Finite Group DatabasebetaFinite Group DatabasebetaOrder 512.
7335 conjugacy classes of subgroups.
The subgroup lattice has 1568 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #62834 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #62832 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #62463 | C2 | 1 | 8 | yes | maximal, complemented |
| 4 | #62459 | C2 | 1 | 8 | yes | maximal, complemented |
| 5 | #62426 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | #62423 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #62423 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #62421 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #62415 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #62414 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #61419 | C2 | 1 | 4 | yes | maximal, complemented |
| 12 | #61093 | C2 | 1 | 4 | yes | maximal, complemented |
| 13 | #61072 | C2 | 1 | 8 | yes | maximal, complemented |
| 14 | #60822 | C2 | 1 | 2 | yes | maximal, complemented |
| 15 | #60817 | C2 | 1 | 2 | yes | maximal, complemented |
| 16 | #60782 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 17 | C2×#3205 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 18 | #60722 | C2 | 1 | 2 | yes | maximal, complemented |
| 19 | #60700 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 20 | #60647 | C2 | 1 | 2 | yes | maximal, complemented |
| 21 | C2×#3151 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 22 | #60210 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 23 | C2×#576 | C22 | 1 | 8 | yes | complemented |
| 24 | C22×AGL(1,ℤ/8) | C22 | 1 | 4 | yes | complemented |
| 25 | #3558 | — | 2 | 2 | no | — |
| 26 | #3558 | C22 | 1 | 4 | yes | complemented |
| 27 | #3549 | — | 2 | 1 | no | — |
| 28 | #3548 | — | 2 | 1 | no | — |
| 29 | #3546 | — | 2 | 2 | no | — |
| 30 | #3546 | C22 | 1 | 4 | yes | complemented |
| 31 | #3543 | — | 2 | 2 | no | — |
| 32 | #3543 | — | 2 | 2 | no | — |
| 33 | #3543 | — | 2 | 2 | no | — |
| 34 | #3543 | — | 2 | 2 | no | — |
| 35 | #3543 | C22 | 1 | 4 | yes | complemented |
| 36 | #3543 | C22 | 1 | 4 | yes | complemented |
| 37 | #3537 | — | 2 | 2 | no | — |
| 38 | #3519 | — | 2 | 2 | no | — |
| 39 | #3519 | — | 2 | 2 | no | — |
| 40 | #3511 | C22 | 1 | 2 | yes | complemented |
| 41 | #3511 | C22 | 1 | 2 | yes | complemented |
| 42 | #3508 | — | 2 | 1 | no | — |
| 43 | #3508 | — | 2 | 1 | no | — |
| 44 | #3508 | C22 | 1 | 2 | yes | complemented |
| 45 | #3508 | C22 | 1 | 2 | yes | complemented |
| 46 | #3508 | C22 | 1 | 4 | yes | complemented |
| 47 | #3508 | C22 | 1 | 2 | yes | complemented |
| 48 | #3508 | C22 | 1 | 2 | yes | complemented |
| 49 | #3506 | — | 2 | 1 | no | — |
| 50 | #3506 | C22 | 1 | 2 | yes | complemented |
| 51 | #3498 | — | 2 | 1 | no | — |
| 52 | #3498 | — | 2 | 1 | no | — |
| 53 | #3498 | C22 | 1 | 2 | yes | complemented |
| 54 | #3498 | C22 | 1 | 2 | yes | complemented |
| 55 | #3498 | C22 | 1 | 2 | yes | complemented |
| 56 | #3498 | C22 | 1 | 2 | yes | complemented |
| 57 | #3498 | C22 | 1 | 2 | yes | complemented |
| 58 | #3498 | C22 | 1 | 2 | yes | complemented |
| 59 | #3496 | — | 2 | 1 | no | — |
| 60 | #3496 | C22 | 1 | 2 | yes | complemented |
| 61 | #3488 | — | 2 | 2 | no | — |
| 62 | #3488 | C22 | 1 | 4 | yes | complemented |
| 63 | #3484 | — | 2 | 2 | no | — |
| 64 | #3484 | — | 2 | 2 | no | — |
| 65 | #3484 | C22 | 1 | 4 | yes | complemented |
| 66 | #3444 | C22 | 1 | 1 | yes | characteristic |
| 67 | #3444 | C22 | 1 | 1 | yes | characteristic, complemented |
| 68 | C2×#532 | C22 | 1 | 1 | yes | characteristic, complemented |
| 69 | C2×#532 | C22 | 1 | 1 | yes | characteristic, complemented |
| 70 | C22×#127 | C22 | 1 | 1 | yes | characteristic, complemented |
| 71 | #3403 | C22 | 1 | 16 | yes | complemented |
| 72 | #3399 | C22 | 1 | 16 | yes | complemented |
| 73 | #3399 | C22 | 1 | 8 | yes | complemented |
| 74 | #3397 | C22 | 1 | 8 | yes | complemented |
| 75 | #3394 | C22 | 1 | 8 | yes | complemented |
| 76 | #3391 | C22 | 1 | 8 | yes | complemented |
| 77 | #3284 | C22 | 1 | 8 | yes | complemented |
| 78 | #3282 | C22 | 1 | 16 | yes | complemented |
| 79 | D4×D8 | C22 | 1 | 16 | yes | complemented |
| 80 | D4×D8 | C22 | 1 | 8 | yes | complemented |
| 81 | #3274 | C22 | 1 | 16 | yes | complemented |
| 82 | #3274 | C22 | 1 | 8 | yes | complemented |
| 83 | #3273 | C22 | 1 | 16 | yes | complemented |
| 84 | #3272 | C22 | 1 | 8 | yes | complemented |
| 85 | #3268 | C22 | 1 | 16 | yes | complemented |
| 86 | #3268 | C22 | 1 | 16 | yes | complemented |
| 87 | #3265 | C22 | 1 | 16 | yes | complemented |
| 88 | #3264 | C22 | 1 | 16 | yes | complemented |
| 89 | #3264 | C22 | 1 | 16 | yes | complemented |
| 90 | #3264 | C22 | 1 | 16 | yes | complemented |
| 91 | #3224 | C22 | 1 | 16 | yes | complemented |
| 92 | #3220 | C22 | 1 | 16 | yes | complemented |
| 93 | #3212 | C22 | 1 | 4 | yes | complemented |
| 94 | #3211 | C22 | 1 | 4 | yes | complemented |
| 95 | #3210 | C22 | 1 | 2 | yes | complemented |
| 96 | #3210 | C22 | 1 | 4 | yes | complemented |
| 97 | #3209 | C22 | 1 | 1 | yes | characteristic, complemented |
| 98 | #3208 | C22 | 1 | 1 | yes | characteristic, complemented |
| 99 | #3208 | C22 | 1 | 4 | yes | complemented |
| 100 | #3207 | C22 | 1 | 2 | yes | complemented |
| 101 | #3207 | C22 | 1 | 4 | yes | complemented |
| 102 | #3207 | C22 | 1 | 4 | yes | complemented |
| 103 | #3207 | C22 | 1 | 4 | yes | complemented |
| 104 | #3206 | C22 | 1 | 1 | yes | characteristic, complemented |
| 105 | #3205 | C22 | 1 | 2 | yes | complemented |
| 106 | #3205 | C22 | 1 | 2 | yes | complemented |
| 107 | #3205 | C22 | 1 | 4 | yes | complemented |
| 108 | #3205 | C22 | 1 | 4 | yes | complemented |
| 109 | #3205 | C22 | 1 | 4 | yes | complemented |
| 110 | #3205 | C22 | 1 | 1 | yes | characteristic, complemented |
| 111 | #3205 | C22 | 1 | 4 | yes | complemented |
| 112 | #3205 | C22 | 1 | 4 | yes | complemented |
| 113 | #3205 | C22 | 1 | 4 | yes | complemented |
| 114 | #3184 | C22 | 1 | 2 | yes | complemented |
| 115 | #3184 | C22 | 1 | 4 | yes | complemented |
| 116 | #3182 | C22 | 1 | 2 | yes | complemented |
| 117 | #3182 | C22 | 1 | 4 | yes | complemented |
| 118 | #3180 | C22 | 1 | 4 | yes | complemented |
| 119 | #3179 | C22 | 1 | 16 | yes | complemented |
| 120 | #3171 | C22 | 1 | 4 | yes | complemented |
| 121 | #3169 | C22 | 1 | 2 | yes | complemented |
| 122 | #3169 | C22 | 1 | 4 | yes | complemented |
| 123 | #3167 | C22 | 1 | 2 | yes | complemented |
| 124 | #3167 | C22 | 1 | 4 | yes | complemented |
| 125 | #3165 | C22 | 1 | 1 | yes | characteristic, complemented |
| 126 | #3155 | C22 | 1 | 8 | yes | complemented |
| 127 | #3155 | C22 | 1 | 16 | yes | complemented |
| 128 | #3151 | C22 | 1 | 2 | yes | complemented |
| 129 | #3151 | C22 | 1 | 2 | yes | complemented |
| 130 | #3151 | C22 | 1 | 4 | yes | complemented |
| 131 | #3151 | C22 | 1 | 4 | yes | complemented |
| 132 | #3151 | C22 | 1 | 4 | yes | complemented |
| 133 | #3151 | C22 | 1 | 1 | yes | characteristic, complemented |
| 134 | #3151 | C22 | 1 | 4 | yes | complemented |
| 135 | #3151 | C22 | 1 | 4 | yes | complemented |
| 136 | C2×#496 | C22 | 1 | 4 | yes | complemented |
| 137 | #3147 | C22 | 1 | 2 | yes | complemented |
| 138 | #3147 | C22 | 1 | 4 | yes | complemented |
| 139 | C2×#493 | C22 | 1 | 2 | yes | complemented |
| 140 | C2×#493 | C22 | 1 | 2 | yes | complemented |
| 141 | C2×#493 | C22 | 1 | 4 | yes | complemented |
| 142 | C2×#492 | C22 | 1 | 2 | yes | complemented |
| 143 | #3141 | C22 | 1 | 1 | yes | characteristic, complemented |
| 144 | #3138 | C22 | 1 | 1 | yes | characteristic, complemented |
| 145 | #3131 | C22 | 1 | 2 | yes | complemented |
| 146 | C2×#486 | C22 | 1 | 2 | yes | complemented |
| 147 | #3062 | C22 | 1 | 8 | yes | complemented |
| 148 | #3055 | C22 | 1 | 4 | yes | complemented |
| 149 | #3045 | C22 | 1 | 8 | yes | complemented |
| 150 | #3041 | C22 | 1 | 8 | yes | complemented |
| 151 | #3035 | C22 | 1 | 4 | yes | complemented |
| 152 | C2×#459 | C22 | 1 | 4 | yes | complemented |
| 153 | #3012 | C22 | 1 | 8 | yes | complemented |
| 154 | #3008 | C22 | 1 | 8 | yes | complemented |
| 155 | #3002 | C22 | 1 | 4 | yes | complemented |
| 156 | C2×#447 | C22 | 1 | 4 | yes | complemented |
| 157 | #2969 | C22 | 1 | 4 | yes | complemented |
| 158 | #2968 | C22 | 1 | 4 | yes | complemented |
| 159 | #2965 | C22 | 1 | 2 | yes | complemented |
| 160 | #2965 | C22 | 1 | 4 | yes | complemented |
| 161 | C8×#41 | C22 | 1 | 2 | yes | complemented |
| 162 | #2962 | C22 | 1 | 2 | yes | complemented |
| 163 | #2946 | C22 | 1 | 8 | yes | complemented |
| 164 | C4×AGL(1,ℤ/8) | C22 | 1 | 4 | yes | complemented |
| 165 | #2935 | C22 | 1 | 2 | yes | complemented |
| 166 | #2933 | C22 | 1 | 4 | yes | complemented |
| 167 | #2922 | C22 | 1 | 2 | yes | complemented |
| 168 | C2×#431 | C22 | 1 | 1 | yes | characteristic, complemented |
| 169 | C4×#131 | C22 | 1 | 2 | yes | complemented |
| 170 | C2×C4×M16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 171 | C2×H(5,𝔽2) | — | 2 | 2 | no | — |
| 172 | C2×H(5,𝔽2) | — | 2 | 2 | no | — |
| 173 | C2×H(5,𝔽2) | — | 2 | 2 | no | — |
| 174 | C2×H(5,𝔽2) | C23 | 1 | 4 | yes | — |
| 175 | C2×H(5,𝔽2) | C23 | 1 | 4 | yes | — |
| 176 | C22×#41 | — | 2 | 1 | no | — |
| 177 | C22×#41 | C23 | 1 | 2 | yes | — |
| 178 | C23×D4 | — | 2 | 1 | no | — |
| 179 | C23×D4 | — | 2 | 1 | no | — |
| 180 | C23×D4 | C23 | 1 | 2 | yes | — |
| 181 | #576 | — | 4 | 32 | no | — |
| 182 | C2×AGL(1,ℤ/8) | — | 4 | 16 | no | — |
| 183 | C2×AGL(1,ℤ/8) | C23 | 1 | 8 | yes | — |
| 184 | C2×AGL(1,ℤ/8) | C23 | 1 | 4 | yes | — |
| 185 | C2×AGL(1,ℤ/8) | C23 | 1 | 8 | yes | — |
| 186 | C2×AGL(1,ℤ/8) | C23 | 1 | 16 | yes | — |
| 187 | C2×AGL(1,ℤ/8) | C23 | 1 | 16 | yes | complemented |
| 188 | C2×AGL(1,ℤ/8) | C23 | 1 | 16 | yes | complemented |
| 189 | C2×#135 | C23 | 1 | 8 | yes | — |
| 190 | C2×#135 | C23 | 1 | 16 | yes | complemented |
| 191 | C22×SD16 | C23 | 1 | 8 | yes | — |
| 192 | C22×D8 | C23 | 1 | 8 | yes | — |
| 193 | C22×D8 | C23 | 1 | 8 | yes | — |
| 194 | C22×D8 | C23 | 1 | 16 | yes | complemented |
| 195 | C2×#131 | C23 | 1 | 4 | yes | — |
| 196 | C22×M16 | C23 | 1 | 2 | yes | — |
| 197 | #562 | — | 2 | 4 | no | — |
| 198 | H(3,𝔽4) | — | 2 | 4 | no | — |
| 199 | #560 | — | 2 | 8 | no | — |
| 200 | #560 | — | 2 | 8 | no | — |
| 201 | #560 | — | 2 | 8 | no | — |
| 202 | #559 | — | 2 | 4 | no | — |
| 203 | #559 | — | 2 | 2 | no | — |
| 204 | #559 | — | 2 | 2 | no | — |
| 205 | #559 | — | 2 | 2 | no | — |
| 206 | #559 | — | 2 | 2 | no | — |
| 207 | #559 | C23 | 1 | 4 | yes | — |
| 208 | #559 | C23 | 1 | 4 | yes | — |
| 209 | #559 | C23 | 1 | 8 | yes | complemented |
| 210 | #556 | — | 2 | 2 | no | — |
| 211 | #556 | C23 | 1 | 4 | yes | complemented |
| 212 | #555 | — | 2 | 2 | no | — |
| 213 | #555 | — | 2 | 2 | no | — |
| 214 | #555 | — | 2 | 2 | no | — |
| 215 | #554 | — | 2 | 2 | no | — |
| 216 | #554 | — | 2 | 2 | no | — |
| 217 | #553 | — | 2 | 4 | no | — |
| 218 | #553 | — | 2 | 4 | no | — |
| 219 | #553 | — | 2 | 4 | no | — |
| 220 | #553 | — | 2 | 4 | no | — |
| 221 | #550 | — | 2 | 2 | no | — |
| 222 | #550 | — | 2 | 2 | no | — |
| 223 | #550 | — | 2 | 2 | no | — |
| 224 | #550 | — | 2 | 2 | no | — |
| 225 | #550 | — | 2 | 2 | no | — |
| 226 | #550 | — | 2 | 2 | no | — |
| 227 | #550 | — | 2 | 2 | no | — |
| 228 | #550 | — | 2 | 4 | no | — |
| 229 | #550 | — | 2 | 2 | no | — |
| 230 | #550 | — | 2 | 2 | no | — |
| 231 | #550 | — | 2 | 2 | no | — |
| 232 | #550 | — | 2 | 2 | no | — |
| 233 | #550 | C23 | 1 | 8 | yes | — |
| 234 | #550 | C23 | 1 | 4 | yes | — |
| 235 | #550 | C23 | 1 | 4 | yes | — |
| 236 | #550 | C23 | 1 | 4 | yes | — |
| 237 | #550 | C23 | 1 | 4 | yes | — |
| 238 | #550 | C23 | 1 | 4 | yes | complemented |
| 239 | #548 | — | 2 | 4 | no | — |
| 240 | #548 | C23 | 1 | 8 | yes | — |
| 241 | #547 | — | 2 | 2 | no | — |
| 242 | #547 | — | 2 | 2 | no | — |
| 243 | #547 | — | 2 | 2 | no | — |
| 244 | #547 | C23 | 1 | 4 | yes | complemented |
| 245 | #546 | — | 2 | 4 | no | — |
| 246 | #546 | — | 2 | 4 | no | — |
| 247 | #546 | — | 2 | 8 | no | — |
| 248 | #546 | — | 2 | 8 | no | — |
| 249 | #546 | — | 2 | 4 | no | — |
| 250 | #546 | — | 2 | 4 | no | — |
| 251 | #546 | — | 2 | 4 | no | — |
| 252 | #546 | — | 2 | 4 | no | — |
| 253 | #546 | — | 2 | 4 | no | — |
| 254 | #546 | — | 2 | 4 | no | — |
| 255 | #546 | — | 2 | 4 | no | — |
| 256 | #546 | — | 2 | 4 | no | — |
| 257 | #546 | — | 2 | 4 | no | — |
| 258 | #546 | — | 2 | 4 | no | — |
| 259 | #546 | — | 2 | 4 | no | — |
| 260 | #546 | — | 2 | 4 | no | — |
| 261 | #546 | C23 | 1 | 8 | yes | — |
| 262 | #546 | C23 | 1 | 8 | yes | — |
| 263 | #546 | C23 | 1 | 8 | yes | — |
| 264 | #546 | C23 | 1 | 8 | yes | complemented |
| 265 | D42 | — | 2 | 2 | no | — |
| 266 | D42 | — | 2 | 4 | no | — |
| 267 | D42 | — | 2 | 4 | no | — |
| 268 | D42 | — | 2 | 4 | no | — |
| 269 | D42 | — | 2 | 4 | no | — |
| 270 | D42 | — | 2 | 4 | no | — |
| 271 | D42 | — | 2 | 4 | no | — |
| 272 | D42 | — | 2 | 8 | no | — |
| 273 | D42 | — | 2 | 4 | no | — |
| 274 | D42 | — | 2 | 4 | no | — |
| 275 | D42 | — | 2 | 4 | no | — |
| 276 | D42 | — | 2 | 4 | no | — |
| 277 | D42 | — | 2 | 4 | no | — |
| 278 | D42 | — | 2 | 2 | no | — |
| 279 | D42 | — | 2 | 2 | no | — |
| 280 | D42 | — | 2 | 2 | no | — |
| 281 | D42 | — | 2 | 2 | no | — |
| 282 | D42 | — | 2 | 2 | no | — |
| 283 | D42 | — | 2 | 4 | no | — |
| 284 | D42 | — | 2 | 4 | no | — |
| 285 | D42 | — | 2 | 2 | no | — |
| 286 | D42 | — | 2 | 2 | no | — |
| 287 | D42 | C23 | 1 | 8 | yes | — |
| 288 | D42 | C23 | 1 | 8 | yes | — |
| 289 | D42 | C23 | 1 | 8 | yes | — |
| 290 | D42 | C23 | 1 | 4 | yes | — |
| 291 | D42 | C23 | 1 | 4 | yes | — |
| 292 | D42 | C23 | 1 | 4 | yes | complemented |
| 293 | #542 | — | 2 | 4 | no | — |
| 294 | #542 | C23 | 1 | 8 | yes | complemented |
| 295 | #540 | — | 2 | 4 | no | — |
| 296 | #540 | — | 2 | 4 | no | — |
| 297 | #540 | — | 2 | 4 | no | — |
| 298 | #540 | — | 2 | 4 | no | — |
| 299 | #540 | — | 2 | 4 | no | — |
| 300 | #540 | — | 2 | 4 | no | — |
| 301 | #540 | — | 2 | 4 | no | — |
| 302 | #540 | C23 | 1 | 8 | yes | — |
| 303 | #538 | — | 2 | 8 | no | — |
| 304 | #538 | — | 2 | 8 | no | — |
| 305 | #538 | — | 2 | 4 | no | — |
| 306 | #538 | — | 2 | 4 | no | — |
| 307 | #537 | — | 2 | 2 | no | — |
| 308 | #537 | — | 2 | 4 | no | — |
| 309 | #537 | — | 2 | 4 | no | — |
| 310 | #537 | C23 | 1 | 4 | yes | — |
| 311 | #535 | — | 2 | 2 | no | — |
| 312 | #535 | — | 2 | 2 | no | — |
| 313 | #535 | — | 2 | 4 | no | — |
| 314 | #535 | — | 2 | 4 | no | — |
| 315 | #535 | — | 2 | 4 | no | — |
| 316 | #535 | — | 2 | 4 | no | — |
| 317 | #535 | — | 2 | 4 | no | — |
| 318 | #535 | — | 2 | 4 | no | — |
| 319 | #535 | — | 2 | 2 | no | — |
| 320 | #535 | — | 2 | 2 | no | — |
| 321 | #535 | — | 2 | 2 | no | — |
| 322 | #535 | — | 2 | 4 | no | — |
| 323 | #535 | — | 2 | 4 | no | — |
| 324 | #535 | — | 2 | 4 | no | — |
| 325 | #535 | C23 | 1 | 8 | yes | — |
| 326 | #535 | C23 | 1 | 4 | yes | — |
| 327 | #535 | C23 | 1 | 4 | yes | — |
| 328 | #535 | C23 | 1 | 4 | yes | — |
| 329 | #535 | C23 | 1 | 8 | yes | complemented |
| 330 | #534 | — | 2 | 8 | no | — |
| 331 | #534 | — | 2 | 8 | no | — |
| 332 | #534 | — | 2 | 8 | no | — |
| 333 | #534 | — | 2 | 4 | no | — |
| 334 | #534 | — | 2 | 4 | no | — |
| 335 | #533 | D4 | 1 | 1 | yes | characteristic |
| 336 | #533 | D4 | 1 | 1 | yes | characteristic |
| 337 | #533 | C23 | 1 | 1 | yes | characteristic |
| 338 | #533 | C23 | 1 | 1 | yes | characteristic |
| 339 | #533 | C23 | 1 | 1 | yes | characteristic |
| 340 | #533 | C23 | 1 | 1 | yes | characteristic |
| 341 | #533 | C23 | 1 | 4 | yes | complemented |
| 342 | #532 | — | 2 | 2 | no | — |
| 343 | #532 | — | 2 | 2 | no | — |
| 344 | #532 | — | 2 | 2 | no | — |
| 345 | #532 | — | 2 | 1 | no | — |
| 346 | #532 | — | 2 | 1 | no | — |
| 347 | #532 | — | 2 | 1 | no | — |
| 348 | #532 | — | 2 | 1 | no | — |
| 349 | #532 | — | 2 | 1 | no | — |
| 350 | #532 | — | 2 | 1 | no | — |
| 351 | #532 | — | 2 | 1 | no | — |
| 352 | #532 | — | 2 | 1 | no | — |
| 353 | #532 | D4 | 1 | 1 | yes | characteristic |
| 354 | #532 | D4 | 1 | 1 | yes | characteristic |
| 355 | #532 | C23 | 1 | 2 | yes | — |
| 356 | #532 | C23 | 1 | 1 | yes | characteristic |
| 357 | #532 | C23 | 1 | 4 | yes | — |
| 358 | #532 | C23 | 1 | 2 | yes | — |
| 359 | #532 | C23 | 1 | 2 | yes | — |
| 360 | #532 | C23 | 1 | 2 | yes | — |
| 361 | #532 | C23 | 1 | 2 | yes | — |
| 362 | #532 | C23 | 1 | 4 | yes | — |
| 363 | #532 | C23 | 1 | 1 | yes | characteristic |
| 364 | #532 | C23 | 1 | 4 | yes | — |
| 365 | #532 | C23 | 1 | 2 | yes | — |
| 366 | #532 | C23 | 1 | 2 | yes | — |
| 367 | #532 | C23 | 1 | 2 | yes | — |
| 368 | #532 | C23 | 1 | 1 | yes | characteristic |
| 369 | #532 | C23 | 1 | 1 | yes | characteristic |
| 370 | #532 | C23 | 1 | 4 | yes | complemented |
| 371 | #532 | C23 | 1 | 4 | yes | complemented |
| 372 | C2×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 373 | C2×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 374 | C2×#127 | — | 2 | 2 | no | — |
| 375 | C2×#127 | — | 2 | 1 | no | — |
| 376 | C2×#127 | — | 2 | 1 | no | — |
| 377 | C2×#127 | — | 2 | 1 | no | — |
| 378 | C2×#127 | — | 2 | 1 | no | — |
| 379 | C2×#127 | — | 2 | 1 | no | — |
| 380 | C2×#127 | — | 2 | 1 | no | — |
| 381 | C2×#127 | C23 | 1 | 2 | yes | — |
| 382 | C2×#127 | C23 | 1 | 1 | yes | characteristic |
| 383 | C2×#127 | C23 | 1 | 2 | yes | — |
| 384 | C2×#127 | C23 | 1 | 1 | yes | characteristic |
| 385 | C2×#127 | C23 | 1 | 4 | yes | — |
| 386 | C2×#127 | C23 | 1 | 2 | yes | — |
| 387 | C2×#127 | C23 | 1 | 2 | yes | — |
| 388 | C2×#127 | C23 | 1 | 2 | yes | — |
| 389 | C2×#127 | C23 | 1 | 2 | yes | — |
| 390 | C2×#127 | C23 | 1 | 4 | yes | complemented |
| 391 | #529 | — | 2 | 1 | no | — |
| 392 | #529 | — | 2 | 1 | no | — |
| 393 | #529 | — | 2 | 1 | no | — |
| 394 | #529 | — | 2 | 1 | no | — |
| 395 | #529 | D4 | 1 | 2 | yes | — |
| 396 | #529 | D4 | 1 | 2 | yes | — |
| 397 | #529 | D4 | 1 | 2 | yes | — |
| 398 | #529 | D4 | 1 | 2 | yes | — |
| 399 | #529 | C23 | 1 | 2 | yes | — |
| 400 | #529 | C23 | 1 | 2 | yes | — |
| 401 | #529 | C23 | 1 | 2 | yes | — |
| 402 | #529 | C23 | 1 | 2 | yes | — |
| 403 | C2×#124 | — | 2 | 1 | no | — |
| 404 | C2×#124 | C23 | 1 | 2 | yes | — |
| 405 | #525 | — | 2 | 1 | no | — |
| 406 | #525 | — | 2 | 1 | no | — |
| 407 | #525 | — | 2 | 4 | no | — |
| 408 | #525 | — | 2 | 4 | no | — |
| 409 | #525 | D4 | 1 | 2 | yes | — |
| 410 | #525 | D4 | 1 | 2 | yes | — |
| 411 | #525 | C23 | 1 | 2 | yes | — |
| 412 | #525 | C23 | 1 | 2 | yes | — |
| 413 | C2×#121 | — | 2 | 1 | no | — |
| 414 | C2×#121 | — | 2 | 1 | no | — |
| 415 | C2×#121 | — | 2 | 1 | no | — |
| 416 | C2×#121 | — | 2 | 4 | no | — |
| 417 | C2×#121 | — | 2 | 4 | no | — |
| 418 | C2×#121 | C23 | 1 | 2 | yes | — |
| 419 | C2×#120 | — | 2 | 8 | no | — |
| 420 | #520 | — | 2 | 2 | no | — |
| 421 | #520 | C23 | 1 | 4 | yes | — |
| 422 | #518 | — | 2 | 2 | no | — |
| 423 | #518 | — | 2 | 2 | no | — |
| 424 | #518 | — | 2 | 4 | no | — |
| 425 | #518 | C23 | 1 | 4 | yes | — |
| 426 | C4×#41 | — | 2 | 1 | no | — |
| 427 | C4×#41 | — | 2 | 1 | no | — |
| 428 | C4×#41 | C23 | 1 | 2 | yes | — |
| 429 | C4×#41 | C23 | 1 | 2 | yes | — |
| 430 | C4×#41 | C23 | 1 | 2 | yes | — |
| 431 | C4×#41 | C23 | 1 | 2 | yes | — |
| 432 | C2×C4×D4 | — | 2 | 1 | no | — |
| 433 | C2×C4×D4 | — | 2 | 1 | no | — |
| 434 | C2×C4×D4 | — | 2 | 1 | no | — |
| 435 | C2×C4×D4 | C23 | 1 | 2 | yes | — |
| 436 | C22×C42 | C23 | 1 | 1 | yes | characteristic |
| 437 | #501 | C23 | 1 | 4 | yes | complemented |
| 438 | #500 | C23 | 1 | 2 | yes | complemented |
| 439 | #498 | C23 | 1 | 2 | yes | complemented |
| 440 | #496 | C23 | 1 | 16 | yes | — |
| 441 | #496 | C23 | 1 | 8 | yes | — |
| 442 | #496 | C23 | 1 | 8 | yes | — |
| 443 | #496 | C23 | 1 | 16 | yes | complemented |
| 444 | #496 | C23 | 1 | 16 | yes | complemented |
| 445 | #496 | C23 | 1 | 4 | yes | complemented |
| 446 | #495 | C23 | 1 | 16 | yes | complemented |
| 447 | #495 | C23 | 1 | 8 | yes | complemented |
| 448 | #494 | C23 | 1 | 2 | yes | complemented |
| 449 | #493 | C23 | 1 | 8 | yes | — |
| 450 | #493 | C23 | 1 | 4 | yes | — |
| 451 | #493 | C23 | 1 | 4 | yes | — |
| 452 | #493 | C23 | 1 | 4 | yes | — |
| 453 | #493 | C23 | 1 | 4 | yes | — |
| 454 | #493 | C23 | 1 | 8 | yes | — |
| 455 | #493 | C23 | 1 | 16 | yes | complemented |
| 456 | #493 | C23 | 1 | 2 | yes | complemented |
| 457 | #493 | C23 | 1 | 2 | yes | complemented |
| 458 | #492 | C23 | 1 | 8 | yes | — |
| 459 | #492 | C23 | 1 | 4 | yes | — |
| 460 | #492 | C23 | 1 | 4 | yes | — |
| 461 | #492 | C23 | 1 | 2 | yes | complemented |
| 462 | #492 | C23 | 1 | 2 | yes | complemented |
| 463 | #492 | C23 | 1 | 2 | yes | complemented |
| 464 | #490 | C23 | 1 | 4 | yes | complemented |
| 465 | #489 | C23 | 1 | 4 | yes | complemented |
| 466 | #488 | C23 | 1 | 8 | yes | complemented |
| 467 | #487 | C23 | 1 | 2 | yes | complemented |
| 468 | #487 | C23 | 1 | 2 | yes | complemented |
| 469 | #487 | C23 | 1 | 2 | yes | complemented |
| 470 | #486 | C23 | 1 | 4 | yes | — |
| 471 | #486 | C23 | 1 | 8 | yes | — |
| 472 | #486 | C23 | 1 | 4 | yes | — |
| 473 | #486 | C23 | 1 | 2 | yes | complemented |
| 474 | #486 | C23 | 1 | 2 | yes | complemented |
| 475 | #486 | C23 | 1 | 2 | yes | complemented |
| 476 | #486 | C23 | 1 | 2 | yes | complemented |
| 477 | #486 | C23 | 1 | 2 | yes | complemented |
| 478 | #469 | C23 | 1 | 8 | yes | — |
| 479 | #469 | C23 | 1 | 16 | yes | complemented |
| 480 | #468 | C23 | 1 | 8 | yes | — |
| 481 | #468 | C23 | 1 | 16 | yes | complemented |
| 482 | #466 | C23 | 1 | 8 | yes | — |
| 483 | #466 | C23 | 1 | 16 | yes | complemented |
| 484 | #465 | C23 | 1 | 8 | yes | — |
| 485 | #465 | C23 | 1 | 16 | yes | complemented |
| 486 | #464 | C23 | 1 | 16 | yes | complemented |
| 487 | #464 | C23 | 1 | 8 | yes | complemented |
| 488 | #463 | C23 | 1 | 16 | yes | complemented |
| 489 | #463 | C23 | 1 | 16 | yes | complemented |
| 490 | #463 | C23 | 1 | 8 | yes | complemented |
| 491 | #463 | C23 | 1 | 16 | yes | complemented |
| 492 | #462 | C23 | 1 | 4 | yes | complemented |
| 493 | #461 | C23 | 1 | 4 | yes | complemented |
| 494 | #460 | C23 | 1 | 16 | yes | complemented |
| 495 | #460 | C23 | 1 | 4 | yes | complemented |
| 496 | #459 | C23 | 1 | 8 | yes | — |
| 497 | #459 | C23 | 1 | 8 | yes | — |
| 498 | #459 | C23 | 1 | 16 | yes | — |
| 499 | #459 | C23 | 1 | 4 | yes | complemented |
| 500 | #459 | C23 | 1 | 16 | yes | complemented |
| 501 | #459 | C23 | 1 | 16 | yes | complemented |
| 502 | #459 | C23 | 1 | 16 | yes | complemented |
| 503 | #452 | C23 | 1 | 8 | yes | — |
| 504 | #452 | C23 | 1 | 16 | yes | complemented |
| 505 | #451 | C23 | 1 | 4 | yes | — |
| 506 | #450 | C23 | 1 | 4 | yes | — |
| 507 | #450 | C23 | 1 | 16 | yes | complemented |
| 508 | #449 | C23 | 1 | 8 | yes | — |
| 509 | #449 | C23 | 1 | 16 | yes | complemented |
| 510 | #449 | C23 | 1 | 16 | yes | complemented |
| 511 | #449 | C23 | 1 | 16 | yes | complemented |
| 512 | #448 | C23 | 1 | 4 | yes | — |
| 513 | #447 | C23 | 1 | 8 | yes | — |
| 514 | #447 | C23 | 1 | 16 | yes | — |
| 515 | #447 | C23 | 1 | 8 | yes | — |
| 516 | #447 | C23 | 1 | 4 | yes | — |
| 517 | #447 | C23 | 1 | 16 | yes | complemented |
| 518 | #447 | C23 | 1 | 16 | yes | complemented |
| 519 | #447 | C23 | 1 | 16 | yes | complemented |
| 520 | #446 | C23 | 1 | 4 | yes | complemented |
| 521 | #446 | C23 | 1 | 8 | yes | complemented |
| 522 | C8×Q8 | C23 | 1 | 4 | yes | complemented |
| 523 | #442 | C23 | 1 | 16 | yes | complemented |
| 524 | #442 | C23 | 1 | 8 | yes | complemented |
| 525 | #440 | C23 | 1 | 16 | yes | complemented |
| 526 | #440 | C23 | 1 | 8 | yes | complemented |
| 527 | C4×SD16 | C23 | 1 | 8 | yes | complemented |
| 528 | C4×SD16 | C23 | 1 | 16 | yes | complemented |
| 529 | C4×D8 | C23 | 1 | 8 | yes | complemented |
| 530 | C4×D8 | C23 | 1 | 16 | yes | complemented |
| 531 | #436 | C23 | 1 | 8 | yes | — |
| 532 | #436 | C23 | 1 | 4 | yes | complemented |
| 533 | #435 | C23 | 1 | 8 | yes | — |
| 534 | #435 | C23 | 1 | 8 | yes | — |
| 535 | #435 | C23 | 1 | 8 | yes | complemented |
| 536 | C8×D4 | C23 | 1 | 8 | yes | — |
| 537 | C8×D4 | C23 | 1 | 4 | yes | complemented |
| 538 | #433 | C23 | 1 | 8 | yes | complemented |
| 539 | #431 | C23 | 1 | 1 | yes | characteristic |
| 540 | #431 | C23 | 1 | 1 | yes | characteristic |
| 541 | #431 | C23 | 1 | 2 | yes | — |
| 542 | #431 | C23 | 1 | 2 | yes | — |
| 543 | #431 | C23 | 1 | 2 | yes | — |
| 544 | #431 | C23 | 1 | 4 | yes | complemented |
| 545 | #431 | C23 | 1 | 4 | yes | complemented |
| 546 | #428 | C23 | 1 | 4 | yes | — |
| 547 | #424 | C23 | 1 | 4 | yes | — |
| 548 | C2×C4⋊C8 | C23 | 1 | 2 | yes | — |
| 549 | #418 | C23 | 1 | 4 | yes | — |
| 550 | #417 | C23 | 1 | 4 | yes | — |
| 551 | #416 | C23 | 1 | 8 | yes | — |
| 552 | C2×#102 | C23 | 1 | 8 | yes | — |
| 553 | #408 | C23 | 1 | 4 | yes | — |
| 554 | C2×C22⋊C8 | C23 | 1 | 2 | yes | — |
| 555 | #405 | C23 | 1 | 4 | yes | — |
| 556 | #405 | C23 | 1 | 8 | yes | complemented |
| 557 | C4×M16 | C23 | 1 | 1 | yes | characteristic |
| 558 | C4×M16 | C23 | 1 | 1 | yes | characteristic |
| 559 | C4×M16 | C23 | 1 | 2 | yes | — |
| 560 | C4×M16 | C23 | 1 | 2 | yes | — |
| 561 | C4×M16 | C23 | 1 | 2 | yes | — |
| 562 | C4×M16 | C23 | 1 | 4 | yes | complemented |
| 563 | C2×#97 | C23 | 1 | 2 | yes | — |
| 564 | C2×C4×C8 | C23 | 1 | 2 | yes | — |
| 565 | C2×C4×C8 | C23 | 1 | 2 | yes | — |
| 566 | C2×C4×C8 | C23 | 1 | 4 | yes | complemented |
| 567 | C25 | — | 2 | 2 | no | — |
| 568 | H(5,𝔽2) | — | 4 | 16 | no | — |
| 569 | H(5,𝔽2) | — | 4 | 16 | no | — |
| 570 | H(5,𝔽2) | — | 8 | 8 | no | — |
| 571 | H(5,𝔽2) | — | 8 | 8 | no | — |
| 572 | H(5,𝔽2) | — | 8 | 8 | no | — |
| 573 | C2×#41 | — | 2 | 4 | no | — |
| 574 | C2×#41 | — | 2 | 4 | no | — |
| 575 | C2×#41 | — | 2 | 4 | no | — |
| 576 | C2×#41 | — | 2 | 4 | no | — |
| 577 | C2×#41 | — | 2 | 4 | no | — |
| 578 | C2×#41 | — | 2 | 1 | no | — |
| 579 | C2×#41 | — | 2 | 1 | no | — |
| 580 | C2×#41 | — | 2 | 2 | no | — |
| 581 | C2×#41 | — | 2 | 2 | no | — |
| 582 | C2×#41 | — | 2 | 2 | no | — |
| 583 | C2×#41 | — | 2 | 2 | no | — |
| 584 | C2×#41 | — | 2 | 2 | no | — |
| 585 | C2×#41 | — | 2 | 2 | no | — |
| 586 | C2×#41 | — | 2 | 4 | no | — |
| 587 | C2×#41 | — | 2 | 4 | no | — |
| 588 | C2×#41 | — | 2 | 4 | no | — |
| 589 | C2×#41 | — | 4 | 8 | no | — |
| 590 | C2×#41 | — | 8 | 4 | no | — |
| 591 | C2×#41 | C2×D4 | 1 | 2 | yes | — |
| 592 | C2×#41 | C2×D4 | 1 | 2 | yes | — |
| 593 | C2×#41 | C24 | 1 | 2 | yes | — |
| 594 | C2×#41 | C24 | 1 | 4 | yes | — |
| 595 | C2×#41 | C24 | 1 | 4 | yes | — |
| 596 | C2×#41 | C24 | 1 | 8 | yes | — |
| 597 | C2×#41 | C24 | 1 | 8 | yes | — |
| 598 | C2×#41 | C24 | 1 | 2 | yes | — |
| 599 | C22×Q8 | — | 2 | 1 | no | — |
| 600 | C22×Q8 | C24 | 1 | 2 | yes | — |
| 601 | C22×D4 | — | 2 | 2 | no | — |
| 602 | C22×D4 | — | 2 | 2 | no | — |
| 603 | C22×D4 | — | 2 | 8 | no | — |
| 604 | C22×D4 | — | 2 | 8 | no | — |
| 605 | C22×D4 | — | 2 | 8 | no | — |
| 606 | C22×D4 | — | 2 | 8 | no | — |
| 607 | C22×D4 | — | 2 | 8 | no | — |
| 608 | C22×D4 | — | 2 | 4 | no | — |
| 609 | C22×D4 | — | 2 | 4 | no | — |
| 610 | C22×D4 | — | 2 | 4 | no | — |
| 611 | C22×D4 | — | 2 | 4 | no | — |
| 612 | C22×D4 | — | 2 | 4 | no | — |
| 613 | C22×D4 | — | 2 | 1 | no | — |
| 614 | C22×D4 | — | 2 | 2 | no | — |
| 615 | C22×D4 | — | 2 | 2 | no | — |
| 616 | C22×D4 | — | 2 | 1 | no | — |
| 617 | C22×D4 | — | 2 | 1 | no | — |
| 618 | C22×D4 | — | 2 | 4 | no | — |
| 619 | C22×D4 | — | 2 | 1 | no | — |
| 620 | C22×D4 | — | 2 | 2 | no | — |
| 621 | C22×D4 | — | 2 | 2 | no | — |
| 622 | C22×D4 | — | 2 | 2 | no | — |
| 623 | C22×D4 | — | 2 | 2 | no | — |
| 624 | C22×D4 | — | 2 | 2 | no | — |
| 625 | C22×D4 | — | 2 | 2 | no | — |
| 626 | C22×D4 | — | 2 | 2 | no | — |
| 627 | C22×D4 | — | 2 | 2 | no | — |
| 628 | C22×D4 | — | 2 | 2 | no | — |
| 629 | C22×D4 | — | 2 | 2 | no | — |
| 630 | C22×D4 | — | 2 | 2 | no | — |
| 631 | C22×D4 | — | 2 | 2 | no | — |
| 632 | C22×D4 | — | 2 | 2 | no | — |
| 633 | C22×D4 | — | 2 | 4 | no | — |
| 634 | C22×D4 | — | 2 | 4 | no | — |
| 635 | C22×D4 | — | 2 | 4 | no | — |
| 636 | C22×D4 | — | 4 | 8 | no | — |
| 637 | C22×D4 | — | 8 | 4 | no | — |
| 638 | C22×D4 | — | 8 | 4 | no | — |
| 639 | C22×D4 | C24 | 1 | 2 | yes | — |
| 640 | C22×D4 | C24 | 1 | 4 | yes | — |
| 641 | C22×D4 | C24 | 1 | 2 | yes | — |
| 642 | C22×D4 | C24 | 1 | 4 | yes | — |
| 643 | C22×D4 | C24 | 1 | 4 | yes | — |
| 644 | C22×D4 | C24 | 1 | 8 | yes | — |
| 645 | C22×D4 | C24 | 1 | 8 | yes | — |
| 646 | C23×C4 | — | 2 | 2 | no | — |
| 647 | C23×C4 | — | 2 | 2 | no | — |
| 648 | C23×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 649 | C23×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 650 | C23×C4 | C24 | 1 | 1 | yes | characteristic |
| 651 | AGL(1,ℤ/8) | — | 2 | 32 | no | — |
| 652 | AGL(1,ℤ/8) | — | 2 | 16 | no | — |
| 653 | AGL(1,ℤ/8) | — | 4 | 32 | no | — |
| 654 | AGL(1,ℤ/8) | — | 4 | 32 | no | — |
| 655 | AGL(1,ℤ/8) | — | 4 | 32 | no | — |
| 656 | AGL(1,ℤ/8) | — | 4 | 16 | no | — |
| 657 | #135 | — | 4 | 32 | no | — |
| 658 | #135 | — | 4 | 16 | no | — |
| 659 | C2×Q16 | C24 | 1 | 8 | yes | — |
| 660 | C2×SD16 | — | 4 | 16 | no | — |
| 661 | C2×SD16 | C24 | 1 | 16 | yes | — |
| 662 | C2×SD16 | C24 | 1 | 8 | yes | — |
| 663 | C2×SD16 | C24 | 1 | 16 | yes | — |
| 664 | C2×SD16 | C24 | 1 | 8 | yes | — |
| 665 | C2×SD16 | C24 | 1 | 8 | yes | — |
| 666 | C2×D8 | — | 4 | 16 | no | — |
| 667 | C2×D8 | — | 4 | 32 | no | — |
| 668 | C2×D8 | — | 4 | 16 | no | — |
| 669 | C2×D8 | C24 | 1 | 16 | yes | — |
| 670 | C2×D8 | C24 | 1 | 8 | yes | — |
| 671 | C2×D8 | C24 | 1 | 16 | yes | — |
| 672 | C2×D8 | C24 | 1 | 16 | yes | — |
| 673 | C2×D8 | C24 | 1 | 16 | yes | — |
| 674 | C2×D8 | C24 | 1 | 8 | yes | — |
| 675 | #131 | — | 2 | 16 | no | — |
| 676 | C2×M16 | — | 2 | 8 | no | — |
| 677 | C2×M16 | C24 | 1 | 2 | yes | — |
| 678 | C2×M16 | C24 | 1 | 4 | yes | — |
| 679 | C2×M16 | C24 | 1 | 8 | yes | — |
| 680 | C2×M16 | C24 | 1 | 2 | yes | — |
| 681 | C22×C8 | C24 | 1 | 4 | yes | — |
| 682 | C22×C8 | C24 | 1 | 4 | yes | — |
| 683 | C22×C8 | C24 | 1 | 8 | yes | — |
| 684 | C4⋊Q8 | — | 2 | 1 | no | — |
| 685 | C4⋊Q8 | — | 2 | 1 | no | — |
| 686 | C4⋊Q8 | — | 2 | 1 | no | — |
| 687 | C4⋊Q8 | — | 2 | 1 | no | — |
| 688 | C4⋊Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 689 | C4⋊Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 690 | C4⋊Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 691 | C4⋊Q8 | C24 | 1 | 2 | yes | — |
| 692 | C4⋊Q8 | C24 | 1 | 2 | yes | — |
| 693 | C4⋊Q8 | C24 | 1 | 1 | yes | characteristic |
| 694 | C4⋊Q8 | C24 | 1 | 2 | yes | — |
| 695 | C4⋊Q8 | C24 | 1 | 2 | yes | — |
| 696 | C4⋊Q8 | C24 | 1 | 1 | yes | characteristic |
| 697 | C4⋊Q8 | C24 | 1 | 1 | yes | characteristic |
| 698 | #127 | — | 2 | 4 | no | — |
| 699 | #127 | — | 2 | 4 | no | — |
| 700 | #127 | — | 2 | 4 | no | — |
| 701 | #127 | — | 2 | 8 | no | — |
| 702 | #127 | — | 2 | 2 | no | — |
| 703 | #127 | — | 2 | 2 | no | — |
| 704 | #127 | — | 2 | 2 | no | — |
| 705 | #127 | — | 2 | 2 | no | — |
| 706 | #127 | — | 2 | 2 | no | — |
| 707 | #127 | — | 2 | 2 | no | — |
| 708 | #127 | — | 2 | 2 | no | — |
| 709 | #127 | — | 2 | 2 | no | — |
| 710 | #127 | — | 2 | 2 | no | — |
| 711 | #127 | — | 2 | 2 | no | — |
| 712 | #127 | — | 2 | 2 | no | — |
| 713 | #127 | — | 2 | 2 | no | — |
| 714 | #127 | — | 2 | 1 | no | — |
| 715 | #127 | — | 2 | 1 | no | — |
| 716 | #127 | — | 2 | 1 | no | — |
| 717 | #127 | — | 2 | 1 | no | — |
| 718 | #127 | — | 2 | 4 | no | — |
| 719 | #127 | — | 2 | 4 | no | — |
| 720 | #127 | — | 2 | 4 | no | — |
| 721 | #127 | — | 2 | 4 | no | — |
| 722 | #127 | C2×D4 | 1 | 1 | yes | characteristic |
| 723 | #127 | C24 | 1 | 4 | yes | — |
| 724 | #127 | C24 | 1 | 1 | yes | characteristic |
| 725 | #127 | C24 | 1 | 4 | yes | — |
| 726 | #127 | C24 | 1 | 4 | yes | — |
| 727 | #127 | C24 | 1 | 4 | yes | — |
| 728 | #127 | C24 | 1 | 2 | yes | — |
| 729 | #127 | C24 | 1 | 2 | yes | — |
| 730 | #127 | C24 | 1 | 2 | yes | — |
| 731 | #127 | C24 | 1 | 2 | yes | — |
| 732 | #127 | C24 | 1 | 8 | yes | — |
| 733 | #127 | C24 | 1 | 8 | yes | — |
| 734 | #126 | — | 2 | 8 | no | — |
| 735 | #126 | — | 2 | 8 | no | — |
| 736 | #126 | — | 2 | 2 | no | — |
| 737 | #126 | — | 2 | 2 | no | — |
| 738 | #126 | C2×D4 | 1 | 4 | yes | — |
| 739 | #126 | C2×D4 | 1 | 4 | yes | — |
| 740 | #125 | — | 2 | 1 | no | — |
| 741 | #125 | — | 2 | 1 | no | — |
| 742 | #125 | — | 2 | 4 | no | — |
| 743 | #125 | C2×D4 | 1 | 2 | yes | — |
| 744 | #125 | C2×D4 | 1 | 2 | yes | — |
| 745 | #125 | C2×D4 | 1 | 2 | yes | — |
| 746 | #125 | C24 | 1 | 2 | yes | — |
| 747 | #124 | — | 2 | 4 | no | — |
| 748 | #124 | — | 2 | 4 | no | — |
| 749 | #124 | — | 2 | 4 | no | — |
| 750 | #124 | — | 2 | 8 | no | — |
| 751 | #124 | — | 2 | 8 | no | — |
| 752 | #124 | — | 2 | 8 | no | — |
| 753 | #124 | — | 2 | 2 | no | — |
| 754 | #124 | — | 2 | 2 | no | — |
| 755 | #124 | — | 2 | 2 | no | — |
| 756 | #124 | — | 2 | 2 | no | — |
| 757 | #124 | — | 2 | 2 | no | — |
| 758 | #124 | — | 2 | 2 | no | — |
| 759 | #124 | — | 2 | 1 | no | — |
| 760 | #124 | — | 2 | 1 | no | — |
| 761 | #124 | — | 2 | 4 | no | — |
| 762 | #124 | — | 2 | 4 | no | — |
| 763 | #124 | — | 2 | 4 | no | — |
| 764 | #124 | C2×D4 | 1 | 2 | yes | — |
| 765 | #124 | C2×D4 | 1 | 2 | yes | — |
| 766 | #124 | C2×D4 | 1 | 2 | yes | — |
| 767 | #124 | C24 | 1 | 4 | yes | — |
| 768 | #124 | C24 | 1 | 4 | yes | — |
| 769 | #124 | C24 | 1 | 2 | yes | — |
| 770 | #124 | C24 | 1 | 8 | yes | — |
| 771 | #124 | C24 | 1 | 8 | yes | — |
| 772 | #123 | — | 2 | 2 | no | — |
| 773 | #123 | — | 2 | 2 | no | — |
| 774 | #123 | — | 2 | 2 | no | — |
| 775 | #123 | — | 2 | 8 | no | — |
| 776 | #123 | — | 2 | 8 | no | — |
| 777 | #123 | — | 2 | 8 | no | — |
| 778 | #123 | — | 2 | 8 | no | — |
| 779 | #123 | — | 2 | 8 | no | — |
| 780 | #123 | — | 2 | 8 | no | — |
| 781 | #123 | — | 2 | 8 | no | — |
| 782 | #123 | — | 2 | 8 | no | — |
| 783 | #123 | — | 2 | 8 | no | — |
| 784 | #123 | — | 2 | 8 | no | — |
| 785 | #123 | — | 2 | 8 | no | — |
| 786 | #123 | — | 2 | 8 | no | — |
| 787 | #123 | C2×D4 | 1 | 4 | yes | — |
| 788 | #123 | C2×D4 | 1 | 4 | yes | — |
| 789 | #123 | C2×D4 | 1 | 4 | yes | — |
| 790 | C22⋊Q8 | — | 2 | 4 | no | — |
| 791 | C22⋊Q8 | — | 2 | 4 | no | — |
| 792 | C22⋊Q8 | — | 2 | 1 | no | — |
| 793 | C22⋊Q8 | — | 2 | 1 | no | — |
| 794 | C22⋊Q8 | — | 2 | 1 | no | — |
| 795 | C22⋊Q8 | — | 2 | 1 | no | — |
| 796 | C22⋊Q8 | — | 2 | 4 | no | — |
| 797 | C22⋊Q8 | — | 2 | 8 | no | — |
| 798 | C22⋊Q8 | — | 2 | 8 | no | — |
| 799 | C22⋊Q8 | C2×D4 | 1 | 2 | yes | — |
| 800 | C22⋊Q8 | C2×D4 | 1 | 2 | yes | — |
| 801 | C22⋊Q8 | C2×D4 | 1 | 2 | yes | — |
| 802 | C22⋊Q8 | C2×D4 | 1 | 2 | yes | — |
| 803 | C22⋊Q8 | C2×D4 | 1 | 2 | yes | — |
| 804 | C22⋊Q8 | C2×D4 | 1 | 2 | yes | — |
| 805 | C22⋊Q8 | C24 | 1 | 2 | yes | — |
| 806 | C22⋊Q8 | C24 | 1 | 2 | yes | — |
| 807 | C22⋊Q8 | C24 | 1 | 8 | yes | — |
| 808 | #121 | — | 2 | 8 | no | — |
| 809 | #121 | — | 2 | 8 | no | — |
| 810 | #121 | — | 2 | 4 | no | — |
| 811 | #121 | — | 2 | 4 | no | — |
| 812 | #121 | — | 2 | 2 | no | — |
| 813 | #121 | — | 2 | 2 | no | — |
| 814 | #121 | — | 2 | 2 | no | — |
| 815 | #121 | — | 2 | 2 | no | — |
| 816 | #121 | — | 2 | 2 | no | — |
| 817 | #121 | — | 2 | 2 | no | — |
| 818 | #121 | — | 2 | 2 | no | — |
| 819 | #121 | — | 2 | 2 | no | — |
| 820 | #121 | — | 2 | 2 | no | — |
| 821 | #121 | — | 2 | 2 | no | — |
| 822 | #121 | — | 2 | 2 | no | — |
| 823 | #121 | — | 2 | 2 | no | — |
| 824 | #121 | — | 2 | 2 | no | — |
| 825 | #121 | — | 2 | 2 | no | — |
| 826 | #121 | — | 2 | 1 | no | — |
| 827 | #121 | — | 2 | 1 | no | — |
| 828 | #121 | — | 2 | 1 | no | — |
| 829 | #121 | — | 2 | 1 | no | — |
| 830 | #121 | — | 2 | 4 | no | — |
| 831 | #121 | — | 2 | 4 | no | — |
| 832 | #121 | — | 2 | 4 | no | — |
| 833 | #121 | — | 2 | 4 | no | — |
| 834 | #121 | — | 2 | 4 | no | — |
| 835 | #121 | — | 2 | 4 | no | — |
| 836 | #121 | — | 2 | 4 | no | — |
| 837 | #121 | — | 2 | 4 | no | — |
| 838 | #121 | — | 2 | 4 | no | — |
| 839 | #121 | — | 2 | 4 | no | — |
| 840 | #121 | — | 2 | 4 | no | — |
| 841 | #121 | — | 2 | 4 | no | — |
| 842 | #121 | — | 2 | 4 | no | — |
| 843 | #121 | — | 2 | 4 | no | — |
| 844 | #121 | — | 2 | 4 | no | — |
| 845 | #121 | — | 2 | 4 | no | — |
| 846 | #121 | — | 2 | 4 | no | — |
| 847 | #121 | — | 2 | 8 | no | — |
| 848 | #121 | — | 2 | 8 | no | — |
| 849 | #121 | — | 2 | 8 | no | — |
| 850 | #121 | — | 2 | 8 | no | — |
| 851 | #121 | — | 2 | 8 | no | — |
| 852 | #121 | — | 2 | 8 | no | — |
| 853 | #121 | — | 2 | 8 | no | — |
| 854 | #121 | — | 2 | 8 | no | — |
| 855 | #121 | — | 2 | 8 | no | — |
| 856 | #121 | — | 2 | 8 | no | — |
| 857 | #121 | — | 2 | 8 | no | — |
| 858 | #121 | — | 2 | 8 | no | — |
| 859 | #121 | — | 2 | 8 | no | — |
| 860 | #121 | — | 2 | 8 | no | — |
| 861 | #121 | — | 2 | 8 | no | — |
| 862 | #121 | — | 2 | 8 | no | — |
| 863 | #121 | — | 2 | 8 | no | — |
| 864 | #121 | — | 2 | 8 | no | — |
| 865 | #121 | — | 2 | 8 | no | — |
| 866 | #121 | — | 2 | 8 | no | — |
| 867 | #121 | C2×D4 | 1 | 2 | yes | — |
| 868 | #121 | C2×D4 | 1 | 2 | yes | — |
| 869 | #121 | C2×D4 | 1 | 2 | yes | — |
| 870 | #121 | C2×D4 | 1 | 2 | yes | — |
| 871 | #121 | C2×D4 | 1 | 2 | yes | — |
| 872 | #121 | C2×D4 | 1 | 2 | yes | — |
| 873 | #121 | C24 | 1 | 4 | yes | — |
| 874 | #121 | C24 | 1 | 4 | yes | — |
| 875 | #121 | C24 | 1 | 2 | yes | — |
| 876 | #121 | C24 | 1 | 2 | yes | — |
| 877 | #121 | C24 | 1 | 8 | yes | — |
| 878 | #121 | C24 | 1 | 8 | yes | — |
| 879 | #121 | C24 | 1 | 8 | yes | — |
| 880 | #120 | — | 2 | 2 | no | — |
| 881 | #120 | — | 2 | 8 | no | — |
| 882 | #120 | — | 2 | 8 | no | — |
| 883 | #120 | — | 2 | 8 | no | — |
| 884 | #120 | — | 2 | 8 | no | — |
| 885 | #120 | — | 2 | 8 | no | — |
| 886 | #120 | — | 2 | 8 | no | — |
| 887 | #120 | — | 2 | 8 | no | — |
| 888 | #120 | — | 2 | 8 | no | — |
| 889 | #120 | — | 2 | 8 | no | — |
| 890 | #120 | — | 2 | 8 | no | — |
| 891 | #120 | — | 2 | 8 | no | — |
| 892 | #120 | — | 2 | 8 | no | — |
| 893 | #120 | — | 2 | 8 | no | — |
| 894 | #120 | — | 2 | 8 | no | — |
| 895 | #120 | — | 2 | 8 | no | — |
| 896 | #120 | — | 2 | 8 | no | — |
| 897 | #120 | — | 2 | 8 | no | — |
| 898 | #120 | — | 2 | 8 | no | — |
| 899 | #120 | — | 2 | 8 | no | — |
| 900 | #120 | — | 2 | 8 | no | — |
| 901 | #120 | C2×D4 | 1 | 4 | yes | — |
| 902 | C4×Q8 | — | 2 | 1 | no | — |
| 903 | C4×Q8 | — | 2 | 1 | no | — |
| 904 | C4×Q8 | — | 2 | 1 | no | — |
| 905 | C4×Q8 | — | 2 | 1 | no | — |
| 906 | C4×Q8 | — | 2 | 4 | no | — |
| 907 | C4×Q8 | C2×D4 | 1 | 2 | yes | — |
| 908 | C4×Q8 | C2×D4 | 1 | 2 | yes | — |
| 909 | C4×Q8 | C2×D4 | 1 | 2 | yes | — |
| 910 | C4×Q8 | C2×D4 | 1 | 2 | yes | — |
| 911 | C4×Q8 | C24 | 1 | 2 | yes | — |
| 912 | C4×Q8 | C24 | 1 | 2 | yes | — |
| 913 | C4×Q8 | C24 | 1 | 8 | yes | — |
| 914 | C4×Q8 | C24 | 1 | 2 | yes | — |
| 915 | C4×Q8 | C24 | 1 | 2 | yes | — |
| 916 | C4×D4 | — | 2 | 2 | no | — |
| 917 | C4×D4 | — | 2 | 2 | no | — |
| 918 | C4×D4 | — | 2 | 2 | no | — |
| 919 | C4×D4 | — | 2 | 2 | no | — |
| 920 | C4×D4 | — | 2 | 2 | no | — |
| 921 | C4×D4 | — | 2 | 2 | no | — |
| 922 | C4×D4 | — | 2 | 8 | no | — |
| 923 | C4×D4 | — | 2 | 8 | no | — |
| 924 | C4×D4 | — | 2 | 4 | no | — |
| 925 | C4×D4 | — | 2 | 4 | no | — |
| 926 | C4×D4 | — | 2 | 4 | no | — |
| 927 | C4×D4 | — | 2 | 4 | no | — |
| 928 | C4×D4 | — | 2 | 4 | no | — |
| 929 | C4×D4 | — | 2 | 4 | no | — |
| 930 | C4×D4 | — | 2 | 8 | no | — |
| 931 | C4×D4 | — | 2 | 8 | no | — |
| 932 | C4×D4 | — | 2 | 2 | no | — |
| 933 | C4×D4 | — | 2 | 2 | no | — |
| 934 | C4×D4 | — | 2 | 2 | no | — |
| 935 | C4×D4 | — | 2 | 2 | no | — |
| 936 | C4×D4 | — | 2 | 2 | no | — |
| 937 | C4×D4 | — | 2 | 2 | no | — |
| 938 | C4×D4 | — | 2 | 2 | no | — |
| 939 | C4×D4 | — | 2 | 2 | no | — |
| 940 | C4×D4 | — | 2 | 2 | no | — |
| 941 | C4×D4 | — | 2 | 2 | no | — |
| 942 | C4×D4 | — | 2 | 2 | no | — |
| 943 | C4×D4 | — | 2 | 2 | no | — |
| 944 | C4×D4 | — | 2 | 2 | no | — |
| 945 | C4×D4 | — | 2 | 2 | no | — |
| 946 | C4×D4 | — | 2 | 1 | no | — |
| 947 | C4×D4 | — | 2 | 1 | no | — |
| 948 | C4×D4 | — | 2 | 1 | no | — |
| 949 | C4×D4 | — | 2 | 1 | no | — |
| 950 | C4×D4 | — | 2 | 4 | no | — |
| 951 | C4×D4 | — | 2 | 4 | no | — |
| 952 | C4×D4 | — | 2 | 4 | no | — |
| 953 | C4×D4 | — | 2 | 4 | no | — |
| 954 | C4×D4 | — | 2 | 4 | no | — |
| 955 | C4×D4 | — | 2 | 4 | no | — |
| 956 | C4×D4 | — | 2 | 4 | no | — |
| 957 | C4×D4 | C2×D4 | 1 | 4 | yes | — |
| 958 | C4×D4 | C2×D4 | 1 | 4 | yes | — |
| 959 | C4×D4 | C2×D4 | 1 | 4 | yes | — |
| 960 | C4×D4 | C2×D4 | 1 | 4 | yes | — |
| 961 | C4×D4 | C2×D4 | 1 | 2 | yes | — |
| 962 | C4×D4 | C2×D4 | 1 | 2 | yes | — |
| 963 | C4×D4 | C2×D4 | 1 | 2 | yes | — |
| 964 | C4×D4 | C2×D4 | 1 | 2 | yes | — |
| 965 | C4×D4 | C24 | 1 | 4 | yes | — |
| 966 | C4×D4 | C24 | 1 | 4 | yes | — |
| 967 | C4×D4 | C24 | 1 | 2 | yes | — |
| 968 | C4×D4 | C24 | 1 | 2 | yes | — |
| 969 | C4×D4 | C24 | 1 | 8 | yes | — |
| 970 | C4×D4 | C24 | 1 | 8 | yes | — |
| 971 | C4×D4 | C24 | 1 | 8 | yes | — |
| 972 | C4×D4 | C24 | 1 | 4 | yes | — |
| 973 | C4×D4 | C24 | 1 | 4 | yes | — |
| 974 | C4×D4 | C24 | 1 | 2 | yes | — |
| 975 | C4×D4 | C24 | 1 | 2 | yes | — |
| 976 | #117 | — | 2 | 1 | no | — |
| 977 | #117 | — | 2 | 1 | no | — |
| 978 | #117 | — | 2 | 4 | no | — |
| 979 | #117 | — | 2 | 4 | no | — |
| 980 | #117 | — | 2 | 4 | no | — |
| 981 | #117 | — | 2 | 2 | no | — |
| 982 | #117 | — | 2 | 2 | no | — |
| 983 | #117 | — | 2 | 2 | no | — |
| 984 | #117 | C2×D4 | 1 | 2 | yes | — |
| 985 | #117 | C2×D4 | 1 | 2 | yes | — |
| 986 | #117 | C2×D4 | 1 | 4 | yes | — |
| 987 | #117 | C2×D4 | 1 | 4 | yes | — |
| 988 | #117 | C24 | 1 | 2 | yes | — |
| 989 | #117 | C24 | 1 | 2 | yes | — |
| 990 | #117 | C24 | 1 | 4 | yes | — |
| 991 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 992 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 993 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 994 | C2×C4⋊C4 | — | 2 | 4 | no | — |
| 995 | C2×C4⋊C4 | — | 2 | 4 | no | — |
| 996 | C2×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 997 | C2×C22⋊C4 | — | 2 | 2 | no | — |
| 998 | C2×C22⋊C4 | — | 2 | 2 | no | — |
| 999 | C2×C22⋊C4 | — | 2 | 2 | no | — |
| 1000 | C2×C22⋊C4 | — | 2 | 2 | no | — |
| 1001 | C2×C22⋊C4 | — | 2 | 8 | no | — |
| 1002 | C2×C22⋊C4 | — | 2 | 8 | no | — |
| 1003 | C2×C22⋊C4 | — | 2 | 8 | no | — |
| 1004 | C2×C22⋊C4 | — | 2 | 8 | no | — |
| 1005 | C2×C22⋊C4 | — | 2 | 8 | no | — |
| 1006 | C2×C42 | — | 2 | 2 | no | — |
| 1007 | C2×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 1008 | C2×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 1009 | C2×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 1010 | C2×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 1011 | C2×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 1012 | C2×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 1013 | C2×C42 | C24 | 1 | 1 | yes | characteristic |
| 1014 | C2×C42 | C24 | 1 | 4 | yes | — |
| 1015 | C2×C42 | C24 | 1 | 1 | yes | characteristic |
| 1016 | C2×C42 | C24 | 1 | 1 | yes | characteristic |
| 1017 | C2×C42 | C24 | 1 | 1 | yes | characteristic |
| 1018 | C2×C42 | C24 | 1 | 1 | yes | characteristic |
| 1019 | C2×C42 | C24 | 1 | 1 | yes | characteristic |
| 1020 | #107 | C24 | 1 | 8 | yes | — |
| 1021 | #106 | C24 | 1 | 8 | yes | — |
| 1022 | C4⋊C8 | C24 | 1 | 2 | yes | — |
| 1023 | C4⋊C8 | C24 | 1 | 4 | yes | — |
| 1024 | C4⋊C8 | C24 | 1 | 2 | yes | — |
| 1025 | C4⋊C8 | C24 | 1 | 8 | yes | — |
| 1026 | C4⋊C8 | C24 | 1 | 8 | yes | — |
| 1027 | #103 | C24 | 1 | 8 | yes | — |
| 1028 | #103 | C24 | 1 | 8 | yes | — |
| 1029 | #103 | C24 | 1 | 8 | yes | — |
| 1030 | #102 | C24 | 1 | 16 | yes | — |
| 1031 | #102 | C24 | 1 | 16 | yes | — |
| 1032 | #102 | C24 | 1 | 8 | yes | — |
| 1033 | #102 | C24 | 1 | 8 | yes | — |
| 1034 | #102 | C24 | 1 | 8 | yes | — |
| 1035 | #102 | C24 | 1 | 8 | yes | — |
| 1036 | #102 | C24 | 1 | 8 | yes | — |
| 1037 | C22⋊C8 | C24 | 1 | 2 | yes | — |
| 1038 | C22⋊C8 | C24 | 1 | 2 | yes | — |
| 1039 | C22⋊C8 | C24 | 1 | 4 | yes | — |
| 1040 | C22⋊C8 | C24 | 1 | 8 | yes | — |
| 1041 | C22⋊C8 | C24 | 1 | 8 | yes | — |
| 1042 | #97 | C24 | 1 | 2 | yes | — |
| 1043 | #97 | C24 | 1 | 2 | yes | — |
| 1044 | #97 | C24 | 1 | 4 | yes | — |
| 1045 | #97 | C24 | 1 | 8 | yes | — |
| 1046 | C4×C8 | C24 | 1 | 2 | yes | — |
| 1047 | C4×C8 | C24 | 1 | 2 | yes | — |
| 1048 | C4×C8 | C24 | 1 | 2 | yes | — |
| 1049 | C4×C8 | C24 | 1 | 4 | yes | — |
| 1050 | C4×C8 | C24 | 1 | 2 | yes | — |
| 1051 | C4×C8 | C24 | 1 | 4 | yes | — |
| 1052 | C4×C8 | C24 | 1 | 8 | yes | — |
| 1053 | C24 | — | 2 | 2 | no | — |
| 1054 | C24 | — | 2 | 2 | no | — |
| 1055 | C24 | — | 2 | 4 | no | — |
| 1056 | C24 | — | 2 | 4 | no | — |
| 1057 | C24 | — | 2 | 4 | no | — |
| 1058 | C24 | — | 2 | 8 | no | — |
| 1059 | C24 | — | 2 | 8 | no | — |
| 1060 | C24 | — | 8 | 4 | no | — |
| 1061 | C24 | — | 8 | 4 | no | — |
| 1062 | C24 | — | 8 | 4 | no | — |
| 1063 | C24 | C22×D4 | 1 | 1 | yes | characteristic |
| 1064 | #41 | — | 2 | 8 | no | — |
| 1065 | #41 | — | 2 | 8 | no | — |
| 1066 | #41 | — | 2 | 8 | no | — |
| 1067 | #41 | — | 2 | 16 | no | — |
| 1068 | #41 | — | 4 | 4 | no | — |
| 1069 | #41 | — | 4 | 4 | no | — |
| 1070 | #41 | — | 4 | 16 | no | — |
| 1071 | #41 | — | 4 | 16 | no | — |
| 1072 | #41 | — | 4 | 8 | no | — |
| 1073 | #41 | — | 4 | 8 | no | — |
| 1074 | #41 | — | 4 | 4 | no | — |
| 1075 | #41 | — | 8 | 4 | no | — |
| 1076 | #41 | — | 8 | 4 | no | — |
| 1077 | #41 | — | 8 | 4 | no | — |
| 1078 | #41 | — | 8 | 4 | no | — |
| 1079 | #41 | — | 8 | 4 | no | — |
| 1080 | #41 | — | 8 | 8 | no | — |
| 1081 | #41 | — | 8 | 8 | no | — |
| 1082 | #41 | — | 8 | 8 | no | — |
| 1083 | #41 | — | 8 | 8 | no | — |
| 1084 | #41 | — | 8 | 8 | no | — |
| 1085 | #41 | — | 8 | 8 | no | — |
| 1086 | #41 | — | 8 | 8 | no | — |
| 1087 | #41 | — | 8 | 8 | no | — |
| 1088 | C2×Q8 | — | 2 | 1 | no | — |
| 1089 | C2×Q8 | — | 2 | 1 | no | — |
| 1090 | C2×Q8 | — | 2 | 2 | no | — |
| 1091 | C2×Q8 | — | 2 | 2 | no | — |
| 1092 | C2×Q8 | — | 2 | 2 | no | — |
| 1093 | C2×Q8 | — | 4 | 4 | no | — |
| 1094 | C2×Q8 | — | 8 | 2 | no | — |
| 1095 | C2×Q8 | C22×D4 | 1 | 2 | yes | — |
| 1096 | C2×Q8 | C22×D4 | 1 | 2 | yes | — |
| 1097 | C2×Q8 | C22×D4 | 1 | 2 | yes | — |
| 1098 | C2×Q8 | C25 | 1 | 2 | yes | — |
| 1099 | C2×Q8 | C25 | 1 | 4 | yes | — |
| 1100 | C2×D4 | — | 2 | 2 | no | — |
| 1101 | C2×D4 | — | 2 | 2 | no | — |
| 1102 | C2×D4 | — | 2 | 2 | no | — |
| 1103 | C2×D4 | — | 2 | 4 | no | — |
| 1104 | C2×D4 | — | 2 | 4 | no | — |
| 1105 | C2×D4 | — | 2 | 8 | no | — |
| 1106 | C2×D4 | — | 2 | 8 | no | — |
| 1107 | C2×D4 | — | 2 | 8 | no | — |
| 1108 | C2×D4 | — | 2 | 8 | no | — |
| 1109 | C2×D4 | — | 2 | 8 | no | — |
| 1110 | C2×D4 | — | 2 | 4 | no | — |
| 1111 | C2×D4 | — | 2 | 4 | no | — |
| 1112 | C2×D4 | — | 2 | 2 | no | — |
| 1113 | C2×D4 | — | 2 | 2 | no | — |
| 1114 | C2×D4 | — | 2 | 2 | no | — |
| 1115 | C2×D4 | — | 2 | 2 | no | — |
| 1116 | C2×D4 | — | 2 | 2 | no | — |
| 1117 | C2×D4 | — | 2 | 2 | no | — |
| 1118 | C2×D4 | — | 2 | 4 | no | — |
| 1119 | C2×D4 | — | 2 | 4 | no | — |
| 1120 | C2×D4 | — | 2 | 4 | no | — |
| 1121 | C2×D4 | — | 2 | 1 | no | — |
| 1122 | C2×D4 | — | 2 | 4 | no | — |
| 1123 | C2×D4 | — | 2 | 4 | no | — |
| 1124 | C2×D4 | — | 2 | 1 | no | — |
| 1125 | C2×D4 | — | 2 | 2 | no | — |
| 1126 | C2×D4 | — | 2 | 2 | no | — |
| 1127 | C2×D4 | — | 2 | 8 | no | — |
| 1128 | C2×D4 | — | 2 | 8 | no | — |
| 1129 | C2×D4 | — | 2 | 8 | no | — |
| 1130 | C2×D4 | — | 2 | 8 | no | — |
| 1131 | C2×D4 | — | 2 | 2 | no | — |
| 1132 | C2×D4 | — | 2 | 2 | no | — |
| 1133 | C2×D4 | — | 2 | 8 | no | — |
| 1134 | C2×D4 | — | 2 | 8 | no | — |
| 1135 | C2×D4 | — | 2 | 4 | no | — |
| 1136 | C2×D4 | — | 2 | 4 | no | — |
| 1137 | C2×D4 | — | 2 | 4 | no | — |
| 1138 | C2×D4 | — | 2 | 4 | no | — |
| 1139 | C2×D4 | — | 2 | 4 | no | — |
| 1140 | C2×D4 | — | 2 | 4 | no | — |
| 1141 | C2×D4 | — | 2 | 8 | no | — |
| 1142 | C2×D4 | — | 2 | 16 | no | — |
| 1143 | C2×D4 | — | 4 | 4 | no | — |
| 1144 | C2×D4 | — | 4 | 8 | no | — |
| 1145 | C2×D4 | — | 4 | 16 | no | — |
| 1146 | C2×D4 | — | 4 | 16 | no | — |
| 1147 | C2×D4 | — | 4 | 8 | no | — |
| 1148 | C2×D4 | — | 4 | 8 | no | — |
| 1149 | C2×D4 | — | 4 | 8 | no | — |
| 1150 | C2×D4 | — | 4 | 4 | no | — |
| 1151 | C2×D4 | — | 8 | 2 | no | — |
| 1152 | C2×D4 | — | 8 | 2 | no | — |
| 1153 | C2×D4 | — | 8 | 8 | no | — |
| 1154 | C2×D4 | — | 8 | 4 | no | — |
| 1155 | C2×D4 | — | 8 | 4 | no | — |
| 1156 | C2×D4 | — | 8 | 4 | no | — |
| 1157 | C2×D4 | — | 8 | 4 | no | — |
| 1158 | C2×D4 | — | 8 | 4 | no | — |
| 1159 | C2×D4 | — | 8 | 4 | no | — |
| 1160 | C2×D4 | — | 8 | 4 | no | — |
| 1161 | C2×D4 | — | 8 | 4 | no | — |
| 1162 | C2×D4 | — | 8 | 2 | no | — |
| 1163 | C2×D4 | — | 8 | 8 | no | — |
| 1164 | C2×D4 | — | 8 | 8 | no | — |
| 1165 | C2×D4 | — | 8 | 8 | no | — |
| 1166 | C2×D4 | — | 8 | 4 | no | — |
| 1167 | C2×D4 | — | 8 | 4 | no | — |
| 1168 | C2×D4 | — | 8 | 8 | no | — |
| 1169 | C2×D4 | — | 8 | 8 | no | — |
| 1170 | C2×D4 | — | 8 | 8 | no | — |
| 1171 | C2×D4 | — | 8 | 8 | no | — |
| 1172 | C2×D4 | — | 8 | 4 | no | — |
| 1173 | C2×D4 | — | 8 | 4 | no | — |
| 1174 | C2×D4 | — | 8 | 8 | no | — |
| 1175 | C2×D4 | — | 8 | 4 | no | — |
| 1176 | C2×D4 | — | 8 | 16 | no | — |
| 1177 | C2×D4 | — | 8 | 16 | no | — |
| 1178 | C2×D4 | — | 8 | 16 | no | — |
| 1179 | C2×D4 | — | 8 | 16 | no | — |
| 1180 | C2×D4 | — | 8 | 4 | no | — |
| 1181 | C2×D4 | — | 8 | 4 | no | — |
| 1182 | C2×D4 | — | 8 | 16 | no | — |
| 1183 | C2×D4 | C22×D4 | 1 | 4 | yes | — |
| 1184 | C2×D4 | C22×D4 | 1 | 2 | yes | — |
| 1185 | C2×D4 | C22×D4 | 1 | 4 | yes | — |
| 1186 | C2×D4 | C22×D4 | 1 | 2 | yes | — |
| 1187 | C2×D4 | C22×D4 | 1 | 4 | yes | — |
| 1188 | C2×D4 | C22×D4 | 1 | 2 | yes | — |
| 1189 | C2×D4 | C25 | 1 | 4 | yes | — |
| 1190 | C2×D4 | C25 | 1 | 4 | yes | — |
| 1191 | C2×D4 | C25 | 1 | 2 | yes | — |
| 1192 | C2×D4 | C25 | 1 | 8 | yes | — |
| 1193 | C22×C4 | — | 2 | 4 | no | — |
| 1194 | C22×C4 | — | 2 | 4 | no | — |
| 1195 | C22×C4 | — | 2 | 2 | no | — |
| 1196 | C22×C4 | — | 2 | 2 | no | — |
| 1197 | C22×C4 | — | 2 | 2 | no | — |
| 1198 | C22×C4 | — | 2 | 2 | no | — |
| 1199 | C22×C4 | — | 2 | 2 | no | — |
| 1200 | C22×C4 | — | 2 | 4 | no | — |
| 1201 | C22×C4 | — | 2 | 4 | no | — |
| 1202 | C22×C4 | — | 2 | 4 | no | — |
| 1203 | C22×C4 | — | 2 | 4 | no | — |
| 1204 | C22×C4 | — | 2 | 8 | no | — |
| 1205 | C22×C4 | — | 2 | 8 | no | — |
| 1206 | C22×C4 | — | 2 | 8 | no | — |
| 1207 | C22×C4 | — | 2 | 8 | no | — |
| 1208 | C22×C4 | — | 2 | 8 | no | — |
| 1209 | C22×C4 | — | 4 | 2 | no | — |
| 1210 | C22×C4 | — | 8 | 4 | no | — |
| 1211 | C22×C4 | — | 8 | 4 | no | — |
| 1212 | C22×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1213 | C22×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1214 | C22×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1215 | C22×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1216 | C22×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1217 | C22×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1218 | C22×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1219 | C22×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1220 | C22×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1221 | C22×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1222 | C22×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1223 | C22×C4 | C22×D4 | 1 | 4 | yes | — |
| 1224 | C22×C4 | C22×D4 | 1 | 4 | yes | — |
| 1225 | C22×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1226 | C22×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1227 | C22×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1228 | C22×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1229 | C22×C4 | C25 | 1 | 1 | yes | characteristic |
| 1230 | C22×C4 | C25 | 1 | 1 | yes | characteristic |
| 1231 | C22×C4 | C25 | 1 | 4 | yes | — |
| 1232 | C22×C4 | C25 | 1 | 1 | yes | characteristic |
| 1233 | Q16 | — | 4 | 8 | no | — |
| 1234 | SD16 | — | 2 | 32 | no | — |
| 1235 | SD16 | — | 2 | 16 | no | — |
| 1236 | SD16 | — | 4 | 16 | no | — |
| 1237 | SD16 | — | 4 | 8 | no | — |
| 1238 | SD16 | — | 4 | 8 | no | — |
| 1239 | D8 | — | 2 | 32 | no | — |
| 1240 | D8 | — | 2 | 16 | no | — |
| 1241 | D8 | — | 4 | 8 | no | — |
| 1242 | D8 | — | 4 | 16 | no | — |
| 1243 | D8 | — | 4 | 16 | no | — |
| 1244 | D8 | — | 4 | 16 | no | — |
| 1245 | M16 | — | 2 | 4 | no | — |
| 1246 | M16 | — | 2 | 8 | no | — |
| 1247 | M16 | — | 2 | 16 | no | — |
| 1248 | M16 | H(5,𝔽2) | 1 | 8 | yes | complemented |
| 1249 | C2×C8 | — | 2 | 8 | no | — |
| 1250 | C2×C8 | — | 2 | 8 | no | — |
| 1251 | C2×C8 | — | 2 | 16 | no | — |
| 1252 | C2×C8 | C25 | 1 | 4 | yes | — |
| 1253 | C2×C8 | C25 | 1 | 4 | yes | — |
| 1254 | C2×C8 | C25 | 1 | 4 | yes | — |
| 1255 | C2×C8 | C25 | 1 | 4 | yes | — |
| 1256 | C4⋊C4 | — | 2 | 2 | no | — |
| 1257 | C4⋊C4 | — | 2 | 2 | no | — |
| 1258 | C4⋊C4 | — | 2 | 2 | no | — |
| 1259 | C4⋊C4 | — | 2 | 2 | no | — |
| 1260 | C4⋊C4 | — | 2 | 2 | no | — |
| 1261 | C4⋊C4 | — | 2 | 2 | no | — |
| 1262 | C4⋊C4 | — | 2 | 2 | no | — |
| 1263 | C4⋊C4 | — | 2 | 8 | no | — |
| 1264 | C4⋊C4 | — | 2 | 8 | no | — |
| 1265 | C4⋊C4 | — | 2 | 1 | no | — |
| 1266 | C4⋊C4 | — | 2 | 1 | no | — |
| 1267 | C4⋊C4 | — | 2 | 1 | no | — |
| 1268 | C4⋊C4 | — | 2 | 1 | no | — |
| 1269 | C4⋊C4 | — | 2 | 2 | no | — |
| 1270 | C4⋊C4 | — | 2 | 2 | no | — |
| 1271 | C4⋊C4 | — | 2 | 2 | no | — |
| 1272 | C4⋊C4 | — | 2 | 2 | no | — |
| 1273 | C4⋊C4 | — | 2 | 2 | no | — |
| 1274 | C4⋊C4 | — | 2 | 2 | no | — |
| 1275 | C4⋊C4 | C22×D4 | 1 | 2 | yes | — |
| 1276 | C4⋊C4 | C22×D4 | 1 | 2 | yes | — |
| 1277 | C4⋊C4 | C22×D4 | 1 | 2 | yes | — |
| 1278 | C4⋊C4 | C22×D4 | 1 | 2 | yes | — |
| 1279 | C4⋊C4 | C22×D4 | 1 | 2 | yes | — |
| 1280 | C4⋊C4 | C22×D4 | 1 | 4 | yes | — |
| 1281 | C4⋊C4 | C22×D4 | 1 | 2 | yes | — |
| 1282 | C4⋊C4 | C22×D4 | 1 | 4 | yes | — |
| 1283 | C4⋊C4 | C22×D4 | 1 | 4 | yes | — |
| 1284 | C4⋊C4 | C22×D4 | 1 | 4 | yes | — |
| 1285 | C4⋊C4 | C22×D4 | 1 | 4 | yes | — |
| 1286 | C4⋊C4 | C22×D4 | 1 | 4 | yes | — |
| 1287 | C4⋊C4 | C25 | 1 | 4 | yes | — |
| 1288 | C4⋊C4 | C25 | 1 | 2 | yes | — |
| 1289 | C4⋊C4 | C25 | 1 | 2 | yes | — |
| 1290 | C22⋊C4 | — | 2 | 2 | no | — |
| 1291 | C22⋊C4 | — | 2 | 2 | no | — |
| 1292 | C22⋊C4 | — | 2 | 2 | no | — |
| 1293 | C22⋊C4 | — | 2 | 8 | no | — |
| 1294 | C22⋊C4 | — | 2 | 4 | no | — |
| 1295 | C22⋊C4 | — | 2 | 4 | no | — |
| 1296 | C22⋊C4 | — | 2 | 8 | no | — |
| 1297 | C22⋊C4 | — | 2 | 8 | no | — |
| 1298 | C22⋊C4 | — | 2 | 8 | no | — |
| 1299 | C22⋊C4 | — | 2 | 8 | no | — |
| 1300 | C22⋊C4 | — | 2 | 8 | no | — |
| 1301 | C22⋊C4 | — | 2 | 8 | no | — |
| 1302 | C22⋊C4 | — | 2 | 4 | no | — |
| 1303 | C22⋊C4 | — | 2 | 4 | no | — |
| 1304 | C22⋊C4 | — | 2 | 4 | no | — |
| 1305 | C22⋊C4 | — | 2 | 4 | no | — |
| 1306 | C22⋊C4 | — | 2 | 8 | no | — |
| 1307 | C22⋊C4 | — | 2 | 8 | no | — |
| 1308 | C22⋊C4 | — | 2 | 4 | no | — |
| 1309 | C22⋊C4 | — | 2 | 4 | no | — |
| 1310 | C22⋊C4 | — | 2 | 2 | no | — |
| 1311 | C22⋊C4 | — | 2 | 2 | no | — |
| 1312 | C22⋊C4 | — | 2 | 2 | no | — |
| 1313 | C22⋊C4 | — | 2 | 2 | no | — |
| 1314 | C22⋊C4 | — | 2 | 8 | no | — |
| 1315 | C22⋊C4 | — | 2 | 2 | no | — |
| 1316 | C22⋊C4 | — | 2 | 2 | no | — |
| 1317 | C22⋊C4 | — | 2 | 8 | no | — |
| 1318 | C22⋊C4 | C22×D4 | 1 | 4 | yes | — |
| 1319 | C22⋊C4 | C22×D4 | 1 | 4 | yes | — |
| 1320 | C22⋊C4 | C22×D4 | 1 | 4 | yes | — |
| 1321 | C22⋊C4 | C22×D4 | 1 | 4 | yes | — |
| 1322 | C22⋊C4 | C22×D4 | 1 | 4 | yes | — |
| 1323 | C22⋊C4 | C22×D4 | 1 | 4 | yes | — |
| 1324 | C22⋊C4 | C22×D4 | 1 | 4 | yes | — |
| 1325 | C22⋊C4 | C22×D4 | 1 | 4 | yes | — |
| 1326 | C22⋊C4 | C22×D4 | 1 | 4 | yes | — |
| 1327 | C42 | — | 2 | 2 | no | — |
| 1328 | C42 | — | 2 | 2 | no | — |
| 1329 | C42 | — | 2 | 2 | no | — |
| 1330 | C42 | — | 2 | 8 | no | — |
| 1331 | C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 1332 | C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 1333 | C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 1334 | C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 1335 | C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 1336 | C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 1337 | C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 1338 | C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 1339 | C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 1340 | C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 1341 | C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 1342 | C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 1343 | C42 | C22×D4 | 1 | 4 | yes | — |
| 1344 | C42 | C22×D4 | 1 | 4 | yes | — |
| 1345 | C42 | C25 | 1 | 1 | yes | characteristic |
| 1346 | C42 | C25 | 1 | 1 | yes | characteristic |
| 1347 | C42 | C25 | 1 | 1 | yes | characteristic |
| 1348 | C42 | C25 | 1 | 4 | yes | — |
| 1349 | C42 | C25 | 1 | 1 | yes | characteristic |
| 1350 | C23 | — | 2 | 2 | no | — |
| 1351 | C23 | — | 2 | 2 | no | — |
| 1352 | C23 | — | 2 | 4 | no | — |
| 1353 | C23 | — | 2 | 4 | no | — |
| 1354 | C23 | — | 2 | 2 | no | — |
| 1355 | C23 | — | 2 | 8 | no | — |
| 1356 | C23 | — | 4 | 1 | no | — |
| 1357 | C23 | — | 4 | 8 | no | — |
| 1358 | C23 | — | 4 | 4 | no | — |
| 1359 | C23 | — | 4 | 8 | no | — |
| 1360 | C23 | — | 4 | 4 | no | — |
| 1361 | C23 | — | 4 | 8 | no | — |
| 1362 | C23 | — | 8 | 2 | no | — |
| 1363 | C23 | — | 8 | 2 | no | — |
| 1364 | C23 | — | 8 | 4 | no | — |
| 1365 | C23 | — | 8 | 4 | no | — |
| 1366 | C23 | — | 8 | 4 | no | — |
| 1367 | C23 | — | 8 | 4 | no | — |
| 1368 | C23 | — | 8 | 4 | no | — |
| 1369 | C23 | — | 8 | 4 | no | — |
| 1370 | C23 | — | 8 | 2 | no | — |
| 1371 | C23 | — | 8 | 2 | no | — |
| 1372 | C23 | — | 8 | 8 | no | — |
| 1373 | C23 | — | 8 | 8 | no | — |
| 1374 | C23 | — | 8 | 8 | no | — |
| 1375 | C23 | — | 8 | 8 | no | — |
| 1376 | C23 | — | 8 | 8 | no | — |
| 1377 | C23 | — | 8 | 8 | no | — |
| 1378 | C23 | — | 16 | 16 | no | — |
| 1379 | C23 | C23×D4 | 1 | 4 | yes | — |
| 1380 | C23 | C23×D4 | 1 | 1 | yes | characteristic |
| 1381 | C23 | C23×D4 | 1 | 1 | yes | characteristic |
| 1382 | C23 | C23×D4 | 1 | 1 | yes | characteristic |
| 1383 | Q8 | — | 2 | 4 | no | — |
| 1384 | Q8 | — | 2 | 4 | no | — |
| 1385 | Q8 | — | 2 | 8 | no | — |
| 1386 | Q8 | — | 2 | 4 | no | — |
| 1387 | Q8 | — | 4 | 2 | no | — |
| 1388 | Q8 | — | 4 | 2 | no | — |
| 1389 | Q8 | — | 4 | 4 | no | — |
| 1390 | Q8 | — | 4 | 2 | no | — |
| 1391 | Q8 | — | 8 | 2 | no | — |
| 1392 | Q8 | — | 8 | 2 | no | — |
| 1393 | D4 | — | 2 | 8 | no | — |
| 1394 | D4 | — | 2 | 8 | no | — |
| 1395 | D4 | — | 2 | 8 | no | — |
| 1396 | D4 | — | 2 | 4 | no | — |
| 1397 | D4 | — | 2 | 8 | no | — |
| 1398 | D4 | — | 2 | 16 | no | — |
| 1399 | D4 | — | 2 | 4 | no | — |
| 1400 | D4 | — | 2 | 4 | no | — |
| 1401 | D4 | — | 4 | 2 | no | — |
| 1402 | D4 | — | 4 | 4 | no | — |
| 1403 | D4 | — | 4 | 8 | no | — |
| 1404 | D4 | — | 4 | 4 | no | — |
| 1405 | D4 | — | 4 | 4 | no | — |
| 1406 | D4 | — | 4 | 8 | no | — |
| 1407 | D4 | — | 4 | 4 | no | — |
| 1408 | D4 | — | 4 | 8 | no | — |
| 1409 | D4 | — | 4 | 8 | no | — |
| 1410 | D4 | — | 4 | 4 | no | — |
| 1411 | D4 | — | 4 | 4 | no | — |
| 1412 | D4 | — | 4 | 2 | no | — |
| 1413 | D4 | — | 4 | 8 | no | — |
| 1414 | D4 | — | 4 | 4 | no | — |
| 1415 | D4 | — | 4 | 8 | no | — |
| 1416 | D4 | — | 4 | 8 | no | — |
| 1417 | D4 | — | 4 | 4 | no | — |
| 1418 | D4 | — | 4 | 4 | no | — |
| 1419 | D4 | — | 4 | 2 | no | — |
| 1420 | D4 | — | 4 | 4 | no | — |
| 1421 | D4 | — | 8 | 4 | no | — |
| 1422 | D4 | — | 8 | 4 | no | — |
| 1423 | D4 | — | 8 | 8 | no | — |
| 1424 | D4 | — | 8 | 8 | no | — |
| 1425 | D4 | — | 8 | 2 | no | — |
| 1426 | D4 | — | 8 | 2 | no | — |
| 1427 | D4 | — | 8 | 2 | no | — |
| 1428 | D4 | — | 8 | 8 | no | — |
| 1429 | D4 | — | 8 | 4 | no | — |
| 1430 | D4 | — | 8 | 4 | no | — |
| 1431 | D4 | — | 8 | 4 | no | — |
| 1432 | D4 | — | 8 | 4 | no | — |
| 1433 | D4 | — | 8 | 8 | no | — |
| 1434 | D4 | — | 8 | 8 | no | — |
| 1435 | D4 | — | 8 | 8 | no | — |
| 1436 | D4 | — | 8 | 2 | no | — |
| 1437 | D4 | — | 8 | 8 | no | — |
| 1438 | D4 | — | 8 | 8 | no | — |
| 1439 | D4 | — | 8 | 8 | no | — |
| 1440 | D4 | — | 8 | 8 | no | — |
| 1441 | D4 | — | 8 | 8 | no | — |
| 1442 | D4 | — | 8 | 4 | no | — |
| 1443 | D4 | — | 8 | 4 | no | — |
| 1444 | C2×C4 | — | 2 | 2 | no | — |
| 1445 | C2×C4 | — | 2 | 2 | no | — |
| 1446 | C2×C4 | — | 2 | 2 | no | — |
| 1447 | C2×C4 | — | 2 | 2 | no | — |
| 1448 | C2×C4 | — | 2 | 2 | no | — |
| 1449 | C2×C4 | — | 2 | 8 | no | — |
| 1450 | C2×C4 | — | 2 | 2 | no | — |
| 1451 | C2×C4 | — | 2 | 8 | no | — |
| 1452 | C2×C4 | — | 2 | 2 | no | — |
| 1453 | C2×C4 | — | 2 | 2 | no | — |
| 1454 | C2×C4 | — | 2 | 2 | no | — |
| 1455 | C2×C4 | — | 2 | 2 | no | — |
| 1456 | C2×C4 | — | 2 | 2 | no | — |
| 1457 | C2×C4 | — | 2 | 2 | no | — |
| 1458 | C2×C4 | — | 2 | 2 | no | — |
| 1459 | C2×C4 | — | 2 | 8 | no | — |
| 1460 | C2×C4 | — | 2 | 2 | no | — |
| 1461 | C2×C4 | — | 2 | 2 | no | — |
| 1462 | C2×C4 | — | 2 | 2 | no | — |
| 1463 | C2×C4 | — | 2 | 4 | no | — |
| 1464 | C2×C4 | — | 2 | 4 | no | — |
| 1465 | C2×C4 | — | 4 | 1 | no | — |
| 1466 | C2×C4 | — | 4 | 1 | no | — |
| 1467 | C2×C4 | — | 4 | 1 | no | — |
| 1468 | C2×C4 | — | 4 | 4 | no | — |
| 1469 | C2×C4 | — | 4 | 8 | no | — |
| 1470 | C2×C4 | — | 4 | 4 | no | — |
| 1471 | C2×C4 | — | 4 | 8 | no | — |
| 1472 | C2×C4 | — | 4 | 4 | no | — |
| 1473 | C2×C4 | — | 8 | 4 | no | — |
| 1474 | C2×C4 | — | 8 | 4 | no | — |
| 1475 | C2×C4 | — | 8 | 8 | no | — |
| 1476 | C2×C4 | — | 8 | 8 | no | — |
| 1477 | C2×C4 | — | 8 | 8 | no | — |
| 1478 | C2×C4 | — | 8 | 8 | no | — |
| 1479 | C2×C4 | — | 8 | 8 | no | — |
| 1480 | C2×C4 | — | 8 | 2 | no | — |
| 1481 | C2×C4 | — | 8 | 2 | no | — |
| 1482 | C2×C4 | #576 | 1 | 4 | yes | complemented |
| 1483 | C2×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 1484 | C2×C4 | C23×D4 | 1 | 4 | yes | — |
| 1485 | C2×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 1486 | C2×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 1487 | C2×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 1488 | C2×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 1489 | C2×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 1490 | C2×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 1491 | C2×C4 | C23×D4 | 1 | 4 | yes | — |
| 1492 | C2×C4 | C23×D4 | 1 | 4 | yes | — |
| 1493 | C2×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 1494 | C2×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 1495 | C2×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 1496 | C2×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 1497 | C2×C4 | C2×H(5,𝔽2) | 1 | 4 | yes | — |
| 1498 | C2×C4 | C26 | 1 | 1 | yes | characteristic |
| 1499 | C8 | — | 2 | 4 | no | — |
| 1500 | C8 | — | 2 | 4 | no | — |
| 1501 | C8 | — | 2 | 4 | no | — |
| 1502 | C8 | C2×H(5,𝔽2) | 1 | 8 | yes | — |
| 1503 | C22 | — | 2 | 1 | no | — |
| 1504 | C22 | — | 2 | 1 | no | — |
| 1505 | C22 | — | 2 | 1 | no | — |
| 1506 | C22 | — | 2 | 1 | no | — |
| 1507 | C22 | — | 2 | 1 | no | — |
| 1508 | C22 | — | 2 | 4 | no | — |
| 1509 | C22 | — | 2 | 1 | no | — |
| 1510 | C22 | — | 2 | 4 | no | — |
| 1511 | C22 | — | 2 | 1 | no | — |
| 1512 | C22 | — | 2 | 4 | no | — |
| 1513 | C22 | — | 4 | 4 | no | — |
| 1514 | C22 | — | 4 | 4 | no | — |
| 1515 | C22 | — | 4 | 2 | no | — |
| 1516 | C22 | — | 4 | 4 | no | — |
| 1517 | C22 | — | 4 | 8 | no | — |
| 1518 | C22 | — | 4 | 4 | no | — |
| 1519 | C22 | — | 4 | 2 | no | — |
| 1520 | C22 | — | 4 | 4 | no | — |
| 1521 | C22 | — | 4 | 8 | no | — |
| 1522 | C22 | — | 4 | 2 | no | — |
| 1523 | C22 | — | 4 | 8 | no | — |
| 1524 | C22 | — | 4 | 4 | no | — |
| 1525 | C22 | — | 4 | 4 | no | — |
| 1526 | C22 | — | 16 | 4 | no | — |
| 1527 | C22 | — | 16 | 4 | no | — |
| 1528 | C22 | — | 16 | 8 | no | — |
| 1529 | C22 | — | 16 | 8 | no | — |
| 1530 | C22 | — | 16 | 8 | no | — |
| 1531 | C22 | — | 32 | 8 | no | — |
| 1532 | C22 | — | 32 | 8 | no | — |
| 1533 | C22 | #3498 | 1 | 2 | yes | — |
| 1534 | C22 | C2×#576 | 1 | 2 | yes | — |
| 1535 | C22 | C24×D4 | 1 | 1 | yes | characteristic |
| 1536 | C4 | — | 2 | 1 | no | — |
| 1537 | C4 | — | 2 | 1 | no | — |
| 1538 | C4 | — | 2 | 4 | no | — |
| 1539 | C4 | — | 2 | 1 | no | — |
| 1540 | C4 | — | 2 | 1 | no | — |
| 1541 | C4 | — | 2 | 4 | no | — |
| 1542 | C4 | — | 2 | 1 | no | — |
| 1543 | C4 | — | 2 | 1 | no | — |
| 1544 | C4 | — | 2 | 1 | no | — |
| 1545 | C4 | — | 2 | 4 | no | — |
| 1546 | C4 | — | 4 | 2 | no | — |
| 1547 | C4 | — | 4 | 4 | no | — |
| 1548 | C4 | — | 4 | 2 | no | — |
| 1549 | C4 | — | 4 | 4 | no | — |
| 1550 | C4 | — | 4 | 2 | no | — |
| 1551 | C4 | #3498 | 1 | 2 | yes | — |
| 1552 | C4 | C2×#576 | 1 | 2 | yes | — |
| 1553 | C4 | C2×#576 | 1 | 2 | yes | — |
| 1554 | C4 | #3585 | 1 | 2 | yes | — |
| 1555 | C4 | C22×H(5,𝔽2) | 1 | 2 | yes | — |
| 1556 | C2 | — | 2 | 2 | no | — |
| 1557 | C2 | — | 2 | 2 | no | — |
| 1558 | C2 | — | 4 | 1 | no | — |
| 1559 | C2 | — | 4 | 4 | no | — |
| 1560 | C2 | — | 8 | 8 | no | — |
| 1561 | C2 | — | 8 | 4 | no | — |
| 1562 | C2 | — | 8 | 4 | no | — |
| 1563 | C2 | — | 8 | 2 | no | — |
| 1564 | C2 | C2×#3498 | 1 | 1 | yes | characteristic |
| 1565 | C2 | C22×#576 | 1 | 1 | yes | characteristic |
| 1566 | C2 | C2×#3585 | 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 ◁ #3444 ◁ G | |
| LECS | G ▷ C2×C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #62834 | C2 | semidirect |
| 2. #62832 | C2 | semidirect |
| 3. #62463 | C2 | semidirect |
| 4. #62459 | C2 | semidirect |
| 5. #62426 | C2 | semidirect |
| 6. #62423 | C2 | semidirect |
| 7. #62423 | C2 | semidirect |
| 8. #62421 | C2 | semidirect |
| 9. #62415 | C2 | semidirect |
| 10. #62414 | C2 | semidirect |
| 11. #61419 | C2 | semidirect |
| 12. #61093 | C2 | semidirect |
| 13. #61072 | C2 | semidirect |
| 14. #60822 | C2 | semidirect |
| 15. #60817 | C2 | semidirect |
| 16. #60782 | C2 | semidirect |
| 17. C2×#3205 | C2 | semidirect |
| 18. #60722 | C2 | semidirect |
| 19. #60700 | C2 | semidirect |
| 20. #60647 | C2 | semidirect |
| 21. C2×#3151 | C2 | semidirect |
| 22. #60210 | C2 | semidirect |
| 23. C2×#576 | C22 | semidirect |
| 24. C22×AGL(1,ℤ/8) | C22 | semidirect |
| 26. #3558 | C22 | semidirect |
| 30. #3546 | C22 | semidirect |
| 35. #3543 | C22 | semidirect |
| 36. #3543 | C22 | semidirect |
| 40. #3511 | C22 | semidirect |
| 41. #3511 | C22 | semidirect |
| 44. #3508 | C22 | semidirect |
| 45. #3508 | C22 | semidirect |
| 46. #3508 | C22 | semidirect |
| 47. #3508 | C22 | semidirect |
| 48. #3508 | C22 | semidirect |
| 50. #3506 | C22 | semidirect |
| 53. #3498 | C22 | semidirect |
| 54. #3498 | C22 | semidirect |
| 55. #3498 | C22 | semidirect |
| 56. #3498 | C22 | semidirect |
| 57. #3498 | C22 | semidirect |
| 58. #3498 | C22 | semidirect |
| 60. #3496 | C22 | semidirect |
| 62. #3488 | C22 | semidirect |
| 65. #3484 | C22 | semidirect |
| 67. #3444 | C22 | semidirect |
| 68. C2×#532 | C22 | semidirect |
| 69. C2×#532 | C22 | semidirect |
| 70. C22×#127 | C22 | semidirect |
| 71. #3403 | C22 | semidirect |
| 72. #3399 | C22 | semidirect |
| 73. #3399 | C22 | semidirect |
| 74. #3397 | C22 | semidirect |
| 75. #3394 | C22 | semidirect |
| 76. #3391 | C22 | semidirect |
| 77. #3284 | C22 | semidirect |
| 78. #3282 | C22 | semidirect |
| 79. D4×D8 | C22 | semidirect |
| 80. D4×D8 | C22 | semidirect |
| 81. #3274 | C22 | semidirect |
| 82. #3274 | C22 | semidirect |
| 83. #3273 | C22 | semidirect |
| 84. #3272 | C22 | semidirect |
| 85. #3268 | C22 | semidirect |
| 86. #3268 | C22 | semidirect |
| 87. #3265 | C22 | semidirect |
| 88. #3264 | C22 | semidirect |
| 89. #3264 | C22 | semidirect |
| 90. #3264 | C22 | semidirect |
| 91. #3224 | C22 | semidirect |
| 92. #3220 | C22 | semidirect |
| 93. #3212 | C22 | semidirect |
| 94. #3211 | C22 | semidirect |
| 95. #3210 | C22 | semidirect |
| 96. #3210 | C22 | semidirect |
| 97. #3209 | C22 | semidirect |
| 98. #3208 | C22 | semidirect |
| 99. #3208 | C22 | semidirect |
| 100. #3207 | C22 | semidirect |
| 101. #3207 | C22 | semidirect |
| 102. #3207 | C22 | semidirect |
| 103. #3207 | C22 | semidirect |
| 104. #3206 | C22 | semidirect |
| 105. #3205 | C22 | semidirect |
| 106. #3205 | C22 | semidirect |
| 107. #3205 | C22 | semidirect |
| 108. #3205 | C22 | semidirect |
| 109. #3205 | C22 | semidirect |
| 110. #3205 | C22 | semidirect |
| 111. #3205 | C22 | semidirect |
| 112. #3205 | C22 | semidirect |
| 113. #3205 | C22 | semidirect |
| 114. #3184 | C22 | semidirect |
| 115. #3184 | C22 | semidirect |
| 116. #3182 | C22 | semidirect |
| 117. #3182 | C22 | semidirect |
| 118. #3180 | C22 | semidirect |
| 119. #3179 | C22 | semidirect |
| 120. #3171 | C22 | semidirect |
| 121. #3169 | C22 | semidirect |
| 122. #3169 | C22 | semidirect |
| 123. #3167 | C22 | semidirect |
| 124. #3167 | C22 | semidirect |
| 125. #3165 | C22 | semidirect |
| 126. #3155 | C22 | semidirect |
| 127. #3155 | C22 | semidirect |
| 128. #3151 | C22 | semidirect |
| 129. #3151 | C22 | semidirect |
| 130. #3151 | C22 | semidirect |
| 131. #3151 | C22 | semidirect |
| 132. #3151 | C22 | semidirect |
| 133. #3151 | C22 | semidirect |
| 134. #3151 | C22 | semidirect |
| 135. #3151 | C22 | semidirect |
| 136. C2×#496 | C22 | semidirect |
| 137. #3147 | C22 | semidirect |
| 138. #3147 | C22 | semidirect |
| 139. C2×#493 | C22 | semidirect |
| 140. C2×#493 | C22 | semidirect |
| 141. C2×#493 | C22 | semidirect |
| 142. C2×#492 | C22 | semidirect |
| 143. #3141 | C22 | semidirect |
| 144. #3138 | C22 | semidirect |
| 145. #3131 | C22 | semidirect |
| 146. C2×#486 | C22 | semidirect |
| 147. #3062 | C22 | semidirect |
| 148. #3055 | C22 | semidirect |
| 149. #3045 | C22 | semidirect |
| 150. #3041 | C22 | semidirect |
| 151. #3035 | C22 | semidirect |
| 152. C2×#459 | C22 | semidirect |
| 153. #3012 | C22 | semidirect |
| 154. #3008 | C22 | semidirect |
| 155. #3002 | C22 | semidirect |
| 156. C2×#447 | C22 | semidirect |
| 157. #2969 | C22 | semidirect |
| 158. #2968 | C22 | semidirect |
| 159. #2965 | C22 | semidirect |
| 160. #2965 | C22 | semidirect |
| 161. C8×#41 | C22 | semidirect |
| 162. #2962 | C22 | semidirect |
| 163. #2946 | C22 | semidirect |
| 164. C4×AGL(1,ℤ/8) | C22 | semidirect |
| 165. #2935 | C22 | semidirect |
| 166. #2933 | C22 | semidirect |
| 167. #2922 | C22 | semidirect |
| 168. C2×#431 | C22 | semidirect |
| 169. C4×#131 | C22 | semidirect |
| 170. C2×C4×M16 | C22 | semidirect |
| 187. C2×AGL(1,ℤ/8) | C23 | semidirect |
| 188. C2×AGL(1,ℤ/8) | C23 | semidirect |
| 190. C2×#135 | C23 | semidirect |
| 194. C22×D8 | C23 | semidirect |
| 209. #559 | C23 | semidirect |
| 211. #556 | C23 | semidirect |
| 238. #550 | C23 | semidirect |
| 244. #547 | C23 | semidirect |
| 264. #546 | C23 | semidirect |
| 292. D42 | C23 | semidirect |
| 294. #542 | C23 | semidirect |
| 329. #535 | C23 | semidirect |
| 341. #533 | C23 | semidirect |
| 370. #532 | C23 | semidirect |
| 371. #532 | C23 | semidirect |
| 390. C2×#127 | C23 | semidirect |
| 437. #501 | C23 | semidirect |
| 438. #500 | C23 | semidirect |
| 439. #498 | C23 | semidirect |
| 443. #496 | C23 | semidirect |
| 444. #496 | C23 | semidirect |
| 445. #496 | C23 | semidirect |
| 446. #495 | C23 | semidirect |
| 447. #495 | C23 | semidirect |
| 448. #494 | C23 | semidirect |
| 455. #493 | C23 | semidirect |
| 456. #493 | C23 | semidirect |
| 457. #493 | C23 | semidirect |
| 461. #492 | C23 | semidirect |
| 462. #492 | C23 | semidirect |
| 463. #492 | C23 | semidirect |
| 464. #490 | C23 | semidirect |
| 465. #489 | C23 | semidirect |
| 466. #488 | C23 | semidirect |
| 467. #487 | C23 | semidirect |
| 468. #487 | C23 | semidirect |
| 469. #487 | C23 | semidirect |
| 473. #486 | C23 | semidirect |
| 474. #486 | C23 | semidirect |
| 475. #486 | C23 | semidirect |
| 476. #486 | C23 | semidirect |
| 477. #486 | C23 | semidirect |
| 479. #469 | C23 | semidirect |
| 481. #468 | C23 | semidirect |
| 483. #466 | C23 | semidirect |
| 485. #465 | C23 | semidirect |
| 486. #464 | C23 | semidirect |
| 487. #464 | C23 | semidirect |
| 488. #463 | C23 | semidirect |
| 489. #463 | C23 | semidirect |
| 490. #463 | C23 | semidirect |
| 491. #463 | C23 | semidirect |
| 492. #462 | C23 | semidirect |
| 493. #461 | C23 | semidirect |
| 494. #460 | C23 | semidirect |
| 495. #460 | C23 | semidirect |
| 499. #459 | C23 | semidirect |
| 500. #459 | C23 | semidirect |
| 501. #459 | C23 | semidirect |
| 502. #459 | C23 | semidirect |
| 504. #452 | C23 | semidirect |
| 507. #450 | C23 | semidirect |
| 509. #449 | C23 | semidirect |
| 510. #449 | C23 | semidirect |
| 511. #449 | C23 | semidirect |
| 517. #447 | C23 | semidirect |
| 518. #447 | C23 | semidirect |
| 519. #447 | C23 | semidirect |
| 520. #446 | C23 | semidirect |
| 521. #446 | C23 | semidirect |
| 522. C8×Q8 | C23 | semidirect |
| 523. #442 | C23 | semidirect |
| 524. #442 | C23 | semidirect |
| 525. #440 | C23 | semidirect |
| 526. #440 | C23 | semidirect |
| 527. C4×SD16 | C23 | semidirect |
| 528. C4×SD16 | C23 | semidirect |
| 529. C4×D8 | C23 | semidirect |
| 530. C4×D8 | C23 | semidirect |
| 532. #436 | C23 | semidirect |
| 535. #435 | C23 | semidirect |
| 537. C8×D4 | C23 | semidirect |
| 538. #433 | C23 | semidirect |
| 544. #431 | C23 | semidirect |
| 545. #431 | C23 | semidirect |
| 556. #405 | C23 | semidirect |
| 562. C4×M16 | C23 | semidirect |
| 566. C2×C4×C8 | C23 | semidirect |
| 1248. M16 | H(5,𝔽2) | semidirect |
| 1482. C2×C4 | #576 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #62834 | 2 |
| #62832 | 2 |
| #62463 | 2 |
| #62459 | 2 |
| #62426 | 2 |
| #62423 | 2 |
| #62421 | 2 |
| #62415 | 2 |
| #62414 | 2 |
| #61419 | 2 |
| #61093 | 2 |
| #61072 | 2 |
| #60822 | 2 |
| #60817 | 2 |
| #60782 | 2 |
| C2×#3205 | 2 |
| #60722 | 2 |
| #60700 | 2 |
| #60647 | 2 |
| C2×#3151 | 2 |
| #60210 | 2 |