Finite Group DatabasebetaFinite Group DatabasebetaOrder 512.
6487 conjugacy classes of subgroups.
The subgroup lattice has 1293 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #63013 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #62464 | C2 | 1 | 4 | yes | maximal, complemented |
| 3 | #62424 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #62331 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #62300 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | #62284 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #62042 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #62034 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #62000 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #61996 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #61667 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #61655 | C2 | 1 | 8 | yes | maximal, complemented |
| 13 | #61589 | C2 | 1 | 4 | yes | maximal, complemented |
| 14 | #61586 | C2 | 1 | 4 | yes | maximal, complemented |
| 15 | #61541 | C2 | 1 | 4 | yes | maximal, complemented |
| 16 | #61448 | C2 | 1 | 2 | yes | maximal, complemented |
| 17 | #61091 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 18 | #61067 | C2 | 1 | 4 | yes | maximal, complemented |
| 19 | #61064 | C2 | 1 | 4 | yes | maximal, complemented |
| 20 | #60317 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 21 | C2×#578 | C22 | 1 | 2 | yes | complemented |
| 22 | C2×#575 | C22 | 1 | 4 | yes | complemented |
| 23 | #3559 | — | 2 | 4 | no | — |
| 24 | #3554 | C22 | 1 | 4 | yes | complemented |
| 25 | #3552 | C22 | 1 | 4 | yes | complemented |
| 26 | #3548 | C22 | 1 | 2 | yes | complemented |
| 27 | #3544 | — | 2 | 2 | no | — |
| 28 | #3541 | C22 | 1 | 8 | yes | complemented |
| 29 | #3536 | — | 2 | 4 | no | — |
| 30 | #3535 | — | 2 | 8 | no | — |
| 31 | #3522 | — | 2 | 2 | no | — |
| 32 | #3520 | C22 | 1 | 4 | yes | — |
| 33 | #3520 | C22 | 1 | 4 | yes | complemented |
| 34 | #3519 | — | 2 | 2 | no | — |
| 35 | #3515 | C22 | 1 | 4 | yes | complemented |
| 36 | #3513 | — | 2 | 4 | no | — |
| 37 | #3511 | C22 | 1 | 2 | yes | — |
| 38 | #3503 | C22 | 1 | 2 | yes | complemented |
| 39 | #3501 | C22 | 1 | 4 | yes | complemented |
| 40 | #3499 | C22 | 1 | 2 | yes | complemented |
| 41 | #3492 | — | 2 | 4 | no | — |
| 42 | #3489 | C22 | 1 | 8 | yes | complemented |
| 43 | #3482 | C22 | 1 | 2 | yes | — |
| 44 | #3481 | C22 | 1 | 1 | yes | characteristic |
| 45 | #3481 | C22 | 1 | 2 | yes | complemented |
| 46 | C2×#554 | — | 2 | 2 | no | — |
| 47 | D4×#41 | C22 | 1 | 4 | yes | complemented |
| 48 | C2×#547 | C22 | 1 | 4 | yes | — |
| 49 | #3400 | C22 | 1 | 2 | yes | complemented |
| 50 | #3398 | C22 | 1 | 4 | yes | complemented |
| 51 | #3398 | C22 | 1 | 4 | yes | complemented |
| 52 | #3395 | C22 | 1 | 4 | yes | complemented |
| 53 | #3394 | C22 | 1 | 4 | yes | complemented |
| 54 | #3384 | C22 | 1 | 2 | yes | complemented |
| 55 | #3373 | C22 | 1 | 2 | yes | complemented |
| 56 | #3372 | C22 | 1 | 2 | yes | complemented |
| 57 | #3360 | C22 | 1 | 4 | yes | complemented |
| 58 | #3359 | C22 | 1 | 4 | yes | complemented |
| 59 | #3356 | C22 | 1 | 2 | yes | complemented |
| 60 | #3350 | C22 | 1 | 4 | yes | complemented |
| 61 | #3344 | C22 | 1 | 8 | yes | complemented |
| 62 | #3335 | C22 | 1 | 4 | yes | complemented |
| 63 | #3332 | C22 | 1 | 4 | yes | complemented |
| 64 | #3331 | C22 | 1 | 2 | yes | — |
| 65 | #3331 | C22 | 1 | 4 | yes | complemented |
| 66 | #3331 | C22 | 1 | 8 | yes | complemented |
| 67 | #3331 | C22 | 1 | 4 | yes | complemented |
| 68 | #3331 | C22 | 1 | 8 | yes | complemented |
| 69 | #3331 | C22 | 1 | 4 | yes | complemented |
| 70 | #3330 | C22 | 1 | 4 | yes | complemented |
| 71 | #3328 | C22 | 1 | 8 | yes | complemented |
| 72 | #3328 | C22 | 1 | 4 | yes | complemented |
| 73 | #3327 | C22 | 1 | 8 | yes | complemented |
| 74 | #3326 | C22 | 1 | 8 | yes | complemented |
| 75 | #3324 | C22 | 1 | 2 | yes | complemented |
| 76 | #3323 | C22 | 1 | 8 | yes | complemented |
| 77 | #3316 | C22 | 1 | 8 | yes | complemented |
| 78 | #3312 | C22 | 1 | 8 | yes | complemented |
| 79 | #3311 | C22 | 1 | 4 | yes | complemented |
| 80 | #3307 | C22 | 1 | 4 | yes | complemented |
| 81 | #3299 | C22 | 1 | 4 | yes | complemented |
| 82 | #3298 | C22 | 1 | 4 | yes | complemented |
| 83 | D4×Q16 | C22 | 1 | 4 | yes | complemented |
| 84 | #3284 | C22 | 1 | 4 | yes | complemented |
| 85 | #3284 | C22 | 1 | 4 | yes | complemented |
| 86 | #3283 | C22 | 1 | 4 | yes | complemented |
| 87 | #3283 | C22 | 1 | 4 | yes | complemented |
| 88 | #3278 | C22 | 1 | 4 | yes | complemented |
| 89 | #3277 | C22 | 1 | 8 | yes | complemented |
| 90 | #3276 | C22 | 1 | 4 | yes | — |
| 91 | #3276 | C22 | 1 | 8 | yes | complemented |
| 92 | #3276 | C22 | 1 | 4 | yes | complemented |
| 93 | #3276 | C22 | 1 | 8 | yes | complemented |
| 94 | #3276 | C22 | 1 | 8 | yes | complemented |
| 95 | #3276 | C22 | 1 | 4 | yes | complemented |
| 96 | #3276 | C22 | 1 | 4 | yes | complemented |
| 97 | #3276 | C22 | 1 | 4 | yes | complemented |
| 98 | #3276 | C22 | 1 | 4 | yes | complemented |
| 99 | #3275 | C22 | 1 | 8 | yes | complemented |
| 100 | #3275 | C22 | 1 | 8 | yes | complemented |
| 101 | #3272 | C22 | 1 | 2 | yes | — |
| 102 | #3272 | C22 | 1 | 4 | yes | complemented |
| 103 | #3270 | C22 | 1 | 8 | yes | complemented |
| 104 | #3270 | C22 | 1 | 8 | yes | complemented |
| 105 | #3270 | C22 | 1 | 8 | yes | complemented |
| 106 | #3269 | C22 | 1 | 8 | yes | complemented |
| 107 | #3269 | C22 | 1 | 8 | yes | complemented |
| 108 | #3267 | C22 | 1 | 4 | yes | complemented |
| 109 | #3267 | C22 | 1 | 8 | yes | complemented |
| 110 | #3267 | C22 | 1 | 8 | yes | complemented |
| 111 | #3263 | C22 | 1 | 4 | yes | complemented |
| 112 | #3261 | C22 | 1 | 4 | yes | complemented |
| 113 | #3255 | C22 | 1 | 1 | yes | characteristic, complemented |
| 114 | #3255 | C22 | 1 | 4 | yes | complemented |
| 115 | #3253 | C22 | 1 | 1 | yes | characteristic, complemented |
| 116 | #3252 | C22 | 1 | 4 | yes | complemented |
| 117 | #3225 | C22 | 1 | 8 | yes | complemented |
| 118 | #3223 | C22 | 1 | 8 | yes | complemented |
| 119 | #3212 | C22 | 1 | 4 | yes | complemented |
| 120 | #3210 | C22 | 1 | 4 | yes | complemented |
| 121 | #3209 | C22 | 1 | 4 | yes | complemented |
| 122 | #3209 | C22 | 1 | 2 | yes | complemented |
| 123 | #3209 | C22 | 1 | 4 | yes | complemented |
| 124 | #3206 | C22 | 1 | 2 | yes | complemented |
| 125 | #3204 | C22 | 1 | 4 | yes | complemented |
| 126 | #3201 | C22 | 1 | 8 | yes | complemented |
| 127 | #3197 | C22 | 1 | 4 | yes | complemented |
| 128 | #3196 | C22 | 1 | 8 | yes | complemented |
| 129 | #3195 | C22 | 1 | 4 | yes | complemented |
| 130 | #3195 | C22 | 1 | 8 | yes | complemented |
| 131 | #3185 | C22 | 1 | 4 | yes | complemented |
| 132 | #3178 | C22 | 1 | 8 | yes | complemented |
| 133 | #3172 | C22 | 1 | 4 | yes | complemented |
| 134 | #3167 | C22 | 1 | 2 | yes | complemented |
| 135 | #3156 | C22 | 1 | 4 | yes | complemented |
| 136 | #3152 | C22 | 1 | 4 | yes | complemented |
| 137 | C2×#494 | C22 | 1 | 1 | yes | characteristic, complemented |
| 138 | #3125 | C22 | 1 | 8 | yes | complemented |
| 139 | #3120 | C22 | 1 | 8 | yes | complemented |
| 140 | #3107 | C22 | 1 | 2 | yes | complemented |
| 141 | #3107 | C22 | 1 | 4 | yes | complemented |
| 142 | #3106 | C22 | 1 | 2 | yes | complemented |
| 143 | #3102 | C22 | 1 | 4 | yes | complemented |
| 144 | #3101 | C22 | 1 | 4 | yes | complemented |
| 145 | #3101 | C22 | 1 | 4 | yes | complemented |
| 146 | #3060 | C22 | 1 | 4 | yes | complemented |
| 147 | #3059 | C22 | 1 | 2 | yes | complemented |
| 148 | #3056 | C22 | 1 | 8 | yes | complemented |
| 149 | C2×#470 | C22 | 1 | 4 | yes | complemented |
| 150 | #3046 | C22 | 1 | 8 | yes | complemented |
| 151 | #3039 | C22 | 1 | 2 | yes | complemented |
| 152 | #3039 | C22 | 1 | 4 | yes | complemented |
| 153 | #3036 | C22 | 1 | 4 | yes | complemented |
| 154 | #3013 | C22 | 1 | 8 | yes | complemented |
| 155 | #3011 | C22 | 1 | 4 | yes | complemented |
| 156 | #3007 | C22 | 1 | 8 | yes | complemented |
| 157 | #3007 | C22 | 1 | 8 | yes | complemented |
| 158 | #3005 | C22 | 1 | 8 | yes | complemented |
| 159 | #2993 | C22 | 1 | 4 | yes | complemented |
| 160 | #2991 | C22 | 1 | 2 | yes | complemented |
| 161 | #2979 | C22 | 1 | 1 | yes | characteristic, complemented |
| 162 | #2978 | C22 | 1 | 4 | yes | complemented |
| 163 | #2975 | C22 | 1 | 4 | yes | complemented |
| 164 | #2969 | C22 | 1 | 4 | yes | complemented |
| 165 | #2965 | C22 | 1 | 2 | yes | complemented |
| 166 | #2952 | C22 | 1 | 4 | yes | complemented |
| 167 | C4×AGL(1,ℤ/8) | C22 | 1 | 4 | yes | complemented |
| 168 | C4×#135 | C22 | 1 | 1 | yes | characteristic, complemented |
| 169 | D4×M16 | C22 | 1 | 4 | yes | complemented |
| 170 | #2931 | C22 | 1 | 1 | yes | characteristic, complemented |
| 171 | #2930 | C22 | 1 | 4 | yes | complemented |
| 172 | C2×2−1+4 | C23 | 1 | 4 | yes | — |
| 173 | C22×#41 | C23 | 1 | 8 | yes | — |
| 174 | #578 | — | 4 | 8 | no | — |
| 175 | #575 | — | 4 | 16 | no | — |
| 176 | C2×#137 | C23 | 1 | 8 | yes | — |
| 177 | C2×#137 | C23 | 1 | 8 | yes | — |
| 178 | C2×#137 | C23 | 1 | 8 | yes | — |
| 179 | C2×#137 | C23 | 1 | 4 | yes | — |
| 180 | C2×#137 | C23 | 1 | 8 | yes | — |
| 181 | C2×#137 | C23 | 1 | 8 | yes | — |
| 182 | C2×AGL(1,ℤ/8) | C23 | 1 | 4 | yes | — |
| 183 | C2×AGL(1,ℤ/8) | C23 | 1 | 8 | yes | — |
| 184 | C2×#135 | C23 | 1 | 1 | yes | characteristic |
| 185 | C2×#135 | C23 | 1 | 4 | yes | — |
| 186 | C2×#135 | C23 | 1 | 4 | yes | — |
| 187 | C2×#135 | C23 | 1 | 8 | yes | — |
| 188 | C22×Q16 | C23 | 1 | 2 | yes | — |
| 189 | C22×Q16 | C23 | 1 | 4 | yes | — |
| 190 | C22×Q16 | C23 | 1 | 2 | yes | — |
| 191 | C2×#131 | C23 | 1 | 2 | yes | — |
| 192 | C22×M16 | C23 | 1 | 4 | yes | — |
| 193 | #563 | — | 2 | 8 | no | — |
| 194 | #563 | — | 2 | 8 | no | — |
| 195 | #562 | — | 2 | 4 | no | — |
| 196 | #562 | — | 2 | 8 | no | — |
| 197 | #562 | — | 2 | 8 | no | — |
| 198 | #559 | — | 2 | 4 | no | — |
| 199 | #559 | D4 | 1 | 1 | yes | characteristic |
| 200 | #559 | C23 | 1 | 2 | yes | — |
| 201 | Q82 | — | 2 | 2 | no | — |
| 202 | #557 | C23 | 1 | 4 | yes | — |
| 203 | #557 | C23 | 1 | 2 | yes | — |
| 204 | #556 | C23 | 1 | 4 | yes | — |
| 205 | #556 | C23 | 1 | 4 | yes | — |
| 206 | #556 | C23 | 1 | 2 | yes | — |
| 207 | #555 | — | 2 | 2 | no | — |
| 208 | #554 | — | 2 | 2 | no | — |
| 209 | #554 | — | 2 | 4 | no | — |
| 210 | #554 | — | 2 | 8 | no | — |
| 211 | #554 | — | 2 | 4 | no | — |
| 212 | #554 | — | 2 | 2 | no | — |
| 213 | #554 | — | 2 | 4 | no | — |
| 214 | #554 | — | 2 | 2 | no | — |
| 215 | #554 | — | 2 | 8 | no | — |
| 216 | #554 | — | 2 | 4 | no | — |
| 217 | #554 | — | 2 | 4 | no | — |
| 218 | #554 | — | 2 | 4 | no | — |
| 219 | #554 | D4 | 1 | 2 | yes | — |
| 220 | #554 | C23 | 1 | 2 | yes | — |
| 221 | #554 | C23 | 1 | 2 | yes | — |
| 222 | #554 | C23 | 1 | 4 | yes | — |
| 223 | #554 | C23 | 1 | 8 | yes | — |
| 224 | #553 | — | 2 | 8 | no | — |
| 225 | #553 | — | 2 | 4 | no | — |
| 226 | #553 | — | 2 | 4 | no | — |
| 227 | #553 | — | 2 | 4 | no | — |
| 228 | #553 | — | 2 | 2 | no | — |
| 229 | #553 | D4 | 1 | 4 | yes | — |
| 230 | #553 | C23 | 1 | 4 | yes | — |
| 231 | #552 | — | 2 | 8 | no | — |
| 232 | #552 | — | 2 | 4 | no | — |
| 233 | #552 | — | 2 | 4 | no | — |
| 234 | #552 | — | 2 | 2 | no | — |
| 235 | #552 | — | 2 | 4 | no | — |
| 236 | #552 | C23 | 1 | 8 | yes | — |
| 237 | #551 | — | 2 | 8 | no | — |
| 238 | #551 | — | 2 | 4 | no | — |
| 239 | #551 | — | 2 | 8 | no | — |
| 240 | #551 | D4 | 1 | 4 | yes | — |
| 241 | #550 | — | 2 | 2 | no | — |
| 242 | #550 | C23 | 1 | 4 | yes | — |
| 243 | D4×Q8 | C23 | 1 | 4 | yes | — |
| 244 | D4×Q8 | C23 | 1 | 8 | yes | — |
| 245 | D4×Q8 | C23 | 1 | 8 | yes | — |
| 246 | D4×Q8 | C23 | 1 | 4 | yes | — |
| 247 | D4×Q8 | C23 | 1 | 4 | yes | — |
| 248 | D4×Q8 | C23 | 1 | 2 | yes | — |
| 249 | #548 | — | 2 | 2 | no | — |
| 250 | #548 | — | 2 | 4 | no | — |
| 251 | #548 | C23 | 1 | 8 | yes | — |
| 252 | #548 | C23 | 1 | 8 | yes | — |
| 253 | #548 | C23 | 1 | 8 | yes | — |
| 254 | #547 | — | 2 | 8 | no | — |
| 255 | #547 | — | 2 | 8 | no | — |
| 256 | #547 | — | 2 | 4 | no | — |
| 257 | #547 | — | 2 | 4 | no | — |
| 258 | #547 | — | 2 | 4 | no | — |
| 259 | #547 | — | 2 | 8 | no | — |
| 260 | #547 | — | 2 | 4 | no | — |
| 261 | #547 | — | 2 | 4 | no | — |
| 262 | #547 | C23 | 1 | 4 | yes | — |
| 263 | #547 | C23 | 1 | 2 | yes | — |
| 264 | #547 | C23 | 1 | 8 | yes | — |
| 265 | #547 | C23 | 1 | 4 | yes | — |
| 266 | #547 | C23 | 1 | 4 | yes | — |
| 267 | #547 | C23 | 1 | 8 | yes | — |
| 268 | #547 | C23 | 1 | 4 | yes | — |
| 269 | #547 | C23 | 1 | 4 | yes | — |
| 270 | #547 | C23 | 1 | 4 | yes | — |
| 271 | #546 | — | 2 | 2 | no | — |
| 272 | #546 | — | 2 | 4 | no | — |
| 273 | #546 | — | 2 | 8 | no | — |
| 274 | #546 | — | 2 | 8 | no | — |
| 275 | #546 | — | 2 | 8 | no | — |
| 276 | #546 | D4 | 1 | 4 | yes | — |
| 277 | #546 | C23 | 1 | 8 | yes | — |
| 278 | #546 | C23 | 1 | 4 | yes | — |
| 279 | D42 | — | 2 | 4 | no | — |
| 280 | D42 | D4 | 1 | 1 | yes | characteristic |
| 281 | D42 | C23 | 1 | 2 | yes | — |
| 282 | #544 | — | 2 | 4 | no | — |
| 283 | #544 | — | 2 | 4 | no | — |
| 284 | #544 | — | 2 | 2 | no | — |
| 285 | #544 | — | 2 | 4 | no | — |
| 286 | #543 | — | 2 | 8 | no | — |
| 287 | #542 | — | 2 | 4 | no | — |
| 288 | #542 | — | 2 | 8 | no | — |
| 289 | #542 | — | 2 | 4 | no | — |
| 290 | #542 | — | 2 | 4 | no | — |
| 291 | #542 | — | 2 | 4 | no | — |
| 292 | #542 | C23 | 1 | 8 | yes | — |
| 293 | #541 | C23 | 1 | 8 | yes | — |
| 294 | #540 | — | 2 | 4 | no | — |
| 295 | #540 | — | 2 | 4 | no | — |
| 296 | #539 | — | 2 | 8 | no | — |
| 297 | #539 | — | 2 | 8 | no | — |
| 298 | #539 | — | 2 | 8 | no | — |
| 299 | #539 | — | 2 | 8 | no | — |
| 300 | #539 | — | 2 | 8 | no | — |
| 301 | #539 | — | 2 | 8 | no | — |
| 302 | #538 | — | 2 | 8 | no | — |
| 303 | #538 | — | 2 | 8 | no | — |
| 304 | #537 | — | 2 | 2 | no | — |
| 305 | #537 | — | 2 | 8 | no | — |
| 306 | #537 | — | 2 | 4 | no | — |
| 307 | #537 | C23 | 1 | 8 | yes | — |
| 308 | #536 | — | 2 | 4 | no | — |
| 309 | #536 | — | 2 | 8 | no | — |
| 310 | #536 | C23 | 1 | 8 | yes | — |
| 311 | #536 | C23 | 1 | 4 | yes | — |
| 312 | #533 | C23 | 1 | 4 | yes | — |
| 313 | #533 | C23 | 1 | 4 | yes | — |
| 314 | #533 | C23 | 1 | 2 | yes | — |
| 315 | #533 | C23 | 1 | 4 | yes | — |
| 316 | #532 | — | 2 | 2 | no | — |
| 317 | #532 | — | 2 | 4 | no | — |
| 318 | #532 | C23 | 1 | 4 | yes | — |
| 319 | #532 | C23 | 1 | 2 | yes | — |
| 320 | #532 | C23 | 1 | 1 | yes | characteristic |
| 321 | C2×C4⋊Q8 | — | 2 | 2 | no | — |
| 322 | C2×C4⋊Q8 | C23 | 1 | 2 | yes | — |
| 323 | C2×C4⋊Q8 | C23 | 1 | 4 | yes | — |
| 324 | #529 | — | 2 | 4 | no | — |
| 325 | #529 | — | 2 | 2 | no | — |
| 326 | #529 | — | 2 | 4 | no | — |
| 327 | #529 | — | 2 | 2 | no | — |
| 328 | #529 | C23 | 1 | 4 | yes | — |
| 329 | #529 | C23 | 1 | 4 | yes | — |
| 330 | C2×#125 | — | 2 | 4 | no | — |
| 331 | #525 | — | 2 | 8 | no | — |
| 332 | #525 | — | 2 | 4 | no | — |
| 333 | #525 | — | 2 | 8 | no | — |
| 334 | #525 | — | 2 | 4 | no | — |
| 335 | #525 | C23 | 1 | 8 | yes | — |
| 336 | #525 | C23 | 1 | 4 | yes | — |
| 337 | C2×#123 | — | 2 | 8 | no | — |
| 338 | C2×C22⋊Q8 | — | 2 | 8 | no | — |
| 339 | C2×C22⋊Q8 | — | 2 | 4 | no | — |
| 340 | C2×C22⋊Q8 | C23 | 1 | 8 | yes | — |
| 341 | C2×C22⋊Q8 | C23 | 1 | 8 | yes | — |
| 342 | C2×#121 | — | 2 | 4 | no | — |
| 343 | #520 | — | 2 | 2 | no | — |
| 344 | #520 | — | 2 | 4 | no | — |
| 345 | #520 | — | 2 | 2 | no | — |
| 346 | #520 | C23 | 1 | 8 | yes | — |
| 347 | #518 | — | 2 | 4 | no | — |
| 348 | C4×#41 | C23 | 1 | 4 | yes | — |
| 349 | C4×#41 | C23 | 1 | 2 | yes | — |
| 350 | C4×#41 | C23 | 1 | 2 | yes | — |
| 351 | C2×C4×Q8 | — | 2 | 2 | no | — |
| 352 | C2×C4×D4 | — | 2 | 4 | no | — |
| 353 | C2×C4×D4 | — | 2 | 2 | no | — |
| 354 | C2×C4×D4 | C23 | 1 | 4 | yes | — |
| 355 | C2×C4×D4 | C23 | 1 | 4 | yes | — |
| 356 | C22×C4⋊C4 | — | 2 | 4 | no | — |
| 357 | #501 | C23 | 1 | 4 | yes | — |
| 358 | #498 | C23 | 1 | 2 | yes | — |
| 359 | #497 | C23 | 1 | 8 | yes | — |
| 360 | #497 | C23 | 1 | 8 | yes | — |
| 361 | #497 | C23 | 1 | 4 | yes | — |
| 362 | #495 | C23 | 1 | 8 | yes | — |
| 363 | #494 | C23 | 1 | 4 | yes | — |
| 364 | #494 | C23 | 1 | 8 | yes | — |
| 365 | #494 | C23 | 1 | 4 | yes | — |
| 366 | #494 | C23 | 1 | 4 | yes | — |
| 367 | #492 | C23 | 1 | 4 | yes | — |
| 368 | #492 | C23 | 1 | 2 | yes | — |
| 369 | #491 | C23 | 1 | 4 | yes | — |
| 370 | #489 | C23 | 1 | 4 | yes | — |
| 371 | #488 | C23 | 1 | 8 | yes | — |
| 372 | #487 | C23 | 1 | 4 | yes | — |
| 373 | #487 | C23 | 1 | 8 | yes | — |
| 374 | #487 | C23 | 1 | 2 | yes | — |
| 375 | #487 | C23 | 1 | 4 | yes | — |
| 376 | #486 | C23 | 1 | 2 | yes | — |
| 377 | #485 | C23 | 1 | 8 | yes | — |
| 378 | #485 | C23 | 1 | 4 | yes | — |
| 379 | #485 | C23 | 1 | 4 | yes | — |
| 380 | #484 | C23 | 1 | 8 | yes | — |
| 381 | #483 | C23 | 1 | 4 | yes | — |
| 382 | #483 | C23 | 1 | 8 | yes | — |
| 383 | #483 | C23 | 1 | 8 | yes | — |
| 384 | #483 | C23 | 1 | 8 | yes | — |
| 385 | #483 | C23 | 1 | 4 | yes | — |
| 386 | #482 | C23 | 1 | 4 | yes | — |
| 387 | #482 | C23 | 1 | 4 | yes | — |
| 388 | #481 | C23 | 1 | 8 | yes | — |
| 389 | #479 | C23 | 1 | 8 | yes | — |
| 390 | #479 | C23 | 1 | 4 | yes | — |
| 391 | #478 | C23 | 1 | 4 | yes | — |
| 392 | #477 | C23 | 1 | 2 | yes | — |
| 393 | #476 | C23 | 1 | 2 | yes | — |
| 394 | #476 | C23 | 1 | 4 | yes | — |
| 395 | #476 | C23 | 1 | 4 | yes | — |
| 396 | #476 | C23 | 1 | 4 | yes | — |
| 397 | #475 | C23 | 1 | 4 | yes | — |
| 398 | #475 | C23 | 1 | 8 | yes | — |
| 399 | #475 | C23 | 1 | 2 | yes | — |
| 400 | #474 | C23 | 1 | 2 | yes | — |
| 401 | #470 | C23 | 1 | 4 | yes | — |
| 402 | #470 | C23 | 1 | 8 | yes | — |
| 403 | #470 | C23 | 1 | 8 | yes | — |
| 404 | #470 | C23 | 1 | 4 | yes | — |
| 405 | #470 | C23 | 1 | 8 | yes | — |
| 406 | #470 | C23 | 1 | 4 | yes | — |
| 407 | #470 | C23 | 1 | 4 | yes | — |
| 408 | #470 | C23 | 1 | 8 | yes | — |
| 409 | #470 | C23 | 1 | 8 | yes | — |
| 410 | #470 | C23 | 1 | 8 | yes | — |
| 411 | #470 | C23 | 1 | 4 | yes | — |
| 412 | #470 | C23 | 1 | 4 | yes | — |
| 413 | #469 | C23 | 1 | 4 | yes | — |
| 414 | #469 | C23 | 1 | 4 | yes | — |
| 415 | #468 | C23 | 1 | 8 | yes | — |
| 416 | #468 | C23 | 1 | 4 | yes | — |
| 417 | #468 | C23 | 1 | 4 | yes | — |
| 418 | #468 | C23 | 1 | 8 | yes | — |
| 419 | #467 | C23 | 1 | 8 | yes | — |
| 420 | #467 | C23 | 1 | 8 | yes | — |
| 421 | #465 | C23 | 1 | 8 | yes | — |
| 422 | #465 | C23 | 1 | 4 | yes | — |
| 423 | #465 | C23 | 1 | 4 | yes | — |
| 424 | #465 | C23 | 1 | 8 | yes | — |
| 425 | #464 | C23 | 1 | 4 | yes | — |
| 426 | #464 | C23 | 1 | 8 | yes | — |
| 427 | #464 | C23 | 1 | 8 | yes | — |
| 428 | #464 | C23 | 1 | 8 | yes | — |
| 429 | #463 | C23 | 1 | 4 | yes | — |
| 430 | #463 | C23 | 1 | 8 | yes | — |
| 431 | #463 | C23 | 1 | 8 | yes | — |
| 432 | #462 | C23 | 1 | 4 | yes | — |
| 433 | #462 | C23 | 1 | 8 | yes | — |
| 434 | #462 | C23 | 1 | 2 | yes | — |
| 435 | #462 | C23 | 1 | 4 | yes | — |
| 436 | #462 | C23 | 1 | 8 | yes | — |
| 437 | #462 | C23 | 1 | 4 | yes | — |
| 438 | #462 | C23 | 1 | 4 | yes | — |
| 439 | #462 | C23 | 1 | 8 | yes | — |
| 440 | #462 | C23 | 1 | 8 | yes | — |
| 441 | #462 | C23 | 1 | 4 | yes | — |
| 442 | #461 | C23 | 1 | 4 | yes | — |
| 443 | #461 | C23 | 1 | 4 | yes | — |
| 444 | #461 | C23 | 1 | 4 | yes | — |
| 445 | #461 | C23 | 1 | 4 | yes | — |
| 446 | #461 | C23 | 1 | 8 | yes | — |
| 447 | #461 | C23 | 1 | 4 | yes | — |
| 448 | #461 | C23 | 1 | 2 | yes | — |
| 449 | #461 | C23 | 1 | 4 | yes | — |
| 450 | #460 | C23 | 1 | 2 | yes | — |
| 451 | #459 | C23 | 1 | 4 | yes | — |
| 452 | #459 | C23 | 1 | 2 | yes | — |
| 453 | #452 | C23 | 1 | 4 | yes | — |
| 454 | #452 | C23 | 1 | 8 | yes | — |
| 455 | #452 | C23 | 1 | 8 | yes | — |
| 456 | #452 | C23 | 1 | 8 | yes | — |
| 457 | #452 | C23 | 1 | 8 | yes | — |
| 458 | #452 | C23 | 1 | 8 | yes | — |
| 459 | #452 | C23 | 1 | 8 | yes | — |
| 460 | #452 | C23 | 1 | 8 | yes | — |
| 461 | #452 | C23 | 1 | 4 | yes | — |
| 462 | #452 | C23 | 1 | 8 | yes | — |
| 463 | #452 | C23 | 1 | 8 | yes | — |
| 464 | #452 | C23 | 1 | 8 | yes | — |
| 465 | #451 | C23 | 1 | 8 | yes | — |
| 466 | #451 | C23 | 1 | 8 | yes | — |
| 467 | #451 | C23 | 1 | 8 | yes | — |
| 468 | #451 | C23 | 1 | 8 | yes | — |
| 469 | #451 | C23 | 1 | 8 | yes | — |
| 470 | #451 | C23 | 1 | 8 | yes | — |
| 471 | #451 | C23 | 1 | 8 | yes | — |
| 472 | #451 | C23 | 1 | 8 | yes | — |
| 473 | #450 | C23 | 1 | 4 | yes | — |
| 474 | #450 | C23 | 1 | 8 | yes | — |
| 475 | #450 | C23 | 1 | 4 | yes | — |
| 476 | #449 | C23 | 1 | 8 | yes | — |
| 477 | #449 | C23 | 1 | 8 | yes | — |
| 478 | #449 | C23 | 1 | 4 | yes | — |
| 479 | #449 | C23 | 1 | 4 | yes | — |
| 480 | #449 | C23 | 1 | 8 | yes | — |
| 481 | #448 | C23 | 1 | 8 | yes | — |
| 482 | #448 | C23 | 1 | 8 | yes | — |
| 483 | #446 | C23 | 1 | 2 | yes | — |
| 484 | #446 | C23 | 1 | 2 | yes | — |
| 485 | C8×Q8 | C23 | 1 | 4 | yes | — |
| 486 | #442 | C23 | 1 | 4 | yes | — |
| 487 | #442 | C23 | 1 | 4 | yes | — |
| 488 | #441 | C23 | 1 | 8 | yes | — |
| 489 | #441 | C23 | 1 | 8 | yes | — |
| 490 | #440 | C23 | 1 | 4 | yes | — |
| 491 | #440 | C23 | 1 | 4 | yes | — |
| 492 | C4×Q16 | C23 | 1 | 4 | yes | — |
| 493 | C4×Q16 | C23 | 1 | 8 | yes | — |
| 494 | C4×Q16 | C23 | 1 | 2 | yes | — |
| 495 | C4×SD16 | C23 | 1 | 2 | yes | — |
| 496 | C4×SD16 | C23 | 1 | 4 | yes | — |
| 497 | C4×SD16 | C23 | 1 | 4 | yes | — |
| 498 | C4×SD16 | C23 | 1 | 8 | yes | — |
| 499 | C4×SD16 | C23 | 1 | 4 | yes | — |
| 500 | C4×SD16 | C23 | 1 | 8 | yes | — |
| 501 | C4×SD16 | C23 | 1 | 4 | yes | — |
| 502 | C4×SD16 | C23 | 1 | 2 | yes | — |
| 503 | C4×SD16 | C23 | 1 | 8 | yes | — |
| 504 | C4×D8 | C23 | 1 | 4 | yes | — |
| 505 | C4×D8 | C23 | 1 | 2 | yes | — |
| 506 | #436 | C23 | 1 | 4 | yes | — |
| 507 | #436 | C23 | 1 | 8 | yes | — |
| 508 | #436 | C23 | 1 | 4 | yes | — |
| 509 | #436 | C23 | 1 | 2 | yes | — |
| 510 | #436 | C23 | 1 | 4 | yes | — |
| 511 | #436 | C23 | 1 | 8 | yes | — |
| 512 | #436 | C23 | 1 | 8 | yes | — |
| 513 | #436 | C23 | 1 | 2 | yes | — |
| 514 | #435 | C23 | 1 | 8 | yes | — |
| 515 | #435 | C23 | 1 | 4 | yes | — |
| 516 | #435 | C23 | 1 | 8 | yes | — |
| 517 | #435 | C23 | 1 | 4 | yes | — |
| 518 | C8×D4 | C23 | 1 | 4 | yes | — |
| 519 | C8×D4 | C23 | 1 | 4 | yes | — |
| 520 | #433 | C23 | 1 | 8 | yes | — |
| 521 | #431 | C23 | 1 | 4 | yes | — |
| 522 | #431 | C23 | 1 | 4 | yes | — |
| 523 | #431 | C23 | 1 | 2 | yes | — |
| 524 | #428 | C23 | 1 | 4 | yes | — |
| 525 | #427 | C23 | 1 | 1 | yes | characteristic |
| 526 | C2×#106 | C23 | 1 | 4 | yes | — |
| 527 | #424 | C23 | 1 | 4 | yes | — |
| 528 | #423 | C23 | 1 | 1 | yes | characteristic |
| 529 | #423 | C23 | 1 | 4 | yes | — |
| 530 | #419 | C23 | 1 | 8 | yes | — |
| 531 | #419 | C23 | 1 | 4 | yes | — |
| 532 | #418 | C23 | 1 | 4 | yes | — |
| 533 | #417 | C23 | 1 | 8 | yes | — |
| 534 | #417 | C23 | 1 | 4 | yes | — |
| 535 | #417 | C23 | 1 | 8 | yes | — |
| 536 | #417 | C23 | 1 | 8 | yes | — |
| 537 | #416 | C23 | 1 | 2 | yes | — |
| 538 | C2×#103 | C23 | 1 | 8 | yes | — |
| 539 | #408 | C23 | 1 | 4 | yes | — |
| 540 | #408 | C23 | 1 | 2 | yes | — |
| 541 | #407 | C23 | 1 | 4 | yes | — |
| 542 | #407 | C23 | 1 | 8 | yes | — |
| 543 | #405 | C23 | 1 | 4 | yes | — |
| 544 | C4×M16 | C23 | 1 | 4 | yes | — |
| 545 | C2×C4×C8 | C23 | 1 | 1 | yes | characteristic |
| 546 | 2−1+4 | — | 4 | 8 | no | — |
| 547 | 2−1+4 | — | 8 | 4 | no | — |
| 548 | C2×#41 | — | 2 | 4 | no | — |
| 549 | C2×#41 | — | 2 | 8 | no | — |
| 550 | C2×#41 | — | 2 | 4 | no | — |
| 551 | C2×#41 | — | 2 | 2 | no | — |
| 552 | C2×#41 | — | 2 | 8 | no | — |
| 553 | C2×#41 | — | 2 | 8 | no | — |
| 554 | C2×#41 | — | 4 | 16 | no | — |
| 555 | C2×#41 | — | 8 | 8 | no | — |
| 556 | C2×#41 | C2×D4 | 1 | 2 | yes | — |
| 557 | C2×#41 | C24 | 1 | 2 | yes | — |
| 558 | C2×#41 | C24 | 1 | 4 | yes | — |
| 559 | C2×#41 | C24 | 1 | 8 | yes | — |
| 560 | C2×#41 | C24 | 1 | 8 | yes | — |
| 561 | C2×#41 | C24 | 1 | 8 | yes | — |
| 562 | C2×#41 | C24 | 1 | 2 | yes | — |
| 563 | C22×Q8 | — | 2 | 2 | no | — |
| 564 | C22×Q8 | — | 2 | 4 | no | — |
| 565 | C22×Q8 | C24 | 1 | 8 | yes | — |
| 566 | C22×Q8 | C24 | 1 | 8 | yes | — |
| 567 | C22×Q8 | C24 | 1 | 4 | yes | — |
| 568 | C22×D4 | — | 2 | 8 | no | — |
| 569 | C22×D4 | — | 2 | 2 | no | — |
| 570 | C22×D4 | C2×D4 | 1 | 4 | yes | — |
| 571 | C22×D4 | C24 | 1 | 4 | yes | — |
| 572 | C23×C4 | — | 2 | 4 | no | — |
| 573 | C23×C4 | — | 2 | 8 | no | — |
| 574 | C23×C4 | C24 | 1 | 4 | yes | — |
| 575 | #137 | — | 4 | 16 | no | — |
| 576 | #137 | — | 4 | 16 | no | — |
| 577 | #137 | — | 4 | 8 | no | — |
| 578 | #137 | — | 4 | 16 | no | — |
| 579 | #137 | — | 8 | 8 | no | — |
| 580 | #137 | — | 8 | 8 | no | — |
| 581 | AGL(1,ℤ/8) | — | 2 | 16 | no | — |
| 582 | AGL(1,ℤ/8) | — | 4 | 16 | no | — |
| 583 | #135 | — | 2 | 16 | no | — |
| 584 | #135 | — | 2 | 4 | no | — |
| 585 | #135 | — | 4 | 8 | no | — |
| 586 | #135 | — | 4 | 16 | no | — |
| 587 | C2×Q16 | — | 4 | 8 | no | — |
| 588 | C2×Q16 | — | 4 | 4 | no | — |
| 589 | C2×Q16 | — | 8 | 2 | no | — |
| 590 | C2×Q16 | C24 | 1 | 1 | yes | characteristic |
| 591 | C2×Q16 | C24 | 1 | 4 | yes | — |
| 592 | C2×Q16 | C24 | 1 | 8 | yes | — |
| 593 | C2×Q16 | C24 | 1 | 4 | yes | — |
| 594 | C2×Q16 | C24 | 1 | 8 | yes | — |
| 595 | C2×Q16 | C24 | 1 | 8 | yes | — |
| 596 | C2×Q16 | C24 | 1 | 4 | yes | — |
| 597 | C2×Q16 | C24 | 1 | 4 | yes | — |
| 598 | C2×Q16 | C24 | 1 | 8 | yes | — |
| 599 | C2×SD16 | C24 | 1 | 4 | yes | — |
| 600 | C2×SD16 | C24 | 1 | 4 | yes | — |
| 601 | C2×SD16 | C24 | 1 | 8 | yes | — |
| 602 | C2×SD16 | C24 | 1 | 2 | yes | — |
| 603 | C2×SD16 | C24 | 1 | 8 | yes | — |
| 604 | C2×SD16 | C24 | 1 | 4 | yes | — |
| 605 | C2×SD16 | C24 | 1 | 8 | yes | — |
| 606 | C2×SD16 | C24 | 1 | 4 | yes | — |
| 607 | C2×D8 | C24 | 1 | 4 | yes | — |
| 608 | C2×D8 | C24 | 1 | 4 | yes | — |
| 609 | C2×D8 | C24 | 1 | 1 | yes | characteristic |
| 610 | #131 | — | 4 | 4 | no | — |
| 611 | C2×M16 | — | 4 | 8 | no | — |
| 612 | C2×M16 | C24 | 1 | 4 | yes | — |
| 613 | C2×M16 | C24 | 1 | 8 | yes | — |
| 614 | C2×M16 | C24 | 1 | 4 | yes | — |
| 615 | C2×M16 | C24 | 1 | 2 | yes | — |
| 616 | C2×M16 | C24 | 1 | 4 | yes | — |
| 617 | C2×M16 | C24 | 1 | 4 | yes | — |
| 618 | C22×C8 | C24 | 1 | 4 | yes | — |
| 619 | C22×C8 | C24 | 1 | 1 | yes | characteristic |
| 620 | C22×C8 | C24 | 1 | 4 | yes | — |
| 621 | C22×C8 | C24 | 1 | 1 | yes | characteristic |
| 622 | C4⋊Q8 | — | 2 | 4 | no | — |
| 623 | C4⋊Q8 | — | 2 | 4 | no | — |
| 624 | C4⋊Q8 | — | 2 | 4 | no | — |
| 625 | C4⋊Q8 | — | 2 | 4 | no | — |
| 626 | C4⋊Q8 | — | 2 | 8 | no | — |
| 627 | C4⋊Q8 | — | 2 | 8 | no | — |
| 628 | C4⋊Q8 | — | 2 | 2 | no | — |
| 629 | C4⋊Q8 | — | 2 | 2 | no | — |
| 630 | C4⋊Q8 | — | 2 | 4 | no | — |
| 631 | C4⋊Q8 | — | 2 | 4 | no | — |
| 632 | C4⋊Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 633 | C4⋊Q8 | C24 | 1 | 2 | yes | — |
| 634 | C4⋊Q8 | C24 | 1 | 4 | yes | — |
| 635 | C4⋊Q8 | C24 | 1 | 4 | yes | — |
| 636 | C4⋊Q8 | C24 | 1 | 8 | yes | — |
| 637 | C4⋊Q8 | C24 | 1 | 4 | yes | — |
| 638 | C4⋊Q8 | C24 | 1 | 2 | yes | — |
| 639 | C4⋊Q8 | C24 | 1 | 2 | yes | — |
| 640 | C4⋊Q8 | C24 | 1 | 4 | yes | — |
| 641 | #127 | — | 2 | 4 | no | — |
| 642 | #127 | C2×D4 | 1 | 1 | yes | characteristic |
| 643 | #127 | C24 | 1 | 2 | yes | — |
| 644 | #126 | — | 2 | 4 | no | — |
| 645 | #126 | — | 2 | 8 | no | — |
| 646 | #126 | — | 2 | 8 | no | — |
| 647 | #126 | — | 2 | 4 | no | — |
| 648 | #126 | — | 2 | 8 | no | — |
| 649 | #126 | — | 2 | 4 | no | — |
| 650 | #126 | — | 2 | 4 | no | — |
| 651 | #126 | — | 2 | 8 | no | — |
| 652 | #126 | — | 2 | 8 | no | — |
| 653 | #126 | — | 2 | 4 | no | — |
| 654 | #126 | C2×D4 | 1 | 8 | yes | — |
| 655 | #125 | — | 2 | 8 | no | — |
| 656 | #125 | — | 2 | 8 | no | — |
| 657 | #125 | — | 2 | 4 | no | — |
| 658 | #125 | — | 2 | 4 | no | — |
| 659 | #125 | — | 2 | 4 | no | — |
| 660 | #125 | — | 2 | 2 | no | — |
| 661 | #125 | — | 2 | 2 | no | — |
| 662 | #125 | — | 2 | 8 | no | — |
| 663 | #125 | — | 2 | 8 | no | — |
| 664 | #125 | — | 2 | 8 | no | — |
| 665 | #125 | — | 2 | 4 | no | — |
| 666 | #125 | — | 2 | 4 | no | — |
| 667 | #125 | — | 2 | 4 | no | — |
| 668 | #125 | — | 2 | 2 | no | — |
| 669 | #125 | C2×D4 | 1 | 4 | yes | — |
| 670 | #125 | C24 | 1 | 4 | yes | — |
| 671 | #124 | — | 2 | 2 | no | — |
| 672 | #124 | — | 2 | 4 | no | — |
| 673 | #124 | — | 2 | 2 | no | — |
| 674 | #124 | — | 2 | 4 | no | — |
| 675 | #124 | — | 2 | 8 | no | — |
| 676 | #124 | — | 2 | 8 | no | — |
| 677 | #124 | — | 2 | 8 | no | — |
| 678 | #124 | — | 2 | 8 | no | — |
| 679 | #124 | — | 2 | 2 | no | — |
| 680 | #124 | C2×D4 | 1 | 4 | yes | — |
| 681 | #124 | C2×D4 | 1 | 2 | yes | — |
| 682 | #124 | C24 | 1 | 4 | yes | — |
| 683 | #124 | C24 | 1 | 8 | yes | — |
| 684 | #123 | — | 2 | 8 | no | — |
| 685 | #123 | — | 2 | 8 | no | — |
| 686 | #123 | — | 2 | 8 | no | — |
| 687 | #123 | — | 2 | 4 | no | — |
| 688 | #123 | — | 2 | 8 | no | — |
| 689 | #123 | — | 2 | 4 | no | — |
| 690 | #123 | — | 2 | 4 | no | — |
| 691 | #123 | — | 2 | 4 | no | — |
| 692 | #123 | — | 2 | 8 | no | — |
| 693 | #123 | — | 2 | 8 | no | — |
| 694 | #123 | — | 2 | 8 | no | — |
| 695 | #123 | — | 2 | 8 | no | — |
| 696 | #123 | — | 2 | 8 | no | — |
| 697 | #123 | — | 2 | 8 | no | — |
| 698 | #123 | — | 2 | 8 | no | — |
| 699 | #123 | — | 2 | 4 | no | — |
| 700 | #123 | — | 2 | 8 | no | — |
| 701 | #123 | — | 2 | 8 | no | — |
| 702 | #123 | — | 2 | 4 | no | — |
| 703 | #123 | — | 2 | 4 | no | — |
| 704 | #123 | — | 2 | 8 | no | — |
| 705 | #123 | — | 2 | 8 | no | — |
| 706 | #123 | — | 2 | 8 | no | — |
| 707 | #123 | C2×D4 | 1 | 4 | yes | — |
| 708 | #123 | C2×D4 | 1 | 4 | yes | — |
| 709 | #123 | C2×D4 | 1 | 8 | yes | — |
| 710 | C22⋊Q8 | — | 2 | 8 | no | — |
| 711 | C22⋊Q8 | — | 2 | 4 | no | — |
| 712 | C22⋊Q8 | — | 2 | 2 | no | — |
| 713 | C22⋊Q8 | — | 2 | 8 | no | — |
| 714 | C22⋊Q8 | — | 2 | 4 | no | — |
| 715 | C22⋊Q8 | — | 2 | 8 | no | — |
| 716 | C22⋊Q8 | — | 2 | 8 | no | — |
| 717 | C22⋊Q8 | — | 2 | 8 | no | — |
| 718 | C22⋊Q8 | — | 2 | 2 | no | — |
| 719 | C22⋊Q8 | — | 2 | 4 | no | — |
| 720 | C22⋊Q8 | — | 2 | 4 | no | — |
| 721 | C22⋊Q8 | — | 2 | 8 | no | — |
| 722 | C22⋊Q8 | — | 2 | 4 | no | — |
| 723 | C22⋊Q8 | — | 2 | 8 | no | — |
| 724 | C22⋊Q8 | — | 2 | 8 | no | — |
| 725 | C22⋊Q8 | — | 2 | 8 | no | — |
| 726 | C22⋊Q8 | — | 2 | 2 | no | — |
| 727 | C22⋊Q8 | — | 2 | 8 | no | — |
| 728 | C22⋊Q8 | — | 2 | 4 | no | — |
| 729 | C22⋊Q8 | — | 2 | 8 | no | — |
| 730 | C22⋊Q8 | — | 2 | 4 | no | — |
| 731 | C22⋊Q8 | — | 2 | 8 | no | — |
| 732 | C22⋊Q8 | — | 2 | 8 | no | — |
| 733 | C22⋊Q8 | — | 2 | 8 | no | — |
| 734 | C22⋊Q8 | — | 2 | 4 | no | — |
| 735 | C22⋊Q8 | — | 2 | 8 | no | — |
| 736 | C22⋊Q8 | — | 2 | 8 | no | — |
| 737 | C22⋊Q8 | — | 2 | 8 | no | — |
| 738 | C22⋊Q8 | — | 2 | 8 | no | — |
| 739 | C22⋊Q8 | — | 2 | 8 | no | — |
| 740 | C22⋊Q8 | — | 2 | 8 | no | — |
| 741 | C22⋊Q8 | — | 2 | 8 | no | — |
| 742 | C22⋊Q8 | C2×D4 | 1 | 8 | yes | — |
| 743 | C22⋊Q8 | C2×D4 | 1 | 4 | yes | — |
| 744 | C22⋊Q8 | C24 | 1 | 4 | yes | — |
| 745 | C22⋊Q8 | C24 | 1 | 4 | yes | — |
| 746 | C22⋊Q8 | C24 | 1 | 8 | yes | — |
| 747 | C22⋊Q8 | C24 | 1 | 4 | yes | — |
| 748 | C22⋊Q8 | C24 | 1 | 8 | yes | — |
| 749 | C22⋊Q8 | C24 | 1 | 8 | yes | — |
| 750 | C22⋊Q8 | C24 | 1 | 8 | yes | — |
| 751 | C22⋊Q8 | C24 | 1 | 8 | yes | — |
| 752 | C22⋊Q8 | C24 | 1 | 4 | yes | — |
| 753 | #121 | — | 2 | 2 | no | — |
| 754 | #121 | — | 2 | 4 | no | — |
| 755 | #121 | — | 2 | 8 | no | — |
| 756 | #121 | — | 2 | 4 | no | — |
| 757 | #121 | — | 2 | 4 | no | — |
| 758 | #121 | — | 2 | 8 | no | — |
| 759 | #121 | — | 2 | 8 | no | — |
| 760 | #121 | — | 2 | 4 | no | — |
| 761 | #121 | — | 2 | 8 | no | — |
| 762 | #121 | — | 2 | 4 | no | — |
| 763 | #121 | — | 2 | 4 | no | — |
| 764 | #121 | — | 2 | 8 | no | — |
| 765 | #121 | — | 2 | 8 | no | — |
| 766 | #121 | — | 2 | 8 | no | — |
| 767 | #121 | — | 2 | 8 | no | — |
| 768 | #121 | — | 2 | 4 | no | — |
| 769 | #121 | — | 2 | 2 | no | — |
| 770 | #121 | — | 2 | 4 | no | — |
| 771 | #121 | — | 2 | 2 | no | — |
| 772 | #121 | — | 2 | 4 | no | — |
| 773 | #121 | — | 2 | 8 | no | — |
| 774 | #121 | — | 2 | 8 | no | — |
| 775 | #121 | C2×D4 | 1 | 8 | yes | — |
| 776 | #121 | C2×D4 | 1 | 4 | yes | — |
| 777 | #121 | C2×D4 | 1 | 4 | yes | — |
| 778 | #121 | C24 | 1 | 4 | yes | — |
| 779 | #121 | C24 | 1 | 8 | yes | — |
| 780 | #121 | C24 | 1 | 4 | yes | — |
| 781 | #120 | — | 2 | 8 | no | — |
| 782 | #120 | — | 2 | 8 | no | — |
| 783 | #120 | — | 2 | 4 | no | — |
| 784 | #120 | — | 2 | 4 | no | — |
| 785 | #120 | C2×D4 | 1 | 4 | yes | — |
| 786 | #120 | C2×D4 | 1 | 4 | yes | — |
| 787 | C4×Q8 | — | 2 | 2 | no | — |
| 788 | C4×Q8 | — | 2 | 4 | no | — |
| 789 | C4×Q8 | — | 2 | 2 | no | — |
| 790 | C4×Q8 | — | 2 | 4 | no | — |
| 791 | C4×Q8 | — | 2 | 2 | no | — |
| 792 | C4×Q8 | — | 2 | 4 | no | — |
| 793 | C4×Q8 | — | 2 | 4 | no | — |
| 794 | C4×Q8 | — | 2 | 4 | no | — |
| 795 | C4×Q8 | C2×D4 | 1 | 2 | yes | — |
| 796 | C4×Q8 | C24 | 1 | 2 | yes | — |
| 797 | C4×Q8 | C24 | 1 | 2 | yes | — |
| 798 | C4×Q8 | C24 | 1 | 4 | yes | — |
| 799 | C4×Q8 | C24 | 1 | 4 | yes | — |
| 800 | C4×Q8 | C24 | 1 | 8 | yes | — |
| 801 | C4×Q8 | C24 | 1 | 8 | yes | — |
| 802 | C4×Q8 | C24 | 1 | 2 | yes | — |
| 803 | C4×D4 | — | 2 | 2 | no | — |
| 804 | C4×D4 | — | 2 | 4 | no | — |
| 805 | C4×D4 | — | 2 | 8 | no | — |
| 806 | C4×D4 | — | 2 | 8 | no | — |
| 807 | C4×D4 | — | 2 | 4 | no | — |
| 808 | C4×D4 | — | 2 | 4 | no | — |
| 809 | C4×D4 | — | 2 | 8 | no | — |
| 810 | C4×D4 | — | 2 | 4 | no | — |
| 811 | C4×D4 | — | 2 | 8 | no | — |
| 812 | C4×D4 | — | 2 | 4 | no | — |
| 813 | C4×D4 | — | 2 | 2 | no | — |
| 814 | C4×D4 | — | 2 | 4 | no | — |
| 815 | C4×D4 | — | 2 | 2 | no | — |
| 816 | C4×D4 | — | 2 | 4 | no | — |
| 817 | C4×D4 | — | 2 | 8 | no | — |
| 818 | C4×D4 | — | 2 | 2 | no | — |
| 819 | C4×D4 | — | 2 | 4 | no | — |
| 820 | C4×D4 | — | 2 | 4 | no | — |
| 821 | C4×D4 | — | 2 | 8 | no | — |
| 822 | C4×D4 | — | 2 | 8 | no | — |
| 823 | C4×D4 | — | 2 | 8 | no | — |
| 824 | C4×D4 | — | 2 | 8 | no | — |
| 825 | C4×D4 | — | 2 | 8 | no | — |
| 826 | C4×D4 | — | 2 | 2 | no | — |
| 827 | C4×D4 | — | 2 | 4 | no | — |
| 828 | C4×D4 | — | 2 | 4 | no | — |
| 829 | C4×D4 | — | 2 | 4 | no | — |
| 830 | C4×D4 | — | 2 | 4 | no | — |
| 831 | C4×D4 | C2×D4 | 1 | 4 | yes | — |
| 832 | C4×D4 | C2×D4 | 1 | 2 | yes | — |
| 833 | C4×D4 | C2×D4 | 1 | 4 | yes | — |
| 834 | C4×D4 | C2×D4 | 1 | 8 | yes | — |
| 835 | C4×D4 | C2×D4 | 1 | 4 | yes | — |
| 836 | C4×D4 | C24 | 1 | 2 | yes | — |
| 837 | C4×D4 | C24 | 1 | 4 | yes | — |
| 838 | C4×D4 | C24 | 1 | 4 | yes | — |
| 839 | C4×D4 | C24 | 1 | 4 | yes | — |
| 840 | C4×D4 | C24 | 1 | 2 | yes | — |
| 841 | C4×D4 | C24 | 1 | 4 | yes | — |
| 842 | C4×D4 | C24 | 1 | 2 | yes | — |
| 843 | C4×D4 | C24 | 1 | 8 | yes | — |
| 844 | C4×D4 | C24 | 1 | 4 | yes | — |
| 845 | C4×D4 | C24 | 1 | 4 | yes | — |
| 846 | #117 | — | 2 | 4 | no | — |
| 847 | #117 | — | 2 | 4 | no | — |
| 848 | #117 | — | 2 | 2 | no | — |
| 849 | #117 | — | 2 | 4 | no | — |
| 850 | #117 | — | 2 | 4 | no | — |
| 851 | #117 | — | 2 | 8 | no | — |
| 852 | #117 | — | 2 | 8 | no | — |
| 853 | #117 | — | 2 | 4 | no | — |
| 854 | #117 | — | 2 | 2 | no | — |
| 855 | #117 | — | 2 | 4 | no | — |
| 856 | #117 | C2×D4 | 1 | 2 | yes | — |
| 857 | #117 | C2×D4 | 1 | 4 | yes | — |
| 858 | #117 | C24 | 1 | 4 | yes | — |
| 859 | #117 | C24 | 1 | 2 | yes | — |
| 860 | #117 | C24 | 1 | 4 | yes | — |
| 861 | C2×C4⋊C4 | — | 2 | 4 | no | — |
| 862 | C2×C4⋊C4 | — | 2 | 8 | no | — |
| 863 | C2×C4⋊C4 | — | 2 | 8 | no | — |
| 864 | C2×C4⋊C4 | — | 2 | 4 | no | — |
| 865 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 866 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 867 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 868 | C2×C4⋊C4 | — | 2 | 4 | no | — |
| 869 | C2×C4⋊C4 | — | 2 | 8 | no | — |
| 870 | C2×C4⋊C4 | — | 2 | 4 | no | — |
| 871 | C2×C4⋊C4 | — | 2 | 4 | no | — |
| 872 | C2×C4⋊C4 | — | 2 | 8 | no | — |
| 873 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 874 | C2×C4⋊C4 | — | 2 | 4 | no | — |
| 875 | C2×C4⋊C4 | — | 2 | 4 | no | — |
| 876 | C2×C4⋊C4 | — | 2 | 8 | no | — |
| 877 | C2×C4⋊C4 | C2×D4 | 1 | 4 | yes | — |
| 878 | C2×C4⋊C4 | C24 | 1 | 4 | yes | — |
| 879 | C2×C4⋊C4 | C24 | 1 | 8 | yes | — |
| 880 | C2×C22⋊C4 | — | 2 | 8 | no | — |
| 881 | C2×C22⋊C4 | — | 2 | 8 | no | — |
| 882 | C2×C22⋊C4 | — | 2 | 4 | no | — |
| 883 | C2×C22⋊C4 | — | 2 | 4 | no | — |
| 884 | C2×C22⋊C4 | — | 2 | 8 | no | — |
| 885 | C2×C22⋊C4 | C2×D4 | 1 | 8 | yes | — |
| 886 | C2×C42 | — | 2 | 4 | no | — |
| 887 | C2×C42 | — | 2 | 2 | no | — |
| 888 | C2×C42 | C24 | 1 | 4 | yes | — |
| 889 | C2×C42 | C24 | 1 | 1 | yes | characteristic |
| 890 | #107 | C24 | 1 | 2 | yes | — |
| 891 | #107 | C24 | 1 | 4 | yes | — |
| 892 | #107 | C24 | 1 | 4 | yes | — |
| 893 | #106 | C24 | 1 | 4 | yes | — |
| 894 | #106 | C24 | 1 | 4 | yes | — |
| 895 | #106 | C24 | 1 | 4 | yes | — |
| 896 | #106 | C24 | 1 | 1 | yes | characteristic |
| 897 | #106 | C24 | 1 | 1 | yes | characteristic |
| 898 | #106 | C24 | 1 | 4 | yes | — |
| 899 | #106 | C24 | 1 | 4 | yes | — |
| 900 | #106 | C24 | 1 | 4 | yes | — |
| 901 | C4⋊C8 | C24 | 1 | 2 | yes | — |
| 902 | C4⋊C8 | C24 | 1 | 4 | yes | — |
| 903 | C4⋊C8 | C24 | 1 | 8 | yes | — |
| 904 | C4⋊C8 | C24 | 1 | 4 | yes | — |
| 905 | C4⋊C8 | C24 | 1 | 2 | yes | — |
| 906 | C4⋊C8 | C24 | 1 | 4 | yes | — |
| 907 | #103 | C24 | 1 | 4 | yes | — |
| 908 | #103 | C24 | 1 | 4 | yes | — |
| 909 | #103 | C24 | 1 | 8 | yes | — |
| 910 | #103 | C24 | 1 | 8 | yes | — |
| 911 | #103 | C24 | 1 | 2 | yes | — |
| 912 | #103 | C24 | 1 | 2 | yes | — |
| 913 | #103 | C24 | 1 | 4 | yes | — |
| 914 | #103 | C24 | 1 | 8 | yes | — |
| 915 | #103 | C24 | 1 | 8 | yes | — |
| 916 | #103 | C24 | 1 | 4 | yes | — |
| 917 | #103 | C24 | 1 | 4 | yes | — |
| 918 | #103 | C24 | 1 | 8 | yes | — |
| 919 | #103 | C24 | 1 | 8 | yes | — |
| 920 | #103 | C24 | 1 | 8 | yes | — |
| 921 | #103 | C24 | 1 | 4 | yes | — |
| 922 | #102 | C24 | 1 | 2 | yes | — |
| 923 | #102 | C24 | 1 | 2 | yes | — |
| 924 | #102 | C24 | 1 | 4 | yes | — |
| 925 | #102 | C24 | 1 | 4 | yes | — |
| 926 | #102 | C24 | 1 | 4 | yes | — |
| 927 | #102 | C24 | 1 | 8 | yes | — |
| 928 | #102 | C24 | 1 | 4 | yes | — |
| 929 | #102 | C24 | 1 | 4 | yes | — |
| 930 | #102 | C24 | 1 | 4 | yes | — |
| 931 | C22⋊C8 | C24 | 1 | 4 | yes | — |
| 932 | C22⋊C8 | C24 | 1 | 8 | yes | — |
| 933 | C22⋊C8 | C24 | 1 | 4 | yes | — |
| 934 | C22⋊C8 | C24 | 1 | 8 | yes | — |
| 935 | C22⋊C8 | C24 | 1 | 8 | yes | — |
| 936 | C22⋊C8 | C24 | 1 | 4 | yes | — |
| 937 | #97 | C24 | 1 | 4 | yes | — |
| 938 | #97 | C24 | 1 | 4 | yes | — |
| 939 | C4×C8 | C24 | 1 | 2 | yes | — |
| 940 | C4×C8 | C24 | 1 | 2 | yes | — |
| 941 | C4×C8 | C24 | 1 | 4 | yes | — |
| 942 | C4×C8 | C24 | 1 | 8 | yes | — |
| 943 | C24 | — | 2 | 4 | no | — |
| 944 | C24 | C22×D4 | 1 | 4 | yes | — |
| 945 | #41 | — | 2 | 16 | no | — |
| 946 | #41 | — | 2 | 4 | no | — |
| 947 | #41 | — | 2 | 8 | no | — |
| 948 | #41 | — | 4 | 2 | no | — |
| 949 | #41 | — | 4 | 2 | no | — |
| 950 | #41 | — | 4 | 4 | no | — |
| 951 | #41 | — | 4 | 8 | no | — |
| 952 | #41 | — | 4 | 4 | no | — |
| 953 | #41 | — | 4 | 2 | no | — |
| 954 | #41 | — | 4 | 8 | no | — |
| 955 | #41 | — | 4 | 8 | no | — |
| 956 | #41 | — | 4 | 8 | no | — |
| 957 | #41 | — | 4 | 8 | no | — |
| 958 | #41 | — | 8 | 4 | no | — |
| 959 | #41 | — | 8 | 16 | no | — |
| 960 | #41 | — | 8 | 16 | no | — |
| 961 | #41 | — | 8 | 8 | no | — |
| 962 | #41 | — | 8 | 16 | no | — |
| 963 | #41 | — | 8 | 8 | no | — |
| 964 | C2×Q8 | — | 2 | 2 | no | — |
| 965 | C2×Q8 | — | 2 | 2 | no | — |
| 966 | C2×Q8 | — | 2 | 4 | no | — |
| 967 | C2×Q8 | — | 2 | 8 | no | — |
| 968 | C2×Q8 | — | 2 | 8 | no | — |
| 969 | C2×Q8 | — | 2 | 4 | no | — |
| 970 | C2×Q8 | — | 4 | 8 | no | — |
| 971 | C2×Q8 | — | 4 | 4 | no | — |
| 972 | C2×Q8 | — | 4 | 4 | no | — |
| 973 | C2×Q8 | — | 4 | 8 | no | — |
| 974 | C2×Q8 | — | 4 | 8 | no | — |
| 975 | C2×Q8 | — | 4 | 8 | no | — |
| 976 | C2×Q8 | — | 8 | 8 | no | — |
| 977 | C2×Q8 | — | 8 | 4 | no | — |
| 978 | C2×Q8 | C22×D4 | 1 | 2 | yes | — |
| 979 | C2×Q8 | C22×D4 | 1 | 2 | yes | — |
| 980 | C2×Q8 | C25 | 1 | 2 | yes | — |
| 981 | C2×Q8 | C25 | 1 | 8 | yes | — |
| 982 | C2×Q8 | C25 | 1 | 4 | yes | — |
| 983 | C2×D4 | — | 2 | 8 | no | — |
| 984 | C2×D4 | — | 2 | 4 | no | — |
| 985 | C2×D4 | — | 2 | 2 | no | — |
| 986 | C2×D4 | — | 2 | 8 | no | — |
| 987 | C2×D4 | — | 2 | 4 | no | — |
| 988 | C2×D4 | — | 2 | 8 | no | — |
| 989 | C2×D4 | — | 2 | 4 | no | — |
| 990 | C2×D4 | — | 2 | 8 | no | — |
| 991 | C2×D4 | — | 2 | 8 | no | — |
| 992 | C2×D4 | — | 2 | 2 | no | — |
| 993 | C2×D4 | — | 2 | 4 | no | — |
| 994 | C2×D4 | — | 2 | 2 | no | — |
| 995 | C2×D4 | — | 4 | 8 | no | — |
| 996 | C2×D4 | — | 4 | 4 | no | — |
| 997 | C2×D4 | — | 4 | 8 | no | — |
| 998 | C2×D4 | — | 8 | 16 | no | — |
| 999 | C2×D4 | C22×D4 | 1 | 2 | yes | — |
| 1000 | C2×D4 | C22×D4 | 1 | 4 | yes | — |
| 1001 | C2×D4 | C22×D4 | 1 | 4 | yes | — |
| 1002 | C2×D4 | C22×D4 | 1 | 8 | yes | — |
| 1003 | C2×D4 | C22×D4 | 1 | 2 | yes | — |
| 1004 | C2×D4 | C22×D4 | 1 | 4 | yes | — |
| 1005 | C2×D4 | C25 | 1 | 4 | yes | — |
| 1006 | C2×D4 | C25 | 1 | 2 | yes | — |
| 1007 | C22×C4 | — | 2 | 4 | no | — |
| 1008 | C22×C4 | — | 2 | 8 | no | — |
| 1009 | C22×C4 | — | 2 | 8 | no | — |
| 1010 | C22×C4 | — | 2 | 8 | no | — |
| 1011 | C22×C4 | — | 2 | 4 | no | — |
| 1012 | C22×C4 | — | 2 | 2 | no | — |
| 1013 | C22×C4 | — | 2 | 2 | no | — |
| 1014 | C22×C4 | — | 2 | 4 | no | — |
| 1015 | C22×C4 | — | 2 | 2 | no | — |
| 1016 | C22×C4 | — | 2 | 8 | no | — |
| 1017 | C22×C4 | — | 2 | 4 | no | — |
| 1018 | C22×C4 | — | 2 | 4 | no | — |
| 1019 | C22×C4 | — | 2 | 4 | no | — |
| 1020 | C22×C4 | — | 2 | 8 | no | — |
| 1021 | C22×C4 | — | 2 | 4 | no | — |
| 1022 | C22×C4 | — | 2 | 8 | no | — |
| 1023 | C22×C4 | — | 4 | 4 | no | — |
| 1024 | C22×C4 | — | 4 | 4 | no | — |
| 1025 | C22×C4 | — | 8 | 8 | no | — |
| 1026 | C22×C4 | — | 8 | 16 | no | — |
| 1027 | C22×C4 | C22×D4 | 1 | 2 | yes | — |
| 1028 | C22×C4 | C22×D4 | 1 | 4 | yes | — |
| 1029 | C22×C4 | C22×D4 | 1 | 4 | yes | — |
| 1030 | C22×C4 | C22×D4 | 1 | 8 | yes | — |
| 1031 | C22×C4 | C22×D4 | 1 | 4 | yes | — |
| 1032 | C22×C4 | C25 | 1 | 4 | yes | — |
| 1033 | C22×C4 | C25 | 1 | 1 | yes | characteristic |
| 1034 | C22×C4 | C25 | 1 | 4 | yes | — |
| 1035 | Q16 | — | 2 | 2 | no | — |
| 1036 | Q16 | — | 2 | 8 | no | — |
| 1037 | Q16 | — | 4 | 8 | no | — |
| 1038 | Q16 | — | 4 | 4 | no | — |
| 1039 | Q16 | — | 4 | 8 | no | — |
| 1040 | Q16 | — | 4 | 4 | no | — |
| 1041 | Q16 | — | 4 | 8 | no | — |
| 1042 | Q16 | — | 4 | 4 | no | — |
| 1043 | Q16 | — | 4 | 8 | no | — |
| 1044 | SD16 | — | 2 | 16 | no | — |
| 1045 | SD16 | — | 2 | 4 | no | — |
| 1046 | SD16 | — | 2 | 8 | no | — |
| 1047 | SD16 | — | 2 | 8 | no | — |
| 1048 | SD16 | — | 4 | 8 | no | — |
| 1049 | SD16 | — | 4 | 4 | no | — |
| 1050 | SD16 | — | 4 | 4 | no | — |
| 1051 | SD16 | — | 4 | 8 | no | — |
| 1052 | D8 | — | 2 | 8 | no | — |
| 1053 | D8 | — | 4 | 4 | no | — |
| 1054 | D8 | H(5,𝔽2) | 1 | 4 | yes | — |
| 1055 | M16 | — | 2 | 8 | no | — |
| 1056 | M16 | — | 4 | 8 | no | — |
| 1057 | M16 | — | 4 | 2 | no | — |
| 1058 | M16 | — | 4 | 4 | no | — |
| 1059 | M16 | — | 4 | 4 | no | — |
| 1060 | M16 | — | 4 | 4 | no | — |
| 1061 | C2×C8 | — | 2 | 8 | no | — |
| 1062 | C2×C8 | — | 2 | 2 | no | — |
| 1063 | C2×C8 | — | 4 | 4 | no | — |
| 1064 | C2×C8 | — | 4 | 1 | no | — |
| 1065 | C2×C8 | C25 | 1 | 4 | yes | — |
| 1066 | C2×C8 | C25 | 1 | 2 | yes | — |
| 1067 | C2×C8 | C25 | 1 | 1 | yes | characteristic |
| 1068 | C2×C8 | C25 | 1 | 4 | yes | — |
| 1069 | C2×C8 | C25 | 1 | 4 | yes | — |
| 1070 | C2×C8 | C25 | 1 | 1 | yes | characteristic |
| 1071 | C4⋊C4 | — | 2 | 2 | no | — |
| 1072 | C4⋊C4 | — | 2 | 4 | no | — |
| 1073 | C4⋊C4 | — | 2 | 4 | no | — |
| 1074 | C4⋊C4 | — | 2 | 8 | no | — |
| 1075 | C4⋊C4 | — | 2 | 4 | no | — |
| 1076 | C4⋊C4 | — | 2 | 8 | no | — |
| 1077 | C4⋊C4 | — | 2 | 8 | no | — |
| 1078 | C4⋊C4 | — | 2 | 8 | no | — |
| 1079 | C4⋊C4 | — | 2 | 4 | no | — |
| 1080 | C4⋊C4 | — | 2 | 4 | no | — |
| 1081 | C4⋊C4 | — | 2 | 4 | no | — |
| 1082 | C4⋊C4 | — | 2 | 2 | no | — |
| 1083 | C4⋊C4 | — | 2 | 8 | no | — |
| 1084 | C4⋊C4 | — | 2 | 2 | no | — |
| 1085 | C4⋊C4 | — | 2 | 8 | no | — |
| 1086 | C4⋊C4 | — | 2 | 4 | no | — |
| 1087 | C4⋊C4 | — | 2 | 4 | no | — |
| 1088 | C4⋊C4 | — | 2 | 8 | no | — |
| 1089 | C4⋊C4 | — | 2 | 8 | no | — |
| 1090 | C4⋊C4 | — | 2 | 8 | no | — |
| 1091 | C4⋊C4 | — | 2 | 8 | no | — |
| 1092 | C4⋊C4 | — | 2 | 4 | no | — |
| 1093 | C4⋊C4 | — | 2 | 4 | no | — |
| 1094 | C4⋊C4 | — | 2 | 4 | no | — |
| 1095 | C4⋊C4 | — | 2 | 4 | no | — |
| 1096 | C4⋊C4 | — | 2 | 2 | no | — |
| 1097 | C4⋊C4 | — | 2 | 4 | no | — |
| 1098 | C4⋊C4 | — | 2 | 4 | no | — |
| 1099 | C4⋊C4 | — | 2 | 4 | no | — |
| 1100 | C4⋊C4 | — | 2 | 4 | no | — |
| 1101 | C4⋊C4 | — | 2 | 2 | no | — |
| 1102 | C4⋊C4 | — | 2 | 2 | no | — |
| 1103 | C4⋊C4 | C22×D4 | 1 | 2 | yes | — |
| 1104 | C4⋊C4 | C22×D4 | 1 | 4 | yes | — |
| 1105 | C4⋊C4 | C22×D4 | 1 | 8 | yes | — |
| 1106 | C4⋊C4 | C22×D4 | 1 | 2 | yes | — |
| 1107 | C4⋊C4 | C22×D4 | 1 | 8 | yes | — |
| 1108 | C4⋊C4 | C22×D4 | 1 | 4 | yes | — |
| 1109 | C4⋊C4 | C22×D4 | 1 | 4 | yes | — |
| 1110 | C4⋊C4 | C25 | 1 | 4 | yes | — |
| 1111 | C4⋊C4 | C25 | 1 | 2 | yes | — |
| 1112 | C4⋊C4 | C25 | 1 | 4 | yes | — |
| 1113 | C4⋊C4 | C25 | 1 | 2 | yes | — |
| 1114 | C22⋊C4 | — | 2 | 4 | no | — |
| 1115 | C22⋊C4 | — | 2 | 8 | no | — |
| 1116 | C22⋊C4 | — | 2 | 4 | no | — |
| 1117 | C22⋊C4 | — | 2 | 8 | no | — |
| 1118 | C22⋊C4 | — | 2 | 4 | no | — |
| 1119 | C22⋊C4 | — | 2 | 8 | no | — |
| 1120 | C22⋊C4 | — | 2 | 8 | no | — |
| 1121 | C22⋊C4 | — | 2 | 8 | no | — |
| 1122 | C22⋊C4 | — | 2 | 4 | no | — |
| 1123 | C22⋊C4 | — | 2 | 4 | no | — |
| 1124 | C22⋊C4 | — | 2 | 2 | no | — |
| 1125 | C22⋊C4 | — | 2 | 2 | no | — |
| 1126 | C22⋊C4 | — | 2 | 4 | no | — |
| 1127 | C22⋊C4 | — | 2 | 4 | no | — |
| 1128 | C22⋊C4 | — | 2 | 8 | no | — |
| 1129 | C22⋊C4 | — | 2 | 8 | no | — |
| 1130 | C22⋊C4 | — | 2 | 4 | no | — |
| 1131 | C22⋊C4 | — | 2 | 4 | no | — |
| 1132 | C22⋊C4 | — | 2 | 4 | no | — |
| 1133 | C22⋊C4 | — | 2 | 2 | no | — |
| 1134 | C22⋊C4 | — | 2 | 4 | no | — |
| 1135 | C22⋊C4 | — | 2 | 8 | no | — |
| 1136 | C22⋊C4 | — | 2 | 4 | no | — |
| 1137 | C22⋊C4 | — | 2 | 4 | no | — |
| 1138 | C22⋊C4 | C22×D4 | 1 | 8 | yes | — |
| 1139 | C22⋊C4 | C22×D4 | 1 | 4 | yes | — |
| 1140 | C22⋊C4 | C22×D4 | 1 | 4 | yes | — |
| 1141 | C22⋊C4 | C22×D4 | 1 | 8 | yes | — |
| 1142 | C22⋊C4 | C22×D4 | 1 | 8 | yes | — |
| 1143 | C22⋊C4 | C22×D4 | 1 | 4 | yes | — |
| 1144 | C22⋊C4 | C22×D4 | 1 | 4 | yes | — |
| 1145 | C22⋊C4 | C22×D4 | 1 | 4 | yes | — |
| 1146 | C42 | — | 2 | 4 | no | — |
| 1147 | C42 | — | 2 | 2 | no | — |
| 1148 | C42 | — | 2 | 2 | no | — |
| 1149 | C42 | — | 2 | 4 | no | — |
| 1150 | C42 | — | 2 | 2 | no | — |
| 1151 | C42 | — | 2 | 4 | no | — |
| 1152 | C42 | — | 2 | 8 | no | — |
| 1153 | C42 | — | 2 | 8 | no | — |
| 1154 | C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 1155 | C42 | C22×D4 | 1 | 4 | yes | — |
| 1156 | C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 1157 | C42 | C22×D4 | 1 | 4 | yes | — |
| 1158 | C42 | C25 | 1 | 2 | yes | — |
| 1159 | C42 | C25 | 1 | 4 | yes | — |
| 1160 | C23 | — | 2 | 2 | no | — |
| 1161 | C23 | — | 2 | 4 | no | — |
| 1162 | C23 | — | 4 | 4 | no | — |
| 1163 | C23 | — | 4 | 8 | no | — |
| 1164 | C23 | — | 4 | 8 | no | — |
| 1165 | C23 | — | 4 | 8 | no | — |
| 1166 | C23 | — | 8 | 4 | no | — |
| 1167 | C23 | C23×D4 | 1 | 4 | yes | — |
| 1168 | C23 | C23×D4 | 1 | 4 | yes | — |
| 1169 | C23 | C23×D4 | 1 | 1 | yes | characteristic |
| 1170 | Q8 | — | 2 | 4 | no | — |
| 1171 | Q8 | — | 2 | 4 | no | — |
| 1172 | Q8 | — | 2 | 8 | no | — |
| 1173 | Q8 | — | 2 | 2 | no | — |
| 1174 | Q8 | — | 2 | 2 | no | — |
| 1175 | Q8 | — | 2 | 8 | no | — |
| 1176 | Q8 | — | 2 | 4 | no | — |
| 1177 | Q8 | — | 4 | 2 | no | — |
| 1178 | Q8 | — | 4 | 4 | no | — |
| 1179 | Q8 | — | 8 | 8 | no | — |
| 1180 | Q8 | — | 8 | 4 | no | — |
| 1181 | Q8 | — | 8 | 8 | no | — |
| 1182 | Q8 | — | 8 | 4 | no | — |
| 1183 | Q8 | — | 8 | 2 | no | — |
| 1184 | D4 | — | 2 | 4 | no | — |
| 1185 | D4 | — | 2 | 8 | no | — |
| 1186 | D4 | — | 2 | 4 | no | — |
| 1187 | D4 | — | 2 | 2 | no | — |
| 1188 | D4 | — | 2 | 4 | no | — |
| 1189 | D4 | — | 4 | 8 | no | — |
| 1190 | D4 | — | 4 | 4 | no | — |
| 1191 | D4 | — | 4 | 4 | no | — |
| 1192 | D4 | — | 4 | 2 | no | — |
| 1193 | D4 | — | 4 | 8 | no | — |
| 1194 | D4 | — | 4 | 8 | no | — |
| 1195 | D4 | — | 4 | 16 | no | — |
| 1196 | D4 | — | 4 | 4 | no | — |
| 1197 | D4 | — | 4 | 8 | no | — |
| 1198 | D4 | — | 4 | 4 | no | — |
| 1199 | D4 | — | 8 | 2 | no | — |
| 1200 | D4 | — | 8 | 8 | no | — |
| 1201 | D4 | — | 8 | 8 | no | — |
| 1202 | D4 | — | 8 | 4 | no | — |
| 1203 | D4 | — | 8 | 8 | no | — |
| 1204 | D4 | C2×H(5,𝔽2) | 1 | 4 | yes | — |
| 1205 | C2×C4 | — | 2 | 8 | no | — |
| 1206 | C2×C4 | — | 2 | 4 | no | — |
| 1207 | C2×C4 | — | 2 | 4 | no | — |
| 1208 | C2×C4 | — | 2 | 1 | no | — |
| 1209 | C2×C4 | — | 2 | 4 | no | — |
| 1210 | C2×C4 | — | 2 | 1 | no | — |
| 1211 | C2×C4 | — | 2 | 4 | no | — |
| 1212 | C2×C4 | — | 2 | 4 | no | — |
| 1213 | C2×C4 | — | 2 | 2 | no | — |
| 1214 | C2×C4 | — | 2 | 4 | no | — |
| 1215 | C2×C4 | — | 2 | 2 | no | — |
| 1216 | C2×C4 | — | 2 | 4 | no | — |
| 1217 | C2×C4 | — | 2 | 2 | no | — |
| 1218 | C2×C4 | — | 2 | 8 | no | — |
| 1219 | C2×C4 | — | 2 | 4 | no | — |
| 1220 | C2×C4 | — | 4 | 8 | no | — |
| 1221 | C2×C4 | — | 4 | 4 | no | — |
| 1222 | C2×C4 | — | 4 | 4 | no | — |
| 1223 | C2×C4 | — | 4 | 8 | no | — |
| 1224 | C2×C4 | — | 4 | 16 | no | — |
| 1225 | C2×C4 | — | 4 | 4 | no | — |
| 1226 | C2×C4 | — | 4 | 4 | no | — |
| 1227 | C2×C4 | — | 4 | 8 | no | — |
| 1228 | C2×C4 | — | 4 | 4 | no | — |
| 1229 | C2×C4 | — | 8 | 4 | no | — |
| 1230 | C2×C4 | — | 8 | 4 | no | — |
| 1231 | C2×C4 | — | 8 | 8 | no | — |
| 1232 | C2×C4 | — | 8 | 8 | no | — |
| 1233 | C2×C4 | — | 8 | 4 | no | — |
| 1234 | C2×C4 | — | 8 | 4 | no | — |
| 1235 | C2×C4 | — | 8 | 8 | no | — |
| 1236 | C2×C4 | — | 8 | 4 | no | — |
| 1237 | C2×C4 | — | 8 | 8 | no | — |
| 1238 | C2×C4 | — | 8 | 8 | no | — |
| 1239 | C2×C4 | C23×D4 | 1 | 4 | yes | — |
| 1240 | C2×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 1241 | C2×C4 | C23×D4 | 1 | 4 | yes | — |
| 1242 | C2×C4 | C23×D4 | 1 | 4 | yes | — |
| 1243 | C2×C4 | C23×D4 | 1 | 2 | yes | — |
| 1244 | C2×C4 | C23×D4 | 1 | 4 | yes | — |
| 1245 | C2×C4 | C23×D4 | 1 | 2 | yes | — |
| 1246 | C2×C4 | C26 | 1 | 1 | yes | characteristic |
| 1247 | C8 | — | 2 | 4 | no | — |
| 1248 | C8 | — | 2 | 1 | no | — |
| 1249 | C8 | — | 2 | 4 | no | — |
| 1250 | C8 | — | 2 | 2 | no | — |
| 1251 | C8 | — | 2 | 4 | no | — |
| 1252 | C8 | C2×H(5,𝔽2) | 1 | 2 | yes | — |
| 1253 | C22 | — | 2 | 4 | no | — |
| 1254 | C22 | — | 2 | 4 | no | — |
| 1255 | C22 | — | 2 | 1 | no | — |
| 1256 | C22 | — | 2 | 4 | no | — |
| 1257 | C22 | — | 2 | 4 | no | — |
| 1258 | C22 | — | 2 | 2 | no | — |
| 1259 | C22 | — | 2 | 4 | no | — |
| 1260 | C22 | — | 2 | 8 | no | — |
| 1261 | C22 | — | 4 | 2 | no | — |
| 1262 | C22 | — | 4 | 2 | no | — |
| 1263 | C22 | — | 4 | 4 | no | — |
| 1264 | C22 | — | 4 | 4 | no | — |
| 1265 | C22 | — | 4 | 4 | no | — |
| 1266 | C22 | — | 8 | 16 | no | — |
| 1267 | C22 | — | 16 | 4 | no | — |
| 1268 | C22 | C24×D4 | 1 | 1 | yes | characteristic |
| 1269 | C4 | — | 2 | 4 | no | — |
| 1270 | C4 | — | 2 | 4 | no | — |
| 1271 | C4 | — | 2 | 1 | no | — |
| 1272 | C4 | — | 2 | 2 | no | — |
| 1273 | C4 | — | 2 | 4 | no | — |
| 1274 | C4 | — | 2 | 4 | no | — |
| 1275 | C4 | — | 4 | 4 | no | — |
| 1276 | C4 | — | 4 | 8 | no | — |
| 1277 | C4 | — | 4 | 2 | no | — |
| 1278 | C4 | — | 4 | 4 | no | — |
| 1279 | C4 | — | 4 | 2 | no | — |
| 1280 | C4 | — | 4 | 2 | no | — |
| 1281 | C4 | — | 4 | 4 | no | — |
| 1282 | C4 | #3586 | 1 | 4 | yes | — |
| 1283 | C4 | C22×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 1284 | C4 | H(7,𝔽2) | 1 | 1 | yes | characteristic |
| 1285 | C2 | — | 4 | 1 | no | — |
| 1286 | C2 | — | 4 | 4 | no | — |
| 1287 | C2 | — | 4 | 4 | no | — |
| 1288 | C2 | — | 4 | 4 | no | — |
| 1289 | C2 | — | 8 | 4 | no | — |
| 1290 | C2 | D4×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 1291 | C2 | C2×#3586 | 1 | 2 | yes | — |
| subgroup | G/H | |
|---|---|---|
| center, socle | C22 | C24×D4 |
| commutator, Frattini, cosocle | C2×C4 | C26 |
| LCS | G ▷ C2×C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C22 ◁ #3481 ◁ G | |
| LECS | G ▷ C2×C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #63013 | C2 | semidirect |
| 2. #62464 | C2 | semidirect |
| 3. #62424 | C2 | semidirect |
| 4. #62331 | C2 | semidirect |
| 5. #62300 | C2 | semidirect |
| 6. #62284 | C2 | semidirect |
| 7. #62042 | C2 | semidirect |
| 8. #62034 | C2 | semidirect |
| 9. #62000 | C2 | semidirect |
| 10. #61996 | C2 | semidirect |
| 11. #61667 | C2 | semidirect |
| 12. #61655 | C2 | semidirect |
| 13. #61589 | C2 | semidirect |
| 14. #61586 | C2 | semidirect |
| 15. #61541 | C2 | semidirect |
| 16. #61448 | C2 | semidirect |
| 17. #61091 | C2 | semidirect |
| 18. #61067 | C2 | semidirect |
| 19. #61064 | C2 | semidirect |
| 20. #60317 | C2 | semidirect |
| 21. C2×#578 | C22 | semidirect |
| 22. C2×#575 | C22 | semidirect |
| 24. #3554 | C22 | semidirect |
| 25. #3552 | C22 | semidirect |
| 26. #3548 | C22 | semidirect |
| 28. #3541 | C22 | semidirect |
| 33. #3520 | C22 | semidirect |
| 35. #3515 | C22 | semidirect |
| 38. #3503 | C22 | semidirect |
| 39. #3501 | C22 | semidirect |
| 40. #3499 | C22 | semidirect |
| 42. #3489 | C22 | semidirect |
| 45. #3481 | C22 | semidirect |
| 47. D4×#41 | C22 | semidirect |
| 49. #3400 | C22 | semidirect |
| 50. #3398 | C22 | semidirect |
| 51. #3398 | C22 | semidirect |
| 52. #3395 | C22 | semidirect |
| 53. #3394 | C22 | semidirect |
| 54. #3384 | C22 | semidirect |
| 55. #3373 | C22 | semidirect |
| 56. #3372 | C22 | semidirect |
| 57. #3360 | C22 | semidirect |
| 58. #3359 | C22 | semidirect |
| 59. #3356 | C22 | semidirect |
| 60. #3350 | C22 | semidirect |
| 61. #3344 | C22 | semidirect |
| 62. #3335 | C22 | semidirect |
| 63. #3332 | C22 | semidirect |
| 65. #3331 | C22 | semidirect |
| 66. #3331 | C22 | semidirect |
| 67. #3331 | C22 | semidirect |
| 68. #3331 | C22 | semidirect |
| 69. #3331 | C22 | semidirect |
| 70. #3330 | C22 | semidirect |
| 71. #3328 | C22 | semidirect |
| 72. #3328 | C22 | semidirect |
| 73. #3327 | C22 | semidirect |
| 74. #3326 | C22 | semidirect |
| 75. #3324 | C22 | semidirect |
| 76. #3323 | C22 | semidirect |
| 77. #3316 | C22 | semidirect |
| 78. #3312 | C22 | semidirect |
| 79. #3311 | C22 | semidirect |
| 80. #3307 | C22 | semidirect |
| 81. #3299 | C22 | semidirect |
| 82. #3298 | C22 | semidirect |
| 83. D4×Q16 | C22 | semidirect |
| 84. #3284 | C22 | semidirect |
| 85. #3284 | C22 | semidirect |
| 86. #3283 | C22 | semidirect |
| 87. #3283 | C22 | semidirect |
| 88. #3278 | C22 | semidirect |
| 89. #3277 | C22 | semidirect |
| 91. #3276 | C22 | semidirect |
| 92. #3276 | C22 | semidirect |
| 93. #3276 | C22 | semidirect |
| 94. #3276 | C22 | semidirect |
| 95. #3276 | C22 | semidirect |
| 96. #3276 | C22 | semidirect |
| 97. #3276 | C22 | semidirect |
| 98. #3276 | C22 | semidirect |
| 99. #3275 | C22 | semidirect |
| 100. #3275 | C22 | semidirect |
| 102. #3272 | C22 | semidirect |
| 103. #3270 | C22 | semidirect |
| 104. #3270 | C22 | semidirect |
| 105. #3270 | C22 | semidirect |
| 106. #3269 | C22 | semidirect |
| 107. #3269 | C22 | semidirect |
| 108. #3267 | C22 | semidirect |
| 109. #3267 | C22 | semidirect |
| 110. #3267 | C22 | semidirect |
| 111. #3263 | C22 | semidirect |
| 112. #3261 | C22 | semidirect |
| 113. #3255 | C22 | semidirect |
| 114. #3255 | C22 | semidirect |
| 115. #3253 | C22 | semidirect |
| 116. #3252 | C22 | semidirect |
| 117. #3225 | C22 | semidirect |
| 118. #3223 | C22 | semidirect |
| 119. #3212 | C22 | semidirect |
| 120. #3210 | C22 | semidirect |
| 121. #3209 | C22 | semidirect |
| 122. #3209 | C22 | semidirect |
| 123. #3209 | C22 | semidirect |
| 124. #3206 | C22 | semidirect |
| 125. #3204 | C22 | semidirect |
| 126. #3201 | C22 | semidirect |
| 127. #3197 | C22 | semidirect |
| 128. #3196 | C22 | semidirect |
| 129. #3195 | C22 | semidirect |
| 130. #3195 | C22 | semidirect |
| 131. #3185 | C22 | semidirect |
| 132. #3178 | C22 | semidirect |
| 133. #3172 | C22 | semidirect |
| 134. #3167 | C22 | semidirect |
| 135. #3156 | C22 | semidirect |
| 136. #3152 | C22 | semidirect |
| 137. C2×#494 | C22 | semidirect |
| 138. #3125 | C22 | semidirect |
| 139. #3120 | C22 | semidirect |
| 140. #3107 | C22 | semidirect |
| 141. #3107 | C22 | semidirect |
| 142. #3106 | C22 | semidirect |
| 143. #3102 | C22 | semidirect |
| 144. #3101 | C22 | semidirect |
| 145. #3101 | C22 | semidirect |
| 146. #3060 | C22 | semidirect |
| 147. #3059 | C22 | semidirect |
| 148. #3056 | C22 | semidirect |
| 149. C2×#470 | C22 | semidirect |
| 150. #3046 | C22 | semidirect |
| 151. #3039 | C22 | semidirect |
| 152. #3039 | C22 | semidirect |
| 153. #3036 | C22 | semidirect |
| 154. #3013 | C22 | semidirect |
| 155. #3011 | C22 | semidirect |
| 156. #3007 | C22 | semidirect |
| 157. #3007 | C22 | semidirect |
| 158. #3005 | C22 | semidirect |
| 159. #2993 | C22 | semidirect |
| 160. #2991 | C22 | semidirect |
| 161. #2979 | C22 | semidirect |
| 162. #2978 | C22 | semidirect |
| 163. #2975 | C22 | semidirect |
| 164. #2969 | C22 | semidirect |
| 165. #2965 | C22 | semidirect |
| 166. #2952 | C22 | semidirect |
| 167. C4×AGL(1,ℤ/8) | C22 | semidirect |
| 168. C4×#135 | C22 | semidirect |
| 169. D4×M16 | C22 | semidirect |
| 170. #2931 | C22 | semidirect |
| 171. #2930 | C22 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #63013 | 2 |
| #62464 | 2 |
| #62424 | 2 |
| #62331 | 2 |
| #62300 | 2 |
| #62284 | 2 |
| #62042 | 2 |
| #62034 | 2 |
| #62000 | 2 |
| #61996 | 2 |
| #61667 | 2 |
| #61655 | 2 |
| #61589 | 2 |
| #61586 | 2 |
| #61541 | 2 |
| #61448 | 2 |
| #61091 | 2 |
| #61067 | 2 |
| #61064 | 2 |
| #60317 | 2 |