | #126 | — | 2 | 6 | no | — |
| 637 | #126 | — | 2 | 6 | no | — |
| 638 | #126 | — | 2 | 6 | no | — |
| 639 | #125 | — | 2 | 3 | no | — |
| 640 | #125 | — | 2 | 6 | no | — |
| 641 | #125 | — | 2 | 6 | no | — |
| 642 | #125 | — | 2 | 12 | no | — |
| 643 | #125 | — | 2 | 12 | no | — |
| 644 | #125 | — | 2 | 12 | no | — |
| 645 | #125 | — | 2 | 12 | no | — |
| 646 | #125 | — | 2 | 3 | no | — |
| 647 | #125 | — | 2 | 6 | no | — |
| 648 | #125 | — | 2 | 12 | no | — |
| 649 | #125 | — | 2 | 6 | no | — |
| 650 | #125 | C2×D4 | 1 | 6 | yes | — |
| 651 | #125 | C2×D4 | 1 | 6 | yes | — |
| 652 | #125 | C2×D4 | 1 | 6 | yes | — |
| 653 | #124 | — | 2 | 3 | no | — |
| 654 | #124 | — | 2 | 6 | no | — |
| 655 | #124 | — | 2 | 12 | no | — |
| 656 | #124 | — | 2 | 3 | no | — |
| 657 | #124 | — | 2 | 6 | no | — |
| 658 | #124 | — | 2 | 6 | no | — |
| 659 | #124 | — | 2 | 6 | no | — |
| 660 | #124 | — | 2 | 6 | no | — |
| 661 | #124 | — | 2 | 6 | no | — |
| 662 | #124 | C24 | 1 | 6 | yes | — |
| 663 | #124 | C24 | 1 | 12 | yes | — |
| 664 | #124 | C24 | 1 | 2 | yes | — |
| 665 | #124 | C24 | 1 | 6 | yes | — |
| 666 | #124 | C24 | 1 | 6 | yes | — |
| 667 | #124 | C24 | 1 | 6 | yes | — |
| 668 | #124 | C24 | 1 | 6 | yes | — |
| 669 | #123 | — | 2 | 6 | no | — |
| 670 | #123 | — | 2 | 12 | no | — |
| 671 | #123 | — | 2 | 12 | no | — |
| 672 | #123 | — | 2 | 12 | no | — |
| 673 | #123 | — | 2 | 6 | no | — |
| 674 | #123 | — | 2 | 6 | no | — |
| 675 | #123 | — | 2 | 6 | no | — |
| 676 | #123 | — | 2 | 6 | no | — |
| 677 | #123 | — | 2 | 6 | no | — |
| 678 | #123 | — | 2 | 12 | no | — |
| 679 | #123 | — | 2 | 12 | no | — |
| 680 | #123 | — | 2 | 12 | no | — |
| 681 | #123 | — | 2 | 12 | no | — |
| 682 | #123 | — | 2 | 12 | no | — |
| 683 | C22⋊Q8 | — | 2 | 12 | no | — |
| 684 | C22⋊Q8 | — | 2 | 1 | no | — |
| 685 | C22⋊Q8 | — | 2 | 3 | no | — |
| 686 | C22⋊Q8 | — | 2 | 6 | no | — |
| 687 | C22⋊Q8 | — | 2 | 6 | no | — |
| 688 | C22⋊Q8 | — | 2 | 12 | no | — |
| 689 | C22⋊Q8 | — | 2 | 6 | no | — |
| 690 | C22⋊Q8 | — | 2 | 6 | no | — |
| 691 | C22⋊Q8 | — | 2 | 6 | no | — |
| 692 | C22⋊Q8 | — | 2 | 6 | no | — |
| 693 | C22⋊Q8 | — | 2 | 6 | no | — |
| 694 | C22⋊Q8 | — | 2 | 6 | no | — |
| 695 | C22⋊Q8 | — | 2 | 6 | no | — |
| 696 | C22⋊Q8 | — | 2 | 6 | no | — |
| 697 | C22⋊Q8 | — | 2 | 6 | no | — |
| 698 | C22⋊Q8 | C2×D4 | 1 | 12 | yes | — |
| 699 | C22⋊Q8 | C2×D4 | 1 | 6 | yes | — |
| 700 | C22⋊Q8 | C2×D4 | 1 | 12 | yes | — |
| 701 | C22⋊Q8 | C2×D4 | 1 | 6 | yes | — |
| 702 | #121 | — | 2 | 6 | no | — |
| 703 | #121 | — | 2 | 3 | no | — |
| 704 | #121 | — | 2 | 3 | no | — |
| 705 | #121 | — | 2 | 6 | no | — |
| 706 | #121 | — | 2 | 6 | no | — |
| 707 | #121 | — | 2 | 3 | no | — |
| 708 | #121 | — | 2 | 6 | no | — |
| 709 | #121 | — | 2 | 3 | no | — |
| 710 | #121 | — | 2 | 12 | no | — |
| 711 | #121 | — | 2 | 1 | no | — |
| 712 | #121 | — | 2 | 2 | no | — |
| 713 | #121 | — | 2 | 3 | no | — |
| 714 | #121 | — | 2 | 6 | no | — |
| 715 | #121 | — | 2 | 6 | no | — |
| 716 | #121 | — | 2 | 6 | no | — |
| 717 | #121 | — | 2 | 6 | no | — |
| 718 | #121 | — | 2 | 6 | no | — |
| 719 | #121 | — | 2 | 6 | no | — |
| 720 | #120 | — | 2 | 12 | no | — |
| 721 | #120 | — | 2 | 12 | no | — |
| 722 | C4×Q8 | — | 2 | 1 | no | — |
| 723 | C4×Q8 | — | 2 | 3 | no | — |
| 724 | C4×Q8 | — | 2 | 1 | no | — |
| 725 | C4×Q8 | — | 2 | 6 | no | — |
| 726 | C4×Q8 | — | 2 | 12 | no | — |
| 727 | C4×Q8 | — | 2 | 3 | no | — |
| 728 | C4×Q8 | — | 2 | 6 | no | — |
| 729 | C4×Q8 | — | 2 | 3 | no | — |
| 730 | C4×Q8 | — | 2 | 6 | no | — |
| 731 | C4×Q8 | — | 2 | 3 | no | — |
| 732 | C4×Q8 | — | 2 | 3 | no | — |
| 733 | C4×Q8 | — | 2 | 6 | no | — |
| 734 | C4×Q8 | — | 2 | 3 | no | — |
| 735 | C4×Q8 | — | 2 | 3 | no | — |
| 736 | C4×Q8 | — | 2 | 6 | no | — |
| 737 | C4×Q8 | — | 2 | 3 | no | — |
| 738 | C4×Q8 | — | 2 | 6 | no | — |
| 739 | C4×Q8 | — | 2 | 3 | no | — |
| 740 | C4×Q8 | — | 2 | 3 | no | — |
| 741 | C4×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 742 | C4×Q8 | C2×D4 | 1 | 2 | yes | — |
| 743 | C4×Q8 | C2×D4 | 1 | 3 | yes | — |
| 744 | C4×Q8 | C2×D4 | 1 | 3 | yes | — |
| 745 | C4×Q8 | C2×D4 | 1 | 6 | yes | — |
| 746 | C4×Q8 | C2×D4 | 1 | 2 | yes | — |
| 747 | C4×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 748 | C4×Q8 | C24 | 1 | 3 | yes | — |
| 749 | C4×Q8 | C24 | 1 | 6 | yes | — |
| 750 | C4×Q8 | C24 | 1 | 3 | yes | — |
| 751 | C4×Q8 | C24 | 1 | 12 | yes | — |
| 752 | C4×Q8 | C24 | 1 | 6 | yes | — |
| 753 | C4×Q8 | C24 | 1 | 6 | yes | — |
| 754 | C4×Q8 | C24 | 1 | 2 | yes | — |
| 755 | C4×Q8 | C24 | 1 | 6 | yes | — |
| 756 | C4×Q8 | C24 | 1 | 3 | yes | — |
| 757 | C4×Q8 | C24 | 1 | 3 | yes | — |
| 758 | C4×Q8 | C24 | 1 | 6 | yes | — |
| 759 | C4×Q8 | C24 | 1 | 1 | yes | characteristic |
| 760 | C4×Q8 | C24 | 1 | 3 | yes | — |
| 761 | C4×Q8 | C24 | 1 | 6 | yes | — |
| 762 | C4×Q8 | C24 | 1 | 6 | yes | — |
| 763 | C4×D4 | — | 2 | 3 | no | — |
| 764 | C4×D4 | — | 2 | 3 | no | — |
| 765 | C4×D4 | — | 2 | 6 | no | — |
| 766 | C4×D4 | — | 2 | 3 | no | — |
| 767 | C4×D4 | — | 2 | 3 | no | — |
| 768 | C4×D4 | — | 2 | 6 | no | — |
| 769 | C4×D4 | — | 2 | 6 | no | — |
| 770 | C4×D4 | — | 2 | 3 | no | — |
| 771 | C4×D4 | — | 2 | 6 | no | — |
| 772 | C4×D4 | — | 2 | 3 | no | — |
| 773 | C4×D4 | — | 2 | 3 | no | — |
| 774 | C4×D4 | — | 2 | 6 | no | — |
| 775 | C4×D4 | — | 2 | 12 | no | — |
| 776 | C4×D4 | — | 2 | 6 | no | — |
| 777 | C4×D4 | — | 2 | 6 | no | — |
| 778 | C4×D4 | — | 2 | 6 | no | — |
| 779 | C4×D4 | — | 2 | 3 | no | — |
| 780 | C4×D4 | — | 2 | 6 | no | — |
| 781 | C4×D4 | — | 2 | 6 | no | — |
| 782 | C4×D4 | — | 2 | 12 | no | — |
| 783 | C4×D4 | — | 2 | 6 | no | — |
| 784 | C4×D4 | — | 2 | 12 | no | — |
| 785 | C4×D4 | — | 2 | 6 | no | — |
| 786 | C4×D4 | — | 2 | 6 | no | — |
| 787 | C4×D4 | — | 2 | 6 | no | — |
| 788 | C4×D4 | — | 2 | 3 | no | — |
| 789 | C4×D4 | — | 2 | 6 | no | — |
| 790 | C4×D4 | — | 2 | 3 | no | — |
| 791 | C4×D4 | — | 2 | 6 | no | — |
| 792 | C4×D4 | — | 2 | 3 | no | — |
| 793 | C4×D4 | — | 2 | 6 | no | — |
| 794 | C4×D4 | — | 2 | 6 | no | — |
| 795 | C4×D4 | — | 2 | 3 | no | — |
| 796 | C4×D4 | C2×D4 | 1 | 6 | yes | — |
| 797 | C4×D4 | C2×D4 | 1 | 3 | yes | — |
| 798 | C4×D4 | C2×D4 | 1 | 6 | yes | — |
| 799 | C4×D4 | C2×D4 | 1 | 3 | yes | — |
| 800 | C4×D4 | C24 | 1 | 6 | yes | — |
| 801 | C4×D4 | C24 | 1 | 12 | yes | — |
| 802 | C4×D4 | C24 | 1 | 1 | yes | characteristic |
| 803 | C4×D4 | C24 | 1 | 1 | yes | characteristic |
| 804 | C4×D4 | C24 | 1 | 2 | yes | — |
| 805 | C4×D4 | C24 | 1 | 6 | yes | — |
| 806 | C4×D4 | C24 | 1 | 3 | yes | — |
| 807 | C4×D4 | C24 | 1 | 6 | yes | — |
| 808 | C4×D4 | C24 | 1 | 3 | yes | — |
| 809 | #117 | — | 2 | 1 | no | — |
| 810 | #117 | — | 2 | 6 | no | — |
| 811 | #117 | — | 2 | 6 | no | — |
| 812 | #117 | — | 2 | 3 | no | — |
| 813 | #117 | — | 2 | 3 | no | — |
| 814 | #117 | — | 2 | 6 | no | — |
| 815 | #117 | — | 2 | 3 | no | — |
| 816 | #117 | — | 2 | 6 | no | — |
| 817 | #117 | — | 2 | 12 | no | — |
| 818 | #117 | — | 2 | 12 | no | — |
| 819 | #117 | — | 2 | 6 | no | — |
| 820 | #117 | — | 2 | 6 | no | — |
| 821 | #117 | — | 2 | 12 | no | — |
| 822 | #117 | — | 2 | 6 | no | — |
| 823 | #117 | — | 2 | 6 | no | — |
| 824 | #117 | — | 2 | 3 | no | — |
| 825 | #117 | — | 2 | 6 | no | — |
| 826 | #117 | — | 2 | 3 | no | — |
| 827 | #117 | C24 | 1 | 3 | yes | — |
| 828 | #117 | C24 | 1 | 3 | yes | — |
| 829 | #117 | C24 | 1 | 6 | yes | — |
| 830 | #117 | C24 | 1 | 3 | yes | — |
| 831 | C2×C4⋊C4 | — | 2 | 3 | no | — |
| 832 | C2×C4⋊C4 | — | 2 | 6 | no | — |
| 833 | C2×C4⋊C4 | — | 2 | 3 | no | — |
| 834 | C2×C4⋊C4 | — | 2 | 6 | no | — |
| 835 | C2×C4⋊C4 | — | 2 | 3 | no | — |
| 836 | C2×C4⋊C4 | — | 2 | 6 | no | — |
| 837 | C2×C4⋊C4 | — | 2 | 3 | no | — |
| 838 | C2×C4⋊C4 | — | 2 | 6 | no | — |
| 839 | C2×C4⋊C4 | — | 2 | 3 | no | — |
| 840 | C2×C4⋊C4 | — | 2 | 6 | no | — |
| 841 | C2×C4⋊C4 | — | 2 | 3 | no | — |
| 842 | C2×C4⋊C4 | C2×D4 | 1 | 3 | yes | — |
| 843 | C2×C4⋊C4 | C2×D4 | 1 | 6 | yes | — |
| 844 | C2×C4⋊C4 | C24 | 1 | 3 | yes | — |
| 845 | C2×C4⋊C4 | C24 | 1 | 3 | yes | — |
| 846 | C2×C22⋊C4 | — | 2 | 6 | no | — |
| 847 | C2×C22⋊C4 | — | 2 | 6 | no | — |
| 848 | C2×C22⋊C4 | — | 2 | 6 | no | — |
| 849 | C2×C22⋊C4 | — | 2 | 12 | no | — |
| 850 | C2×C42 | — | 2 | 3 | no | — |
| 851 | C2×C42 | — | 2 | 3 | no | — |
| 852 | C2×C42 | — | 2 | 6 | no | — |
| 853 | C2×C42 | — | 2 | 6 | no | — |
| 854 | C2×C42 | — | 2 | 3 | no | — |
| 855 | C2×C42 | — | 2 | 3 | no | — |
| 856 | C2×C42 | — | 2 | 6 | no | — |
| 857 | C2×C42 | C24 | 1 | 6 | yes | — |
| 858 | C2×C42 | C24 | 1 | 3 | yes | — |
| 859 | #107 | C24 | 1 | 3 | yes | — |
| 860 | #107 | C24 | 1 | 6 | yes | — |
| 861 | #107 | C24 | 1 | 1 | yes | characteristic |
| 862 | #106 | C24 | 1 | 3 | yes | — |
| 863 | #106 | C24 | 1 | 3 | yes | — |
| 864 | C4⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 865 | C4⋊C8 | C24 | 1 | 2 | yes | — |
| 866 | C4⋊C8 | C24 | 1 | 3 | yes | — |
| 867 | C4⋊C8 | C24 | 1 | 6 | yes | — |
| 868 | C4⋊C8 | C24 | 1 | 6 | yes | — |
| 869 | C4⋊C8 | C24 | 1 | 6 | yes | — |
| 870 | C4⋊C8 | C24 | 1 | 6 | yes | — |
| 871 | C4⋊C8 | C24 | 1 | 6 | yes | — |
| 872 | C4⋊C8 | C24 | 1 | 12 | yes | — |
| 873 | #103 | C24 | 1 | 3 | yes | — |
| 874 | #103 | C24 | 1 | 3 | yes | — |
| 875 | #103 | C24 | 1 | 6 | yes | — |
| 876 | #103 | C24 | 1 | 12 | yes | — |
| 877 | #103 | C24 | 1 | 6 | yes | — |
| 878 | #103 | C24 | 1 | 6 | yes | — |
| 879 | #103 | C24 | 1 | 2 | yes | — |
| 880 | #103 | C24 | 1 | 6 | yes | — |
| 881 | #103 | C24 | 1 | 6 | yes | — |
| 882 | #103 | C24 | 1 | 3 | yes | — |
| 883 | #103 | C24 | 1 | 3 | yes | — |
| 884 | #102 | C24 | 1 | 6 | yes | — |
| 885 | #102 | C24 | 1 | 12 | yes | — |
| 886 | #102 | C24 | 1 | 1 | yes | characteristic |
| 887 | #102 | C24 | 1 | 1 | yes | characteristic |
| 888 | #102 | C24 | 1 | 2 | yes | — |
| 889 | #102 | C24 | 1 | 6 | yes | — |
| 890 | #102 | C24 | 1 | 3 | yes | — |
| 891 | #102 | C24 | 1 | 3 | yes | — |
| 892 | #102 | C24 | 1 | 6 | yes | — |
| 893 | #97 | C24 | 1 | 2 | yes | — |
| 894 | #97 | C24 | 1 | 6 | yes | — |
| 895 | #97 | C24 | 1 | 6 | yes | — |
| 896 | #97 | C24 | 1 | 6 | yes | — |
| 897 | #97 | C24 | 1 | 6 | yes | — |
| 898 | C4×C8 | C24 | 1 | 1 | yes | characteristic |
| 899 | C4×C8 | C24 | 1 | 3 | yes | — |
| 900 | C4×C8 | C24 | 1 | 3 | yes | — |
| 901 | C4×C8 | C24 | 1 | 3 | yes | — |
| 902 | C4×C8 | C24 | 1 | 12 | yes | — |
| 903 | C24 | — | 2 | 6 | no | — |
| 904 | #41 | — | 2 | 12 | no | — |
| 905 | #41 | — | 2 | 12 | no | — |
| 906 | #41 | — | 2 | 6 | no | — |
| 907 | #41 | — | 2 | 6 | no | — |
| 908 | #41 | — | 2 | 6 | no | — |
| 909 | #41 | — | 2 | 12 | no | — |
| 910 | #41 | — | 2 | 12 | no | — |
| 911 | #41 | — | 2 | 6 | no | — |
| 912 | #41 | — | 4 | 4 | no | — |
| 913 | #41 | — | 4 | 8 | no | — |
| 914 | #41 | — | 4 | 12 | no | — |
| 915 | #41 | — | 4 | 24 | no | — |
| 916 | #41 | — | 4 | 12 | no | — |
| 917 | #41 | — | 8 | 6 | no | — |
| 918 | #41 | — | 16 | 6 | no | — |
| 919 | #41 | C2×#41 | 1 | 4 | yes | — |
| 920 | #41 | H(5,𝔽2) | 1 | 4 | yes | — |
| 921 | C2×Q8 | — | 2 | 3 | no | — |
| 922 | C2×Q8 | — | 2 | 6 | no | — |
| 923 | C2×Q8 | — | 2 | 3 | no | — |
| 924 | C2×Q8 | — | 2 | 12 | no | — |
| 925 | C2×Q8 | — | 2 | 6 | no | — |
| 926 | C2×Q8 | — | 2 | 6 | no | — |
| 927 | C2×Q8 | — | 2 | 6 | no | — |
| 928 | C2×Q8 | — | 2 | 12 | no | — |
| 929 | C2×Q8 | — | 2 | 6 | no | — |
| 930 | C2×Q8 | — | 4 | 6 | no | — |
| 931 | C2×Q8 | — | 4 | 4 | no | — |
| 932 | C2×Q8 | — | 4 | 8 | no | — |
| 933 | C2×Q8 | — | 4 | 4 | no | — |
| 934 | C2×Q8 | C22×D4 | 1 | 1 | yes | characteristic |
| 935 | C2×Q8 | C22×D4 | 1 | 3 | yes | — |
| 936 | C2×Q8 | C22×D4 | 1 | 6 | yes | — |
| 937 | C2×Q8 | C22×D4 | 1 | 6 | yes | — |
| 938 | C2×Q8 | C22×D4 | 1 | 1 | yes | characteristic |
| 939 | C2×Q8 | C25 | 1 | 3 | yes | — |
| 940 | C2×Q8 | C25 | 1 | 2 | yes | — |
| 941 | C2×Q8 | C25 | 1 | 6 | yes | — |
| 942 | C2×Q8 | C25 | 1 | 3 | yes | — |
| 943 | C2×D4 | — | 2 | 3 | no | — |
| 944 | C2×D4 | — | 2 | 6 | no | — |
| 945 | C2×D4 | — | 2 | 6 | no | — |
| 946 | C2×D4 | — | 2 | 3 | no | — |
| 947 | C2×D4 | — | 2 | 2 | no | — |
| 948 | C2×D4 | — | 2 | 1 | no | — |
| 949 | C2×D4 | — | 2 | 6 | no | — |
| 950 | C2×D4 | — | 2 | 3 | no | — |
| 951 | C2×D4 | — | 2 | 2 | no | — |
| 952 | C2×D4 | — | 2 | 1 | no | — |
| 953 | C2×D4 | — | 2 | 6 | no | — |
| 954 | C2×D4 | — | 2 | 6 | no | — |
| 955 | C2×D4 | — | 2 | 6 | no | — |
| 956 | C2×D4 | — | 2 | 6 | no | — |
| 957 | C2×D4 | — | 2 | 3 | no | — |
| 958 | C2×D4 | — | 2 | 12 | no | — |
| 959 | C2×D4 | — | 2 | 12 | no | — |
| 960 | C2×D4 | — | 4 | 24 | no | — |
| 961 | C2×D4 | — | 8 | 6 | no | — |
| 962 | C2×D4 | — | 16 | 3 | no | — |
| 963 | C2×D4 | C22×D4 | 1 | 3 | yes | — |
| 964 | C2×D4 | C25 | 1 | 2 | yes | — |
| 965 | C2×D4 | C25 | 1 | 1 | yes | characteristic |
| 966 | C2×D4 | C25 | 1 | 6 | yes | — |
| 967 | C2×D4 | C25 | 1 | 1 | yes | characteristic |
| 968 | C22×C4 | — | 2 | 3 | no | — |
| 969 | C22×C4 | — | 2 | 6 | no | — |
| 970 | C22×C4 | — | 2 | 3 | no | — |
| 971 | C22×C4 | — | 2 | 3 | no | — |
| 972 | C22×C4 | — | 2 | 3 | no | — |
| 973 | C22×C4 | — | 2 | 2 | no | — |
| 974 | C22×C4 | — | 2 | 1 | no | — |
| 975 | C22×C4 | — | 2 | 1 | no | — |
| 976 | C22×C4 | — | 2 | 3 | no | — |
| 977 | C22×C4 | — | 2 | 6 | no | — |
| 978 | C22×C4 | — | 2 | 6 | no | — |
| 979 | C22×C4 | — | 2 | 3 | no | — |
| 980 | C22×C4 | — | 2 | 6 | no | — |
| 981 | C22×C4 | — | 2 | 3 | no | — |
| 982 | C22×C4 | — | 2 | 6 | no | — |
| 983 | C22×C4 | — | 2 | 3 | no | — |
| 984 | C22×C4 | — | 2 | 6 | no | — |
| 985 | C22×C4 | — | 2 | 12 | no | — |
| 986 | C22×C4 | — | 16 | 6 | no | — |
| 987 | C22×C4 | C22×D4 | 1 | 3 | yes | — |
| 988 | C22×C4 | C22×D4 | 1 | 6 | yes | — |
| 989 | C22×C4 | C22×D4 | 1 | 6 | yes | — |
| 990 | C22×C4 | C22×D4 | 1 | 3 | yes | — |
| 991 | C22×C4 | C25 | 1 | 3 | yes | — |
| 992 | Q16 | — | 2 | 6 | no | — |
| 993 | Q16 | — | 2 | 12 | no | — |
| 994 | Q16 | — | 2 | 12 | no | — |
| 995 | Q16 | — | 4 | 6 | no | — |
| 996 | Q16 | — | 4 | 12 | no | — |
| 997 | Q16 | — | 4 | 6 | no | — |
| 998 | Q16 | — | 4 | 6 | no | — |
| 999 | SD16 | — | 2 | 12 | no | — |
| 1000 | SD16 | — | 2 | 24 | no | — |
| 1001 | SD16 | — | 2 | 4 | no | — |
| 1002 | SD16 | — | 2 | 6 | no | — |
| 1003 | SD16 | — | 2 | 6 | no | — |
| 1004 | SD16 | — | 4 | 6 | no | — |
| 1005 | SD16 | — | 4 | 6 | no | — |
| 1006 | SD16 | — | 4 | 12 | no | — |
| 1007 | SD16 | — | 4 | 12 | no | — |
| 1008 | SD16 | — | 4 | 2 | no | — |
| 1009 | SD16 | — | 4 | 2 | no | — |
| 1010 | SD16 | — | 4 | 6 | no | — |
| 1011 | SD16 | — | 4 | 6 | no | — |
| 1012 | D8 | — | 2 | 2 | no | — |
| 1013 | D8 | — | 2 | 12 | no | — |
| 1014 | D8 | — | 4 | 2 | no | — |
| 1015 | D8 | — | 4 | 6 | no | — |
| 1016 | D8 | — | 4 | 6 | no | — |
| 1017 | M16 | — | 2 | 6 | no | — |
| 1018 | M16 | — | 2 | 12 | no | — |
| 1019 | M16 | C2×#41 | 1 | 12 | yes | — |
| 1020 | C2×C8 | — | 2 | 6 | no | — |
| 1021 | C2×C8 | — | 2 | 12 | no | — |
| 1022 | C2×C8 | C2×#41 | 1 | 12 | yes | — |
| 1023 | C2×C8 | C25 | 1 | 1 | yes | characteristic |
| 1024 | C2×C8 | C25 | 1 | 6 | yes | — |
| 1025 | C2×C8 | C25 | 1 | 3 | yes | — |
| 1026 | C2×C8 | C25 | 1 | 2 | yes | — |
| 1027 | C2×C8 | C25 | 1 | 3 | yes | — |
| 1028 | C2×C8 | C25 | 1 | 1 | yes | characteristic |
| 1029 | C4⋊C4 | — | 2 | 3 | no | — |
| 1030 | C4⋊C4 | — | 2 | 3 | no | — |
| 1031 | C4⋊C4 | — | 2 | 6 | no | — |
| 1032 | C4⋊C4 | — | 2 | 6 | no | — |
| 1033 | C4⋊C4 | — | 2 | 3 | no | — |
| 1034 | C4⋊C4 | — | 2 | 6 | no | — |
| 1035 | C4⋊C4 | — | 2 | 6 | no | — |
| 1036 | C4⋊C4 | — | 2 | 12 | no | — |
| 1037 | C4⋊C4 | — | 2 | 3 | no | — |
| 1038 | C4⋊C4 | — | 2 | 6 | no | — |
| 1039 | C4⋊C4 | — | 2 | 3 | no | — |
| 1040 | C4⋊C4 | — | 2 | 6 | no | — |
| 1041 | C4⋊C4 | — | 2 | 3 | no | — |
| 1042 | C4⋊C4 | — | 2 | 6 | no | — |
| 1043 | C4⋊C4 | — | 2 | 12 | no | — |
| 1044 | C4⋊C4 | — | 2 | 6 | no | — |
| 1045 | C4⋊C4 | — | 2 | 12 | no | — |
| 1046 | C4⋊C4 | — | 2 | 2 | no | — |
| 1047 | C4⋊C4 | — | 2 | 3 | no | — |
| 1048 | C4⋊C4 | — | 2 | 3 | no | — |
| 1049 | C4⋊C4 | — | 2 | 6 | no | — |
| 1050 | C4⋊C4 | — | 2 | 6 | no | — |
| 1051 | C4⋊C4 | — | 2 | 1 | no | — |
| 1052 | C4⋊C4 | — | 2 | 6 | no | — |
| 1053 | C4⋊C4 | — | 2 | 1 | no | — |
| 1054 | C4⋊C4 | C22×D4 | 1 | 6 | yes | — |
| 1055 | C4⋊C4 | C22×D4 | 1 | 3 | yes | — |
| 1056 | C4⋊C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1057 | C4⋊C4 | C22×D4 | 1 | 2 | yes | — |
| 1058 | C4⋊C4 | C22×D4 | 1 | 3 | yes | — |
| 1059 | C4⋊C4 | C22×D4 | 1 | 6 | yes | — |
| 1060 | C4⋊C4 | C22×D4 | 1 | 6 | yes | — |
| 1061 | C4⋊C4 | C22×D4 | 1 | 6 | yes | — |
| 1062 | C4⋊C4 | C22×D4 | 1 | 6 | yes | — |
| 1063 | C4⋊C4 | C22×D4 | 1 | 6 | yes | — |
| 1064 | C4⋊C4 | C22×D4 | 1 | 3 | yes | — |
| 1065 | C4⋊C4 | C22×D4 | 1 | 12 | yes | — |
| 1066 | C4⋊C4 | C22×D4 | 1 | 6 | yes | — |
| 1067 | C4⋊C4 | C25 | 1 | 1 | yes | characteristic |
| 1068 | C4⋊C4 | C25 | 1 | 3 | yes | — |
| 1069 | C4⋊C4 | C25 | 1 | 1 | yes | characteristic |
| 1070 | C4⋊C4 | C25 | 1 | 3 | yes | — |
| 1071 | C22⋊C4 | — | 2 | 3 | no | — |
| 1072 | C22⋊C4 | — | 2 | 3 | no | — |
| 1073 | C22⋊C4 | — | 2 | 6 | no | — |
| 1074 | C22⋊C4 | — | 2 | 6 | no | — |
| 1075 | C22⋊C4 | — | 2 | 12 | no | — |
| 1076 | C22⋊C4 | — | 2 | 6 | no | — |
| 1077 | C22⋊C4 | — | 2 | 6 | no | — |
| 1078 | C22⋊C4 | — | 2 | 12 | no | — |
| 1079 | C22⋊C4 | — | 2 | 12 | no | — |
| 1080 | C22⋊C4 | — | 2 | 1 | no | — |
| 1081 | C22⋊C4 | — | 2 | 3 | no | — |
| 1082 | C22⋊C4 | — | 2 | 2 | no | — |
| 1083 | C22⋊C4 | — | 2 | 1 | no | — |
| 1084 | C22⋊C4 | — | 2 | 3 | no | — |
| 1085 | C22⋊C4 | — | 2 | 6 | no | — |
| 1086 | C22⋊C4 | — | 2 | 6 | no | — |
| 1087 | C22⋊C4 | — | 2 | 6 | no | — |
| 1088 | C22⋊C4 | — | 2 | 6 | no | — |
| 1089 | C22⋊C4 | — | 2 | 6 | no | — |
| 1090 | C22⋊C4 | — | 2 | 2 | no | — |
| 1091 | C22⋊C4 | — | 2 | 6 | no | — |
| 1092 | C22⋊C4 | — | 2 | 6 | no | — |
| 1093 | C22⋊C4 | — | 2 | 6 | no | — |
| 1094 | C22⋊C4 | — | 2 | 6 | no | — |
| 1095 | C22⋊C4 | — | 2 | 2 | no | — |
| 1096 | C22⋊C4 | C22×D4 | 1 | 12 | yes | — |
| 1097 | C22⋊C4 | C22×D4 | 1 | 6 | yes | — |
| 1098 | C42 | — | 2 | 2 | no | — |
| 1099 | C42 | — | 2 | 3 | no | — |
| 1100 | C42 | — | 2 | 3 | no | — |
| 1101 | C42 | — | 2 | 3 | no | — |
| 1102 | C42 | — | 2 | 6 | no | — |
| 1103 | C42 | — | 2 | 3 | no | — |
| 1104 | C42 | — | 2 | 6 | no | — |
| 1105 | C42 | — | 2 | 3 | no | — |
| 1106 | C42 | — | 2 | 6 | no | — |
| 1107 | C42 | — | 2 | 3 | no | — |
| 1108 | C42 | — | 2 | 6 | no | — |
| 1109 | C42 | — | 2 | 6 | no | — |
| 1110 | C42 | — | 2 | 12 | no | — |
| 1111 | C42 | C22×D4 | 1 | 3 | yes | — |
| 1112 | C42 | C22×D4 | 1 | 6 | yes | — |
| 1113 | C42 | C22×D4 | 1 | 6 | yes | — |
| 1114 | C42 | C22×D4 | 1 | 3 | yes | — |
| 1115 | C42 | C25 | 1 | 1 | yes | characteristic |
| 1116 | C42 | C25 | 1 | 6 | yes | — |
| 1117 | C42 | C25 | 1 | 3 | yes | — |
| 1118 | C42 | C25 | 1 | 2 | yes | — |
| 1119 | C23 | — | 2 | 2 | no | — |
| 1120 | C23 | — | 2 | 1 | no | — |
| 1121 | C23 | — | 2 | 6 | no | — |
| 1122 | C23 | — | 2 | 1 | no | — |
| 1123 | C23 | — | 4 | 12 | no | — |
| 1124 | C23 | — | 8 | 6 | no | — |
| 1125 | C23 | — | 8 | 6 | no | — |
| 1126 | C23 | C23×D4 | 1 | 3 | yes | — |
| 1127 | Q8 | — | 2 | 2 | no | — |
| 1128 | Q8 | — | 2 | 6 | no | — |
| 1129 | Q8 | — | 2 | 6 | no | — |
| 1130 | Q8 | — | 2 | 3 | no | — |
| 1131 | Q8 | — | 2 | 3 | no | — |
| 1132 | Q8 | — | 2 | 2 | no | — |
| 1133 | Q8 | — | 2 | 3 | no | — |
| 1134 | Q8 | — | 2 | 6 | no | — |
| 1135 | Q8 | — | 2 | 3 | no | — |
| 1136 | Q8 | — | 2 | 2 | no | — |
| 1137 | Q8 | — | 4 | 6 | no | — |
| 1138 | Q8 | — | 4 | 6 | no | — |
| 1139 | Q8 | — | 4 | 6 | no | — |
| 1140 | Q8 | — | 4 | 12 | no | — |
| 1141 | Q8 | — | 4 | 6 | no | — |
| 1142 | Q8 | #550 | 1 | 4 | yes | — |
| 1143 | D4 | — | 2 | 2 | no | — |
| 1144 | D4 | — | 2 | 6 | no | — |
| 1145 | D4 | — | 2 | 1 | no | — |
| 1146 | D4 | — | 2 | 1 | no | — |
| 1147 | D4 | — | 2 | 1 | no | — |
| 1148 | D4 | — | 2 | 2 | no | — |
| 1149 | D4 | — | 2 | 6 | no | — |
| 1150 | D4 | — | 2 | 1 | no | — |
| 1151 | D4 | — | 4 | 4 | no | — |
| 1152 | D4 | — | 4 | 12 | no | — |
| 1153 | D4 | — | 4 | 6 | no | — |
| 1154 | D4 | — | 4 | 12 | no | — |
| 1155 | D4 | — | 4 | 6 | no | — |
| 1156 | D4 | — | 4 | 6 | no | — |
| 1157 | D4 | — | 4 | 2 | no | — |
| 1158 | D4 | — | 4 | 12 | no | — |
| 1159 | D4 | — | 8 | 2 | no | — |
| 1160 | D4 | — | 8 | 1 | no | — |
| 1161 | D4 | — | 8 | 6 | no | — |
| 1162 | D4 | — | 8 | 3 | no | — |
| 1163 | D4 | — | 8 | 6 | no | — |
| 1164 | D4 | — | 8 | 6 | no | — |
| 1165 | D4 | — | 8 | 6 | no | — |
| 1166 | D4 | #550 | 1 | 12 | yes | — |
| 1167 | C2×C4 | — | 2 | 6 | no | — |
| 1168 | C2×C4 | — | 2 | 1 | no | — |
| 1169 | C2×C4 | — | 2 | 3 | no | — |
| 1170 | C2×C4 | — | 2 | 1 | no | — |
| 1171 | C2×C4 | — | 2 | 3 | no | — |
| 1172 | C2×C4 | — | 2 | 3 | no | — |
| 1173 | C2×C4 | — | 2 | 2 | no | — |
| 1174 | C2×C4 | — | 2 | 6 | no | — |
| 1175 | C2×C4 | — | 2 | 3 | no | — |
| 1176 | C2×C4 | — | 4 | 6 | no | — |
| 1177 | C2×C4 | — | 4 | 3 | no | — |
| 1178 | C2×C4 | — | 4 | 6 | no | — |
| 1179 | C2×C4 | — | 4 | 4 | no | — |
| 1180 | C2×C4 | — | 4 | 6 | no | — |
| 1181 | C2×C4 | — | 4 | 12 | no | — |
| 1182 | C2×C4 | — | 4 | 6 | no | — |
| 1183 | C2×C4 | — | 4 | 2 | no | — |
| 1184 | C2×C4 | — | 4 | 2 | no | — |
| 1185 | C2×C4 | — | 4 | 12 | no | — |
| 1186 | C2×C4 | — | 4 | 6 | no | — |
| 1187 | C2×C4 | — | 4 | 12 | no | — |
| 1188 | C2×C4 | — | 4 | 6 | no | — |
| 1189 | C2×C4 | — | 8 | 6 | no | — |
| 1190 | C2×C4 | — | 8 | 3 | no | — |
| 1191 | C2×C4 | — | 8 | 6 | no | — |
| 1192 | C2×C4 | — | 8 | 12 | no | — |
| 1193 | C2×C4 | — | 8 | 6 | no | — |
| 1194 | C2×C4 | — | 8 | 3 | no | — |
| 1195 | C2×C4 | — | 8 | 3 | no | — |
| 1196 | C2×C4 | — | 8 | 3 | no | — |
| 1197 | C2×C4 | C23×D4 | 1 | 3 | yes | — |
| 1198 | C2×C4 | C23×D4 | 1 | 2 | yes | — |
| 1199 | C2×C4 | C23×D4 | 1 | 6 | yes | — |
| 1200 | C2×C4 | C23×D4 | 1 | 3 | yes | — |
| 1201 | C2×C4 | C23×D4 | 1 | 2 | yes | — |
| 1202 | C2×C4 | C23×D4 | 1 | 6 | yes | — |
| 1203 | C2×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 1204 | C2×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 1205 | C2×C4 | C23×D4 | 1 | 3 | yes | — |
| 1206 | C2×C4 | C22×#41 | 1 | 6 | yes | — |
| 1207 | C2×C4 | C2×H(5,𝔽2) | 1 | 6 | yes | — |
| 1208 | C2×C4 | C26 | 1 | 1 | yes | characteristic |
| 1209 | C8 | — | 2 | 2 | no | — |
| 1210 | C8 | — | 2 | 1 | no | — |
| 1211 | C8 | — | 2 | 3 | no | — |
| 1212 | C8 | — | 2 | 6 | no | — |
| 1213 | C8 | C22×#41 | 1 | 2 | yes | — |
| 1214 | C8 | C22×#41 | 1 | 6 | yes | — |
| 1215 | C22 | — | 2 | 3 | no | — |
| 1216 | C22 | — | 2 | 3 | no | — |
| 1217 | C22 | — | 4 | 2 | no | — |
| 1218 | C22 | — | 4 | 1 | no | — |
| 1219 | C22 | — | 4 | 1 | no | — |
| 1220 | C22 | — | 4 | 6 | no | — |
| 1221 | C22 | — | 4 | 1 | no | — |
| 1222 | C22 | — | 4 | 6 | no | — |
| 1223 | C22 | — | 4 | 2 | no | — |
| 1224 | C22 | — | 4 | 1 | no | — |
| 1225 | C22 | — | 4 | 2 | no | — |
| 1226 | C22 | — | 4 | 1 | no | — |
| 1227 | C22 | — | 4 | 1 | no | — |
| 1228 | C22 | — | 4 | 6 | no | — |
| 1229 | C22 | — | 16 | 12 | no | — |
| 1230 | C22 | C2×#550 | 1 | 6 | yes | — |
| 1231 | C22 | C24×D4 | 1 | 1 | yes | characteristic |
| 1232 | C4 | — | 2 | 3 | no | — |
| 1233 | C4 | — | 2 | 2 | no | — |
| 1234 | C4 | — | 2 | 6 | no | — |
| 1235 | C4 | — | 2 | 2 | no | — |
| 1236 | C4 | — | 2 | 1 | no | — |
| 1237 | C4 | — | 2 | 6 | no | — |
| 1238 | C4 | — | 2 | 3 | no | — |
| 1239 | C4 | — | 4 | 1 | no | — |
| 1240 | C4 | — | 4 | 1 | no | — |
| 1241 | C4 | — | 4 | 3 | no | — |
| 1242 | C4 | — | 4 | 3 | no | — |
| 1243 | C4 | — | 4 | 2 | no | — |
| 1244 | C4 | — | 4 | 3 | no | — |
| 1245 | C4 | — | 4 | 6 | no | — |
| 1246 | C4 | — | 4 | 3 | no | — |
| 1247 | C4 | C2×#550 | 1 | 6 | yes | — |
| 1248 | C4 | #3586 | 1 | 2 | yes | — |
| 1249 | C4 | C23×#41 | 1 | 1 | yes | characteristic |
| 1250 | C4 | C22×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 1251 | C2 | — | 2 | 6 | no | — |
| 1252 | C2 | — | 8 | 2 | no | — |
| 1253 | C2 | — | 8 | 1 | no | — |
| 1254 | C2 | — | 8 | 1 | no | — |
| 1255 | C2 | — | 8 | 6 | no | — |
| 1256 | C2 | C22×#550 | 1 | 1 | yes | characteristic |
| 1257 | C2 | C2×#3586 | 1 | 1 | yes | characteristic |
| 1258 | C2 | #63092 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, socle | C22 | C24×D4 |
| commutator, Frattini, cosocle | C2×C4 | C26 |
| LCS | G ▷ C2×C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C22 ◁ Q8×#41 ◁ G | |
| LECS | G ▷ C2×C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #63010 | C2 | semidirect |
| 2. #63001 | C2 | semidirect |
| 3. #61423 | C2 | semidirect |
| 4. #61422 | C2 | semidirect |
| 5. #61421 | C2 | semidirect |
| 6. #61420 | C2 | semidirect |
| 7. #61418 | C2 | semidirect |
| 8. #61415 | C2 | semidirect |
| 9. #61410 | C2 | semidirect |
| 10. #61408 | C2 | semidirect |
| 11. #61405 | C2 | semidirect |
| 12. #61404 | C2 | semidirect |
| 13. #61401 | C2 | semidirect |
| 14. C2×#3400 | C2 | semidirect |
| 15. #60651 | C2 | semidirect |
| 16. #60646 | C2 | semidirect |
| 17. #60433 | C2 | semidirect |
| 18. #60432 | C2 | semidirect |
| 19. #60431 | C2 | semidirect |
| 20. #60429 | C2 | semidirect |
| 21. #60195 | C2 | semidirect |
| 22. #60174 | C2 | semidirect |
| 23. C4×#578 | C2 | semidirect |
| 38. #3509 | C22 | semidirect |
| 39. #3509 | C22 | semidirect |
| 42. #3507 | C22 | semidirect |
| 43. #3507 | C22 | semidirect |
| 53. #3480 | C22 | semidirect |
| 57. C2×#557 | C22 | semidirect |
| 62. #3403 | C22 | semidirect |
| 63. #3403 | C22 | semidirect |
| 64. #3402 | C22 | semidirect |
| 65. #3402 | C22 | semidirect |
| 66. #3402 | C22 | semidirect |
| 67. #3401 | C22 | semidirect |
| 68. #3401 | C22 | semidirect |
| 69. #3401 | C22 | semidirect |
| 70. #3401 | C22 | semidirect |
| 71. #3400 | C22 | semidirect |
| 72. #3400 | C22 | semidirect |
| 73. #3400 | C22 | semidirect |
| 74. #3400 | C22 | semidirect |
| 75. #3400 | C22 | semidirect |
| 76. #3400 | C22 | semidirect |
| 77. #3400 | C22 | semidirect |
| 78. #3400 | C22 | semidirect |
| 79. #3400 | C22 | semidirect |
| 80. #3399 | C22 | semidirect |
| 81. #3399 | C22 | semidirect |
| 82. #3398 | C22 | semidirect |
| 83. #3398 | C22 | semidirect |
| 84. #3398 | C22 | semidirect |
| 85. #3398 | C22 | semidirect |
| 86. #3397 | C22 | semidirect |
| 87. #3397 | C22 | semidirect |
| 88. #3397 | C22 | semidirect |
| 89. #3397 | C22 | semidirect |
| 90. #3396 | C22 | semidirect |
| 91. #3395 | C22 | semidirect |
| 92. #3394 | C22 | semidirect |
| 93. #3394 | C22 | semidirect |
| 94. #3393 | C22 | semidirect |
| 95. #3392 | C22 | semidirect |
| 96. #3392 | C22 | semidirect |
| 97. #3156 | C22 | semidirect |
| 98. #3156 | C22 | semidirect |
| 101. #3154 | C22 | semidirect |
| 102. #3154 | C22 | semidirect |
| 103. #3153 | C22 | semidirect |
| 105. #3152 | C22 | semidirect |
| 107. #3150 | C22 | semidirect |
| 108. C2×#497 | C22 | semidirect |
| 111. #3046 | C22 | semidirect |
| 112. #3046 | C22 | semidirect |
| 113. #3046 | C22 | semidirect |
| 114. #3046 | C22 | semidirect |
| 116. #3045 | C22 | semidirect |
| 117. #3044 | C22 | semidirect |
| 118. #3044 | C22 | semidirect |
| 120. #3043 | C22 | semidirect |
| 121. #3042 | C22 | semidirect |
| 122. #3042 | C22 | semidirect |
| 123. #3040 | C22 | semidirect |
| 124. #3039 | C22 | semidirect |
| 125. #3039 | C22 | semidirect |
| 128. #3037 | C22 | semidirect |
| 129. #3037 | C22 | semidirect |
| 130. #3036 | C22 | semidirect |
| 132. #3035 | C22 | semidirect |
| 133. #3035 | C22 | semidirect |
| 134. #3035 | C22 | semidirect |
| 135. C2×#464 | C22 | semidirect |
| 136. C2×#462 | C22 | semidirect |
| 138. C2×#461 | C22 | semidirect |
| 139. Q8×M16 | C22 | semidirect |
| 140. #2962 | C22 | semidirect |
| 141. #2962 | C22 | semidirect |
| 142. #2961 | C22 | semidirect |
| 143. #2960 | C22 | semidirect |
| 144. C2×#446 | C22 | semidirect |
| 145. #2951 | C22 | semidirect |
| 146. #2951 | C22 | semidirect |
| 147. #2950 | C22 | semidirect |
| 148. #2949 | C22 | semidirect |
| 149. #2947 | C22 | semidirect |
| 150. #2947 | C22 | semidirect |
| 151. #2947 | C22 | semidirect |
| 152. #2946 | C22 | semidirect |
| 153. C4×#137 | C22 | semidirect |
| 154. C4×#137 | C22 | semidirect |
| 155. C4×#137 | C22 | semidirect |
| 156. C4×AGL(1,ℤ/8) | C22 | semidirect |
| 157. #2943 | C22 | semidirect |
| 158. C2×#440 | C22 | semidirect |
| 159. C4×#135 | C22 | semidirect |
| 160. C2×C4×Q16 | C22 | semidirect |
| 600. #131 | #41 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #63010 | 2 |
| #63001 | 2 |
| #61423 | 2 |
| #61422 | 2 |
| #61421 | 2 |
| #61420 | 2 |
| #61418 | 2 |
| #61415 | 2 |
| #61410 | 2 |
| #61408 | 2 |
| #61405 | 2 |
| #61404 | 2 |
| #61401 | 2 |
| C2×#3400 | 2 |
| #60651 | 2 |
| #60646 | 2 |
| #60433 | 2 |
| #60432 | 2 |
| #60431 | 2 |
| #60429 | 2 |
| #60195 | 2 |
| #60174 | 2 |
| C4×#578 | 2 |