Finite Group DatabasebetaFinite Group DatabasebetaOrder 512.
6353 conjugacy classes of subgroups.
The subgroup lattice has 1647 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #62835 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #62834 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #62260 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #62259 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #62256 | C2 | 1 | 8 | yes | maximal, complemented |
| 6 | #62248 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #62243 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #61815 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #61812 | C2 | 1 | 4 | yes | maximal, complemented |
| 10 | #61809 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #61808 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #61805 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | #61803 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | #61692 | C2 | 1 | 4 | yes | maximal, complemented |
| 15 | #61689 | C2 | 1 | 4 | yes | maximal, complemented |
| 16 | #61686 | C2 | 1 | 2 | yes | maximal, complemented |
| 17 | #61685 | C2 | 1 | 2 | yes | maximal, complemented |
| 18 | #61682 | C2 | 1 | 2 | yes | maximal, complemented |
| 19 | #61680 | C2 | 1 | 2 | yes | maximal, complemented |
| 20 | #60963 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 21 | #60962 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 22 | #60944 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 23 | #60941 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 24 | #60769 | C2 | 1 | 8 | yes | maximal, complemented |
| 25 | C2×#2981 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 26 | #3561 | — | 2 | 2 | no | — |
| 27 | #3559 | — | 2 | 2 | no | — |
| 28 | #3558 | — | 2 | 2 | no | — |
| 29 | #3558 | — | 2 | 2 | no | — |
| 30 | #3554 | — | 2 | 2 | no | — |
| 31 | #3550 | C22 | 1 | 2 | yes | complemented |
| 32 | #3549 | C22 | 1 | 2 | yes | — |
| 33 | #3548 | C22 | 1 | 2 | yes | — |
| 34 | #3548 | C22 | 1 | 2 | yes | complemented |
| 35 | #3547 | C22 | 1 | 4 | yes | complemented |
| 36 | #3546 | — | 2 | 2 | no | — |
| 37 | #3546 | C22 | 1 | 4 | yes | — |
| 38 | #3537 | — | 2 | 2 | no | — |
| 39 | #3536 | — | 2 | 2 | no | — |
| 40 | #3522 | — | 2 | 2 | no | — |
| 41 | #3520 | C22 | 1 | 4 | yes | complemented |
| 42 | #3519 | — | 2 | 2 | no | — |
| 43 | #3519 | C22 | 1 | 4 | yes | — |
| 44 | #3511 | — | 2 | 2 | no | — |
| 45 | #3511 | — | 2 | 1 | no | — |
| 46 | #3511 | C22 | 1 | 2 | yes | — |
| 47 | #3511 | C22 | 1 | 2 | yes | complemented |
| 48 | #3508 | — | 2 | 2 | no | — |
| 49 | #3508 | — | 2 | 1 | no | — |
| 50 | #3507 | C22 | 1 | 2 | yes | complemented |
| 51 | #3506 | C22 | 1 | 2 | yes | — |
| 52 | #3506 | C22 | 1 | 2 | yes | — |
| 53 | #3506 | C22 | 1 | 2 | yes | complemented |
| 54 | #3503 | — | 2 | 1 | no | — |
| 55 | #3501 | C22 | 1 | 2 | yes | complemented |
| 56 | #3499 | C22 | 1 | 2 | yes | complemented |
| 57 | #3498 | — | 2 | 1 | no | — |
| 58 | #3498 | C22 | 1 | 2 | yes | — |
| 59 | #3497 | C22 | 1 | 2 | yes | complemented |
| 60 | #3496 | C22 | 1 | 2 | yes | — |
| 61 | #3496 | C22 | 1 | 2 | yes | — |
| 62 | #3494 | — | 2 | 2 | no | — |
| 63 | #3489 | C22 | 1 | 4 | yes | complemented |
| 64 | #3488 | — | 2 | 2 | no | — |
| 65 | #3488 | C22 | 1 | 4 | yes | — |
| 66 | #3444 | C22 | 1 | 1 | yes | characteristic |
| 67 | #3444 | C22 | 1 | 1 | yes | characteristic, complemented |
| 68 | C2×#533 | C22 | 1 | 1 | yes | characteristic, complemented |
| 69 | C2×#532 | C22 | 1 | 1 | yes | characteristic |
| 70 | C2×#532 | C22 | 1 | 1 | yes | characteristic |
| 71 | #3357 | C22 | 1 | 4 | yes | complemented |
| 72 | #3356 | C22 | 1 | 4 | yes | complemented |
| 73 | #3354 | C22 | 1 | 4 | yes | complemented |
| 74 | #3353 | C22 | 1 | 4 | yes | complemented |
| 75 | #3350 | C22 | 1 | 8 | yes | complemented |
| 76 | #3348 | C22 | 1 | 8 | yes | complemented |
| 77 | #3345 | C22 | 1 | 8 | yes | complemented |
| 78 | #3344 | C22 | 1 | 8 | yes | complemented |
| 79 | #3340 | C22 | 1 | 4 | yes | complemented |
| 80 | #3340 | C22 | 1 | 4 | yes | complemented |
| 81 | #3335 | C22 | 1 | 4 | yes | complemented |
| 82 | #3335 | C22 | 1 | 4 | yes | complemented |
| 83 | #3333 | C22 | 1 | 4 | yes | complemented |
| 84 | #3332 | C22 | 1 | 4 | yes | complemented |
| 85 | #3331 | C22 | 1 | 4 | yes | complemented |
| 86 | #3330 | C22 | 1 | 4 | yes | complemented |
| 87 | #3329 | C22 | 1 | 4 | yes | complemented |
| 88 | #3328 | C22 | 1 | 4 | yes | complemented |
| 89 | #3325 | C22 | 1 | 4 | yes | complemented |
| 90 | #3324 | C22 | 1 | 4 | yes | complemented |
| 91 | #3321 | C22 | 1 | 8 | yes | complemented |
| 92 | #3320 | C22 | 1 | 8 | yes | complemented |
| 93 | #3317 | C22 | 1 | 8 | yes | complemented |
| 94 | #3316 | C22 | 1 | 8 | yes | complemented |
| 95 | #3311 | C22 | 1 | 8 | yes | complemented |
| 96 | #3310 | C22 | 1 | 8 | yes | complemented |
| 97 | #3307 | C22 | 1 | 8 | yes | complemented |
| 98 | #3306 | C22 | 1 | 8 | yes | complemented |
| 99 | #3305 | C22 | 1 | 4 | yes | complemented |
| 100 | #3305 | C22 | 1 | 4 | yes | complemented |
| 101 | #3302 | C22 | 1 | 4 | yes | complemented |
| 102 | #3302 | C22 | 1 | 4 | yes | complemented |
| 103 | #3298 | C22 | 1 | 4 | yes | complemented |
| 104 | #3298 | C22 | 1 | 4 | yes | complemented |
| 105 | #3295 | C22 | 1 | 4 | yes | complemented |
| 106 | #3295 | C22 | 1 | 4 | yes | complemented |
| 107 | #3284 | C22 | 1 | 4 | yes | complemented |
| 108 | #3284 | C22 | 1 | 4 | yes | complemented |
| 109 | D4×SD16 | C22 | 1 | 4 | yes | complemented |
| 110 | D4×SD16 | C22 | 1 | 4 | yes | complemented |
| 111 | #3278 | C22 | 1 | 4 | yes | complemented |
| 112 | #3276 | C22 | 1 | 4 | yes | complemented |
| 113 | #3274 | C22 | 1 | 4 | yes | complemented |
| 114 | #3272 | C22 | 1 | 4 | yes | complemented |
| 115 | #3271 | C22 | 1 | 8 | yes | complemented |
| 116 | #3267 | C22 | 1 | 8 | yes | complemented |
| 117 | #3266 | C22 | 1 | 8 | yes | complemented |
| 118 | #3265 | C22 | 1 | 8 | yes | complemented |
| 119 | #3250 | C22 | 1 | 4 | yes | complemented |
| 120 | #3249 | C22 | 1 | 2 | yes | complemented |
| 121 | #3246 | C22 | 1 | 4 | yes | complemented |
| 122 | #3246 | C22 | 1 | 2 | yes | complemented |
| 123 | #3246 | C22 | 1 | 2 | yes | complemented |
| 124 | #3245 | C22 | 1 | 2 | yes | complemented |
| 125 | #3239 | C22 | 1 | 2 | yes | complemented |
| 126 | #3238 | C22 | 1 | 2 | yes | complemented |
| 127 | #3237 | C22 | 1 | 2 | yes | complemented |
| 128 | #3235 | C22 | 1 | 2 | yes | complemented |
| 129 | #3231 | C22 | 1 | 1 | yes | characteristic, complemented |
| 130 | #3231 | C22 | 1 | 1 | yes | characteristic, complemented |
| 131 | #3229 | C22 | 1 | 2 | yes | complemented |
| 132 | #3228 | C22 | 1 | 1 | yes | characteristic, complemented |
| 133 | #3228 | C22 | 1 | 1 | yes | characteristic, complemented |
| 134 | #3227 | C22 | 1 | 2 | yes | complemented |
| 135 | #3218 | C22 | 1 | 2 | yes | complemented |
| 136 | #3217 | C22 | 1 | 2 | yes | complemented |
| 137 | #3216 | C22 | 1 | 2 | yes | complemented |
| 138 | #3214 | C22 | 1 | 2 | yes | complemented |
| 139 | #3210 | C22 | 1 | 1 | yes | characteristic, complemented |
| 140 | #3210 | C22 | 1 | 1 | yes | characteristic, complemented |
| 141 | #3208 | C22 | 1 | 2 | yes | complemented |
| 142 | #3207 | C22 | 1 | 1 | yes | characteristic, complemented |
| 143 | #3207 | C22 | 1 | 1 | yes | characteristic, complemented |
| 144 | #3206 | C22 | 1 | 2 | yes | complemented |
| 145 | #3204 | C22 | 1 | 8 | yes | complemented |
| 146 | #3204 | C22 | 1 | 8 | yes | complemented |
| 147 | #3201 | C22 | 1 | 8 | yes | complemented |
| 148 | #3201 | C22 | 1 | 8 | yes | complemented |
| 149 | #3200 | C22 | 1 | 8 | yes | complemented |
| 150 | #3200 | C22 | 1 | 8 | yes | complemented |
| 151 | #3198 | C22 | 1 | 8 | yes | complemented |
| 152 | #3198 | C22 | 1 | 8 | yes | complemented |
| 153 | #3191 | C22 | 1 | 4 | yes | complemented |
| 154 | #3191 | C22 | 1 | 8 | yes | complemented |
| 155 | #3190 | C22 | 1 | 4 | yes | complemented |
| 156 | #3190 | C22 | 1 | 8 | yes | complemented |
| 157 | #3188 | C22 | 1 | 4 | yes | complemented |
| 158 | #3188 | C22 | 1 | 8 | yes | complemented |
| 159 | #3187 | C22 | 1 | 4 | yes | complemented |
| 160 | #3187 | C22 | 1 | 8 | yes | complemented |
| 161 | #3181 | C22 | 1 | 4 | yes | complemented |
| 162 | #3180 | C22 | 1 | 4 | yes | complemented |
| 163 | #3170 | C22 | 1 | 1 | yes | characteristic, complemented |
| 164 | #3169 | C22 | 1 | 1 | yes | characteristic, complemented |
| 165 | #3167 | C22 | 1 | 2 | yes | complemented |
| 166 | #3167 | C22 | 1 | 2 | yes | complemented |
| 167 | #3167 | C22 | 1 | 1 | yes | characteristic, complemented |
| 168 | #3167 | C22 | 1 | 1 | yes | characteristic, complemented |
| 169 | #3116 | C22 | 1 | 4 | yes | complemented |
| 170 | #3115 | C22 | 1 | 4 | yes | complemented |
| 171 | #3113 | C22 | 1 | 2 | yes | complemented |
| 172 | #3112 | C22 | 1 | 2 | yes | complemented |
| 173 | #3110 | C22 | 1 | 2 | yes | complemented |
| 174 | #3109 | C22 | 1 | 2 | yes | complemented |
| 175 | #3103 | C22 | 1 | 2 | yes | complemented |
| 176 | #3103 | C22 | 1 | 2 | yes | complemented |
| 177 | #3102 | C22 | 1 | 4 | yes | complemented |
| 178 | #3102 | C22 | 1 | 4 | yes | complemented |
| 179 | #3101 | C22 | 1 | 2 | yes | complemented |
| 180 | #3101 | C22 | 1 | 2 | yes | complemented |
| 181 | #3099 | C22 | 1 | 8 | yes | complemented |
| 182 | #3099 | C22 | 1 | 8 | yes | complemented |
| 183 | #3097 | C22 | 1 | 8 | yes | complemented |
| 184 | #3096 | C22 | 1 | 8 | yes | complemented |
| 185 | #3056 | C22 | 1 | 8 | yes | complemented |
| 186 | #3055 | C22 | 1 | 8 | yes | complemented |
| 187 | #3050 | C22 | 1 | 8 | yes | complemented |
| 188 | C2×#465 | C22 | 1 | 8 | yes | complemented |
| 189 | #3013 | C22 | 1 | 8 | yes | complemented |
| 190 | #3012 | C22 | 1 | 8 | yes | complemented |
| 191 | #3010 | C22 | 1 | 8 | yes | complemented |
| 192 | #3009 | C22 | 1 | 8 | yes | complemented |
| 193 | #2981 | C22 | 1 | 2 | yes | complemented |
| 194 | #2981 | C22 | 1 | 2 | yes | complemented |
| 195 | #2981 | C22 | 1 | 2 | yes | complemented |
| 196 | #2981 | C22 | 1 | 2 | yes | complemented |
| 197 | #2981 | C22 | 1 | 4 | yes | complemented |
| 198 | #2981 | C22 | 1 | 4 | yes | complemented |
| 199 | C2×#436 | C22 | 1 | 2 | yes | complemented |
| 200 | C2×#435 | C22 | 1 | 4 | yes | complemented |
| 201 | C2×C8×D4 | C22 | 1 | 2 | yes | complemented |
| 202 | C2×#432 | C22 | 1 | 1 | yes | characteristic, complemented |
| 203 | C2×#431 | C22 | 1 | 1 | yes | characteristic, complemented |
| 204 | C2×#408 | C22 | 1 | 4 | yes | complemented |
| 205 | C2×2−1+4 | C23 | 1 | 4 | yes | — |
| 206 | C2×H(5,𝔽2) | — | 2 | 2 | no | — |
| 207 | C2×H(5,𝔽2) | C23 | 1 | 4 | yes | — |
| 208 | C22×#41 | — | 2 | 1 | no | — |
| 209 | C22×#41 | C23 | 1 | 2 | yes | — |
| 210 | C2×#137 | C23 | 1 | 8 | yes | — |
| 211 | C2×AGL(1,ℤ/8) | C23 | 1 | 8 | yes | — |
| 212 | C2×#135 | C23 | 1 | 8 | yes | — |
| 213 | C22×SD16 | C23 | 1 | 8 | yes | — |
| 214 | C22×M16 | C23 | 1 | 4 | yes | — |
| 215 | C23×C8 | C23 | 1 | 4 | yes | — |
| 216 | #563 | — | 2 | 4 | no | — |
| 217 | #562 | — | 2 | 4 | no | — |
| 218 | #562 | — | 2 | 4 | no | — |
| 219 | #562 | — | 2 | 8 | no | — |
| 220 | H(3,𝔽4) | — | 2 | 4 | no | — |
| 221 | #560 | — | 2 | 8 | no | — |
| 222 | #559 | — | 2 | 2 | no | — |
| 223 | #559 | — | 2 | 2 | no | — |
| 224 | #559 | — | 2 | 4 | no | — |
| 225 | #559 | — | 2 | 4 | no | — |
| 226 | #559 | — | 2 | 4 | no | — |
| 227 | Q82 | — | 2 | 2 | no | — |
| 228 | #557 | — | 2 | 2 | no | — |
| 229 | #556 | — | 2 | 2 | no | — |
| 230 | #556 | — | 2 | 4 | no | — |
| 231 | #556 | C23 | 1 | 4 | yes | — |
| 232 | #556 | C23 | 1 | 4 | yes | — |
| 233 | #556 | C23 | 1 | 4 | yes | — |
| 234 | #555 | — | 2 | 2 | no | — |
| 235 | #555 | — | 2 | 4 | no | — |
| 236 | #555 | C23 | 1 | 4 | yes | — |
| 237 | #555 | C23 | 1 | 4 | yes | — |
| 238 | #555 | C23 | 1 | 4 | yes | — |
| 239 | #554 | — | 2 | 2 | no | — |
| 240 | #554 | — | 2 | 2 | no | — |
| 241 | #554 | — | 2 | 4 | no | — |
| 242 | #554 | — | 2 | 4 | no | — |
| 243 | #554 | — | 2 | 4 | no | — |
| 244 | #554 | C23 | 1 | 4 | yes | — |
| 245 | #554 | C23 | 1 | 4 | yes | — |
| 246 | #554 | C23 | 1 | 4 | yes | — |
| 247 | #553 | — | 2 | 4 | no | — |
| 248 | #553 | — | 2 | 4 | no | — |
| 249 | #553 | — | 2 | 4 | no | — |
| 250 | #553 | — | 2 | 4 | no | — |
| 251 | #553 | — | 2 | 4 | no | — |
| 252 | #553 | — | 2 | 4 | no | — |
| 253 | #553 | C23 | 1 | 8 | yes | — |
| 254 | #552 | C23 | 1 | 8 | yes | — |
| 255 | #551 | — | 2 | 8 | no | — |
| 256 | #550 | — | 2 | 4 | no | — |
| 257 | #550 | — | 2 | 2 | no | — |
| 258 | #550 | — | 2 | 2 | no | — |
| 259 | #550 | — | 2 | 2 | no | — |
| 260 | #550 | — | 2 | 2 | no | — |
| 261 | #550 | — | 2 | 4 | no | — |
| 262 | #550 | C23 | 1 | 4 | yes | — |
| 263 | #550 | C23 | 1 | 4 | yes | — |
| 264 | #550 | C23 | 1 | 4 | yes | — |
| 265 | D4×Q8 | — | 2 | 4 | no | — |
| 266 | D4×Q8 | — | 2 | 2 | no | — |
| 267 | D4×Q8 | C23 | 1 | 4 | yes | — |
| 268 | D4×Q8 | C23 | 1 | 4 | yes | — |
| 269 | D4×Q8 | C23 | 1 | 4 | yes | — |
| 270 | #548 | — | 2 | 4 | no | — |
| 271 | #548 | — | 2 | 4 | no | — |
| 272 | #548 | — | 2 | 4 | no | — |
| 273 | #548 | — | 2 | 4 | no | — |
| 274 | #548 | — | 2 | 4 | no | — |
| 275 | #548 | C23 | 1 | 8 | yes | — |
| 276 | #547 | — | 2 | 4 | no | — |
| 277 | #547 | — | 2 | 8 | no | — |
| 278 | #547 | — | 2 | 2 | no | — |
| 279 | #547 | — | 2 | 4 | no | — |
| 280 | #547 | — | 2 | 4 | no | — |
| 281 | #547 | C23 | 1 | 4 | yes | — |
| 282 | #547 | C23 | 1 | 4 | yes | — |
| 283 | #547 | C23 | 1 | 4 | yes | — |
| 284 | #547 | C23 | 1 | 4 | yes | — |
| 285 | #547 | C23 | 1 | 4 | yes | — |
| 286 | #547 | C23 | 1 | 4 | yes | — |
| 287 | #546 | — | 2 | 4 | no | — |
| 288 | #546 | — | 2 | 8 | no | — |
| 289 | #546 | — | 2 | 8 | no | — |
| 290 | #546 | — | 2 | 4 | no | — |
| 291 | #546 | — | 2 | 4 | no | — |
| 292 | #546 | — | 2 | 4 | no | — |
| 293 | #546 | — | 2 | 4 | no | — |
| 294 | #546 | — | 2 | 4 | no | — |
| 295 | #546 | — | 2 | 4 | no | — |
| 296 | #546 | — | 2 | 8 | no | — |
| 297 | #546 | C23 | 1 | 8 | yes | — |
| 298 | D42 | — | 2 | 8 | no | — |
| 299 | D42 | — | 2 | 4 | no | — |
| 300 | D42 | — | 2 | 4 | no | — |
| 301 | D42 | — | 2 | 2 | no | — |
| 302 | D42 | — | 2 | 2 | no | — |
| 303 | D42 | — | 2 | 4 | no | — |
| 304 | D42 | — | 2 | 4 | no | — |
| 305 | D42 | C23 | 1 | 4 | yes | — |
| 306 | D42 | C23 | 1 | 4 | yes | — |
| 307 | D42 | C23 | 1 | 4 | yes | — |
| 308 | #544 | — | 2 | 4 | no | — |
| 309 | #544 | — | 2 | 2 | no | — |
| 310 | #543 | — | 2 | 4 | no | — |
| 311 | #542 | — | 2 | 4 | no | — |
| 312 | #542 | — | 2 | 4 | no | — |
| 313 | #542 | — | 2 | 4 | no | — |
| 314 | #542 | — | 2 | 8 | no | — |
| 315 | #542 | — | 2 | 4 | no | — |
| 316 | #542 | — | 2 | 4 | no | — |
| 317 | #542 | — | 2 | 4 | no | — |
| 318 | #540 | — | 2 | 4 | no | — |
| 319 | #540 | — | 2 | 4 | no | — |
| 320 | #540 | — | 2 | 4 | no | — |
| 321 | #540 | — | 2 | 4 | no | — |
| 322 | #539 | — | 2 | 4 | no | — |
| 323 | #539 | — | 2 | 8 | no | — |
| 324 | #538 | — | 2 | 8 | no | — |
| 325 | #538 | — | 2 | 4 | no | — |
| 326 | #538 | — | 2 | 8 | no | — |
| 327 | #538 | — | 2 | 4 | no | — |
| 328 | #538 | — | 2 | 4 | no | — |
| 329 | #537 | — | 2 | 4 | no | — |
| 330 | #537 | — | 2 | 4 | no | — |
| 331 | #537 | — | 2 | 4 | no | — |
| 332 | #537 | — | 2 | 2 | no | — |
| 333 | #537 | C23 | 1 | 8 | yes | — |
| 334 | #537 | C23 | 1 | 8 | yes | — |
| 335 | #537 | C23 | 1 | 4 | yes | — |
| 336 | #537 | C23 | 1 | 4 | yes | — |
| 337 | #536 | — | 2 | 4 | no | — |
| 338 | #536 | C23 | 1 | 8 | yes | — |
| 339 | #536 | C23 | 1 | 4 | yes | — |
| 340 | #535 | — | 2 | 2 | no | — |
| 341 | #535 | — | 2 | 2 | no | — |
| 342 | #535 | — | 2 | 4 | no | — |
| 343 | #535 | — | 2 | 4 | no | — |
| 344 | #535 | — | 2 | 4 | no | — |
| 345 | #535 | — | 2 | 4 | no | — |
| 346 | #535 | C23 | 1 | 8 | yes | — |
| 347 | #535 | C23 | 1 | 4 | yes | — |
| 348 | #534 | — | 2 | 4 | no | — |
| 349 | #534 | — | 2 | 4 | no | — |
| 350 | #533 | — | 2 | 2 | no | — |
| 351 | #533 | — | 2 | 2 | no | — |
| 352 | #533 | — | 2 | 1 | no | — |
| 353 | #533 | — | 2 | 1 | no | — |
| 354 | #533 | — | 2 | 1 | no | — |
| 355 | #533 | — | 2 | 1 | no | — |
| 356 | #533 | C23 | 1 | 2 | yes | — |
| 357 | #533 | C23 | 1 | 1 | yes | characteristic |
| 358 | #533 | C23 | 1 | 1 | yes | characteristic |
| 359 | #533 | C23 | 1 | 2 | yes | — |
| 360 | #533 | C23 | 1 | 2 | yes | — |
| 361 | #533 | C23 | 1 | 1 | yes | characteristic |
| 362 | #533 | C23 | 1 | 1 | yes | characteristic |
| 363 | #533 | C23 | 1 | 2 | yes | — |
| 364 | #533 | C23 | 1 | 1 | yes | characteristic |
| 365 | #533 | C23 | 1 | 1 | yes | characteristic |
| 366 | #532 | — | 2 | 2 | no | — |
| 367 | #532 | — | 2 | 2 | no | — |
| 368 | #532 | — | 2 | 2 | no | — |
| 369 | #532 | — | 2 | 2 | no | — |
| 370 | #532 | — | 2 | 4 | no | — |
| 371 | #532 | — | 2 | 1 | no | — |
| 372 | #532 | — | 2 | 1 | no | — |
| 373 | #532 | — | 2 | 1 | no | — |
| 374 | #532 | — | 2 | 1 | no | — |
| 375 | #532 | D4 | 1 | 2 | yes | — |
| 376 | #532 | D4 | 1 | 2 | yes | — |
| 377 | #532 | D4 | 1 | 2 | yes | — |
| 378 | #532 | D4 | 1 | 2 | yes | — |
| 379 | #532 | C23 | 1 | 1 | yes | characteristic |
| 380 | #532 | C23 | 1 | 1 | yes | characteristic |
| 381 | #532 | C23 | 1 | 2 | yes | — |
| 382 | #532 | C23 | 1 | 1 | yes | characteristic |
| 383 | #532 | C23 | 1 | 1 | yes | characteristic |
| 384 | #532 | C23 | 1 | 2 | yes | — |
| 385 | #532 | C23 | 1 | 2 | yes | — |
| 386 | #532 | C23 | 1 | 1 | yes | characteristic |
| 387 | #532 | C23 | 1 | 1 | yes | characteristic |
| 388 | #532 | C23 | 1 | 2 | yes | — |
| 389 | #532 | C23 | 1 | 2 | yes | — |
| 390 | #532 | C23 | 1 | 2 | yes | — |
| 391 | #532 | C23 | 1 | 2 | yes | — |
| 392 | #532 | C23 | 1 | 2 | yes | — |
| 393 | C2×C4⋊Q8 | — | 2 | 2 | no | — |
| 394 | C2×C4⋊Q8 | D4 | 1 | 1 | yes | characteristic |
| 395 | C2×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 396 | C2×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 397 | C2×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 398 | C2×#127 | — | 2 | 2 | no | — |
| 399 | C2×#127 | D4 | 1 | 1 | yes | characteristic |
| 400 | C2×#127 | C23 | 1 | 1 | yes | characteristic |
| 401 | #529 | — | 2 | 4 | no | — |
| 402 | #529 | — | 2 | 1 | no | — |
| 403 | #529 | — | 2 | 1 | no | — |
| 404 | #529 | — | 2 | 1 | no | — |
| 405 | #529 | — | 2 | 1 | no | — |
| 406 | #529 | — | 2 | 1 | no | — |
| 407 | #529 | — | 2 | 1 | no | — |
| 408 | #529 | — | 2 | 1 | no | — |
| 409 | #529 | — | 2 | 1 | no | — |
| 410 | #529 | C23 | 1 | 2 | yes | — |
| 411 | #529 | C23 | 1 | 2 | yes | — |
| 412 | #529 | C23 | 1 | 2 | yes | — |
| 413 | #529 | C23 | 1 | 2 | yes | — |
| 414 | C2×#125 | — | 2 | 1 | no | — |
| 415 | C2×#124 | — | 2 | 1 | no | — |
| 416 | C2×#124 | D4 | 1 | 2 | yes | — |
| 417 | #525 | — | 2 | 1 | no | — |
| 418 | #525 | — | 2 | 1 | no | — |
| 419 | #525 | — | 2 | 1 | no | — |
| 420 | #525 | — | 2 | 1 | no | — |
| 421 | #525 | — | 2 | 4 | no | — |
| 422 | #525 | C23 | 1 | 2 | yes | — |
| 423 | #525 | C23 | 1 | 8 | yes | — |
| 424 | #525 | C23 | 1 | 2 | yes | — |
| 425 | #525 | C23 | 1 | 8 | yes | — |
| 426 | C2×C22⋊Q8 | — | 2 | 1 | no | — |
| 427 | C2×C22⋊Q8 | C23 | 1 | 2 | yes | — |
| 428 | C2×C22⋊Q8 | C23 | 1 | 8 | yes | — |
| 429 | C2×#121 | — | 2 | 1 | no | — |
| 430 | C2×#121 | — | 2 | 4 | no | — |
| 431 | C2×#121 | D4 | 1 | 2 | yes | — |
| 432 | C2×#121 | D4 | 1 | 2 | yes | — |
| 433 | C2×#121 | C23 | 1 | 2 | yes | — |
| 434 | C2×#121 | C23 | 1 | 8 | yes | — |
| 435 | #520 | — | 2 | 4 | no | — |
| 436 | #520 | — | 2 | 2 | no | — |
| 437 | #520 | — | 2 | 2 | no | — |
| 438 | #520 | C23 | 1 | 4 | yes | — |
| 439 | #520 | C23 | 1 | 4 | yes | — |
| 440 | #518 | — | 2 | 2 | no | — |
| 441 | #518 | — | 2 | 4 | no | — |
| 442 | C4×#41 | — | 2 | 1 | no | — |
| 443 | C4×#41 | — | 2 | 1 | no | — |
| 444 | C4×#41 | — | 2 | 1 | no | — |
| 445 | C4×#41 | — | 2 | 1 | no | — |
| 446 | C4×#41 | C23 | 1 | 2 | yes | — |
| 447 | C4×#41 | C23 | 1 | 2 | yes | — |
| 448 | C2×C4×Q8 | — | 2 | 1 | no | — |
| 449 | C2×C4×Q8 | C23 | 1 | 2 | yes | — |
| 450 | C2×C4×D4 | — | 2 | 1 | no | — |
| 451 | C2×C4×D4 | C23 | 1 | 2 | yes | — |
| 452 | C2×C4×D4 | C23 | 1 | 2 | yes | — |
| 453 | C2×C4×D4 | C23 | 1 | 2 | yes | — |
| 454 | C2×#117 | — | 2 | 1 | no | — |
| 455 | C22×C42 | C23 | 1 | 1 | yes | characteristic |
| 456 | #501 | C23 | 1 | 4 | yes | — |
| 457 | #501 | C23 | 1 | 4 | yes | — |
| 458 | #500 | C23 | 1 | 1 | yes | characteristic |
| 459 | #500 | C23 | 1 | 1 | yes | characteristic |
| 460 | #498 | C23 | 1 | 1 | yes | characteristic |
| 461 | #498 | C23 | 1 | 2 | yes | — |
| 462 | #498 | C23 | 1 | 1 | yes | characteristic |
| 463 | #498 | C23 | 1 | 2 | yes | — |
| 464 | #497 | C23 | 1 | 4 | yes | — |
| 465 | #496 | C23 | 1 | 4 | yes | — |
| 466 | #494 | C23 | 1 | 1 | yes | characteristic |
| 467 | #493 | C23 | 1 | 1 | yes | characteristic |
| 468 | #492 | C23 | 1 | 2 | yes | — |
| 469 | #492 | C23 | 1 | 2 | yes | — |
| 470 | #492 | C23 | 1 | 1 | yes | characteristic |
| 471 | #492 | C23 | 1 | 1 | yes | characteristic |
| 472 | #491 | C23 | 1 | 4 | yes | — |
| 473 | #490 | C23 | 1 | 4 | yes | — |
| 474 | #489 | C23 | 1 | 4 | yes | — |
| 475 | #489 | C23 | 1 | 4 | yes | — |
| 476 | #487 | C23 | 1 | 2 | yes | — |
| 477 | #487 | C23 | 1 | 1 | yes | characteristic |
| 478 | #487 | C23 | 1 | 1 | yes | characteristic |
| 479 | #487 | C23 | 1 | 2 | yes | — |
| 480 | #487 | C23 | 1 | 1 | yes | characteristic |
| 481 | #487 | C23 | 1 | 1 | yes | characteristic |
| 482 | #486 | C23 | 1 | 1 | yes | characteristic |
| 483 | #486 | C23 | 1 | 2 | yes | — |
| 484 | #486 | C23 | 1 | 1 | yes | characteristic |
| 485 | #486 | C23 | 1 | 1 | yes | characteristic |
| 486 | #486 | C23 | 1 | 2 | yes | — |
| 487 | #486 | C23 | 1 | 1 | yes | characteristic |
| 488 | #485 | C23 | 1 | 8 | yes | — |
| 489 | #485 | C23 | 1 | 8 | yes | — |
| 490 | #485 | C23 | 1 | 8 | yes | — |
| 491 | #485 | C23 | 1 | 8 | yes | — |
| 492 | #485 | C23 | 1 | 4 | yes | — |
| 493 | #485 | C23 | 1 | 8 | yes | — |
| 494 | #485 | C23 | 1 | 4 | yes | — |
| 495 | #484 | C23 | 1 | 8 | yes | — |
| 496 | #484 | C23 | 1 | 4 | yes | — |
| 497 | #483 | C23 | 1 | 8 | yes | — |
| 498 | #483 | C23 | 1 | 8 | yes | — |
| 499 | #483 | C23 | 1 | 8 | yes | — |
| 500 | #483 | C23 | 1 | 4 | yes | — |
| 501 | #483 | C23 | 1 | 4 | yes | — |
| 502 | #483 | C23 | 1 | 4 | yes | — |
| 503 | #482 | C23 | 1 | 8 | yes | — |
| 504 | #482 | C23 | 1 | 8 | yes | — |
| 505 | #482 | C23 | 1 | 8 | yes | — |
| 506 | #482 | C23 | 1 | 8 | yes | — |
| 507 | #482 | C23 | 1 | 4 | yes | — |
| 508 | #482 | C23 | 1 | 8 | yes | — |
| 509 | #482 | C23 | 1 | 4 | yes | — |
| 510 | #481 | C23 | 1 | 8 | yes | — |
| 511 | #481 | C23 | 1 | 8 | yes | — |
| 512 | #481 | C23 | 1 | 8 | yes | — |
| 513 | #481 | C23 | 1 | 4 | yes | — |
| 514 | #481 | C23 | 1 | 4 | yes | — |
| 515 | #481 | C23 | 1 | 4 | yes | — |
| 516 | #480 | C23 | 1 | 8 | yes | — |
| 517 | #480 | C23 | 1 | 4 | yes | — |
| 518 | #479 | C23 | 1 | 4 | yes | — |
| 519 | #479 | C23 | 1 | 4 | yes | — |
| 520 | #478 | C23 | 1 | 4 | yes | — |
| 521 | #478 | C23 | 1 | 4 | yes | — |
| 522 | #477 | C23 | 1 | 4 | yes | — |
| 523 | #477 | C23 | 1 | 4 | yes | — |
| 524 | #476 | C23 | 1 | 4 | yes | — |
| 525 | #476 | C23 | 1 | 4 | yes | — |
| 526 | #476 | C23 | 1 | 4 | yes | — |
| 527 | #476 | C23 | 1 | 4 | yes | — |
| 528 | #475 | C23 | 1 | 4 | yes | — |
| 529 | #475 | C23 | 1 | 4 | yes | — |
| 530 | #475 | C23 | 1 | 4 | yes | — |
| 531 | #475 | C23 | 1 | 4 | yes | — |
| 532 | #474 | C23 | 1 | 4 | yes | — |
| 533 | #474 | C23 | 1 | 4 | yes | — |
| 534 | #470 | C23 | 1 | 8 | yes | — |
| 535 | #470 | C23 | 1 | 8 | yes | — |
| 536 | #469 | C23 | 1 | 8 | yes | — |
| 537 | #469 | C23 | 1 | 8 | yes | — |
| 538 | #468 | C23 | 1 | 8 | yes | — |
| 539 | #468 | C23 | 1 | 8 | yes | — |
| 540 | #468 | C23 | 1 | 8 | yes | — |
| 541 | #468 | C23 | 1 | 8 | yes | — |
| 542 | #467 | C23 | 1 | 8 | yes | — |
| 543 | #467 | C23 | 1 | 4 | yes | — |
| 544 | #467 | C23 | 1 | 8 | yes | — |
| 545 | #466 | C23 | 1 | 8 | yes | — |
| 546 | #466 | C23 | 1 | 4 | yes | — |
| 547 | #466 | C23 | 1 | 8 | yes | — |
| 548 | #465 | C23 | 1 | 8 | yes | — |
| 549 | #465 | C23 | 1 | 8 | yes | — |
| 550 | #465 | C23 | 1 | 8 | yes | — |
| 551 | #465 | C23 | 1 | 8 | yes | — |
| 552 | #465 | C23 | 1 | 8 | yes | — |
| 553 | #465 | C23 | 1 | 8 | yes | — |
| 554 | #465 | C23 | 1 | 4 | yes | — |
| 555 | #465 | C23 | 1 | 4 | yes | — |
| 556 | #465 | C23 | 1 | 4 | yes | — |
| 557 | #465 | C23 | 1 | 4 | yes | — |
| 558 | #465 | C23 | 1 | 4 | yes | — |
| 559 | #465 | C23 | 1 | 4 | yes | — |
| 560 | #465 | C23 | 1 | 8 | yes | — |
| 561 | #465 | C23 | 1 | 8 | yes | — |
| 562 | #464 | C23 | 1 | 4 | yes | — |
| 563 | #464 | C23 | 1 | 4 | yes | — |
| 564 | #463 | C23 | 1 | 4 | yes | — |
| 565 | #463 | C23 | 1 | 4 | yes | — |
| 566 | #462 | C23 | 1 | 4 | yes | — |
| 567 | #462 | C23 | 1 | 4 | yes | — |
| 568 | #461 | C23 | 1 | 4 | yes | — |
| 569 | #461 | C23 | 1 | 4 | yes | — |
| 570 | #461 | C23 | 1 | 4 | yes | — |
| 571 | #461 | C23 | 1 | 4 | yes | — |
| 572 | #460 | C23 | 1 | 4 | yes | — |
| 573 | #460 | C23 | 1 | 4 | yes | — |
| 574 | #460 | C23 | 1 | 4 | yes | — |
| 575 | #460 | C23 | 1 | 4 | yes | — |
| 576 | #459 | C23 | 1 | 4 | yes | — |
| 577 | #459 | C23 | 1 | 4 | yes | — |
| 578 | #452 | C23 | 1 | 8 | yes | — |
| 579 | #452 | C23 | 1 | 8 | yes | — |
| 580 | #452 | C23 | 1 | 4 | yes | — |
| 581 | #452 | C23 | 1 | 4 | yes | — |
| 582 | #452 | C23 | 1 | 8 | yes | — |
| 583 | #452 | C23 | 1 | 8 | yes | — |
| 584 | #452 | C23 | 1 | 8 | yes | — |
| 585 | #451 | C23 | 1 | 8 | yes | — |
| 586 | #451 | C23 | 1 | 4 | yes | — |
| 587 | #450 | C23 | 1 | 4 | yes | — |
| 588 | #450 | C23 | 1 | 4 | yes | — |
| 589 | #450 | C23 | 1 | 4 | yes | — |
| 590 | #450 | C23 | 1 | 8 | yes | — |
| 591 | #450 | C23 | 1 | 8 | yes | — |
| 592 | #450 | C23 | 1 | 8 | yes | — |
| 593 | #449 | C23 | 1 | 8 | yes | — |
| 594 | #449 | C23 | 1 | 8 | yes | — |
| 595 | #449 | C23 | 1 | 4 | yes | — |
| 596 | #449 | C23 | 1 | 4 | yes | — |
| 597 | #449 | C23 | 1 | 8 | yes | — |
| 598 | #449 | C23 | 1 | 8 | yes | — |
| 599 | #449 | C23 | 1 | 8 | yes | — |
| 600 | #448 | C23 | 1 | 8 | yes | — |
| 601 | #448 | C23 | 1 | 4 | yes | — |
| 602 | #448 | C23 | 1 | 4 | yes | — |
| 603 | #448 | C23 | 1 | 4 | yes | — |
| 604 | #448 | C23 | 1 | 8 | yes | — |
| 605 | #448 | C23 | 1 | 8 | yes | — |
| 606 | #447 | C23 | 1 | 4 | yes | — |
| 607 | #447 | C23 | 1 | 8 | yes | — |
| 608 | #442 | C23 | 1 | 8 | yes | — |
| 609 | #441 | C23 | 1 | 8 | yes | — |
| 610 | #440 | C23 | 1 | 8 | yes | — |
| 611 | #440 | C23 | 1 | 8 | yes | — |
| 612 | C4×Q16 | C23 | 1 | 4 | yes | — |
| 613 | C4×SD16 | C23 | 1 | 4 | yes | — |
| 614 | C4×SD16 | C23 | 1 | 4 | yes | — |
| 615 | C4×SD16 | C23 | 1 | 4 | yes | — |
| 616 | C4×SD16 | C23 | 1 | 4 | yes | — |
| 617 | C4×SD16 | C23 | 1 | 4 | yes | — |
| 618 | C4×SD16 | C23 | 1 | 4 | yes | — |
| 619 | C4×D8 | C23 | 1 | 4 | yes | — |
| 620 | #436 | C23 | 1 | 4 | yes | — |
| 621 | #436 | C23 | 1 | 4 | yes | — |
| 622 | #436 | C23 | 1 | 4 | yes | — |
| 623 | #436 | C23 | 1 | 4 | yes | — |
| 624 | #435 | C23 | 1 | 8 | yes | — |
| 625 | #435 | C23 | 1 | 8 | yes | — |
| 626 | #435 | C23 | 1 | 8 | yes | — |
| 627 | #435 | C23 | 1 | 8 | yes | — |
| 628 | C8×D4 | C23 | 1 | 4 | yes | — |
| 629 | C8×D4 | C23 | 1 | 4 | yes | — |
| 630 | C8×D4 | C23 | 1 | 4 | yes | — |
| 631 | C8×D4 | C23 | 1 | 4 | yes | — |
| 632 | #432 | C23 | 1 | 2 | yes | — |
| 633 | #432 | C23 | 1 | 2 | yes | — |
| 634 | #432 | C23 | 1 | 2 | yes | — |
| 635 | #432 | C23 | 1 | 2 | yes | — |
| 636 | #431 | C23 | 1 | 1 | yes | characteristic |
| 637 | #431 | C23 | 1 | 1 | yes | characteristic |
| 638 | #431 | C23 | 1 | 2 | yes | — |
| 639 | #431 | C23 | 1 | 2 | yes | — |
| 640 | #431 | C23 | 1 | 1 | yes | characteristic |
| 641 | #431 | C23 | 1 | 1 | yes | characteristic |
| 642 | #428 | C23 | 1 | 8 | yes | — |
| 643 | #428 | C23 | 1 | 8 | yes | — |
| 644 | #427 | C23 | 1 | 8 | yes | — |
| 645 | C2×#106 | C23 | 1 | 8 | yes | — |
| 646 | C2×C4⋊C8 | C23 | 1 | 2 | yes | — |
| 647 | C2×C4⋊C8 | C23 | 1 | 2 | yes | — |
| 648 | #419 | C23 | 1 | 8 | yes | — |
| 649 | #418 | C23 | 1 | 8 | yes | — |
| 650 | #417 | C23 | 1 | 8 | yes | — |
| 651 | #417 | C23 | 1 | 8 | yes | — |
| 652 | #416 | C23 | 1 | 8 | yes | — |
| 653 | #416 | C23 | 1 | 8 | yes | — |
| 654 | C2×#103 | C23 | 1 | 8 | yes | — |
| 655 | C2×#102 | C23 | 1 | 8 | yes | — |
| 656 | #408 | C23 | 1 | 8 | yes | — |
| 657 | #408 | C23 | 1 | 8 | yes | — |
| 658 | #408 | C23 | 1 | 8 | yes | — |
| 659 | #408 | C23 | 1 | 8 | yes | — |
| 660 | C2×C22⋊C8 | C23 | 1 | 2 | yes | — |
| 661 | C2×C22⋊C8 | C23 | 1 | 2 | yes | — |
| 662 | C2×C22⋊C8 | C23 | 1 | 4 | yes | — |
| 663 | C2×C22⋊C8 | C23 | 1 | 4 | yes | — |
| 664 | C2×#97 | C23 | 1 | 2 | yes | — |
| 665 | C2×C4×C8 | C23 | 1 | 1 | yes | characteristic |
| 666 | C2×C4×C8 | C23 | 1 | 1 | yes | characteristic |
| 667 | 2−1+4 | — | 8 | 8 | no | — |
| 668 | H(5,𝔽2) | — | 8 | 8 | no | — |
| 669 | H(5,𝔽2) | — | 8 | 8 | no | — |
| 670 | C2×#41 | — | 2 | 4 | no | — |
| 671 | C2×#41 | — | 2 | 4 | no | — |
| 672 | C2×#41 | — | 2 | 4 | no | — |
| 673 | C2×#41 | — | 2 | 4 | no | — |
| 674 | C2×#41 | — | 2 | 4 | no | — |
| 675 | C2×#41 | — | 2 | 8 | no | — |
| 676 | C2×#41 | — | 2 | 1 | no | — |
| 677 | C2×#41 | — | 2 | 1 | no | — |
| 678 | C2×#41 | — | 2 | 2 | no | — |
| 679 | C2×#41 | — | 2 | 1 | no | — |
| 680 | C2×#41 | — | 2 | 1 | no | — |
| 681 | C2×#41 | — | 2 | 2 | no | — |
| 682 | C2×#41 | — | 2 | 2 | no | — |
| 683 | C2×#41 | — | 2 | 2 | no | — |
| 684 | C2×#41 | — | 8 | 4 | no | — |
| 685 | C2×#41 | — | 8 | 4 | no | — |
| 686 | C2×#41 | C2×D4 | 1 | 4 | yes | — |
| 687 | C2×#41 | C2×D4 | 1 | 4 | yes | — |
| 688 | C2×#41 | C24 | 1 | 2 | yes | — |
| 689 | C2×#41 | C24 | 1 | 2 | yes | — |
| 690 | C2×#41 | C24 | 1 | 8 | yes | — |
| 691 | C2×#41 | C24 | 1 | 8 | yes | — |
| 692 | C2×#41 | C24 | 1 | 4 | yes | — |
| 693 | C2×#41 | C24 | 1 | 4 | yes | — |
| 694 | C22×Q8 | — | 2 | 4 | no | — |
| 695 | C22×Q8 | — | 2 | 1 | no | — |
| 696 | C22×Q8 | — | 2 | 1 | no | — |
| 697 | C22×Q8 | C2×D4 | 1 | 2 | yes | — |
| 698 | C22×Q8 | C24 | 1 | 2 | yes | — |
| 699 | C22×Q8 | C24 | 1 | 8 | yes | — |
| 700 | C22×D4 | — | 2 | 2 | no | — |
| 701 | C22×D4 | — | 2 | 8 | no | — |
| 702 | C22×D4 | — | 2 | 4 | no | — |
| 703 | C22×D4 | — | 2 | 8 | no | — |
| 704 | C22×D4 | — | 2 | 4 | no | — |
| 705 | C22×D4 | — | 2 | 4 | no | — |
| 706 | C22×D4 | — | 2 | 4 | no | — |
| 707 | C22×D4 | — | 2 | 1 | no | — |
| 708 | C22×D4 | — | 2 | 1 | no | — |
| 709 | C22×D4 | C2×D4 | 1 | 2 | yes | — |
| 710 | C22×D4 | C2×D4 | 1 | 2 | yes | — |
| 711 | C22×D4 | C2×D4 | 1 | 4 | yes | — |
| 712 | C22×D4 | C2×D4 | 1 | 2 | yes | — |
| 713 | C22×D4 | C24 | 1 | 2 | yes | — |
| 714 | C22×D4 | C24 | 1 | 8 | yes | — |
| 715 | C23×C4 | — | 2 | 2 | no | — |
| 716 | C23×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 717 | C23×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 718 | C23×C4 | C24 | 1 | 4 | yes | — |
| 719 | C23×C4 | C24 | 1 | 1 | yes | characteristic |
| 720 | #137 | — | 8 | 8 | no | — |
| 721 | AGL(1,ℤ/8) | — | 8 | 8 | no | — |
| 722 | #135 | — | 8 | 8 | no | — |
| 723 | C2×Q16 | C24 | 1 | 8 | yes | — |
| 724 | C2×Q16 | C24 | 1 | 4 | yes | — |
| 725 | C2×SD16 | — | 8 | 8 | no | — |
| 726 | C2×SD16 | C24 | 1 | 4 | yes | — |
| 727 | C2×SD16 | C24 | 1 | 4 | yes | — |
| 728 | C2×SD16 | C24 | 1 | 8 | yes | — |
| 729 | C2×SD16 | C24 | 1 | 8 | yes | — |
| 730 | C2×SD16 | C24 | 1 | 4 | yes | — |
| 731 | C2×SD16 | C24 | 1 | 4 | yes | — |
| 732 | C2×SD16 | C24 | 1 | 4 | yes | — |
| 733 | C2×SD16 | C24 | 1 | 4 | yes | — |
| 734 | C2×D8 | C24 | 1 | 8 | yes | — |
| 735 | C2×D8 | C24 | 1 | 4 | yes | — |
| 736 | C2×M16 | — | 8 | 4 | no | — |
| 737 | C2×M16 | C24 | 1 | 8 | yes | — |
| 738 | C2×M16 | C24 | 1 | 8 | yes | — |
| 739 | C22×C8 | — | 8 | 4 | no | — |
| 740 | C22×C8 | C24 | 1 | 2 | yes | — |
| 741 | C22×C8 | C24 | 1 | 4 | yes | — |
| 742 | C22×C8 | C24 | 1 | 8 | yes | — |
| 743 | C22×C8 | C24 | 1 | 8 | yes | — |
| 744 | C22×C8 | C24 | 1 | 2 | yes | — |
| 745 | C4⋊Q8 | — | 2 | 4 | no | — |
| 746 | C4⋊Q8 | — | 2 | 8 | no | — |
| 747 | C4⋊Q8 | — | 2 | 4 | no | — |
| 748 | C4⋊Q8 | — | 2 | 4 | no | — |
| 749 | C4⋊Q8 | — | 2 | 4 | no | — |
| 750 | C4⋊Q8 | — | 2 | 1 | no | — |
| 751 | C4⋊Q8 | — | 2 | 1 | no | — |
| 752 | C4⋊Q8 | — | 2 | 1 | no | — |
| 753 | C4⋊Q8 | — | 2 | 1 | no | — |
| 754 | C4⋊Q8 | — | 2 | 1 | no | — |
| 755 | C4⋊Q8 | — | 2 | 1 | no | — |
| 756 | C4⋊Q8 | C2×D4 | 1 | 2 | yes | — |
| 757 | C4⋊Q8 | C2×D4 | 1 | 2 | yes | — |
| 758 | C4⋊Q8 | C2×D4 | 1 | 2 | yes | — |
| 759 | C4⋊Q8 | C2×D4 | 1 | 2 | yes | — |
| 760 | C4⋊Q8 | C24 | 1 | 2 | yes | — |
| 761 | C4⋊Q8 | C24 | 1 | 2 | yes | — |
| 762 | C4⋊Q8 | C24 | 1 | 1 | yes | characteristic |
| 763 | C4⋊Q8 | C24 | 1 | 1 | yes | characteristic |
| 764 | C4⋊Q8 | C24 | 1 | 2 | yes | — |
| 765 | C4⋊Q8 | C24 | 1 | 2 | yes | — |
| 766 | C4⋊Q8 | C24 | 1 | 2 | yes | — |
| 767 | C4⋊Q8 | C24 | 1 | 2 | yes | — |
| 768 | C4⋊Q8 | C24 | 1 | 1 | yes | characteristic |
| 769 | C4⋊Q8 | C24 | 1 | 1 | yes | characteristic |
| 770 | C4⋊Q8 | C24 | 1 | 1 | yes | characteristic |
| 771 | C4⋊Q8 | C24 | 1 | 1 | yes | characteristic |
| 772 | #127 | — | 2 | 4 | no | — |
| 773 | #127 | — | 2 | 4 | no | — |
| 774 | #127 | — | 2 | 4 | no | — |
| 775 | #127 | — | 2 | 4 | no | — |
| 776 | #127 | — | 2 | 8 | no | — |
| 777 | #127 | — | 2 | 1 | no | — |
| 778 | #127 | — | 2 | 1 | no | — |
| 779 | #127 | C2×D4 | 1 | 2 | yes | — |
| 780 | #127 | C2×D4 | 1 | 2 | yes | — |
| 781 | #127 | C2×D4 | 1 | 2 | yes | — |
| 782 | #127 | C2×D4 | 1 | 2 | yes | — |
| 783 | #127 | C24 | 1 | 2 | yes | — |
| 784 | #127 | C24 | 1 | 2 | yes | — |
| 785 | #127 | C24 | 1 | 1 | yes | characteristic |
| 786 | #127 | C24 | 1 | 1 | yes | characteristic |
| 787 | #126 | — | 2 | 8 | no | — |
| 788 | #126 | — | 2 | 8 | no | — |
| 789 | #126 | — | 2 | 8 | no | — |
| 790 | #126 | — | 2 | 8 | no | — |
| 791 | #126 | — | 2 | 8 | no | — |
| 792 | #126 | — | 2 | 2 | no | — |
| 793 | #126 | — | 2 | 2 | no | — |
| 794 | #126 | — | 2 | 2 | no | — |
| 795 | #126 | — | 2 | 2 | no | — |
| 796 | #125 | — | 2 | 4 | no | — |
| 797 | #125 | — | 2 | 4 | no | — |
| 798 | #125 | — | 2 | 4 | no | — |
| 799 | #125 | — | 2 | 8 | no | — |
| 800 | #125 | — | 2 | 2 | no | — |
| 801 | #125 | — | 2 | 2 | no | — |
| 802 | #125 | — | 2 | 2 | no | — |
| 803 | #125 | — | 2 | 2 | no | — |
| 804 | #125 | — | 2 | 1 | no | — |
| 805 | #125 | — | 2 | 1 | no | — |
| 806 | #125 | — | 2 | 1 | no | — |
| 807 | #125 | — | 2 | 1 | no | — |
| 808 | #125 | C24 | 1 | 2 | yes | — |
| 809 | #125 | C24 | 1 | 2 | yes | — |
| 810 | #124 | — | 2 | 4 | no | — |
| 811 | #124 | — | 2 | 8 | no | — |
| 812 | #124 | — | 2 | 4 | no | — |
| 813 | #124 | — | 2 | 4 | no | — |
| 814 | #124 | — | 2 | 4 | no | — |
| 815 | #124 | — | 2 | 4 | no | — |
| 816 | #124 | — | 2 | 8 | no | — |
| 817 | #124 | — | 2 | 8 | no | — |
| 818 | #124 | — | 2 | 8 | no | — |
| 819 | #124 | — | 2 | 8 | no | — |
| 820 | #124 | — | 2 | 8 | no | — |
| 821 | #124 | — | 2 | 2 | no | — |
| 822 | #124 | — | 2 | 2 | no | — |
| 823 | #124 | — | 2 | 2 | no | — |
| 824 | #124 | — | 2 | 2 | no | — |
| 825 | #124 | — | 2 | 1 | no | — |
| 826 | #124 | — | 2 | 1 | no | — |
| 827 | #124 | — | 2 | 1 | no | — |
| 828 | #124 | — | 2 | 1 | no | — |
| 829 | #124 | C2×D4 | 1 | 4 | yes | — |
| 830 | #124 | C2×D4 | 1 | 4 | yes | — |
| 831 | #124 | C2×D4 | 1 | 4 | yes | — |
| 832 | #124 | C2×D4 | 1 | 4 | yes | — |
| 833 | #124 | C24 | 1 | 2 | yes | — |
| 834 | #124 | C24 | 1 | 2 | yes | — |
| 835 | #123 | — | 2 | 8 | no | — |
| 836 | #123 | — | 2 | 8 | no | — |
| 837 | #123 | — | 2 | 8 | no | — |
| 838 | #123 | — | 2 | 8 | no | — |
| 839 | #123 | — | 2 | 2 | no | — |
| 840 | #123 | — | 2 | 2 | no | — |
| 841 | #123 | — | 2 | 2 | no | — |
| 842 | #123 | — | 2 | 2 | no | — |
| 843 | #123 | — | 2 | 2 | no | — |
| 844 | #123 | — | 2 | 2 | no | — |
| 845 | #123 | — | 2 | 8 | no | — |
| 846 | #123 | — | 2 | 8 | no | — |
| 847 | #123 | — | 2 | 8 | no | — |
| 848 | #123 | — | 2 | 8 | no | — |
| 849 | #123 | — | 2 | 8 | no | — |
| 850 | #123 | — | 2 | 8 | no | — |
| 851 | #123 | — | 2 | 8 | no | — |
| 852 | #123 | — | 2 | 8 | no | — |
| 853 | #123 | — | 2 | 8 | no | — |
| 854 | #123 | — | 2 | 8 | no | — |
| 855 | C22⋊Q8 | — | 2 | 4 | no | — |
| 856 | C22⋊Q8 | — | 2 | 4 | no | — |
| 857 | C22⋊Q8 | — | 2 | 8 | no | — |
| 858 | C22⋊Q8 | — | 2 | 8 | no | — |
| 859 | C22⋊Q8 | — | 2 | 2 | no | — |
| 860 | C22⋊Q8 | — | 2 | 2 | no | — |
| 861 | C22⋊Q8 | — | 2 | 2 | no | — |
| 862 | C22⋊Q8 | — | 2 | 2 | no | — |
| 863 | C22⋊Q8 | — | 2 | 2 | no | — |
| 864 | C22⋊Q8 | — | 2 | 2 | no | — |
| 865 | C22⋊Q8 | — | 2 | 8 | no | — |
| 866 | C22⋊Q8 | — | 2 | 8 | no | — |
| 867 | C22⋊Q8 | — | 2 | 1 | no | — |
| 868 | C22⋊Q8 | — | 2 | 1 | no | — |
| 869 | C22⋊Q8 | — | 2 | 1 | no | — |
| 870 | C22⋊Q8 | — | 2 | 1 | no | — |
| 871 | C22⋊Q8 | — | 2 | 1 | no | — |
| 872 | C22⋊Q8 | — | 2 | 1 | no | — |
| 873 | C22⋊Q8 | — | 2 | 1 | no | — |
| 874 | C22⋊Q8 | — | 2 | 1 | no | — |
| 875 | C22⋊Q8 | — | 2 | 4 | no | — |
| 876 | C22⋊Q8 | — | 2 | 4 | no | — |
| 877 | C22⋊Q8 | — | 2 | 4 | no | — |
| 878 | C22⋊Q8 | — | 2 | 8 | no | — |
| 879 | C22⋊Q8 | — | 2 | 8 | no | — |
| 880 | C22⋊Q8 | — | 2 | 8 | no | — |
| 881 | C22⋊Q8 | — | 2 | 8 | no | — |
| 882 | C22⋊Q8 | — | 2 | 8 | no | — |
| 883 | C22⋊Q8 | — | 2 | 8 | no | — |
| 884 | C22⋊Q8 | — | 2 | 8 | no | — |
| 885 | C22⋊Q8 | C24 | 1 | 2 | yes | — |
| 886 | C22⋊Q8 | C24 | 1 | 4 | yes | — |
| 887 | C22⋊Q8 | C24 | 1 | 4 | yes | — |
| 888 | C22⋊Q8 | C24 | 1 | 8 | yes | — |
| 889 | C22⋊Q8 | C24 | 1 | 8 | yes | — |
| 890 | C22⋊Q8 | C24 | 1 | 2 | yes | — |
| 891 | C22⋊Q8 | C24 | 1 | 2 | yes | — |
| 892 | C22⋊Q8 | C24 | 1 | 2 | yes | — |
| 893 | C22⋊Q8 | C24 | 1 | 8 | yes | — |
| 894 | C22⋊Q8 | C24 | 1 | 8 | yes | — |
| 895 | #121 | — | 2 | 8 | no | — |
| 896 | #121 | — | 2 | 4 | no | — |
| 897 | #121 | — | 2 | 4 | no | — |
| 898 | #121 | — | 2 | 4 | no | — |
| 899 | #121 | — | 2 | 4 | no | — |
| 900 | #121 | — | 2 | 4 | no | — |
| 901 | #121 | — | 2 | 8 | no | — |
| 902 | #121 | — | 2 | 4 | no | — |
| 903 | #121 | — | 2 | 4 | no | — |
| 904 | #121 | — | 2 | 4 | no | — |
| 905 | #121 | — | 2 | 8 | no | — |
| 906 | #121 | — | 2 | 8 | no | — |
| 907 | #121 | — | 2 | 8 | no | — |
| 908 | #121 | — | 2 | 8 | no | — |
| 909 | #121 | — | 2 | 8 | no | — |
| 910 | #121 | — | 2 | 8 | no | — |
| 911 | #121 | — | 2 | 8 | no | — |
| 912 | #121 | — | 2 | 8 | no | — |
| 913 | #121 | — | 2 | 1 | no | — |
| 914 | #121 | — | 2 | 2 | no | — |
| 915 | #121 | — | 2 | 2 | no | — |
| 916 | #121 | — | 2 | 2 | no | — |
| 917 | #121 | — | 2 | 2 | no | — |
| 918 | #121 | — | 2 | 2 | no | — |
| 919 | #121 | — | 2 | 2 | no | — |
| 920 | #121 | — | 2 | 8 | no | — |
| 921 | #121 | — | 2 | 8 | no | — |
| 922 | #121 | — | 2 | 1 | no | — |
| 923 | #121 | — | 2 | 1 | no | — |
| 924 | #121 | — | 2 | 1 | no | — |
| 925 | #121 | — | 2 | 1 | no | — |
| 926 | #121 | — | 2 | 1 | no | — |
| 927 | #121 | — | 2 | 1 | no | — |
| 928 | #121 | — | 2 | 1 | no | — |
| 929 | #121 | — | 2 | 4 | no | — |
| 930 | #121 | — | 2 | 4 | no | — |
| 931 | #121 | — | 2 | 4 | no | — |
| 932 | #121 | — | 2 | 8 | no | — |
| 933 | #121 | — | 2 | 8 | no | — |
| 934 | #121 | — | 2 | 8 | no | — |
| 935 | #121 | — | 2 | 8 | no | — |
| 936 | #121 | C2×D4 | 1 | 4 | yes | — |
| 937 | #121 | C2×D4 | 1 | 4 | yes | — |
| 938 | #121 | C2×D4 | 1 | 4 | yes | — |
| 939 | #121 | C2×D4 | 1 | 4 | yes | — |
| 940 | #121 | C2×D4 | 1 | 4 | yes | — |
| 941 | #121 | C2×D4 | 1 | 4 | yes | — |
| 942 | #121 | C2×D4 | 1 | 4 | yes | — |
| 943 | #121 | C2×D4 | 1 | 4 | yes | — |
| 944 | #121 | C24 | 1 | 2 | yes | — |
| 945 | #121 | C24 | 1 | 4 | yes | — |
| 946 | #121 | C24 | 1 | 4 | yes | — |
| 947 | #121 | C24 | 1 | 8 | yes | — |
| 948 | #121 | C24 | 1 | 8 | yes | — |
| 949 | #121 | C24 | 1 | 2 | yes | — |
| 950 | #121 | C24 | 1 | 2 | yes | — |
| 951 | #121 | C24 | 1 | 2 | yes | — |
| 952 | #121 | C24 | 1 | 8 | yes | — |
| 953 | #121 | C24 | 1 | 8 | yes | — |
| 954 | #120 | — | 2 | 2 | no | — |
| 955 | #120 | — | 2 | 2 | no | — |
| 956 | #120 | — | 2 | 8 | no | — |
| 957 | #120 | — | 2 | 8 | no | — |
| 958 | #120 | — | 2 | 8 | no | — |
| 959 | #120 | — | 2 | 8 | no | — |
| 960 | #120 | — | 2 | 8 | no | — |
| 961 | #120 | — | 2 | 8 | no | — |
| 962 | #120 | — | 2 | 8 | no | — |
| 963 | #120 | — | 2 | 8 | no | — |
| 964 | #120 | — | 2 | 8 | no | — |
| 965 | C4×Q8 | — | 2 | 4 | no | — |
| 966 | C4×Q8 | — | 2 | 4 | no | — |
| 967 | C4×Q8 | — | 2 | 4 | no | — |
| 968 | C4×Q8 | — | 2 | 4 | no | — |
| 969 | C4×Q8 | — | 2 | 4 | no | — |
| 970 | C4×Q8 | — | 2 | 2 | no | — |
| 971 | C4×Q8 | — | 2 | 2 | no | — |
| 972 | C4×Q8 | — | 2 | 2 | no | — |
| 973 | C4×Q8 | — | 2 | 2 | no | — |
| 974 | C4×Q8 | — | 2 | 2 | no | — |
| 975 | C4×Q8 | — | 2 | 2 | no | — |
| 976 | C4×Q8 | — | 2 | 1 | no | — |
| 977 | C4×Q8 | — | 2 | 1 | no | — |
| 978 | C4×Q8 | — | 2 | 1 | no | — |
| 979 | C4×Q8 | — | 2 | 1 | no | — |
| 980 | C4×Q8 | — | 2 | 1 | no | — |
| 981 | C4×Q8 | — | 2 | 1 | no | — |
| 982 | C4×Q8 | — | 2 | 1 | no | — |
| 983 | C4×Q8 | — | 2 | 1 | no | — |
| 984 | C4×Q8 | C24 | 1 | 4 | yes | — |
| 985 | C4×Q8 | C24 | 1 | 4 | yes | — |
| 986 | C4×Q8 | C24 | 1 | 2 | yes | — |
| 987 | C4×Q8 | C24 | 1 | 2 | yes | — |
| 988 | C4×Q8 | C24 | 1 | 2 | yes | — |
| 989 | C4×Q8 | C24 | 1 | 2 | yes | — |
| 990 | C4×D4 | — | 2 | 4 | no | — |
| 991 | C4×D4 | — | 2 | 4 | no | — |
| 992 | C4×D4 | — | 2 | 4 | no | — |
| 993 | C4×D4 | — | 2 | 4 | no | — |
| 994 | C4×D4 | — | 2 | 4 | no | — |
| 995 | C4×D4 | — | 2 | 4 | no | — |
| 996 | C4×D4 | — | 2 | 8 | no | — |
| 997 | C4×D4 | — | 2 | 8 | no | — |
| 998 | C4×D4 | — | 2 | 4 | no | — |
| 999 | C4×D4 | — | 2 | 4 | no | — |
| 1000 | C4×D4 | — | 2 | 2 | no | — |
| 1001 | C4×D4 | — | 2 | 2 | no | — |
| 1002 | C4×D4 | — | 2 | 2 | no | — |
| 1003 | C4×D4 | — | 2 | 2 | no | — |
| 1004 | C4×D4 | — | 2 | 2 | no | — |
| 1005 | C4×D4 | — | 2 | 2 | no | — |
| 1006 | C4×D4 | — | 2 | 2 | no | — |
| 1007 | C4×D4 | — | 2 | 2 | no | — |
| 1008 | C4×D4 | — | 2 | 2 | no | — |
| 1009 | C4×D4 | — | 2 | 2 | no | — |
| 1010 | C4×D4 | — | 2 | 2 | no | — |
| 1011 | C4×D4 | — | 2 | 2 | no | — |
| 1012 | C4×D4 | — | 2 | 8 | no | — |
| 1013 | C4×D4 | — | 2 | 8 | no | — |
| 1014 | C4×D4 | — | 2 | 8 | no | — |
| 1015 | C4×D4 | — | 2 | 8 | no | — |
| 1016 | C4×D4 | — | 2 | 4 | no | — |
| 1017 | C4×D4 | — | 2 | 4 | no | — |
| 1018 | C4×D4 | — | 2 | 4 | no | — |
| 1019 | C4×D4 | — | 2 | 8 | no | — |
| 1020 | C4×D4 | — | 2 | 8 | no | — |
| 1021 | C4×D4 | — | 2 | 2 | no | — |
| 1022 | C4×D4 | — | 2 | 2 | no | — |
| 1023 | C4×D4 | — | 2 | 2 | no | — |
| 1024 | C4×D4 | — | 2 | 2 | no | — |
| 1025 | C4×D4 | — | 2 | 2 | no | — |
| 1026 | C4×D4 | — | 2 | 2 | no | — |
| 1027 | C4×D4 | — | 2 | 1 | no | — |
| 1028 | C4×D4 | — | 2 | 1 | no | — |
| 1029 | C4×D4 | — | 2 | 1 | no | — |
| 1030 | C4×D4 | — | 2 | 1 | no | — |
| 1031 | C4×D4 | — | 2 | 1 | no | — |
| 1032 | C4×D4 | — | 2 | 1 | no | — |
| 1033 | C4×D4 | — | 2 | 1 | no | — |
| 1034 | C4×D4 | — | 2 | 1 | no | — |
| 1035 | C4×D4 | C2×D4 | 1 | 4 | yes | — |
| 1036 | C4×D4 | C2×D4 | 1 | 4 | yes | — |
| 1037 | C4×D4 | C2×D4 | 1 | 4 | yes | — |
| 1038 | C4×D4 | C2×D4 | 1 | 4 | yes | — |
| 1039 | C4×D4 | C24 | 1 | 4 | yes | — |
| 1040 | C4×D4 | C24 | 1 | 4 | yes | — |
| 1041 | C4×D4 | C24 | 1 | 2 | yes | — |
| 1042 | C4×D4 | C24 | 1 | 2 | yes | — |
| 1043 | C4×D4 | C24 | 1 | 2 | yes | — |
| 1044 | C4×D4 | C24 | 1 | 2 | yes | — |
| 1045 | C4×D4 | C24 | 1 | 4 | yes | — |
| 1046 | C4×D4 | C24 | 1 | 4 | yes | — |
| 1047 | C4×D4 | C24 | 1 | 4 | yes | — |
| 1048 | C4×D4 | C24 | 1 | 4 | yes | — |
| 1049 | #117 | — | 2 | 2 | no | — |
| 1050 | #117 | — | 2 | 2 | no | — |
| 1051 | #117 | — | 2 | 2 | no | — |
| 1052 | #117 | — | 2 | 2 | no | — |
| 1053 | #117 | — | 2 | 1 | no | — |
| 1054 | #117 | — | 2 | 1 | no | — |
| 1055 | #117 | — | 2 | 1 | no | — |
| 1056 | #117 | — | 2 | 1 | no | — |
| 1057 | #117 | — | 2 | 4 | no | — |
| 1058 | #117 | — | 2 | 4 | no | — |
| 1059 | #117 | — | 2 | 4 | no | — |
| 1060 | #117 | — | 2 | 8 | no | — |
| 1061 | #117 | — | 2 | 2 | no | — |
| 1062 | #117 | — | 2 | 2 | no | — |
| 1063 | #117 | — | 2 | 2 | no | — |
| 1064 | #117 | — | 2 | 2 | no | — |
| 1065 | #117 | — | 2 | 2 | no | — |
| 1066 | #117 | — | 2 | 2 | no | — |
| 1067 | #117 | C24 | 1 | 2 | yes | — |
| 1068 | #117 | C24 | 1 | 2 | yes | — |
| 1069 | #117 | C24 | 1 | 8 | yes | — |
| 1070 | #117 | C24 | 1 | 8 | yes | — |
| 1071 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 1072 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 1073 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 1074 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 1075 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 1076 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 1077 | C2×C4⋊C4 | — | 2 | 8 | no | — |
| 1078 | C2×C4⋊C4 | — | 2 | 4 | no | — |
| 1079 | C2×C4⋊C4 | — | 2 | 4 | no | — |
| 1080 | C2×C4⋊C4 | — | 2 | 4 | no | — |
| 1081 | C2×C4⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 1082 | C2×C4⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 1083 | C2×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 1084 | C2×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 1085 | C2×C4⋊C4 | C24 | 1 | 8 | yes | — |
| 1086 | C2×C4⋊C4 | C24 | 1 | 8 | yes | — |
| 1087 | C2×C22⋊C4 | — | 2 | 2 | no | — |
| 1088 | C2×C22⋊C4 | — | 2 | 8 | no | — |
| 1089 | C2×C22⋊C4 | — | 2 | 2 | no | — |
| 1090 | C2×C22⋊C4 | — | 2 | 2 | no | — |
| 1091 | C2×C22⋊C4 | — | 2 | 8 | no | — |
| 1092 | C2×C22⋊C4 | — | 2 | 8 | no | — |
| 1093 | C2×C22⋊C4 | C2×D4 | 1 | 4 | yes | — |
| 1094 | C2×C22⋊C4 | C2×D4 | 1 | 4 | yes | — |
| 1095 | C2×C42 | — | 2 | 2 | no | — |
| 1096 | C2×C42 | — | 2 | 2 | no | — |
| 1097 | C2×C42 | — | 2 | 2 | no | — |
| 1098 | C2×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 1099 | C2×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 1100 | C2×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 1101 | C2×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 1102 | C2×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 1103 | C2×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 1104 | C2×C42 | C24 | 1 | 1 | yes | characteristic |
| 1105 | C2×C42 | C24 | 1 | 1 | yes | characteristic |
| 1106 | C2×C42 | C24 | 1 | 1 | yes | characteristic |
| 1107 | C2×C42 | C24 | 1 | 1 | yes | characteristic |
| 1108 | C2×C42 | C24 | 1 | 1 | yes | characteristic |
| 1109 | C2×C42 | C24 | 1 | 1 | yes | characteristic |
| 1110 | #107 | C24 | 1 | 8 | yes | — |
| 1111 | #107 | C24 | 1 | 8 | yes | — |
| 1112 | #107 | C24 | 1 | 4 | yes | — |
| 1113 | #107 | C24 | 1 | 4 | yes | — |
| 1114 | #106 | C24 | 1 | 4 | yes | — |
| 1115 | #106 | C24 | 1 | 4 | yes | — |
| 1116 | #106 | C24 | 1 | 8 | yes | — |
| 1117 | #106 | C24 | 1 | 8 | yes | — |
| 1118 | #106 | C24 | 1 | 4 | yes | — |
| 1119 | #106 | C24 | 1 | 4 | yes | — |
| 1120 | #106 | C24 | 1 | 4 | yes | — |
| 1121 | #106 | C24 | 1 | 4 | yes | — |
| 1122 | C4⋊C8 | C24 | 1 | 2 | yes | — |
| 1123 | C4⋊C8 | C24 | 1 | 2 | yes | — |
| 1124 | C4⋊C8 | C24 | 1 | 2 | yes | — |
| 1125 | C4⋊C8 | C24 | 1 | 2 | yes | — |
| 1126 | C4⋊C8 | C24 | 1 | 4 | yes | — |
| 1127 | C4⋊C8 | C24 | 1 | 4 | yes | — |
| 1128 | #103 | C24 | 1 | 4 | yes | — |
| 1129 | #103 | C24 | 1 | 4 | yes | — |
| 1130 | #103 | C24 | 1 | 8 | yes | — |
| 1131 | #103 | C24 | 1 | 8 | yes | — |
| 1132 | #103 | C24 | 1 | 4 | yes | — |
| 1133 | #103 | C24 | 1 | 4 | yes | — |
| 1134 | #103 | C24 | 1 | 8 | yes | — |
| 1135 | #103 | C24 | 1 | 8 | yes | — |
| 1136 | #103 | C24 | 1 | 4 | yes | — |
| 1137 | #103 | C24 | 1 | 4 | yes | — |
| 1138 | #103 | C24 | 1 | 4 | yes | — |
| 1139 | #103 | C24 | 1 | 4 | yes | — |
| 1140 | #102 | C24 | 1 | 4 | yes | — |
| 1141 | #102 | C24 | 1 | 4 | yes | — |
| 1142 | #102 | C24 | 1 | 8 | yes | — |
| 1143 | #102 | C24 | 1 | 8 | yes | — |
| 1144 | #102 | C24 | 1 | 4 | yes | — |
| 1145 | #102 | C24 | 1 | 4 | yes | — |
| 1146 | #102 | C24 | 1 | 8 | yes | — |
| 1147 | #102 | C24 | 1 | 8 | yes | — |
| 1148 | #102 | C24 | 1 | 4 | yes | — |
| 1149 | #102 | C24 | 1 | 4 | yes | — |
| 1150 | #102 | C24 | 1 | 4 | yes | — |
| 1151 | #102 | C24 | 1 | 4 | yes | — |
| 1152 | C22⋊C8 | C24 | 1 | 2 | yes | — |
| 1153 | C22⋊C8 | C24 | 1 | 2 | yes | — |
| 1154 | C22⋊C8 | C24 | 1 | 2 | yes | — |
| 1155 | C22⋊C8 | C24 | 1 | 2 | yes | — |
| 1156 | C22⋊C8 | C24 | 1 | 4 | yes | — |
| 1157 | C22⋊C8 | C24 | 1 | 4 | yes | — |
| 1158 | C22⋊C8 | C24 | 1 | 8 | yes | — |
| 1159 | C22⋊C8 | C24 | 1 | 8 | yes | — |
| 1160 | C22⋊C8 | C24 | 1 | 8 | yes | — |
| 1161 | C22⋊C8 | C24 | 1 | 8 | yes | — |
| 1162 | #97 | C24 | 1 | 4 | yes | — |
| 1163 | #97 | C24 | 1 | 4 | yes | — |
| 1164 | C4×C8 | C24 | 1 | 1 | yes | characteristic |
| 1165 | C4×C8 | C24 | 1 | 1 | yes | characteristic |
| 1166 | C4×C8 | C24 | 1 | 2 | yes | — |
| 1167 | C4×C8 | C24 | 1 | 2 | yes | — |
| 1168 | C4×C8 | C24 | 1 | 1 | yes | characteristic |
| 1169 | C4×C8 | C24 | 1 | 1 | yes | characteristic |
| 1170 | C24 | — | 2 | 2 | no | — |
| 1171 | C24 | — | 2 | 8 | no | — |
| 1172 | C24 | C22×D4 | 1 | 4 | yes | — |
| 1173 | C24 | C22×D4 | 1 | 1 | yes | characteristic |
| 1174 | #41 | — | 4 | 8 | no | — |
| 1175 | #41 | — | 4 | 8 | no | — |
| 1176 | #41 | — | 4 | 4 | no | — |
| 1177 | #41 | — | 4 | 4 | no | — |
| 1178 | #41 | — | 4 | 8 | no | — |
| 1179 | #41 | — | 4 | 8 | no | — |
| 1180 | #41 | — | 4 | 8 | no | — |
| 1181 | #41 | — | 4 | 8 | no | — |
| 1182 | #41 | — | 4 | 4 | no | — |
| 1183 | #41 | — | 4 | 8 | no | — |
| 1184 | #41 | — | 4 | 4 | no | — |
| 1185 | #41 | — | 8 | 4 | no | — |
| 1186 | #41 | — | 8 | 4 | no | — |
| 1187 | #41 | — | 8 | 4 | no | — |
| 1188 | #41 | — | 8 | 4 | no | — |
| 1189 | #41 | — | 8 | 4 | no | — |
| 1190 | #41 | — | 8 | 2 | no | — |
| 1191 | #41 | — | 8 | 2 | no | — |
| 1192 | #41 | — | 8 | 8 | no | — |
| 1193 | #41 | — | 8 | 8 | no | — |
| 1194 | #41 | — | 8 | 16 | no | — |
| 1195 | #41 | — | 8 | 8 | no | — |
| 1196 | #41 | — | 8 | 8 | no | — |
| 1197 | #41 | — | 8 | 8 | no | — |
| 1198 | C2×Q8 | — | 2 | 1 | no | — |
| 1199 | C2×Q8 | — | 2 | 2 | no | — |
| 1200 | C2×Q8 | — | 2 | 1 | no | — |
| 1201 | C2×Q8 | — | 2 | 2 | no | — |
| 1202 | C2×Q8 | — | 2 | 2 | no | — |
| 1203 | C2×Q8 | — | 2 | 1 | no | — |
| 1204 | C2×Q8 | — | 2 | 2 | no | — |
| 1205 | C2×Q8 | — | 2 | 1 | no | — |
| 1206 | C2×Q8 | — | 2 | 8 | no | — |
| 1207 | C2×Q8 | — | 2 | 2 | no | — |
| 1208 | C2×Q8 | — | 4 | 4 | no | — |
| 1209 | C2×Q8 | — | 4 | 8 | no | — |
| 1210 | C2×Q8 | — | 4 | 8 | no | — |
| 1211 | C2×Q8 | — | 8 | 2 | no | — |
| 1212 | C2×Q8 | — | 8 | 2 | no | — |
| 1213 | C2×Q8 | — | 8 | 2 | no | — |
| 1214 | C2×Q8 | — | 8 | 8 | no | — |
| 1215 | C2×Q8 | C22×D4 | 1 | 4 | yes | — |
| 1216 | C2×Q8 | C22×D4 | 1 | 4 | yes | — |
| 1217 | C2×Q8 | C25 | 1 | 2 | yes | — |
| 1218 | C2×Q8 | C25 | 1 | 2 | yes | — |
| 1219 | C2×Q8 | C25 | 1 | 4 | yes | — |
| 1220 | C2×D4 | — | 2 | 2 | no | — |
| 1221 | C2×D4 | — | 2 | 4 | no | — |
| 1222 | C2×D4 | — | 2 | 2 | no | — |
| 1223 | C2×D4 | — | 2 | 2 | no | — |
| 1224 | C2×D4 | — | 2 | 2 | no | — |
| 1225 | C2×D4 | — | 2 | 2 | no | — |
| 1226 | C2×D4 | — | 2 | 8 | no | — |
| 1227 | C2×D4 | — | 2 | 2 | no | — |
| 1228 | C2×D4 | — | 2 | 8 | no | — |
| 1229 | C2×D4 | — | 2 | 8 | no | — |
| 1230 | C2×D4 | — | 2 | 4 | no | — |
| 1231 | C2×D4 | — | 2 | 8 | no | — |
| 1232 | C2×D4 | — | 2 | 8 | no | — |
| 1233 | C2×D4 | — | 2 | 8 | no | — |
| 1234 | C2×D4 | — | 2 | 8 | no | — |
| 1235 | C2×D4 | — | 2 | 1 | no | — |
| 1236 | C2×D4 | — | 2 | 2 | no | — |
| 1237 | C2×D4 | — | 2 | 1 | no | — |
| 1238 | C2×D4 | — | 2 | 2 | no | — |
| 1239 | C2×D4 | — | 2 | 2 | no | — |
| 1240 | C2×D4 | — | 2 | 1 | no | — |
| 1241 | C2×D4 | — | 2 | 2 | no | — |
| 1242 | C2×D4 | — | 2 | 1 | no | — |
| 1243 | C2×D4 | — | 2 | 2 | no | — |
| 1244 | C2×D4 | — | 2 | 8 | no | — |
| 1245 | C2×D4 | — | 4 | 4 | no | — |
| 1246 | C2×D4 | — | 4 | 8 | no | — |
| 1247 | C2×D4 | — | 4 | 8 | no | — |
| 1248 | C2×D4 | — | 8 | 2 | no | — |
| 1249 | C2×D4 | — | 8 | 8 | no | — |
| 1250 | C2×D4 | — | 8 | 8 | no | — |
| 1251 | C2×D4 | — | 8 | 2 | no | — |
| 1252 | C2×D4 | — | 8 | 2 | no | — |
| 1253 | C2×D4 | — | 8 | 4 | no | — |
| 1254 | C2×D4 | — | 8 | 2 | no | — |
| 1255 | C2×D4 | — | 8 | 8 | no | — |
| 1256 | C2×D4 | — | 8 | 8 | no | — |
| 1257 | C2×D4 | — | 8 | 4 | no | — |
| 1258 | C2×D4 | — | 8 | 16 | no | — |
| 1259 | C2×D4 | — | 8 | 16 | no | — |
| 1260 | C2×D4 | C22×D4 | 1 | 4 | yes | — |
| 1261 | C2×D4 | C22×D4 | 1 | 4 | yes | — |
| 1262 | C2×D4 | C22×D4 | 1 | 4 | yes | — |
| 1263 | C2×D4 | C22×D4 | 1 | 4 | yes | — |
| 1264 | C2×D4 | C22×D4 | 1 | 4 | yes | — |
| 1265 | C2×D4 | C22×D4 | 1 | 8 | yes | — |
| 1266 | C2×D4 | C22×D4 | 1 | 8 | yes | — |
| 1267 | C2×D4 | C22×D4 | 1 | 4 | yes | — |
| 1268 | C2×D4 | C25 | 1 | 2 | yes | — |
| 1269 | C2×D4 | C25 | 1 | 2 | yes | — |
| 1270 | C2×D4 | C25 | 1 | 4 | yes | — |
| 1271 | C22×C4 | — | 2 | 4 | no | — |
| 1272 | C22×C4 | — | 2 | 2 | no | — |
| 1273 | C22×C4 | — | 2 | 2 | no | — |
| 1274 | C22×C4 | — | 2 | 2 | no | — |
| 1275 | C22×C4 | — | 2 | 8 | no | — |
| 1276 | C22×C4 | — | 2 | 8 | no | — |
| 1277 | C22×C4 | — | 2 | 8 | no | — |
| 1278 | C22×C4 | — | 2 | 2 | no | — |
| 1279 | C22×C4 | — | 2 | 2 | no | — |
| 1280 | C22×C4 | — | 2 | 2 | no | — |
| 1281 | C22×C4 | — | 2 | 2 | no | — |
| 1282 | C22×C4 | — | 2 | 2 | no | — |
| 1283 | C22×C4 | — | 2 | 2 | no | — |
| 1284 | C22×C4 | — | 2 | 4 | no | — |
| 1285 | C22×C4 | — | 2 | 4 | no | — |
| 1286 | C22×C4 | — | 2 | 8 | no | — |
| 1287 | C22×C4 | — | 2 | 8 | no | — |
| 1288 | C22×C4 | — | 4 | 4 | no | — |
| 1289 | C22×C4 | — | 4 | 4 | no | — |
| 1290 | C22×C4 | — | 4 | 2 | no | — |
| 1291 | C22×C4 | — | 8 | 4 | no | — |
| 1292 | C22×C4 | — | 8 | 1 | no | — |
| 1293 | C22×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1294 | C22×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1295 | C22×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1296 | C22×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1297 | C22×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1298 | C22×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1299 | C22×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1300 | C22×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1301 | C22×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1302 | C22×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1303 | C22×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1304 | C22×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1305 | C22×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1306 | C22×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1307 | C22×C4 | C22×D4 | 1 | 8 | yes | — |
| 1308 | C22×C4 | C22×D4 | 1 | 4 | yes | — |
| 1309 | C22×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1310 | C22×C4 | C25 | 1 | 1 | yes | characteristic |
| 1311 | C22×C4 | C25 | 1 | 1 | yes | characteristic |
| 1312 | C22×C4 | C25 | 1 | 8 | yes | — |
| 1313 | C22×C4 | C25 | 1 | 1 | yes | characteristic |
| 1314 | Q16 | — | 4 | 8 | no | — |
| 1315 | Q16 | — | 4 | 4 | no | — |
| 1316 | SD16 | — | 4 | 4 | no | — |
| 1317 | SD16 | — | 4 | 4 | no | — |
| 1318 | SD16 | — | 4 | 8 | no | — |
| 1319 | SD16 | — | 4 | 8 | no | — |
| 1320 | SD16 | — | 4 | 4 | no | — |
| 1321 | SD16 | — | 4 | 4 | no | — |
| 1322 | SD16 | — | 4 | 4 | no | — |
| 1323 | SD16 | — | 4 | 4 | no | — |
| 1324 | D8 | — | 4 | 8 | no | — |
| 1325 | D8 | — | 4 | 4 | no | — |
| 1326 | M16 | — | 4 | 8 | no | — |
| 1327 | M16 | — | 4 | 8 | no | — |
| 1328 | C2×C8 | — | 4 | 2 | no | — |
| 1329 | C2×C8 | — | 4 | 4 | no | — |
| 1330 | C2×C8 | — | 4 | 8 | no | — |
| 1331 | C2×C8 | — | 4 | 8 | no | — |
| 1332 | C2×C8 | — | 4 | 2 | no | — |
| 1333 | C2×C8 | C25 | 1 | 2 | yes | — |
| 1334 | C2×C8 | C25 | 1 | 2 | yes | — |
| 1335 | C2×C8 | C25 | 1 | 2 | yes | — |
| 1336 | C2×C8 | C25 | 1 | 2 | yes | — |
| 1337 | C2×C8 | C25 | 1 | 8 | yes | — |
| 1338 | C4⋊C4 | — | 2 | 1 | no | — |
| 1339 | C4⋊C4 | — | 2 | 2 | no | — |
| 1340 | C4⋊C4 | — | 2 | 2 | no | — |
| 1341 | C4⋊C4 | — | 2 | 2 | no | — |
| 1342 | C4⋊C4 | — | 2 | 4 | no | — |
| 1343 | C4⋊C4 | — | 2 | 8 | no | — |
| 1344 | C4⋊C4 | — | 2 | 2 | no | — |
| 1345 | C4⋊C4 | — | 2 | 2 | no | — |
| 1346 | C4⋊C4 | — | 2 | 2 | no | — |
| 1347 | C4⋊C4 | — | 2 | 2 | no | — |
| 1348 | C4⋊C4 | — | 2 | 2 | no | — |
| 1349 | C4⋊C4 | — | 2 | 8 | no | — |
| 1350 | C4⋊C4 | — | 2 | 8 | no | — |
| 1351 | C4⋊C4 | — | 2 | 8 | no | — |
| 1352 | C4⋊C4 | — | 2 | 4 | no | — |
| 1353 | C4⋊C4 | — | 2 | 2 | no | — |
| 1354 | C4⋊C4 | — | 2 | 4 | no | — |
| 1355 | C4⋊C4 | — | 2 | 4 | no | — |
| 1356 | C4⋊C4 | — | 2 | 2 | no | — |
| 1357 | C4⋊C4 | — | 2 | 2 | no | — |
| 1358 | C4⋊C4 | — | 2 | 8 | no | — |
| 1359 | C4⋊C4 | — | 2 | 8 | no | — |
| 1360 | C4⋊C4 | — | 2 | 1 | no | — |
| 1361 | C4⋊C4 | — | 2 | 2 | no | — |
| 1362 | C4⋊C4 | — | 2 | 1 | no | — |
| 1363 | C4⋊C4 | — | 2 | 1 | no | — |
| 1364 | C4⋊C4 | — | 2 | 2 | no | — |
| 1365 | C4⋊C4 | — | 2 | 2 | no | — |
| 1366 | C4⋊C4 | — | 2 | 2 | no | — |
| 1367 | C4⋊C4 | — | 2 | 2 | no | — |
| 1368 | C4⋊C4 | — | 2 | 1 | no | — |
| 1369 | C4⋊C4 | — | 2 | 1 | no | — |
| 1370 | C4⋊C4 | — | 2 | 1 | no | — |
| 1371 | C4⋊C4 | — | 2 | 1 | no | — |
| 1372 | C4⋊C4 | — | 2 | 2 | no | — |
| 1373 | C4⋊C4 | — | 2 | 2 | no | — |
| 1374 | C4⋊C4 | — | 2 | 2 | no | — |
| 1375 | C4⋊C4 | — | 2 | 2 | no | — |
| 1376 | C4⋊C4 | — | 2 | 2 | no | — |
| 1377 | C4⋊C4 | — | 2 | 2 | no | — |
| 1378 | C4⋊C4 | C22×D4 | 1 | 4 | yes | — |
| 1379 | C4⋊C4 | C22×D4 | 1 | 4 | yes | — |
| 1380 | C4⋊C4 | C22×D4 | 1 | 4 | yes | — |
| 1381 | C4⋊C4 | C22×D4 | 1 | 4 | yes | — |
| 1382 | C4⋊C4 | C25 | 1 | 2 | yes | — |
| 1383 | C4⋊C4 | C25 | 1 | 4 | yes | — |
| 1384 | C4⋊C4 | C25 | 1 | 2 | yes | — |
| 1385 | C4⋊C4 | C25 | 1 | 2 | yes | — |
| 1386 | C4⋊C4 | C25 | 1 | 4 | yes | — |
| 1387 | C4⋊C4 | C25 | 1 | 2 | yes | — |
| 1388 | C22⋊C4 | — | 2 | 2 | no | — |
| 1389 | C22⋊C4 | — | 2 | 4 | no | — |
| 1390 | C22⋊C4 | — | 2 | 4 | no | — |
| 1391 | C22⋊C4 | — | 2 | 8 | no | — |
| 1392 | C22⋊C4 | — | 2 | 8 | no | — |
| 1393 | C22⋊C4 | — | 2 | 8 | no | — |
| 1394 | C22⋊C4 | — | 2 | 2 | no | — |
| 1395 | C22⋊C4 | — | 2 | 2 | no | — |
| 1396 | C22⋊C4 | — | 2 | 8 | no | — |
| 1397 | C22⋊C4 | — | 2 | 2 | no | — |
| 1398 | C22⋊C4 | — | 2 | 2 | no | — |
| 1399 | C22⋊C4 | — | 2 | 2 | no | — |
| 1400 | C22⋊C4 | — | 2 | 8 | no | — |
| 1401 | C22⋊C4 | — | 2 | 8 | no | — |
| 1402 | C22⋊C4 | — | 2 | 2 | no | — |
| 1403 | C22⋊C4 | — | 2 | 2 | no | — |
| 1404 | C22⋊C4 | — | 2 | 4 | no | — |
| 1405 | C22⋊C4 | — | 2 | 8 | no | — |
| 1406 | C22⋊C4 | — | 2 | 8 | no | — |
| 1407 | C22⋊C4 | — | 2 | 4 | no | — |
| 1408 | C22⋊C4 | — | 2 | 4 | no | — |
| 1409 | C22⋊C4 | — | 2 | 4 | no | — |
| 1410 | C22⋊C4 | — | 2 | 2 | no | — |
| 1411 | C22⋊C4 | — | 2 | 2 | no | — |
| 1412 | C22⋊C4 | — | 2 | 2 | no | — |
| 1413 | C22⋊C4 | — | 2 | 2 | no | — |
| 1414 | C22⋊C4 | — | 2 | 8 | no | — |
| 1415 | C22⋊C4 | — | 2 | 2 | no | — |
| 1416 | C22⋊C4 | — | 2 | 2 | no | — |
| 1417 | C22⋊C4 | — | 2 | 8 | no | — |
| 1418 | C22⋊C4 | — | 2 | 2 | no | — |
| 1419 | C22⋊C4 | — | 2 | 2 | no | — |
| 1420 | C22⋊C4 | — | 2 | 2 | no | — |
| 1421 | C22⋊C4 | — | 2 | 2 | no | — |
| 1422 | C22⋊C4 | C22×D4 | 1 | 8 | yes | — |
| 1423 | C22⋊C4 | C22×D4 | 1 | 8 | yes | — |
| 1424 | C22⋊C4 | C22×D4 | 1 | 8 | yes | — |
| 1425 | C22⋊C4 | C22×D4 | 1 | 8 | yes | — |
| 1426 | C42 | — | 2 | 4 | no | — |
| 1427 | C42 | — | 2 | 2 | no | — |
| 1428 | C42 | — | 2 | 2 | no | — |
| 1429 | C42 | — | 2 | 2 | no | — |
| 1430 | C42 | — | 2 | 2 | no | — |
| 1431 | C42 | — | 2 | 4 | no | — |
| 1432 | C42 | — | 2 | 2 | no | — |
| 1433 | C42 | — | 2 | 2 | no | — |
| 1434 | C42 | — | 2 | 8 | no | — |
| 1435 | C42 | — | 2 | 8 | no | — |
| 1436 | C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 1437 | C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 1438 | C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 1439 | C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 1440 | C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 1441 | C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 1442 | C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 1443 | C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 1444 | C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 1445 | C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 1446 | C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 1447 | C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 1448 | C42 | C25 | 1 | 1 | yes | characteristic |
| 1449 | C42 | C25 | 1 | 1 | yes | characteristic |
| 1450 | C42 | C25 | 1 | 1 | yes | characteristic |
| 1451 | C42 | C25 | 1 | 1 | yes | characteristic |
| 1452 | C23 | — | 2 | 2 | no | — |
| 1453 | C23 | — | 2 | 8 | no | — |
| 1454 | C23 | — | 2 | 2 | no | — |
| 1455 | C23 | — | 2 | 2 | no | — |
| 1456 | C23 | — | 2 | 4 | no | — |
| 1457 | C23 | — | 4 | 1 | no | — |
| 1458 | C23 | — | 4 | 4 | no | — |
| 1459 | C23 | — | 4 | 1 | no | — |
| 1460 | C23 | — | 4 | 4 | no | — |
| 1461 | C23 | — | 4 | 4 | no | — |
| 1462 | C23 | — | 8 | 2 | no | — |
| 1463 | C23 | — | 8 | 2 | no | — |
| 1464 | C23 | — | 8 | 8 | no | — |
| 1465 | C23 | — | 8 | 8 | no | — |
| 1466 | C23 | — | 8 | 8 | no | — |
| 1467 | C23 | C23×D4 | 1 | 1 | yes | characteristic |
| 1468 | C23 | C23×D4 | 1 | 8 | yes | — |
| 1469 | C23 | C23×D4 | 1 | 1 | yes | characteristic |
| 1470 | C23 | C23×D4 | 1 | 1 | yes | characteristic |
| 1471 | Q8 | — | 2 | 4 | no | — |
| 1472 | Q8 | — | 2 | 4 | no | — |
| 1473 | Q8 | — | 2 | 4 | no | — |
| 1474 | Q8 | — | 2 | 4 | no | — |
| 1475 | Q8 | — | 4 | 4 | no | — |
| 1476 | Q8 | — | 4 | 4 | no | — |
| 1477 | Q8 | — | 4 | 4 | no | — |
| 1478 | Q8 | — | 4 | 4 | no | — |
| 1479 | Q8 | — | 4 | 4 | no | — |
| 1480 | Q8 | — | 4 | 2 | no | — |
| 1481 | Q8 | — | 4 | 2 | no | — |
| 1482 | Q8 | — | 8 | 8 | no | — |
| 1483 | Q8 | — | 8 | 2 | no | — |
| 1484 | Q8 | — | 8 | 2 | no | — |
| 1485 | Q8 | — | 8 | 1 | no | — |
| 1486 | Q8 | — | 8 | 1 | no | — |
| 1487 | D4 | — | 2 | 4 | no | — |
| 1488 | D4 | — | 2 | 4 | no | — |
| 1489 | D4 | — | 2 | 4 | no | — |
| 1490 | D4 | — | 2 | 4 | no | — |
| 1491 | D4 | — | 2 | 8 | no | — |
| 1492 | D4 | — | 2 | 8 | no | — |
| 1493 | D4 | — | 4 | 4 | no | — |
| 1494 | D4 | — | 4 | 4 | no | — |
| 1495 | D4 | — | 4 | 8 | no | — |
| 1496 | D4 | — | 4 | 4 | no | — |
| 1497 | D4 | — | 4 | 8 | no | — |
| 1498 | D4 | — | 4 | 4 | no | — |
| 1499 | D4 | — | 4 | 4 | no | — |
| 1500 | D4 | — | 4 | 4 | no | — |
| 1501 | D4 | — | 4 | 4 | no | — |
| 1502 | D4 | — | 4 | 4 | no | — |
| 1503 | D4 | — | 4 | 4 | no | — |
| 1504 | D4 | — | 4 | 8 | no | — |
| 1505 | D4 | — | 4 | 4 | no | — |
| 1506 | D4 | — | 4 | 2 | no | — |
| 1507 | D4 | — | 4 | 4 | no | — |
| 1508 | D4 | — | 4 | 2 | no | — |
| 1509 | D4 | — | 8 | 8 | no | — |
| 1510 | D4 | — | 8 | 2 | no | — |
| 1511 | D4 | — | 8 | 2 | no | — |
| 1512 | D4 | — | 8 | 1 | no | — |
| 1513 | D4 | — | 8 | 1 | no | — |
| 1514 | D4 | — | 8 | 8 | no | — |
| 1515 | D4 | — | 8 | 8 | no | — |
| 1516 | D4 | — | 8 | 8 | no | — |
| 1517 | D4 | — | 8 | 8 | no | — |
| 1518 | D4 | — | 8 | 4 | no | — |
| 1519 | D4 | — | 8 | 8 | no | — |
| 1520 | D4 | — | 8 | 2 | no | — |
| 1521 | D4 | — | 8 | 2 | no | — |
| 1522 | D4 | — | 8 | 8 | no | — |
| 1523 | C2×C4 | — | 2 | 2 | no | — |
| 1524 | C2×C4 | — | 2 | 2 | no | — |
| 1525 | C2×C4 | — | 2 | 8 | no | — |
| 1526 | C2×C4 | — | 2 | 8 | no | — |
| 1527 | C2×C4 | — | 2 | 2 | no | — |
| 1528 | C2×C4 | — | 2 | 2 | no | — |
| 1529 | C2×C4 | — | 2 | 2 | no | — |
| 1530 | C2×C4 | — | 2 | 2 | no | — |
| 1531 | C2×C4 | — | 2 | 2 | no | — |
| 1532 | C2×C4 | — | 2 | 2 | no | — |
| 1533 | C2×C4 | — | 2 | 2 | no | — |
| 1534 | C2×C4 | — | 2 | 2 | no | — |
| 1535 | C2×C4 | — | 2 | 4 | no | — |
| 1536 | C2×C4 | — | 2 | 4 | no | — |
| 1537 | C2×C4 | — | 2 | 2 | no | — |
| 1538 | C2×C4 | — | 2 | 2 | no | — |
| 1539 | C2×C4 | — | 2 | 2 | no | — |
| 1540 | C2×C4 | — | 2 | 2 | no | — |
| 1541 | C2×C4 | — | 2 | 4 | no | — |
| 1542 | C2×C4 | — | 4 | 1 | no | — |
| 1543 | C2×C4 | — | 4 | 4 | no | — |
| 1544 | C2×C4 | — | 4 | 8 | no | — |
| 1545 | C2×C4 | — | 4 | 1 | no | — |
| 1546 | C2×C4 | — | 4 | 1 | no | — |
| 1547 | C2×C4 | — | 4 | 1 | no | — |
| 1548 | C2×C4 | — | 4 | 1 | no | — |
| 1549 | C2×C4 | — | 4 | 1 | no | — |
| 1550 | C2×C4 | — | 4 | 1 | no | — |
| 1551 | C2×C4 | — | 4 | 1 | no | — |
| 1552 | C2×C4 | — | 4 | 1 | no | — |
| 1553 | C2×C4 | — | 4 | 4 | no | — |
| 1554 | C2×C4 | — | 4 | 4 | no | — |
| 1555 | C2×C4 | — | 4 | 4 | no | — |
| 1556 | C2×C4 | — | 4 | 4 | no | — |
| 1557 | C2×C4 | — | 4 | 4 | no | — |
| 1558 | C2×C4 | — | 4 | 8 | no | — |
| 1559 | C2×C4 | — | 4 | 4 | no | — |
| 1560 | C2×C4 | — | 4 | 4 | no | — |
| 1561 | C2×C4 | — | 8 | 4 | no | — |
| 1562 | C2×C4 | — | 8 | 8 | no | — |
| 1563 | C2×C4 | — | 8 | 8 | no | — |
| 1564 | C2×C4 | — | 8 | 2 | no | — |
| 1565 | C2×C4 | — | 8 | 8 | no | — |
| 1566 | C2×C4 | — | 8 | 8 | no | — |
| 1567 | C2×C4 | — | 8 | 2 | no | — |
| 1568 | C2×C4 | — | 8 | 8 | no | — |
| 1569 | C2×C4 | #577 | 1 | 4 | yes | — |
| 1570 | C2×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 1571 | C2×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 1572 | C2×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 1573 | C2×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 1574 | C2×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 1575 | C2×C4 | C23×D4 | 1 | 8 | yes | — |
| 1576 | C2×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 1577 | C2×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 1578 | C2×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 1579 | C2×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 1580 | C2×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 1581 | C2×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 1582 | C2×C4 | C26 | 1 | 1 | yes | characteristic |
| 1583 | C8 | — | 2 | 2 | no | — |
| 1584 | C8 | — | 2 | 2 | no | — |
| 1585 | C8 | — | 2 | 8 | no | — |
| 1586 | C8 | — | 2 | 2 | no | — |
| 1587 | C8 | — | 2 | 2 | no | — |
| 1588 | C22 | — | 2 | 1 | no | — |
| 1589 | C22 | — | 2 | 1 | no | — |
| 1590 | C22 | — | 2 | 1 | no | — |
| 1591 | C22 | — | 2 | 1 | no | — |
| 1592 | C22 | — | 2 | 8 | no | — |
| 1593 | C22 | — | 2 | 1 | no | — |
| 1594 | C22 | — | 2 | 1 | no | — |
| 1595 | C22 | — | 2 | 8 | no | — |
| 1596 | C22 | — | 2 | 1 | no | — |
| 1597 | C22 | — | 2 | 8 | no | — |
| 1598 | C22 | — | 2 | 1 | no | — |
| 1599 | C22 | — | 4 | 4 | no | — |
| 1600 | C22 | — | 4 | 2 | no | — |
| 1601 | C22 | — | 4 | 2 | no | — |
| 1602 | C22 | — | 4 | 2 | no | — |
| 1603 | C22 | — | 4 | 2 | no | — |
| 1604 | C22 | — | 4 | 4 | no | — |
| 1605 | C22 | — | 4 | 2 | no | — |
| 1606 | C22 | — | 4 | 2 | no | — |
| 1607 | C22 | — | 4 | 4 | no | — |
| 1608 | C22 | — | 8 | 2 | no | — |
| 1609 | C22 | — | 8 | 8 | no | — |
| 1610 | C22 | — | 16 | 4 | no | — |
| 1611 | C22 | — | 32 | 8 | no | — |
| 1612 | C22 | C2×#577 | 1 | 2 | yes | — |
| 1613 | C22 | C24×D4 | 1 | 1 | yes | characteristic |
| 1614 | C4 | — | 2 | 1 | no | — |
| 1615 | C4 | — | 2 | 1 | no | — |
| 1616 | C4 | — | 2 | 1 | no | — |
| 1617 | C4 | — | 2 | 1 | no | — |
| 1618 | C4 | — | 2 | 1 | no | — |
| 1619 | C4 | — | 2 | 1 | no | — |
| 1620 | C4 | — | 2 | 1 | no | — |
| 1621 | C4 | — | 2 | 1 | no | — |
| 1622 | C4 | — | 2 | 1 | no | — |
| 1623 | C4 | — | 2 | 8 | no | — |
| 1624 | C4 | — | 4 | 2 | no | — |
| 1625 | C4 | — | 4 | 4 | no | — |
| 1626 | C4 | — | 4 | 2 | no | — |
| 1627 | C4 | — | 4 | 2 | no | — |
| 1628 | C4 | — | 4 | 2 | no | — |
| 1629 | C4 | — | 4 | 4 | no | — |
| 1630 | C4 | — | 4 | 2 | no | — |
| 1631 | C4 | — | 4 | 2 | no | — |
| 1632 | C4 | — | 4 | 4 | no | — |
| 1633 | C4 | C2×#577 | 1 | 2 | yes | — |
| 1634 | C4 | C2×#577 | 1 | 2 | yes | — |
| 1635 | C4 | H(7,𝔽2) | 1 | 2 | yes | — |
| 1636 | C2 | — | 2 | 2 | no | — |
| 1637 | C2 | — | 4 | 1 | no | — |
| 1638 | C2 | — | 4 | 1 | no | — |
| 1639 | C2 | — | 4 | 8 | no | — |
| 1640 | C2 | — | 8 | 2 | no | — |
| 1641 | C2 | — | 8 | 4 | no | — |
| 1642 | C2 | — | 8 | 2 | no | — |
| 1643 | C2 | #62842 | 1 | 1 | yes | characteristic |
| 1644 | C2 | C22×#577 | 1 | 1 | yes | characteristic |
| 1645 | C2 | #63090 | 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 ◁ C2×#532 ◁ G | |
| LECS | G ▷ C2×C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #62835 | C2 | semidirect |
| 2. #62834 | C2 | semidirect |
| 3. #62260 | C2 | semidirect |
| 4. #62259 | C2 | semidirect |
| 5. #62256 | C2 | semidirect |
| 6. #62248 | C2 | semidirect |
| 7. #62243 | C2 | semidirect |
| 8. #61815 | C2 | semidirect |
| 9. #61812 | C2 | semidirect |
| 10. #61809 | C2 | semidirect |
| 11. #61808 | C2 | semidirect |
| 12. #61805 | C2 | semidirect |
| 13. #61803 | C2 | semidirect |
| 14. #61692 | C2 | semidirect |
| 15. #61689 | C2 | semidirect |
| 16. #61686 | C2 | semidirect |
| 17. #61685 | C2 | semidirect |
| 18. #61682 | C2 | semidirect |
| 19. #61680 | C2 | semidirect |
| 20. #60963 | C2 | semidirect |
| 21. #60962 | C2 | semidirect |
| 22. #60944 | C2 | semidirect |
| 23. #60941 | C2 | semidirect |
| 24. #60769 | C2 | semidirect |
| 25. C2×#2981 | C2 | semidirect |
| 31. #3550 | C22 | semidirect |
| 34. #3548 | C22 | semidirect |
| 35. #3547 | C22 | semidirect |
| 41. #3520 | C22 | semidirect |
| 47. #3511 | C22 | semidirect |
| 50. #3507 | C22 | semidirect |
| 53. #3506 | C22 | semidirect |
| 55. #3501 | C22 | semidirect |
| 56. #3499 | C22 | semidirect |
| 59. #3497 | C22 | semidirect |
| 63. #3489 | C22 | semidirect |
| 67. #3444 | C22 | semidirect |
| 68. C2×#533 | C22 | semidirect |
| 71. #3357 | C22 | semidirect |
| 72. #3356 | C22 | semidirect |
| 73. #3354 | C22 | semidirect |
| 74. #3353 | C22 | semidirect |
| 75. #3350 | C22 | semidirect |
| 76. #3348 | C22 | semidirect |
| 77. #3345 | C22 | semidirect |
| 78. #3344 | C22 | semidirect |
| 79. #3340 | C22 | semidirect |
| 80. #3340 | C22 | semidirect |
| 81. #3335 | C22 | semidirect |
| 82. #3335 | C22 | semidirect |
| 83. #3333 | C22 | semidirect |
| 84. #3332 | C22 | semidirect |
| 85. #3331 | C22 | semidirect |
| 86. #3330 | C22 | semidirect |
| 87. #3329 | C22 | semidirect |
| 88. #3328 | C22 | semidirect |
| 89. #3325 | C22 | semidirect |
| 90. #3324 | C22 | semidirect |
| 91. #3321 | C22 | semidirect |
| 92. #3320 | C22 | semidirect |
| 93. #3317 | C22 | semidirect |
| 94. #3316 | C22 | semidirect |
| 95. #3311 | C22 | semidirect |
| 96. #3310 | C22 | semidirect |
| 97. #3307 | C22 | semidirect |
| 98. #3306 | C22 | semidirect |
| 99. #3305 | C22 | semidirect |
| 100. #3305 | C22 | semidirect |
| 101. #3302 | C22 | semidirect |
| 102. #3302 | C22 | semidirect |
| 103. #3298 | C22 | semidirect |
| 104. #3298 | C22 | semidirect |
| 105. #3295 | C22 | semidirect |
| 106. #3295 | C22 | semidirect |
| 107. #3284 | C22 | semidirect |
| 108. #3284 | C22 | semidirect |
| 109. D4×SD16 | C22 | semidirect |
| 110. D4×SD16 | C22 | semidirect |
| 111. #3278 | C22 | semidirect |
| 112. #3276 | C22 | semidirect |
| 113. #3274 | C22 | semidirect |
| 114. #3272 | C22 | semidirect |
| 115. #3271 | C22 | semidirect |
| 116. #3267 | C22 | semidirect |
| 117. #3266 | C22 | semidirect |
| 118. #3265 | C22 | semidirect |
| 119. #3250 | C22 | semidirect |
| 120. #3249 | C22 | semidirect |
| 121. #3246 | C22 | semidirect |
| 122. #3246 | C22 | semidirect |
| 123. #3246 | C22 | semidirect |
| 124. #3245 | C22 | semidirect |
| 125. #3239 | C22 | semidirect |
| 126. #3238 | C22 | semidirect |
| 127. #3237 | C22 | semidirect |
| 128. #3235 | C22 | semidirect |
| 129. #3231 | C22 | semidirect |
| 130. #3231 | C22 | semidirect |
| 131. #3229 | C22 | semidirect |
| 132. #3228 | C22 | semidirect |
| 133. #3228 | C22 | semidirect |
| 134. #3227 | C22 | semidirect |
| 135. #3218 | C22 | semidirect |
| 136. #3217 | C22 | semidirect |
| 137. #3216 | C22 | semidirect |
| 138. #3214 | C22 | semidirect |
| 139. #3210 | C22 | semidirect |
| 140. #3210 | C22 | semidirect |
| 141. #3208 | C22 | semidirect |
| 142. #3207 | C22 | semidirect |
| 143. #3207 | C22 | semidirect |
| 144. #3206 | C22 | semidirect |
| 145. #3204 | C22 | semidirect |
| 146. #3204 | C22 | semidirect |
| 147. #3201 | C22 | semidirect |
| 148. #3201 | C22 | semidirect |
| 149. #3200 | C22 | semidirect |
| 150. #3200 | C22 | semidirect |
| 151. #3198 | C22 | semidirect |
| 152. #3198 | C22 | semidirect |
| 153. #3191 | C22 | semidirect |
| 154. #3191 | C22 | semidirect |
| 155. #3190 | C22 | semidirect |
| 156. #3190 | C22 | semidirect |
| 157. #3188 | C22 | semidirect |
| 158. #3188 | C22 | semidirect |
| 159. #3187 | C22 | semidirect |
| 160. #3187 | C22 | semidirect |
| 161. #3181 | C22 | semidirect |
| 162. #3180 | C22 | semidirect |
| 163. #3170 | C22 | semidirect |
| 164. #3169 | C22 | semidirect |
| 165. #3167 | C22 | semidirect |
| 166. #3167 | C22 | semidirect |
| 167. #3167 | C22 | semidirect |
| 168. #3167 | C22 | semidirect |
| 169. #3116 | C22 | semidirect |
| 170. #3115 | C22 | semidirect |
| 171. #3113 | C22 | semidirect |
| 172. #3112 | C22 | semidirect |
| 173. #3110 | C22 | semidirect |
| 174. #3109 | C22 | semidirect |
| 175. #3103 | C22 | semidirect |
| 176. #3103 | C22 | semidirect |
| 177. #3102 | C22 | semidirect |
| 178. #3102 | C22 | semidirect |
| 179. #3101 | C22 | semidirect |
| 180. #3101 | C22 | semidirect |
| 181. #3099 | C22 | semidirect |
| 182. #3099 | C22 | semidirect |
| 183. #3097 | C22 | semidirect |
| 184. #3096 | C22 | semidirect |
| 185. #3056 | C22 | semidirect |
| 186. #3055 | C22 | semidirect |
| 187. #3050 | C22 | semidirect |
| 188. C2×#465 | C22 | semidirect |
| 189. #3013 | C22 | semidirect |
| 190. #3012 | C22 | semidirect |
| 191. #3010 | C22 | semidirect |
| 192. #3009 | C22 | semidirect |
| 193. #2981 | C22 | semidirect |
| 194. #2981 | C22 | semidirect |
| 195. #2981 | C22 | semidirect |
| 196. #2981 | C22 | semidirect |
| 197. #2981 | C22 | semidirect |
| 198. #2981 | C22 | semidirect |
| 199. C2×#436 | C22 | semidirect |
| 200. C2×#435 | C22 | semidirect |
| 201. C2×C8×D4 | C22 | semidirect |
| 202. C2×#432 | C22 | semidirect |
| 203. C2×#431 | C22 | semidirect |
| 204. C2×#408 | C22 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #62835 | 2 |
| #62834 | 2 |
| #62260 | 2 |
| #62259 | 2 |
| #62256 | 2 |
| #62248 | 2 |
| #62243 | 2 |
| #61815 | 2 |
| #61812 | 2 |
| #61809 | 2 |
| #61808 | 2 |
| #61805 | 2 |
| #61803 | 2 |
| #61692 | 2 |
| #61689 | 2 |
| #61686 | 2 |
| #61685 | 2 |
| #61682 | 2 |
| #61680 | 2 |
| #60963 | 2 |
| #60962 | 2 |
| #60944 | 2 |
| #60941 | 2 |
| #60769 | 2 |
| C2×#2981 | 2 |