Finite Group DatabasebetaFinite Group DatabasebetaOrder 512.
6849 conjugacy classes of subgroups.
The subgroup lattice has 1333 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #63014 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #62463 | C2 | 1 | 4 | yes | maximal, complemented |
| 3 | #62423 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #62331 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #62299 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | #62283 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #62045 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #62037 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #62001 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #61997 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #61668 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #61653 | C2 | 1 | 8 | yes | maximal, complemented |
| 13 | #61590 | C2 | 1 | 4 | yes | maximal, complemented |
| 14 | #61587 | C2 | 1 | 4 | yes | maximal, complemented |
| 15 | #61546 | C2 | 1 | 4 | yes | maximal, complemented |
| 16 | #61450 | C2 | 1 | 2 | yes | maximal, complemented |
| 17 | #61089 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 18 | #61070 | C2 | 1 | 4 | yes | maximal, complemented |
| 19 | #61063 | C2 | 1 | 4 | yes | maximal, complemented |
| 20 | #60317 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 21 | C2×#576 | C22 | 1 | 2 | yes | complemented |
| 22 | C2×#575 | C22 | 1 | 4 | yes | complemented |
| 23 | #3548 | — | 2 | 2 | no | — |
| 24 | #3548 | C22 | 1 | 2 | yes | complemented |
| 25 | #3546 | — | 2 | 4 | no | — |
| 26 | #3546 | C22 | 1 | 4 | yes | complemented |
| 27 | #3543 | — | 2 | 4 | no | — |
| 28 | #3543 | C22 | 1 | 4 | yes | complemented |
| 29 | #3542 | — | 2 | 8 | no | — |
| 30 | #3542 | C22 | 1 | 8 | yes | complemented |
| 31 | #3522 | C22 | 1 | 4 | yes | complemented |
| 32 | #3519 | — | 2 | 4 | no | — |
| 33 | #3519 | C22 | 1 | 4 | yes | complemented |
| 34 | #3517 | C22 | 1 | 4 | yes | complemented |
| 35 | #3508 | — | 2 | 2 | no | — |
| 36 | #3508 | C22 | 1 | 2 | yes | complemented |
| 37 | #3498 | — | 2 | 2 | no | — |
| 38 | #3498 | C22 | 1 | 2 | yes | complemented |
| 39 | #3498 | C22 | 1 | 2 | yes | complemented |
| 40 | #3496 | — | 2 | 4 | no | — |
| 41 | #3496 | C22 | 1 | 4 | yes | complemented |
| 42 | #3488 | C22 | 1 | 8 | yes | complemented |
| 43 | #3483 | C22 | 1 | 2 | yes | complemented |
| 44 | #3482 | C22 | 1 | 2 | yes | complemented |
| 45 | #3481 | — | 2 | 2 | no | — |
| 46 | #3481 | C22 | 1 | 1 | yes | characteristic |
| 47 | D4×#41 | C22 | 1 | 4 | yes | complemented |
| 48 | C2×#550 | C22 | 1 | 4 | yes | complemented |
| 49 | #3399 | C22 | 1 | 4 | yes | complemented |
| 50 | #3399 | C22 | 1 | 4 | yes | complemented |
| 51 | #3397 | C22 | 1 | 2 | yes | complemented |
| 52 | #3394 | C22 | 1 | 4 | yes | complemented |
| 53 | #3391 | C22 | 1 | 4 | yes | complemented |
| 54 | #3387 | C22 | 1 | 2 | yes | complemented |
| 55 | #3369 | C22 | 1 | 2 | yes | complemented |
| 56 | #3368 | C22 | 1 | 2 | yes | complemented |
| 57 | #3365 | C22 | 1 | 4 | yes | complemented |
| 58 | #3362 | C22 | 1 | 4 | yes | complemented |
| 59 | #3354 | C22 | 1 | 2 | yes | complemented |
| 60 | #3348 | C22 | 1 | 4 | yes | complemented |
| 61 | #3345 | C22 | 1 | 8 | yes | complemented |
| 62 | #3335 | C22 | 1 | 4 | yes | complemented |
| 63 | #3333 | C22 | 1 | 4 | yes | complemented |
| 64 | #3332 | C22 | 1 | 2 | yes | complemented |
| 65 | #3332 | C22 | 1 | 4 | yes | complemented |
| 66 | #3332 | C22 | 1 | 8 | yes | complemented |
| 67 | #3332 | C22 | 1 | 4 | yes | complemented |
| 68 | #3332 | C22 | 1 | 8 | yes | complemented |
| 69 | #3332 | C22 | 1 | 4 | yes | complemented |
| 70 | #3331 | C22 | 1 | 4 | yes | complemented |
| 71 | #3329 | C22 | 1 | 2 | yes | complemented |
| 72 | #3326 | C22 | 1 | 8 | yes | complemented |
| 73 | #3325 | C22 | 1 | 8 | yes | complemented |
| 74 | #3325 | C22 | 1 | 4 | yes | complemented |
| 75 | #3323 | C22 | 1 | 8 | yes | complemented |
| 76 | #3322 | C22 | 1 | 8 | yes | complemented |
| 77 | #3321 | C22 | 1 | 4 | yes | complemented |
| 78 | #3318 | C22 | 1 | 8 | yes | complemented |
| 79 | #3317 | C22 | 1 | 4 | yes | complemented |
| 80 | #3306 | C22 | 1 | 8 | yes | complemented |
| 81 | #3295 | C22 | 1 | 4 | yes | complemented |
| 82 | #3294 | C22 | 1 | 4 | yes | complemented |
| 83 | #3287 | C22 | 1 | 4 | yes | complemented |
| 84 | #3287 | C22 | 1 | 4 | yes | complemented |
| 85 | #3284 | C22 | 1 | 4 | yes | complemented |
| 86 | #3284 | C22 | 1 | 4 | yes | complemented |
| 87 | D4×D8 | C22 | 1 | 4 | yes | complemented |
| 88 | #3278 | C22 | 1 | 2 | yes | complemented |
| 89 | #3278 | C22 | 1 | 4 | yes | complemented |
| 90 | #3275 | C22 | 1 | 8 | yes | complemented |
| 91 | #3275 | C22 | 1 | 8 | yes | complemented |
| 92 | #3274 | C22 | 1 | 8 | yes | complemented |
| 93 | #3274 | C22 | 1 | 4 | yes | complemented |
| 94 | #3274 | C22 | 1 | 8 | yes | complemented |
| 95 | #3274 | C22 | 1 | 4 | yes | complemented |
| 96 | #3274 | C22 | 1 | 4 | yes | complemented |
| 97 | #3274 | C22 | 1 | 4 | yes | complemented |
| 98 | #3274 | C22 | 1 | 4 | yes | complemented |
| 99 | #3274 | C22 | 1 | 8 | yes | complemented |
| 100 | #3274 | C22 | 1 | 4 | yes | complemented |
| 101 | #3273 | C22 | 1 | 8 | yes | complemented |
| 102 | #3272 | C22 | 1 | 4 | yes | complemented |
| 103 | #3271 | C22 | 1 | 4 | yes | complemented |
| 104 | #3271 | C22 | 1 | 8 | yes | complemented |
| 105 | #3271 | C22 | 1 | 8 | yes | complemented |
| 106 | #3268 | C22 | 1 | 8 | yes | complemented |
| 107 | #3268 | C22 | 1 | 8 | yes | complemented |
| 108 | #3264 | C22 | 1 | 8 | yes | complemented |
| 109 | #3264 | C22 | 1 | 8 | yes | complemented |
| 110 | #3264 | C22 | 1 | 8 | yes | complemented |
| 111 | #3263 | C22 | 1 | 4 | yes | complemented |
| 112 | #3259 | C22 | 1 | 4 | yes | complemented |
| 113 | #3255 | C22 | 1 | 1 | yes | characteristic, complemented |
| 114 | #3253 | C22 | 1 | 1 | yes | characteristic, complemented |
| 115 | #3253 | C22 | 1 | 4 | yes | complemented |
| 116 | #3251 | C22 | 1 | 4 | yes | complemented |
| 117 | #3224 | C22 | 1 | 8 | yes | complemented |
| 118 | #3220 | C22 | 1 | 8 | yes | complemented |
| 119 | #3212 | C22 | 1 | 4 | yes | complemented |
| 120 | #3208 | C22 | 1 | 2 | yes | complemented |
| 121 | #3207 | C22 | 1 | 4 | yes | complemented |
| 122 | #3205 | C22 | 1 | 4 | yes | complemented |
| 123 | #3205 | C22 | 1 | 2 | yes | complemented |
| 124 | #3205 | C22 | 1 | 4 | yes | complemented |
| 125 | #3204 | C22 | 1 | 4 | yes | complemented |
| 126 | #3198 | C22 | 1 | 8 | yes | complemented |
| 127 | #3197 | C22 | 1 | 4 | yes | complemented |
| 128 | #3194 | C22 | 1 | 8 | yes | complemented |
| 129 | #3192 | C22 | 1 | 4 | yes | complemented |
| 130 | #3192 | C22 | 1 | 8 | yes | complemented |
| 131 | #3184 | C22 | 1 | 4 | yes | complemented |
| 132 | #3179 | C22 | 1 | 8 | yes | complemented |
| 133 | #3171 | C22 | 1 | 4 | yes | complemented |
| 134 | #3167 | C22 | 1 | 2 | yes | complemented |
| 135 | #3155 | C22 | 1 | 4 | yes | complemented |
| 136 | #3151 | C22 | 1 | 4 | yes | complemented |
| 137 | C2×#493 | C22 | 1 | 1 | yes | characteristic, complemented |
| 138 | #3125 | C22 | 1 | 8 | yes | complemented |
| 139 | #3119 | C22 | 1 | 8 | yes | complemented |
| 140 | #3107 | C22 | 1 | 2 | yes | complemented |
| 141 | #3106 | C22 | 1 | 2 | yes | complemented |
| 142 | #3106 | C22 | 1 | 4 | yes | complemented |
| 143 | #3103 | C22 | 1 | 4 | yes | complemented |
| 144 | #3103 | C22 | 1 | 4 | yes | complemented |
| 145 | #3102 | C22 | 1 | 4 | yes | complemented |
| 146 | #3060 | C22 | 1 | 4 | yes | complemented |
| 147 | #3058 | C22 | 1 | 2 | yes | complemented |
| 148 | #3055 | C22 | 1 | 8 | yes | complemented |
| 149 | C2×#469 | C22 | 1 | 4 | yes | complemented |
| 150 | #3045 | C22 | 1 | 8 | yes | complemented |
| 151 | #3038 | C22 | 1 | 2 | yes | complemented |
| 152 | #3038 | C22 | 1 | 4 | yes | complemented |
| 153 | #3037 | C22 | 1 | 4 | yes | complemented |
| 154 | #3012 | C22 | 1 | 8 | yes | complemented |
| 155 | #3008 | C22 | 1 | 4 | yes | complemented |
| 156 | #3006 | C22 | 1 | 8 | yes | complemented |
| 157 | #3006 | 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×#137 | 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×H(5,𝔽2) | — | 2 | 2 | no | — |
| 173 | C2×H(5,𝔽2) | — | 2 | 4 | no | — |
| 174 | C2×H(5,𝔽2) | C23 | 1 | 4 | yes | — |
| 175 | C22×#41 | C23 | 1 | 8 | yes | — |
| 176 | #576 | — | 4 | 8 | no | — |
| 177 | #575 | — | 4 | 16 | no | — |
| 178 | C2×#137 | C23 | 1 | 4 | yes | — |
| 179 | C2×#137 | C23 | 1 | 8 | yes | — |
| 180 | C2×AGL(1,ℤ/8) | C23 | 1 | 8 | yes | — |
| 181 | C2×AGL(1,ℤ/8) | C23 | 1 | 8 | yes | — |
| 182 | C2×AGL(1,ℤ/8) | C23 | 1 | 8 | yes | — |
| 183 | C2×AGL(1,ℤ/8) | C23 | 1 | 4 | yes | — |
| 184 | C2×AGL(1,ℤ/8) | C23 | 1 | 8 | yes | — |
| 185 | C2×AGL(1,ℤ/8) | C23 | 1 | 8 | yes | — |
| 186 | C2×#135 | C23 | 1 | 1 | yes | characteristic |
| 187 | C2×#135 | C23 | 1 | 4 | yes | — |
| 188 | C2×#135 | C23 | 1 | 4 | yes | — |
| 189 | C2×#135 | C23 | 1 | 8 | yes | — |
| 190 | C22×D8 | C23 | 1 | 2 | yes | — |
| 191 | C22×D8 | C23 | 1 | 4 | yes | — |
| 192 | C22×D8 | C23 | 1 | 2 | yes | — |
| 193 | C2×#131 | C23 | 1 | 2 | yes | — |
| 194 | C22×M16 | C23 | 1 | 4 | yes | — |
| 195 | #562 | — | 2 | 4 | no | — |
| 196 | #562 | — | 2 | 8 | no | — |
| 197 | #560 | — | 2 | 8 | no | — |
| 198 | #560 | — | 2 | 8 | no | — |
| 199 | #560 | — | 2 | 8 | no | — |
| 200 | #559 | — | 2 | 4 | no | — |
| 201 | #559 | — | 2 | 2 | no | — |
| 202 | #559 | D4 | 1 | 1 | yes | characteristic |
| 203 | #559 | C23 | 1 | 4 | yes | — |
| 204 | Q82 | C23 | 1 | 2 | yes | — |
| 205 | #557 | C23 | 1 | 2 | yes | — |
| 206 | #556 | — | 2 | 2 | no | — |
| 207 | #556 | C23 | 1 | 2 | yes | — |
| 208 | #555 | — | 2 | 2 | no | — |
| 209 | #555 | — | 2 | 4 | no | — |
| 210 | #555 | C23 | 1 | 2 | yes | — |
| 211 | #555 | C23 | 1 | 4 | yes | — |
| 212 | #554 | — | 2 | 2 | no | — |
| 213 | #554 | — | 2 | 4 | no | — |
| 214 | #554 | D4 | 1 | 2 | yes | — |
| 215 | #554 | C23 | 1 | 4 | yes | — |
| 216 | #553 | — | 2 | 8 | no | — |
| 217 | #553 | — | 2 | 4 | no | — |
| 218 | #553 | — | 2 | 4 | no | — |
| 219 | #553 | D4 | 1 | 4 | yes | — |
| 220 | #553 | C23 | 1 | 8 | yes | — |
| 221 | #552 | — | 2 | 4 | no | — |
| 222 | #552 | C23 | 1 | 4 | yes | — |
| 223 | #551 | — | 2 | 8 | no | — |
| 224 | #551 | D4 | 1 | 4 | yes | — |
| 225 | #550 | — | 2 | 2 | no | — |
| 226 | #550 | — | 2 | 2 | no | — |
| 227 | #550 | — | 2 | 4 | no | — |
| 228 | #550 | — | 2 | 2 | no | — |
| 229 | #550 | — | 2 | 4 | no | — |
| 230 | #550 | — | 2 | 8 | no | — |
| 231 | #550 | — | 2 | 4 | no | — |
| 232 | #550 | — | 2 | 2 | no | — |
| 233 | #550 | C23 | 1 | 2 | yes | — |
| 234 | #550 | C23 | 1 | 8 | yes | — |
| 235 | #550 | C23 | 1 | 4 | yes | — |
| 236 | #550 | C23 | 1 | 4 | yes | — |
| 237 | #550 | C23 | 1 | 8 | yes | — |
| 238 | #550 | C23 | 1 | 4 | yes | — |
| 239 | #550 | C23 | 1 | 4 | yes | — |
| 240 | #550 | C23 | 1 | 4 | yes | — |
| 241 | #550 | C23 | 1 | 4 | yes | — |
| 242 | #550 | C23 | 1 | 2 | yes | — |
| 243 | D4×Q8 | C23 | 1 | 2 | yes | — |
| 244 | #548 | C23 | 1 | 8 | yes | — |
| 245 | #548 | C23 | 1 | 4 | yes | — |
| 246 | #547 | — | 2 | 2 | no | — |
| 247 | #547 | — | 2 | 8 | no | — |
| 248 | #547 | — | 2 | 4 | no | — |
| 249 | #547 | — | 2 | 4 | no | — |
| 250 | #547 | C23 | 1 | 4 | yes | — |
| 251 | #547 | C23 | 1 | 2 | yes | — |
| 252 | #547 | C23 | 1 | 4 | yes | — |
| 253 | #547 | C23 | 1 | 8 | yes | — |
| 254 | #546 | — | 2 | 4 | no | — |
| 255 | #546 | — | 2 | 8 | no | — |
| 256 | #546 | — | 2 | 8 | no | — |
| 257 | #546 | — | 2 | 4 | no | — |
| 258 | #546 | — | 2 | 8 | no | — |
| 259 | #546 | — | 2 | 4 | no | — |
| 260 | #546 | — | 2 | 4 | no | — |
| 261 | #546 | — | 2 | 4 | no | — |
| 262 | #546 | — | 2 | 8 | no | — |
| 263 | #546 | — | 2 | 8 | no | — |
| 264 | #546 | — | 2 | 8 | no | — |
| 265 | #546 | D4 | 1 | 4 | yes | — |
| 266 | #546 | C23 | 1 | 8 | yes | — |
| 267 | #546 | C23 | 1 | 8 | yes | — |
| 268 | #546 | C23 | 1 | 8 | yes | — |
| 269 | D42 | — | 2 | 4 | no | — |
| 270 | D42 | — | 2 | 4 | no | — |
| 271 | D42 | — | 2 | 4 | no | — |
| 272 | D42 | — | 2 | 4 | no | — |
| 273 | D42 | — | 2 | 4 | no | — |
| 274 | D42 | — | 2 | 8 | no | — |
| 275 | D42 | — | 2 | 8 | no | — |
| 276 | D42 | — | 2 | 2 | no | — |
| 277 | D42 | — | 2 | 4 | no | — |
| 278 | D42 | D4 | 1 | 1 | yes | characteristic |
| 279 | D42 | C23 | 1 | 4 | yes | — |
| 280 | D42 | C23 | 1 | 8 | yes | — |
| 281 | D42 | C23 | 1 | 8 | yes | — |
| 282 | D42 | C23 | 1 | 4 | yes | — |
| 283 | D42 | C23 | 1 | 4 | yes | — |
| 284 | #542 | — | 2 | 8 | no | — |
| 285 | #542 | C23 | 1 | 8 | yes | — |
| 286 | #540 | — | 2 | 4 | no | — |
| 287 | #540 | — | 2 | 8 | no | — |
| 288 | #540 | — | 2 | 8 | no | — |
| 289 | #540 | — | 2 | 4 | no | — |
| 290 | #540 | — | 2 | 4 | no | — |
| 291 | #540 | — | 2 | 4 | no | — |
| 292 | #540 | C23 | 1 | 8 | yes | — |
| 293 | #538 | — | 2 | 8 | no | — |
| 294 | #538 | — | 2 | 8 | no | — |
| 295 | #538 | — | 2 | 8 | no | — |
| 296 | #537 | — | 2 | 8 | no | — |
| 297 | #537 | — | 2 | 4 | no | — |
| 298 | #537 | — | 2 | 4 | no | — |
| 299 | #537 | — | 2 | 4 | no | — |
| 300 | #537 | C23 | 1 | 8 | yes | — |
| 301 | #535 | — | 2 | 2 | no | — |
| 302 | #535 | — | 2 | 4 | no | — |
| 303 | #535 | — | 2 | 4 | no | — |
| 304 | #535 | — | 2 | 8 | no | — |
| 305 | #535 | — | 2 | 4 | no | — |
| 306 | #535 | — | 2 | 8 | no | — |
| 307 | #535 | — | 2 | 4 | no | — |
| 308 | #535 | — | 2 | 2 | no | — |
| 309 | #535 | C23 | 1 | 8 | yes | — |
| 310 | #535 | C23 | 1 | 4 | yes | — |
| 311 | #534 | — | 2 | 8 | no | — |
| 312 | #534 | — | 2 | 8 | no | — |
| 313 | #534 | — | 2 | 8 | no | — |
| 314 | #533 | — | 2 | 2 | no | — |
| 315 | #533 | C23 | 1 | 2 | yes | — |
| 316 | #532 | — | 2 | 2 | no | — |
| 317 | #532 | — | 2 | 4 | no | — |
| 318 | #532 | — | 2 | 4 | no | — |
| 319 | #532 | — | 2 | 4 | no | — |
| 320 | #532 | — | 2 | 4 | no | — |
| 321 | #532 | — | 2 | 2 | no | — |
| 322 | #532 | C23 | 1 | 4 | yes | — |
| 323 | #532 | C23 | 1 | 4 | yes | — |
| 324 | #532 | C23 | 1 | 4 | yes | — |
| 325 | #532 | C23 | 1 | 2 | yes | — |
| 326 | #532 | C23 | 1 | 4 | yes | — |
| 327 | #532 | C23 | 1 | 1 | yes | characteristic |
| 328 | C2×#127 | — | 2 | 4 | no | — |
| 329 | C2×#127 | — | 2 | 2 | no | — |
| 330 | C2×#127 | C23 | 1 | 2 | yes | — |
| 331 | C2×#127 | C23 | 1 | 4 | yes | — |
| 332 | #529 | — | 2 | 4 | no | — |
| 333 | #529 | — | 2 | 4 | no | — |
| 334 | #529 | — | 2 | 4 | no | — |
| 335 | #529 | C23 | 1 | 4 | yes | — |
| 336 | #529 | C23 | 1 | 4 | yes | — |
| 337 | #525 | — | 2 | 8 | no | — |
| 338 | #525 | — | 2 | 8 | no | — |
| 339 | #525 | C23 | 1 | 8 | yes | — |
| 340 | #525 | C23 | 1 | 4 | yes | — |
| 341 | C2×#121 | — | 2 | 8 | no | — |
| 342 | C2×#121 | — | 2 | 8 | no | — |
| 343 | C2×#121 | C23 | 1 | 8 | yes | — |
| 344 | C2×#121 | C23 | 1 | 8 | yes | — |
| 345 | #520 | C23 | 1 | 8 | yes | — |
| 346 | #518 | — | 2 | 4 | no | — |
| 347 | #518 | — | 2 | 2 | no | — |
| 348 | C4×#41 | — | 2 | 2 | no | — |
| 349 | C4×#41 | — | 2 | 2 | no | — |
| 350 | C4×#41 | C23 | 1 | 4 | yes | — |
| 351 | C4×#41 | C23 | 1 | 2 | yes | — |
| 352 | C4×#41 | C23 | 1 | 2 | yes | — |
| 353 | C2×C4×Q8 | C23 | 1 | 4 | yes | — |
| 354 | C2×C4×D4 | — | 2 | 4 | no | — |
| 355 | C2×C4×D4 | — | 2 | 4 | no | — |
| 356 | C2×C4×D4 | C23 | 1 | 4 | yes | — |
| 357 | #501 | C23 | 1 | 4 | yes | — |
| 358 | #498 | C23 | 1 | 2 | yes | — |
| 359 | #496 | C23 | 1 | 4 | yes | — |
| 360 | #496 | C23 | 1 | 8 | yes | — |
| 361 | #496 | C23 | 1 | 8 | yes | — |
| 362 | #495 | C23 | 1 | 8 | yes | — |
| 363 | #493 | C23 | 1 | 4 | yes | — |
| 364 | #493 | C23 | 1 | 8 | yes | — |
| 365 | #493 | C23 | 1 | 4 | yes | — |
| 366 | #493 | C23 | 1 | 4 | yes | — |
| 367 | #492 | C23 | 1 | 4 | yes | — |
| 368 | #492 | C23 | 1 | 2 | yes | — |
| 369 | #490 | C23 | 1 | 4 | yes | — |
| 370 | #489 | C23 | 1 | 4 | yes | — |
| 371 | #488 | C23 | 1 | 8 | yes | — |
| 372 | #487 | C23 | 1 | 2 | yes | — |
| 373 | #486 | C23 | 1 | 2 | yes | — |
| 374 | #486 | C23 | 1 | 8 | yes | — |
| 375 | #486 | C23 | 1 | 4 | yes | — |
| 376 | #486 | C23 | 1 | 4 | yes | — |
| 377 | #485 | C23 | 1 | 4 | yes | — |
| 378 | #485 | C23 | 1 | 4 | yes | — |
| 379 | #483 | C23 | 1 | 8 | yes | — |
| 380 | #482 | C23 | 1 | 8 | yes | — |
| 381 | #482 | C23 | 1 | 4 | yes | — |
| 382 | #482 | C23 | 1 | 4 | yes | — |
| 383 | #481 | C23 | 1 | 4 | yes | — |
| 384 | #481 | C23 | 1 | 8 | yes | — |
| 385 | #481 | C23 | 1 | 8 | yes | — |
| 386 | #481 | C23 | 1 | 8 | yes | — |
| 387 | #481 | C23 | 1 | 4 | yes | — |
| 388 | #480 | C23 | 1 | 8 | yes | — |
| 389 | #479 | C23 | 1 | 4 | yes | — |
| 390 | #478 | C23 | 1 | 8 | yes | — |
| 391 | #478 | C23 | 1 | 4 | yes | — |
| 392 | #477 | C23 | 1 | 2 | yes | — |
| 393 | #476 | C23 | 1 | 4 | yes | — |
| 394 | #476 | C23 | 1 | 8 | yes | — |
| 395 | #476 | C23 | 1 | 2 | yes | — |
| 396 | #475 | C23 | 1 | 2 | yes | — |
| 397 | #475 | C23 | 1 | 4 | yes | — |
| 398 | #475 | C23 | 1 | 4 | yes | — |
| 399 | #475 | C23 | 1 | 4 | yes | — |
| 400 | #474 | C23 | 1 | 2 | yes | — |
| 401 | #470 | C23 | 1 | 4 | yes | — |
| 402 | #470 | C23 | 1 | 4 | yes | — |
| 403 | #469 | C23 | 1 | 8 | yes | — |
| 404 | #469 | C23 | 1 | 4 | yes | — |
| 405 | #469 | C23 | 1 | 4 | yes | — |
| 406 | #469 | C23 | 1 | 4 | yes | — |
| 407 | #469 | C23 | 1 | 8 | yes | — |
| 408 | #469 | C23 | 1 | 8 | yes | — |
| 409 | #469 | C23 | 1 | 8 | yes | — |
| 410 | #469 | C23 | 1 | 8 | yes | — |
| 411 | #469 | C23 | 1 | 4 | yes | — |
| 412 | #469 | C23 | 1 | 8 | yes | — |
| 413 | #469 | C23 | 1 | 4 | yes | — |
| 414 | #469 | C23 | 1 | 4 | yes | — |
| 415 | #468 | C23 | 1 | 4 | yes | — |
| 416 | #468 | C23 | 1 | 8 | yes | — |
| 417 | #468 | C23 | 1 | 4 | yes | — |
| 418 | #468 | C23 | 1 | 8 | yes | — |
| 419 | #466 | C23 | 1 | 8 | yes | — |
| 420 | #466 | 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 | #463 | C23 | 1 | 4 | yes | — |
| 429 | #463 | C23 | 1 | 8 | yes | — |
| 430 | #463 | C23 | 1 | 8 | yes | — |
| 431 | #463 | C23 | 1 | 8 | yes | — |
| 432 | #462 | C23 | 1 | 4 | yes | — |
| 433 | #462 | C23 | 1 | 2 | yes | — |
| 434 | #461 | C23 | 1 | 2 | yes | — |
| 435 | #460 | C23 | 1 | 4 | yes | — |
| 436 | #460 | C23 | 1 | 4 | yes | — |
| 437 | #460 | C23 | 1 | 4 | yes | — |
| 438 | #460 | C23 | 1 | 4 | yes | — |
| 439 | #460 | C23 | 1 | 4 | yes | — |
| 440 | #460 | C23 | 1 | 2 | yes | — |
| 441 | #460 | C23 | 1 | 8 | yes | — |
| 442 | #460 | C23 | 1 | 4 | yes | — |
| 443 | #459 | C23 | 1 | 2 | yes | — |
| 444 | #459 | C23 | 1 | 4 | yes | — |
| 445 | #459 | C23 | 1 | 8 | yes | — |
| 446 | #459 | C23 | 1 | 4 | yes | — |
| 447 | #459 | C23 | 1 | 4 | yes | — |
| 448 | #459 | C23 | 1 | 8 | yes | — |
| 449 | #459 | C23 | 1 | 4 | yes | — |
| 450 | #459 | C23 | 1 | 8 | yes | — |
| 451 | #459 | C23 | 1 | 8 | yes | — |
| 452 | #459 | C23 | 1 | 4 | yes | — |
| 453 | #452 | C23 | 1 | 8 | yes | — |
| 454 | #452 | C23 | 1 | 8 | yes | — |
| 455 | #452 | C23 | 1 | 4 | yes | — |
| 456 | #452 | C23 | 1 | 4 | yes | — |
| 457 | #452 | C23 | 1 | 8 | yes | — |
| 458 | #450 | C23 | 1 | 8 | yes | — |
| 459 | #450 | C23 | 1 | 8 | yes | — |
| 460 | #449 | C23 | 1 | 4 | yes | — |
| 461 | #449 | C23 | 1 | 8 | yes | — |
| 462 | #449 | C23 | 1 | 8 | yes | — |
| 463 | #449 | C23 | 1 | 8 | yes | — |
| 464 | #449 | C23 | 1 | 8 | yes | — |
| 465 | #449 | C23 | 1 | 8 | yes | — |
| 466 | #449 | C23 | 1 | 8 | yes | — |
| 467 | #449 | C23 | 1 | 8 | yes | — |
| 468 | #449 | C23 | 1 | 4 | yes | — |
| 469 | #449 | C23 | 1 | 8 | yes | — |
| 470 | #449 | C23 | 1 | 8 | yes | — |
| 471 | #449 | C23 | 1 | 8 | yes | — |
| 472 | #448 | C23 | 1 | 4 | yes | — |
| 473 | #448 | C23 | 1 | 4 | yes | — |
| 474 | #448 | C23 | 1 | 8 | yes | — |
| 475 | #447 | C23 | 1 | 8 | yes | — |
| 476 | #447 | C23 | 1 | 8 | yes | — |
| 477 | #447 | C23 | 1 | 8 | yes | — |
| 478 | #447 | C23 | 1 | 8 | yes | — |
| 479 | #447 | C23 | 1 | 8 | yes | — |
| 480 | #447 | C23 | 1 | 8 | yes | — |
| 481 | #447 | C23 | 1 | 8 | yes | — |
| 482 | #447 | 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 | 8 | yes | — |
| 487 | #442 | C23 | 1 | 8 | yes | — |
| 488 | #441 | C23 | 1 | 4 | yes | — |
| 489 | #441 | C23 | 1 | 4 | 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 | 2 | yes | — |
| 494 | C4×SD16 | C23 | 1 | 2 | yes | — |
| 495 | C4×SD16 | C23 | 1 | 4 | yes | — |
| 496 | C4×SD16 | C23 | 1 | 2 | yes | — |
| 497 | C4×SD16 | C23 | 1 | 4 | yes | — |
| 498 | C4×SD16 | C23 | 1 | 4 | yes | — |
| 499 | C4×SD16 | C23 | 1 | 8 | yes | — |
| 500 | C4×SD16 | C23 | 1 | 8 | yes | — |
| 501 | C4×SD16 | C23 | 1 | 4 | yes | — |
| 502 | C4×SD16 | C23 | 1 | 8 | yes | — |
| 503 | C4×D8 | C23 | 1 | 2 | yes | — |
| 504 | C4×D8 | C23 | 1 | 4 | yes | — |
| 505 | C4×D8 | C23 | 1 | 8 | yes | — |
| 506 | #436 | C23 | 1 | 2 | yes | — |
| 507 | #436 | C23 | 1 | 4 | yes | — |
| 508 | #436 | C23 | 1 | 4 | yes | — |
| 509 | #436 | C23 | 1 | 8 | yes | — |
| 510 | #436 | C23 | 1 | 4 | yes | — |
| 511 | #436 | C23 | 1 | 8 | yes | — |
| 512 | #436 | C23 | 1 | 2 | yes | — |
| 513 | #436 | C23 | 1 | 8 | 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 | 4 | yes | — |
| 531 | #418 | C23 | 1 | 8 | 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×#102 | 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 | H(5,𝔽2) | — | 4 | 8 | no | — |
| 547 | H(5,𝔽2) | — | 8 | 4 | no | — |
| 548 | H(5,𝔽2) | — | 8 | 16 | no | — |
| 549 | H(5,𝔽2) | — | 8 | 8 | no | — |
| 550 | C2×#41 | — | 2 | 2 | no | — |
| 551 | C2×#41 | — | 2 | 4 | no | — |
| 552 | C2×#41 | — | 2 | 4 | no | — |
| 553 | C2×#41 | — | 2 | 2 | no | — |
| 554 | C2×#41 | — | 2 | 8 | no | — |
| 555 | C2×#41 | — | 2 | 4 | no | — |
| 556 | C2×#41 | — | 2 | 8 | no | — |
| 557 | C2×#41 | — | 2 | 2 | no | — |
| 558 | C2×#41 | — | 2 | 4 | no | — |
| 559 | C2×#41 | — | 2 | 4 | no | — |
| 560 | C2×#41 | — | 2 | 4 | no | — |
| 561 | C2×#41 | — | 2 | 8 | no | — |
| 562 | C2×#41 | — | 4 | 16 | no | — |
| 563 | C2×#41 | — | 8 | 8 | no | — |
| 564 | C2×#41 | C2×D4 | 1 | 2 | yes | — |
| 565 | C2×#41 | C24 | 1 | 2 | yes | — |
| 566 | C2×#41 | C24 | 1 | 4 | yes | — |
| 567 | C2×#41 | C24 | 1 | 8 | yes | — |
| 568 | C2×#41 | C24 | 1 | 8 | yes | — |
| 569 | C2×#41 | C24 | 1 | 8 | yes | — |
| 570 | C2×#41 | C24 | 1 | 2 | yes | — |
| 571 | C22×Q8 | C24 | 1 | 4 | yes | — |
| 572 | C22×D4 | — | 2 | 8 | no | — |
| 573 | C22×D4 | — | 2 | 8 | no | — |
| 574 | C22×D4 | — | 2 | 8 | no | — |
| 575 | C22×D4 | — | 2 | 4 | no | — |
| 576 | C22×D4 | — | 2 | 4 | no | — |
| 577 | C22×D4 | — | 2 | 8 | no | — |
| 578 | C22×D4 | — | 2 | 8 | no | — |
| 579 | C22×D4 | — | 2 | 8 | no | — |
| 580 | C22×D4 | — | 2 | 4 | no | — |
| 581 | C22×D4 | — | 2 | 4 | no | — |
| 582 | C22×D4 | — | 2 | 4 | no | — |
| 583 | C22×D4 | — | 2 | 2 | no | — |
| 584 | C22×D4 | — | 2 | 4 | no | — |
| 585 | C22×D4 | — | 2 | 2 | no | — |
| 586 | C22×D4 | C2×D4 | 1 | 4 | yes | — |
| 587 | C22×D4 | C24 | 1 | 8 | yes | — |
| 588 | C22×D4 | C24 | 1 | 8 | yes | — |
| 589 | C22×D4 | C24 | 1 | 4 | yes | — |
| 590 | C23×C4 | — | 2 | 8 | no | — |
| 591 | C23×C4 | C24 | 1 | 4 | yes | — |
| 592 | #137 | — | 2 | 16 | no | — |
| 593 | #137 | — | 4 | 16 | no | — |
| 594 | AGL(1,ℤ/8) | — | 4 | 16 | no | — |
| 595 | AGL(1,ℤ/8) | — | 4 | 16 | no | — |
| 596 | AGL(1,ℤ/8) | — | 4 | 16 | no | — |
| 597 | AGL(1,ℤ/8) | — | 4 | 8 | no | — |
| 598 | AGL(1,ℤ/8) | — | 8 | 8 | no | — |
| 599 | AGL(1,ℤ/8) | — | 8 | 8 | no | — |
| 600 | #135 | — | 2 | 16 | no | — |
| 601 | #135 | — | 2 | 4 | no | — |
| 602 | #135 | — | 4 | 8 | no | — |
| 603 | #135 | — | 4 | 16 | no | — |
| 604 | C2×Q16 | C24 | 1 | 4 | yes | — |
| 605 | C2×Q16 | C24 | 1 | 4 | yes | — |
| 606 | C2×Q16 | C24 | 1 | 1 | yes | characteristic |
| 607 | C2×SD16 | C24 | 1 | 4 | yes | — |
| 608 | C2×SD16 | C24 | 1 | 4 | yes | — |
| 609 | C2×SD16 | C24 | 1 | 2 | yes | — |
| 610 | C2×SD16 | C24 | 1 | 8 | yes | — |
| 611 | C2×SD16 | C24 | 1 | 8 | yes | — |
| 612 | C2×SD16 | C24 | 1 | 4 | yes | — |
| 613 | C2×SD16 | C24 | 1 | 8 | yes | — |
| 614 | C2×SD16 | C24 | 1 | 4 | yes | — |
| 615 | C2×D8 | — | 4 | 8 | no | — |
| 616 | C2×D8 | — | 4 | 4 | no | — |
| 617 | C2×D8 | — | 8 | 2 | no | — |
| 618 | C2×D8 | C24 | 1 | 1 | yes | characteristic |
| 619 | C2×D8 | C24 | 1 | 4 | yes | — |
| 620 | C2×D8 | C24 | 1 | 8 | yes | — |
| 621 | C2×D8 | C24 | 1 | 4 | yes | — |
| 622 | C2×D8 | C24 | 1 | 8 | yes | — |
| 623 | C2×D8 | C24 | 1 | 8 | yes | — |
| 624 | C2×D8 | C24 | 1 | 4 | yes | — |
| 625 | C2×D8 | C24 | 1 | 4 | yes | — |
| 626 | C2×D8 | C24 | 1 | 8 | yes | — |
| 627 | #131 | — | 4 | 4 | no | — |
| 628 | C2×M16 | — | 4 | 8 | no | — |
| 629 | C2×M16 | C24 | 1 | 4 | yes | — |
| 630 | C2×M16 | C24 | 1 | 8 | yes | — |
| 631 | C2×M16 | C24 | 1 | 4 | yes | — |
| 632 | C2×M16 | C24 | 1 | 2 | yes | — |
| 633 | C2×M16 | C24 | 1 | 4 | yes | — |
| 634 | C2×M16 | C24 | 1 | 4 | yes | — |
| 635 | C22×C8 | C24 | 1 | 4 | yes | — |
| 636 | C22×C8 | C24 | 1 | 1 | yes | characteristic |
| 637 | C22×C8 | C24 | 1 | 4 | yes | — |
| 638 | C22×C8 | C24 | 1 | 1 | yes | characteristic |
| 639 | C4⋊Q8 | — | 2 | 2 | no | — |
| 640 | C4⋊Q8 | — | 2 | 2 | no | — |
| 641 | C4⋊Q8 | — | 2 | 2 | no | — |
| 642 | C4⋊Q8 | — | 2 | 4 | no | — |
| 643 | C4⋊Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 644 | C4⋊Q8 | C24 | 1 | 2 | yes | — |
| 645 | C4⋊Q8 | C24 | 1 | 2 | yes | — |
| 646 | C4⋊Q8 | C24 | 1 | 2 | yes | — |
| 647 | C4⋊Q8 | C24 | 1 | 4 | yes | — |
| 648 | #127 | — | 2 | 4 | no | — |
| 649 | #127 | — | 2 | 2 | no | — |
| 650 | #127 | — | 2 | 4 | no | — |
| 651 | #127 | — | 2 | 4 | no | — |
| 652 | #127 | — | 2 | 8 | no | — |
| 653 | #127 | — | 2 | 8 | no | — |
| 654 | #127 | — | 2 | 4 | no | — |
| 655 | #127 | — | 2 | 4 | no | — |
| 656 | #127 | — | 2 | 4 | no | — |
| 657 | #127 | — | 2 | 2 | no | — |
| 658 | #127 | — | 2 | 2 | no | — |
| 659 | #127 | — | 2 | 4 | no | — |
| 660 | #127 | — | 2 | 4 | no | — |
| 661 | #127 | C2×D4 | 1 | 1 | yes | characteristic |
| 662 | #127 | C24 | 1 | 4 | yes | — |
| 663 | #127 | C24 | 1 | 2 | yes | — |
| 664 | #127 | C24 | 1 | 4 | yes | — |
| 665 | #127 | C24 | 1 | 8 | yes | — |
| 666 | #127 | C24 | 1 | 4 | yes | — |
| 667 | #126 | — | 2 | 8 | no | — |
| 668 | #126 | — | 2 | 4 | no | — |
| 669 | #126 | — | 2 | 8 | no | — |
| 670 | #126 | — | 2 | 4 | no | — |
| 671 | #126 | — | 2 | 4 | no | — |
| 672 | #126 | C2×D4 | 1 | 8 | yes | — |
| 673 | #125 | — | 2 | 4 | no | — |
| 674 | #125 | — | 2 | 4 | no | — |
| 675 | #125 | — | 2 | 4 | no | — |
| 676 | #125 | — | 2 | 2 | no | — |
| 677 | #125 | C2×D4 | 1 | 4 | yes | — |
| 678 | #125 | C24 | 1 | 4 | yes | — |
| 679 | #124 | — | 2 | 4 | no | — |
| 680 | #124 | — | 2 | 4 | no | — |
| 681 | #124 | — | 2 | 4 | no | — |
| 682 | #124 | — | 2 | 8 | no | — |
| 683 | #124 | — | 2 | 4 | no | — |
| 684 | #124 | — | 2 | 8 | no | — |
| 685 | #124 | — | 2 | 4 | no | — |
| 686 | #124 | — | 2 | 4 | no | — |
| 687 | #124 | — | 2 | 4 | no | — |
| 688 | #124 | — | 2 | 4 | no | — |
| 689 | #124 | — | 2 | 2 | no | — |
| 690 | #124 | — | 2 | 4 | no | — |
| 691 | #124 | C2×D4 | 1 | 4 | yes | — |
| 692 | #124 | C2×D4 | 1 | 2 | yes | — |
| 693 | #124 | C24 | 1 | 4 | yes | — |
| 694 | #124 | C24 | 1 | 8 | yes | — |
| 695 | #123 | — | 2 | 4 | no | — |
| 696 | #123 | — | 2 | 8 | no | — |
| 697 | #123 | — | 2 | 4 | no | — |
| 698 | #123 | — | 2 | 8 | no | — |
| 699 | #123 | — | 2 | 8 | no | — |
| 700 | #123 | — | 2 | 8 | no | — |
| 701 | #123 | — | 2 | 8 | no | — |
| 702 | #123 | — | 2 | 8 | no | — |
| 703 | #123 | — | 2 | 8 | no | — |
| 704 | #123 | — | 2 | 8 | no | — |
| 705 | #123 | — | 2 | 4 | no | — |
| 706 | #123 | — | 2 | 8 | no | — |
| 707 | #123 | — | 2 | 8 | no | — |
| 708 | #123 | — | 2 | 8 | no | — |
| 709 | #123 | — | 2 | 8 | no | — |
| 710 | #123 | — | 2 | 8 | no | — |
| 711 | #123 | C2×D4 | 1 | 4 | yes | — |
| 712 | #123 | C2×D4 | 1 | 4 | yes | — |
| 713 | #123 | C2×D4 | 1 | 8 | yes | — |
| 714 | C22⋊Q8 | — | 2 | 8 | no | — |
| 715 | C22⋊Q8 | — | 2 | 2 | no | — |
| 716 | C22⋊Q8 | — | 2 | 2 | no | — |
| 717 | C22⋊Q8 | — | 2 | 8 | no | — |
| 718 | C22⋊Q8 | — | 2 | 4 | no | — |
| 719 | C22⋊Q8 | — | 2 | 2 | no | — |
| 720 | C22⋊Q8 | — | 2 | 4 | no | — |
| 721 | C22⋊Q8 | — | 2 | 8 | no | — |
| 722 | C22⋊Q8 | — | 2 | 8 | no | — |
| 723 | C22⋊Q8 | — | 2 | 4 | no | — |
| 724 | C22⋊Q8 | — | 2 | 8 | no | — |
| 725 | C22⋊Q8 | C2×D4 | 1 | 8 | yes | — |
| 726 | C22⋊Q8 | C2×D4 | 1 | 4 | yes | — |
| 727 | C22⋊Q8 | C24 | 1 | 4 | yes | — |
| 728 | C22⋊Q8 | C24 | 1 | 8 | yes | — |
| 729 | C22⋊Q8 | C24 | 1 | 4 | yes | — |
| 730 | #121 | — | 2 | 4 | no | — |
| 731 | #121 | — | 2 | 8 | no | — |
| 732 | #121 | — | 2 | 8 | no | — |
| 733 | #121 | — | 2 | 4 | no | — |
| 734 | #121 | — | 2 | 4 | no | — |
| 735 | #121 | — | 2 | 2 | no | — |
| 736 | #121 | — | 2 | 8 | no | — |
| 737 | #121 | — | 2 | 8 | no | — |
| 738 | #121 | — | 2 | 8 | no | — |
| 739 | #121 | — | 2 | 8 | no | — |
| 740 | #121 | — | 2 | 8 | no | — |
| 741 | #121 | — | 2 | 8 | no | — |
| 742 | #121 | — | 2 | 8 | no | — |
| 743 | #121 | — | 2 | 4 | no | — |
| 744 | #121 | — | 2 | 4 | no | — |
| 745 | #121 | — | 2 | 4 | no | — |
| 746 | #121 | — | 2 | 4 | no | — |
| 747 | #121 | — | 2 | 4 | no | — |
| 748 | #121 | — | 2 | 2 | no | — |
| 749 | #121 | — | 2 | 8 | no | — |
| 750 | #121 | — | 2 | 8 | no | — |
| 751 | #121 | — | 2 | 4 | no | — |
| 752 | #121 | — | 2 | 4 | no | — |
| 753 | #121 | — | 2 | 4 | no | — |
| 754 | #121 | — | 2 | 4 | no | — |
| 755 | #121 | — | 2 | 2 | no | — |
| 756 | #121 | — | 2 | 4 | no | — |
| 757 | #121 | — | 2 | 8 | 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 | 8 | no | — |
| 764 | #121 | — | 2 | 8 | no | — |
| 765 | #121 | — | 2 | 8 | no | — |
| 766 | #121 | — | 2 | 8 | no | — |
| 767 | #121 | — | 2 | 8 | no | — |
| 768 | #121 | — | 2 | 8 | no | — |
| 769 | #121 | — | 2 | 8 | no | — |
| 770 | #121 | — | 2 | 8 | no | — |
| 771 | #121 | — | 2 | 8 | no | — |
| 772 | #121 | — | 2 | 4 | no | — |
| 773 | #121 | — | 2 | 8 | no | — |
| 774 | #121 | — | 2 | 8 | no | — |
| 775 | #121 | — | 2 | 8 | no | — |
| 776 | #121 | C2×D4 | 1 | 8 | yes | — |
| 777 | #121 | C2×D4 | 1 | 4 | yes | — |
| 778 | #121 | C2×D4 | 1 | 4 | yes | — |
| 779 | #121 | C24 | 1 | 4 | yes | — |
| 780 | #121 | C24 | 1 | 4 | yes | — |
| 781 | #121 | C24 | 1 | 8 | yes | — |
| 782 | #121 | C24 | 1 | 4 | yes | — |
| 783 | #121 | C24 | 1 | 8 | yes | — |
| 784 | #121 | C24 | 1 | 8 | yes | — |
| 785 | #121 | C24 | 1 | 8 | yes | — |
| 786 | #121 | C24 | 1 | 8 | yes | — |
| 787 | #121 | C24 | 1 | 4 | yes | — |
| 788 | #120 | — | 2 | 8 | no | — |
| 789 | #120 | — | 2 | 8 | no | — |
| 790 | #120 | — | 2 | 8 | no | — |
| 791 | #120 | — | 2 | 8 | no | — |
| 792 | #120 | — | 2 | 8 | no | — |
| 793 | #120 | — | 2 | 8 | no | — |
| 794 | #120 | — | 2 | 8 | no | — |
| 795 | #120 | — | 2 | 8 | no | — |
| 796 | #120 | — | 2 | 8 | no | — |
| 797 | #120 | — | 2 | 8 | no | — |
| 798 | #120 | — | 2 | 8 | no | — |
| 799 | #120 | — | 2 | 8 | no | — |
| 800 | #120 | — | 2 | 8 | no | — |
| 801 | #120 | — | 2 | 8 | no | — |
| 802 | #120 | C2×D4 | 1 | 4 | yes | — |
| 803 | #120 | C2×D4 | 1 | 4 | yes | — |
| 804 | C4×Q8 | — | 2 | 2 | no | — |
| 805 | C4×Q8 | — | 2 | 2 | no | — |
| 806 | C4×Q8 | — | 2 | 4 | no | — |
| 807 | C4×Q8 | — | 2 | 4 | no | — |
| 808 | C4×Q8 | — | 2 | 2 | no | — |
| 809 | C4×Q8 | C2×D4 | 1 | 2 | yes | — |
| 810 | C4×Q8 | C24 | 1 | 2 | yes | — |
| 811 | C4×Q8 | C24 | 1 | 4 | yes | — |
| 812 | C4×Q8 | C24 | 1 | 4 | yes | — |
| 813 | C4×Q8 | C24 | 1 | 4 | yes | — |
| 814 | C4×Q8 | C24 | 1 | 2 | yes | — |
| 815 | C4×Q8 | C24 | 1 | 4 | yes | — |
| 816 | C4×Q8 | C24 | 1 | 2 | yes | — |
| 817 | C4×D4 | — | 2 | 2 | no | — |
| 818 | C4×D4 | — | 2 | 4 | no | — |
| 819 | C4×D4 | — | 2 | 8 | no | — |
| 820 | C4×D4 | — | 2 | 4 | no | — |
| 821 | C4×D4 | — | 2 | 2 | no | — |
| 822 | C4×D4 | — | 2 | 2 | no | — |
| 823 | C4×D4 | — | 2 | 4 | no | — |
| 824 | C4×D4 | — | 2 | 4 | no | — |
| 825 | C4×D4 | — | 2 | 8 | no | — |
| 826 | C4×D4 | — | 2 | 2 | no | — |
| 827 | C4×D4 | — | 2 | 4 | no | — |
| 828 | C4×D4 | — | 2 | 8 | no | — |
| 829 | C4×D4 | — | 2 | 4 | no | — |
| 830 | C4×D4 | — | 2 | 4 | no | — |
| 831 | C4×D4 | — | 2 | 8 | no | — |
| 832 | C4×D4 | — | 2 | 4 | no | — |
| 833 | C4×D4 | — | 2 | 4 | no | — |
| 834 | C4×D4 | — | 2 | 4 | no | — |
| 835 | C4×D4 | — | 2 | 8 | no | — |
| 836 | C4×D4 | — | 2 | 4 | no | — |
| 837 | C4×D4 | — | 2 | 8 | no | — |
| 838 | C4×D4 | — | 2 | 8 | no | — |
| 839 | C4×D4 | — | 2 | 8 | no | — |
| 840 | C4×D4 | — | 2 | 4 | no | — |
| 841 | C4×D4 | — | 2 | 2 | no | — |
| 842 | C4×D4 | — | 2 | 4 | no | — |
| 843 | C4×D4 | — | 2 | 4 | no | — |
| 844 | C4×D4 | — | 2 | 4 | no | — |
| 845 | C4×D4 | — | 2 | 4 | no | — |
| 846 | C4×D4 | C2×D4 | 1 | 4 | yes | — |
| 847 | C4×D4 | C2×D4 | 1 | 4 | yes | — |
| 848 | C4×D4 | C2×D4 | 1 | 8 | yes | — |
| 849 | C4×D4 | C2×D4 | 1 | 2 | yes | — |
| 850 | C4×D4 | C2×D4 | 1 | 4 | yes | — |
| 851 | C4×D4 | C24 | 1 | 2 | yes | — |
| 852 | C4×D4 | C24 | 1 | 2 | yes | — |
| 853 | C4×D4 | C24 | 1 | 4 | yes | — |
| 854 | C4×D4 | C24 | 1 | 4 | yes | — |
| 855 | C4×D4 | C24 | 1 | 8 | yes | — |
| 856 | C4×D4 | C24 | 1 | 8 | yes | — |
| 857 | C4×D4 | C24 | 1 | 2 | yes | — |
| 858 | C4×D4 | C24 | 1 | 8 | yes | — |
| 859 | C4×D4 | C24 | 1 | 4 | yes | — |
| 860 | C4×D4 | C24 | 1 | 4 | yes | — |
| 861 | #117 | — | 2 | 2 | no | — |
| 862 | #117 | — | 2 | 2 | no | — |
| 863 | #117 | — | 2 | 2 | no | — |
| 864 | #117 | — | 2 | 4 | no | — |
| 865 | #117 | — | 2 | 8 | no | — |
| 866 | #117 | — | 2 | 4 | no | — |
| 867 | #117 | — | 2 | 4 | no | — |
| 868 | #117 | — | 2 | 2 | no | — |
| 869 | #117 | — | 2 | 4 | no | — |
| 870 | #117 | C2×D4 | 1 | 2 | yes | — |
| 871 | #117 | C2×D4 | 1 | 4 | yes | — |
| 872 | #117 | C24 | 1 | 4 | yes | — |
| 873 | #117 | C24 | 1 | 2 | yes | — |
| 874 | #117 | C24 | 1 | 4 | yes | — |
| 875 | C2×C4⋊C4 | — | 2 | 4 | no | — |
| 876 | C2×C4⋊C4 | — | 2 | 4 | no | — |
| 877 | C2×C4⋊C4 | — | 2 | 8 | no | — |
| 878 | C2×C4⋊C4 | C2×D4 | 1 | 4 | yes | — |
| 879 | C2×C4⋊C4 | C24 | 1 | 4 | yes | — |
| 880 | C2×C4⋊C4 | C24 | 1 | 8 | yes | — |
| 881 | C2×C22⋊C4 | — | 2 | 8 | no | — |
| 882 | C2×C22⋊C4 | — | 2 | 8 | no | — |
| 883 | C2×C22⋊C4 | — | 2 | 8 | no | — |
| 884 | C2×C22⋊C4 | — | 2 | 8 | no | — |
| 885 | C2×C22⋊C4 | — | 2 | 8 | no | — |
| 886 | C2×C22⋊C4 | C2×D4 | 1 | 8 | yes | — |
| 887 | C2×C42 | — | 2 | 4 | no | — |
| 888 | C2×C42 | — | 2 | 4 | no | — |
| 889 | C2×C42 | — | 2 | 2 | no | — |
| 890 | C2×C42 | C24 | 1 | 4 | yes | — |
| 891 | C2×C42 | C24 | 1 | 1 | yes | characteristic |
| 892 | #107 | C24 | 1 | 2 | yes | — |
| 893 | #107 | C24 | 1 | 4 | yes | — |
| 894 | #107 | C24 | 1 | 4 | yes | — |
| 895 | #106 | C24 | 1 | 4 | yes | — |
| 896 | #106 | C24 | 1 | 4 | yes | — |
| 897 | #106 | C24 | 1 | 4 | yes | — |
| 898 | #106 | C24 | 1 | 1 | yes | characteristic |
| 899 | #106 | C24 | 1 | 1 | yes | characteristic |
| 900 | #106 | C24 | 1 | 4 | yes | — |
| 901 | #106 | C24 | 1 | 4 | yes | — |
| 902 | #106 | C24 | 1 | 4 | yes | — |
| 903 | C4⋊C8 | C24 | 1 | 2 | yes | — |
| 904 | C4⋊C8 | C24 | 1 | 4 | yes | — |
| 905 | C4⋊C8 | C24 | 1 | 8 | yes | — |
| 906 | C4⋊C8 | C24 | 1 | 4 | yes | — |
| 907 | C4⋊C8 | C24 | 1 | 2 | yes | — |
| 908 | C4⋊C8 | C24 | 1 | 4 | yes | — |
| 909 | #103 | C24 | 1 | 2 | yes | — |
| 910 | #103 | C24 | 1 | 2 | yes | — |
| 911 | #103 | C24 | 1 | 4 | yes | — |
| 912 | #103 | C24 | 1 | 4 | yes | — |
| 913 | #103 | C24 | 1 | 8 | yes | — |
| 914 | #103 | C24 | 1 | 4 | yes | — |
| 915 | #103 | C24 | 1 | 4 | yes | — |
| 916 | #103 | C24 | 1 | 4 | yes | — |
| 917 | #103 | C24 | 1 | 4 | yes | — |
| 918 | #102 | C24 | 1 | 4 | yes | — |
| 919 | #102 | C24 | 1 | 4 | yes | — |
| 920 | #102 | C24 | 1 | 8 | yes | — |
| 921 | #102 | C24 | 1 | 8 | yes | — |
| 922 | #102 | C24 | 1 | 2 | yes | — |
| 923 | #102 | C24 | 1 | 2 | yes | — |
| 924 | #102 | C24 | 1 | 4 | yes | — |
| 925 | #102 | C24 | 1 | 8 | yes | — |
| 926 | #102 | C24 | 1 | 8 | yes | — |
| 927 | #102 | C24 | 1 | 4 | yes | — |
| 928 | #102 | C24 | 1 | 4 | yes | — |
| 929 | #102 | C24 | 1 | 8 | yes | — |
| 930 | #102 | C24 | 1 | 8 | yes | — |
| 931 | #102 | C24 | 1 | 8 | yes | — |
| 932 | #102 | C24 | 1 | 4 | yes | — |
| 933 | C22⋊C8 | C24 | 1 | 4 | yes | — |
| 934 | C22⋊C8 | C24 | 1 | 4 | yes | — |
| 935 | C22⋊C8 | C24 | 1 | 8 | yes | — |
| 936 | C22⋊C8 | C24 | 1 | 8 | yes | — |
| 937 | C22⋊C8 | C24 | 1 | 8 | yes | — |
| 938 | C22⋊C8 | C24 | 1 | 4 | yes | — |
| 939 | #97 | C24 | 1 | 4 | yes | — |
| 940 | #97 | C24 | 1 | 4 | yes | — |
| 941 | C4×C8 | C24 | 1 | 2 | yes | — |
| 942 | C4×C8 | C24 | 1 | 2 | yes | — |
| 943 | C4×C8 | C24 | 1 | 4 | yes | — |
| 944 | C4×C8 | C24 | 1 | 8 | yes | — |
| 945 | C24 | — | 2 | 8 | no | — |
| 946 | C24 | — | 2 | 8 | no | — |
| 947 | C24 | — | 2 | 4 | no | — |
| 948 | C24 | C22×D4 | 1 | 4 | yes | — |
| 949 | #41 | — | 2 | 16 | no | — |
| 950 | #41 | — | 2 | 4 | no | — |
| 951 | #41 | — | 2 | 8 | no | — |
| 952 | #41 | — | 4 | 2 | no | — |
| 953 | #41 | — | 4 | 2 | no | — |
| 954 | #41 | — | 4 | 4 | no | — |
| 955 | #41 | — | 4 | 8 | no | — |
| 956 | #41 | — | 4 | 4 | no | — |
| 957 | #41 | — | 4 | 2 | no | — |
| 958 | #41 | — | 4 | 8 | no | — |
| 959 | #41 | — | 4 | 8 | no | — |
| 960 | #41 | — | 4 | 8 | no | — |
| 961 | #41 | — | 4 | 8 | no | — |
| 962 | #41 | — | 4 | 8 | no | — |
| 963 | #41 | — | 8 | 8 | no | — |
| 964 | #41 | — | 8 | 4 | no | — |
| 965 | #41 | — | 8 | 8 | no | — |
| 966 | #41 | — | 8 | 8 | no | — |
| 967 | #41 | — | 8 | 16 | no | — |
| 968 | #41 | — | 8 | 16 | no | — |
| 969 | #41 | — | 8 | 8 | no | — |
| 970 | #41 | — | 8 | 8 | no | — |
| 971 | #41 | — | 8 | 16 | no | — |
| 972 | #41 | — | 8 | 4 | no | — |
| 973 | #41 | — | 8 | 8 | no | — |
| 974 | C2×Q8 | — | 2 | 4 | no | — |
| 975 | C2×Q8 | — | 2 | 2 | no | — |
| 976 | C2×Q8 | — | 2 | 4 | no | — |
| 977 | C2×Q8 | — | 2 | 2 | no | — |
| 978 | C2×Q8 | — | 2 | 8 | no | — |
| 979 | C2×Q8 | — | 4 | 4 | no | — |
| 980 | C2×Q8 | C22×D4 | 1 | 2 | yes | — |
| 981 | C2×Q8 | C22×D4 | 1 | 2 | yes | — |
| 982 | C2×Q8 | C25 | 1 | 4 | yes | — |
| 983 | C2×Q8 | C25 | 1 | 2 | yes | — |
| 984 | C2×D4 | — | 2 | 8 | no | — |
| 985 | C2×D4 | — | 2 | 4 | no | — |
| 986 | C2×D4 | — | 2 | 2 | no | — |
| 987 | C2×D4 | — | 2 | 8 | no | — |
| 988 | C2×D4 | — | 2 | 4 | no | — |
| 989 | C2×D4 | — | 2 | 8 | no | — |
| 990 | C2×D4 | — | 2 | 8 | no | — |
| 991 | C2×D4 | — | 2 | 8 | no | — |
| 992 | C2×D4 | — | 2 | 4 | no | — |
| 993 | C2×D4 | — | 2 | 4 | no | — |
| 994 | C2×D4 | — | 2 | 8 | no | — |
| 995 | C2×D4 | — | 2 | 8 | no | — |
| 996 | C2×D4 | — | 2 | 8 | no | — |
| 997 | C2×D4 | — | 2 | 4 | no | — |
| 998 | C2×D4 | — | 2 | 4 | no | — |
| 999 | C2×D4 | — | 2 | 2 | no | — |
| 1000 | C2×D4 | — | 2 | 4 | no | — |
| 1001 | C2×D4 | — | 2 | 4 | no | — |
| 1002 | C2×D4 | — | 2 | 4 | no | — |
| 1003 | C2×D4 | — | 2 | 8 | no | — |
| 1004 | C2×D4 | — | 2 | 8 | no | — |
| 1005 | C2×D4 | — | 2 | 8 | no | — |
| 1006 | C2×D4 | — | 2 | 4 | no | — |
| 1007 | C2×D4 | — | 2 | 4 | no | — |
| 1008 | C2×D4 | — | 2 | 4 | no | — |
| 1009 | C2×D4 | — | 2 | 8 | no | — |
| 1010 | C2×D4 | — | 2 | 2 | no | — |
| 1011 | C2×D4 | — | 4 | 8 | no | — |
| 1012 | C2×D4 | — | 4 | 8 | no | — |
| 1013 | C2×D4 | — | 4 | 4 | no | — |
| 1014 | C2×D4 | — | 4 | 4 | no | — |
| 1015 | C2×D4 | — | 4 | 8 | no | — |
| 1016 | C2×D4 | — | 4 | 8 | no | — |
| 1017 | C2×D4 | — | 4 | 8 | no | — |
| 1018 | C2×D4 | — | 4 | 16 | no | — |
| 1019 | C2×D4 | — | 8 | 8 | no | — |
| 1020 | C2×D4 | — | 8 | 4 | no | — |
| 1021 | C2×D4 | — | 8 | 4 | no | — |
| 1022 | C2×D4 | — | 8 | 8 | no | — |
| 1023 | C2×D4 | — | 8 | 8 | no | — |
| 1024 | C2×D4 | — | 8 | 16 | no | — |
| 1025 | C2×D4 | — | 8 | 8 | no | — |
| 1026 | C2×D4 | — | 8 | 16 | no | — |
| 1027 | C2×D4 | — | 8 | 8 | no | — |
| 1028 | C2×D4 | — | 8 | 16 | no | — |
| 1029 | C2×D4 | — | 8 | 16 | no | — |
| 1030 | C2×D4 | — | 8 | 16 | no | — |
| 1031 | C2×D4 | — | 8 | 16 | no | — |
| 1032 | C2×D4 | C22×D4 | 1 | 2 | yes | — |
| 1033 | C2×D4 | C22×D4 | 1 | 4 | yes | — |
| 1034 | C2×D4 | C22×D4 | 1 | 4 | yes | — |
| 1035 | C2×D4 | C22×D4 | 1 | 8 | yes | — |
| 1036 | C2×D4 | C22×D4 | 1 | 4 | yes | — |
| 1037 | C2×D4 | C22×D4 | 1 | 2 | yes | — |
| 1038 | C2×D4 | C25 | 1 | 2 | yes | — |
| 1039 | C2×D4 | C25 | 1 | 8 | yes | — |
| 1040 | C2×D4 | C25 | 1 | 4 | yes | — |
| 1041 | C22×C4 | — | 2 | 4 | no | — |
| 1042 | C22×C4 | — | 2 | 4 | no | — |
| 1043 | C22×C4 | — | 2 | 8 | no | — |
| 1044 | C22×C4 | — | 2 | 4 | no | — |
| 1045 | C22×C4 | — | 2 | 2 | no | — |
| 1046 | C22×C4 | — | 2 | 4 | no | — |
| 1047 | C22×C4 | — | 2 | 2 | no | — |
| 1048 | C22×C4 | — | 2 | 2 | no | — |
| 1049 | C22×C4 | — | 2 | 8 | no | — |
| 1050 | C22×C4 | — | 2 | 4 | no | — |
| 1051 | C22×C4 | — | 2 | 8 | no | — |
| 1052 | C22×C4 | — | 2 | 8 | no | — |
| 1053 | C22×C4 | — | 2 | 8 | no | — |
| 1054 | C22×C4 | — | 2 | 8 | no | — |
| 1055 | C22×C4 | — | 4 | 4 | no | — |
| 1056 | C22×C4 | — | 4 | 4 | no | — |
| 1057 | C22×C4 | — | 8 | 16 | no | — |
| 1058 | C22×C4 | C22×D4 | 1 | 4 | yes | — |
| 1059 | C22×C4 | C22×D4 | 1 | 2 | yes | — |
| 1060 | C22×C4 | C22×D4 | 1 | 4 | yes | — |
| 1061 | C22×C4 | C22×D4 | 1 | 4 | yes | — |
| 1062 | C22×C4 | C22×D4 | 1 | 8 | yes | — |
| 1063 | C22×C4 | C25 | 1 | 4 | yes | — |
| 1064 | C22×C4 | C25 | 1 | 1 | yes | characteristic |
| 1065 | C22×C4 | C25 | 1 | 4 | yes | — |
| 1066 | Q16 | — | 2 | 8 | no | — |
| 1067 | Q16 | — | 4 | 4 | no | — |
| 1068 | Q16 | H(5,𝔽2) | 1 | 4 | yes | complemented |
| 1069 | SD16 | — | 2 | 4 | no | — |
| 1070 | SD16 | — | 2 | 16 | no | — |
| 1071 | SD16 | — | 2 | 8 | no | — |
| 1072 | SD16 | — | 2 | 8 | no | — |
| 1073 | SD16 | — | 4 | 8 | no | — |
| 1074 | SD16 | — | 4 | 4 | no | — |
| 1075 | SD16 | — | 4 | 8 | no | — |
| 1076 | SD16 | — | 4 | 4 | no | — |
| 1077 | D8 | — | 2 | 2 | no | — |
| 1078 | D8 | — | 2 | 8 | no | — |
| 1079 | D8 | — | 4 | 4 | no | — |
| 1080 | D8 | — | 4 | 8 | no | — |
| 1081 | D8 | — | 4 | 8 | no | — |
| 1082 | D8 | — | 4 | 4 | no | — |
| 1083 | D8 | — | 4 | 8 | no | — |
| 1084 | D8 | — | 4 | 8 | no | — |
| 1085 | D8 | — | 4 | 4 | no | — |
| 1086 | M16 | — | 2 | 8 | no | — |
| 1087 | M16 | — | 4 | 8 | no | — |
| 1088 | M16 | — | 4 | 4 | no | — |
| 1089 | M16 | — | 4 | 2 | no | — |
| 1090 | M16 | — | 4 | 4 | no | — |
| 1091 | M16 | — | 4 | 4 | no | — |
| 1092 | C2×C8 | — | 2 | 8 | no | — |
| 1093 | C2×C8 | — | 2 | 2 | no | — |
| 1094 | C2×C8 | — | 4 | 4 | no | — |
| 1095 | C2×C8 | — | 4 | 1 | no | — |
| 1096 | C2×C8 | C25 | 1 | 4 | yes | — |
| 1097 | C2×C8 | C25 | 1 | 2 | yes | — |
| 1098 | C2×C8 | C25 | 1 | 4 | yes | — |
| 1099 | C2×C8 | C25 | 1 | 1 | yes | characteristic |
| 1100 | C2×C8 | C25 | 1 | 4 | yes | — |
| 1101 | C2×C8 | C25 | 1 | 1 | yes | characteristic |
| 1102 | C4⋊C4 | — | 2 | 4 | no | — |
| 1103 | C4⋊C4 | — | 2 | 2 | no | — |
| 1104 | C4⋊C4 | — | 2 | 4 | no | — |
| 1105 | C4⋊C4 | — | 2 | 2 | no | — |
| 1106 | C4⋊C4 | — | 2 | 8 | no | — |
| 1107 | C4⋊C4 | — | 2 | 8 | no | — |
| 1108 | C4⋊C4 | — | 2 | 4 | no | — |
| 1109 | C4⋊C4 | — | 2 | 4 | no | — |
| 1110 | C4⋊C4 | — | 2 | 4 | no | — |
| 1111 | C4⋊C4 | — | 2 | 2 | no | — |
| 1112 | C4⋊C4 | — | 2 | 2 | no | — |
| 1113 | C4⋊C4 | — | 2 | 2 | no | — |
| 1114 | C4⋊C4 | — | 2 | 4 | no | — |
| 1115 | C4⋊C4 | — | 2 | 2 | no | — |
| 1116 | C4⋊C4 | — | 2 | 4 | no | — |
| 1117 | C4⋊C4 | — | 2 | 4 | no | — |
| 1118 | C4⋊C4 | — | 2 | 4 | no | — |
| 1119 | C4⋊C4 | — | 2 | 4 | no | — |
| 1120 | C4⋊C4 | C22×D4 | 1 | 4 | yes | — |
| 1121 | C4⋊C4 | C22×D4 | 1 | 8 | yes | — |
| 1122 | C4⋊C4 | C22×D4 | 1 | 2 | yes | — |
| 1123 | C4⋊C4 | C22×D4 | 1 | 8 | yes | — |
| 1124 | C4⋊C4 | C22×D4 | 1 | 2 | yes | — |
| 1125 | C4⋊C4 | C22×D4 | 1 | 4 | yes | — |
| 1126 | C4⋊C4 | C22×D4 | 1 | 4 | yes | — |
| 1127 | C4⋊C4 | C25 | 1 | 4 | yes | — |
| 1128 | C4⋊C4 | C25 | 1 | 4 | yes | — |
| 1129 | C4⋊C4 | C25 | 1 | 2 | yes | — |
| 1130 | C4⋊C4 | C25 | 1 | 2 | yes | — |
| 1131 | C22⋊C4 | — | 2 | 4 | no | — |
| 1132 | C22⋊C4 | — | 2 | 4 | no | — |
| 1133 | C22⋊C4 | — | 2 | 8 | no | — |
| 1134 | C22⋊C4 | — | 2 | 2 | no | — |
| 1135 | C22⋊C4 | — | 2 | 4 | no | — |
| 1136 | C22⋊C4 | — | 2 | 4 | no | — |
| 1137 | C22⋊C4 | — | 2 | 8 | no | — |
| 1138 | C22⋊C4 | — | 2 | 4 | no | — |
| 1139 | C22⋊C4 | — | 2 | 4 | no | — |
| 1140 | C22⋊C4 | — | 2 | 4 | no | — |
| 1141 | C22⋊C4 | — | 2 | 8 | no | — |
| 1142 | C22⋊C4 | — | 2 | 8 | no | — |
| 1143 | C22⋊C4 | — | 2 | 8 | no | — |
| 1144 | C22⋊C4 | — | 2 | 8 | no | — |
| 1145 | C22⋊C4 | — | 2 | 8 | no | — |
| 1146 | C22⋊C4 | — | 2 | 8 | no | — |
| 1147 | C22⋊C4 | — | 2 | 4 | no | — |
| 1148 | C22⋊C4 | — | 2 | 4 | no | — |
| 1149 | C22⋊C4 | — | 2 | 2 | no | — |
| 1150 | C22⋊C4 | — | 2 | 2 | no | — |
| 1151 | C22⋊C4 | — | 2 | 8 | no | — |
| 1152 | C22⋊C4 | — | 2 | 8 | no | — |
| 1153 | C22⋊C4 | — | 2 | 4 | no | — |
| 1154 | C22⋊C4 | — | 2 | 4 | no | — |
| 1155 | C22⋊C4 | C22×D4 | 1 | 4 | yes | — |
| 1156 | C22⋊C4 | C22×D4 | 1 | 8 | yes | — |
| 1157 | C22⋊C4 | C22×D4 | 1 | 8 | yes | — |
| 1158 | C22⋊C4 | C22×D4 | 1 | 4 | yes | — |
| 1159 | C22⋊C4 | C22×D4 | 1 | 8 | yes | — |
| 1160 | C22⋊C4 | C22×D4 | 1 | 4 | yes | — |
| 1161 | C22⋊C4 | C22×D4 | 1 | 4 | yes | — |
| 1162 | C22⋊C4 | C22×D4 | 1 | 4 | yes | — |
| 1163 | C42 | — | 2 | 2 | no | — |
| 1164 | C42 | — | 2 | 2 | no | — |
| 1165 | C42 | — | 2 | 2 | no | — |
| 1166 | C42 | — | 2 | 4 | no | — |
| 1167 | C42 | — | 2 | 4 | no | — |
| 1168 | C42 | — | 2 | 4 | no | — |
| 1169 | C42 | — | 2 | 4 | no | — |
| 1170 | C42 | — | 2 | 4 | no | — |
| 1171 | C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 1172 | C42 | C22×D4 | 1 | 4 | yes | — |
| 1173 | C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 1174 | C42 | C22×D4 | 1 | 4 | yes | — |
| 1175 | C42 | C25 | 1 | 2 | yes | — |
| 1176 | C42 | C25 | 1 | 4 | yes | — |
| 1177 | C23 | — | 2 | 2 | no | — |
| 1178 | C23 | — | 2 | 8 | no | — |
| 1179 | C23 | — | 2 | 4 | no | — |
| 1180 | C23 | — | 4 | 4 | no | — |
| 1181 | C23 | — | 4 | 8 | no | — |
| 1182 | C23 | — | 4 | 16 | no | — |
| 1183 | C23 | — | 8 | 8 | no | — |
| 1184 | C23 | — | 8 | 8 | no | — |
| 1185 | C23 | — | 8 | 8 | no | — |
| 1186 | C23 | — | 8 | 4 | no | — |
| 1187 | C23 | — | 8 | 4 | no | — |
| 1188 | C23 | — | 8 | 8 | no | — |
| 1189 | C23 | — | 8 | 4 | no | — |
| 1190 | C23 | — | 8 | 8 | no | — |
| 1191 | C23 | C23×D4 | 1 | 1 | yes | characteristic |
| 1192 | C23 | C23×D4 | 1 | 4 | yes | — |
| 1193 | C23 | C23×D4 | 1 | 4 | yes | — |
| 1194 | Q8 | — | 2 | 4 | no | — |
| 1195 | Q8 | — | 2 | 2 | no | — |
| 1196 | Q8 | — | 2 | 4 | no | — |
| 1197 | Q8 | — | 2 | 4 | no | — |
| 1198 | Q8 | — | 4 | 2 | no | — |
| 1199 | Q8 | — | 4 | 8 | no | — |
| 1200 | Q8 | — | 4 | 4 | no | — |
| 1201 | Q8 | — | 8 | 2 | no | — |
| 1202 | Q8 | — | 8 | 4 | no | — |
| 1203 | Q8 | C2×H(5,𝔽2) | 1 | 4 | yes | — |
| 1204 | D4 | — | 2 | 4 | no | — |
| 1205 | D4 | — | 2 | 8 | no | — |
| 1206 | D4 | — | 2 | 2 | no | — |
| 1207 | D4 | — | 2 | 8 | no | — |
| 1208 | D4 | — | 2 | 4 | no | — |
| 1209 | D4 | — | 2 | 8 | no | — |
| 1210 | D4 | — | 2 | 4 | no | — |
| 1211 | D4 | — | 2 | 2 | no | — |
| 1212 | D4 | — | 4 | 8 | no | — |
| 1213 | D4 | — | 4 | 4 | no | — |
| 1214 | D4 | — | 4 | 2 | no | — |
| 1215 | D4 | — | 4 | 4 | no | — |
| 1216 | D4 | — | 4 | 4 | no | — |
| 1217 | D4 | — | 4 | 16 | no | — |
| 1218 | D4 | — | 4 | 8 | no | — |
| 1219 | D4 | — | 4 | 16 | no | — |
| 1220 | D4 | — | 4 | 8 | no | — |
| 1221 | D4 | — | 4 | 8 | no | — |
| 1222 | D4 | — | 4 | 8 | no | — |
| 1223 | D4 | — | 4 | 4 | no | — |
| 1224 | D4 | — | 8 | 8 | no | — |
| 1225 | D4 | — | 8 | 4 | no | — |
| 1226 | D4 | — | 8 | 8 | no | — |
| 1227 | D4 | — | 8 | 4 | no | — |
| 1228 | D4 | — | 8 | 8 | no | — |
| 1229 | D4 | — | 8 | 2 | no | — |
| 1230 | D4 | — | 8 | 4 | no | — |
| 1231 | D4 | — | 8 | 4 | no | — |
| 1232 | D4 | — | 8 | 8 | no | — |
| 1233 | D4 | — | 8 | 4 | no | — |
| 1234 | D4 | — | 8 | 8 | no | — |
| 1235 | D4 | — | 8 | 4 | no | — |
| 1236 | D4 | — | 8 | 8 | no | — |
| 1237 | D4 | — | 8 | 4 | no | — |
| 1238 | D4 | — | 8 | 4 | no | — |
| 1239 | D4 | — | 8 | 8 | no | — |
| 1240 | D4 | — | 8 | 8 | no | — |
| 1241 | D4 | — | 8 | 8 | no | — |
| 1242 | D4 | — | 8 | 8 | no | — |
| 1243 | C2×C4 | — | 2 | 2 | no | — |
| 1244 | C2×C4 | — | 2 | 8 | no | — |
| 1245 | C2×C4 | — | 2 | 4 | no | — |
| 1246 | C2×C4 | — | 2 | 4 | no | — |
| 1247 | C2×C4 | — | 2 | 1 | no | — |
| 1248 | C2×C4 | — | 2 | 4 | no | — |
| 1249 | C2×C4 | — | 2 | 1 | no | — |
| 1250 | C2×C4 | — | 2 | 4 | no | — |
| 1251 | C2×C4 | — | 2 | 4 | no | — |
| 1252 | C2×C4 | — | 2 | 2 | no | — |
| 1253 | C2×C4 | — | 2 | 2 | no | — |
| 1254 | C2×C4 | — | 2 | 4 | no | — |
| 1255 | C2×C4 | — | 2 | 4 | no | — |
| 1256 | C2×C4 | — | 2 | 4 | no | — |
| 1257 | C2×C4 | — | 4 | 8 | no | — |
| 1258 | C2×C4 | — | 4 | 4 | no | — |
| 1259 | C2×C4 | — | 4 | 4 | no | — |
| 1260 | C2×C4 | — | 4 | 8 | no | — |
| 1261 | C2×C4 | — | 4 | 16 | no | — |
| 1262 | C2×C4 | — | 4 | 4 | no | — |
| 1263 | C2×C4 | — | 4 | 8 | no | — |
| 1264 | C2×C4 | — | 4 | 8 | no | — |
| 1265 | C2×C4 | — | 4 | 8 | no | — |
| 1266 | C2×C4 | — | 4 | 4 | no | — |
| 1267 | C2×C4 | — | 4 | 4 | no | — |
| 1268 | C2×C4 | — | 8 | 8 | no | — |
| 1269 | C2×C4 | — | 8 | 8 | no | — |
| 1270 | C2×C4 | — | 8 | 8 | no | — |
| 1271 | C2×C4 | — | 8 | 8 | no | — |
| 1272 | C2×C4 | — | 8 | 4 | no | — |
| 1273 | C2×C4 | — | 8 | 8 | no | — |
| 1274 | C2×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 1275 | C2×C4 | C23×D4 | 1 | 4 | yes | — |
| 1276 | C2×C4 | C23×D4 | 1 | 4 | yes | — |
| 1277 | C2×C4 | C23×D4 | 1 | 4 | yes | — |
| 1278 | C2×C4 | C23×D4 | 1 | 2 | yes | — |
| 1279 | C2×C4 | C23×D4 | 1 | 4 | yes | — |
| 1280 | C2×C4 | C23×D4 | 1 | 2 | yes | — |
| 1281 | C2×C4 | C26 | 1 | 1 | yes | characteristic |
| 1282 | C8 | — | 2 | 1 | no | — |
| 1283 | C8 | — | 2 | 4 | no | — |
| 1284 | C8 | — | 2 | 4 | no | — |
| 1285 | C8 | — | 2 | 2 | no | — |
| 1286 | C8 | — | 2 | 4 | no | — |
| 1287 | C8 | C2×H(5,𝔽2) | 1 | 2 | yes | — |
| 1288 | C22 | — | 2 | 4 | no | — |
| 1289 | C22 | — | 2 | 4 | no | — |
| 1290 | C22 | — | 2 | 1 | no | — |
| 1291 | C22 | — | 2 | 2 | no | — |
| 1292 | C22 | — | 2 | 4 | no | — |
| 1293 | C22 | — | 2 | 4 | no | — |
| 1294 | C22 | — | 2 | 8 | no | — |
| 1295 | C22 | — | 4 | 4 | no | — |
| 1296 | C22 | — | 4 | 8 | no | — |
| 1297 | C22 | — | 4 | 2 | no | — |
| 1298 | C22 | — | 4 | 2 | no | — |
| 1299 | C22 | — | 4 | 4 | no | — |
| 1300 | C22 | — | 4 | 2 | no | — |
| 1301 | C22 | — | 4 | 8 | no | — |
| 1302 | C22 | — | 4 | 4 | no | — |
| 1303 | C22 | — | 4 | 8 | no | — |
| 1304 | C22 | — | 16 | 4 | no | — |
| 1305 | C22 | — | 16 | 16 | no | — |
| 1306 | C22 | — | 32 | 8 | no | — |
| 1307 | C22 | — | 32 | 4 | no | — |
| 1308 | C22 | C24×D4 | 1 | 1 | yes | characteristic |
| 1309 | C4 | — | 2 | 4 | no | — |
| 1310 | C4 | — | 2 | 4 | no | — |
| 1311 | C4 | — | 2 | 1 | no | — |
| 1312 | C4 | — | 2 | 4 | no | — |
| 1313 | C4 | — | 2 | 2 | no | — |
| 1314 | C4 | — | 2 | 4 | no | — |
| 1315 | C4 | — | 2 | 4 | no | — |
| 1316 | C4 | — | 4 | 4 | no | — |
| 1317 | C4 | — | 4 | 2 | no | — |
| 1318 | C4 | — | 4 | 4 | no | — |
| 1319 | C4 | — | 4 | 4 | no | — |
| 1320 | C4 | — | 4 | 2 | no | — |
| 1321 | C4 | #3585 | 1 | 4 | yes | — |
| 1322 | C4 | C22×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 1323 | C4 | H(7,𝔽2) | 1 | 1 | yes | characteristic |
| 1324 | C2 | — | 4 | 4 | no | — |
| 1325 | C2 | — | 4 | 4 | no | — |
| 1326 | C2 | — | 4 | 1 | no | — |
| 1327 | C2 | — | 8 | 4 | no | — |
| 1328 | C2 | — | 8 | 8 | no | — |
| 1329 | C2 | — | 8 | 2 | no | — |
| 1330 | C2 | D4×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 1331 | C2 | C2×#3585 | 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. #63014 | C2 | semidirect |
| 2. #62463 | C2 | semidirect |
| 3. #62423 | C2 | semidirect |
| 4. #62331 | C2 | semidirect |
| 5. #62299 | C2 | semidirect |
| 6. #62283 | C2 | semidirect |
| 7. #62045 | C2 | semidirect |
| 8. #62037 | C2 | semidirect |
| 9. #62001 | C2 | semidirect |
| 10. #61997 | C2 | semidirect |
| 11. #61668 | C2 | semidirect |
| 12. #61653 | C2 | semidirect |
| 13. #61590 | C2 | semidirect |
| 14. #61587 | C2 | semidirect |
| 15. #61546 | C2 | semidirect |
| 16. #61450 | C2 | semidirect |
| 17. #61089 | C2 | semidirect |
| 18. #61070 | C2 | semidirect |
| 19. #61063 | C2 | semidirect |
| 20. #60317 | C2 | semidirect |
| 21. C2×#576 | C22 | semidirect |
| 22. C2×#575 | C22 | semidirect |
| 24. #3548 | C22 | semidirect |
| 26. #3546 | C22 | semidirect |
| 28. #3543 | C22 | semidirect |
| 30. #3542 | C22 | semidirect |
| 31. #3522 | C22 | semidirect |
| 33. #3519 | C22 | semidirect |
| 34. #3517 | C22 | semidirect |
| 36. #3508 | C22 | semidirect |
| 38. #3498 | C22 | semidirect |
| 39. #3498 | C22 | semidirect |
| 41. #3496 | C22 | semidirect |
| 42. #3488 | C22 | semidirect |
| 43. #3483 | C22 | semidirect |
| 44. #3482 | C22 | semidirect |
| 47. D4×#41 | C22 | semidirect |
| 48. C2×#550 | C22 | semidirect |
| 49. #3399 | C22 | semidirect |
| 50. #3399 | C22 | semidirect |
| 51. #3397 | C22 | semidirect |
| 52. #3394 | C22 | semidirect |
| 53. #3391 | C22 | semidirect |
| 54. #3387 | C22 | semidirect |
| 55. #3369 | C22 | semidirect |
| 56. #3368 | C22 | semidirect |
| 57. #3365 | C22 | semidirect |
| 58. #3362 | C22 | semidirect |
| 59. #3354 | C22 | semidirect |
| 60. #3348 | C22 | semidirect |
| 61. #3345 | C22 | semidirect |
| 62. #3335 | C22 | semidirect |
| 63. #3333 | C22 | semidirect |
| 64. #3332 | C22 | semidirect |
| 65. #3332 | C22 | semidirect |
| 66. #3332 | C22 | semidirect |
| 67. #3332 | C22 | semidirect |
| 68. #3332 | C22 | semidirect |
| 69. #3332 | C22 | semidirect |
| 70. #3331 | C22 | semidirect |
| 71. #3329 | C22 | semidirect |
| 72. #3326 | C22 | semidirect |
| 73. #3325 | C22 | semidirect |
| 74. #3325 | C22 | semidirect |
| 75. #3323 | C22 | semidirect |
| 76. #3322 | C22 | semidirect |
| 77. #3321 | C22 | semidirect |
| 78. #3318 | C22 | semidirect |
| 79. #3317 | C22 | semidirect |
| 80. #3306 | C22 | semidirect |
| 81. #3295 | C22 | semidirect |
| 82. #3294 | C22 | semidirect |
| 83. #3287 | C22 | semidirect |
| 84. #3287 | C22 | semidirect |
| 85. #3284 | C22 | semidirect |
| 86. #3284 | C22 | semidirect |
| 87. D4×D8 | C22 | semidirect |
| 88. #3278 | C22 | semidirect |
| 89. #3278 | C22 | semidirect |
| 90. #3275 | C22 | semidirect |
| 91. #3275 | C22 | semidirect |
| 92. #3274 | C22 | semidirect |
| 93. #3274 | C22 | semidirect |
| 94. #3274 | C22 | semidirect |
| 95. #3274 | C22 | semidirect |
| 96. #3274 | C22 | semidirect |
| 97. #3274 | C22 | semidirect |
| 98. #3274 | C22 | semidirect |
| 99. #3274 | C22 | semidirect |
| 100. #3274 | C22 | semidirect |
| 101. #3273 | C22 | semidirect |
| 102. #3272 | C22 | semidirect |
| 103. #3271 | C22 | semidirect |
| 104. #3271 | C22 | semidirect |
| 105. #3271 | C22 | semidirect |
| 106. #3268 | C22 | semidirect |
| 107. #3268 | C22 | semidirect |
| 108. #3264 | C22 | semidirect |
| 109. #3264 | C22 | semidirect |
| 110. #3264 | C22 | semidirect |
| 111. #3263 | C22 | semidirect |
| 112. #3259 | C22 | semidirect |
| 113. #3255 | C22 | semidirect |
| 114. #3253 | C22 | semidirect |
| 115. #3253 | C22 | semidirect |
| 116. #3251 | C22 | semidirect |
| 117. #3224 | C22 | semidirect |
| 118. #3220 | C22 | semidirect |
| 119. #3212 | C22 | semidirect |
| 120. #3208 | C22 | semidirect |
| 121. #3207 | C22 | semidirect |
| 122. #3205 | C22 | semidirect |
| 123. #3205 | C22 | semidirect |
| 124. #3205 | C22 | semidirect |
| 125. #3204 | C22 | semidirect |
| 126. #3198 | C22 | semidirect |
| 127. #3197 | C22 | semidirect |
| 128. #3194 | C22 | semidirect |
| 129. #3192 | C22 | semidirect |
| 130. #3192 | C22 | semidirect |
| 131. #3184 | C22 | semidirect |
| 132. #3179 | C22 | semidirect |
| 133. #3171 | C22 | semidirect |
| 134. #3167 | C22 | semidirect |
| 135. #3155 | C22 | semidirect |
| 136. #3151 | C22 | semidirect |
| 137. C2×#493 | C22 | semidirect |
| 138. #3125 | C22 | semidirect |
| 139. #3119 | C22 | semidirect |
| 140. #3107 | C22 | semidirect |
| 141. #3106 | C22 | semidirect |
| 142. #3106 | C22 | semidirect |
| 143. #3103 | C22 | semidirect |
| 144. #3103 | C22 | semidirect |
| 145. #3102 | C22 | semidirect |
| 146. #3060 | C22 | semidirect |
| 147. #3058 | C22 | semidirect |
| 148. #3055 | C22 | semidirect |
| 149. C2×#469 | C22 | semidirect |
| 150. #3045 | C22 | semidirect |
| 151. #3038 | C22 | semidirect |
| 152. #3038 | C22 | semidirect |
| 153. #3037 | C22 | semidirect |
| 154. #3012 | C22 | semidirect |
| 155. #3008 | C22 | semidirect |
| 156. #3006 | C22 | semidirect |
| 157. #3006 | 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×#137 | C22 | semidirect |
| 168. C4×#135 | C22 | semidirect |
| 169. D4×M16 | C22 | semidirect |
| 170. #2931 | C22 | semidirect |
| 171. #2930 | C22 | semidirect |
| 1068. Q16 | H(5,𝔽2) | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #63014 | 2 |
| #62463 | 2 |
| #62423 | 2 |
| #62331 | 2 |
| #62299 | 2 |
| #62283 | 2 |
| #62045 | 2 |
| #62037 | 2 |
| #62001 | 2 |
| #61997 | 2 |
| #61668 | 2 |
| #61653 | 2 |
| #61590 | 2 |
| #61587 | 2 |
| #61546 | 2 |
| #61450 | 2 |
| #61089 | 2 |
| #61070 | 2 |
| #61063 | 2 |
| #60317 | 2 |