Finite Group DatabasebetaFinite Group DatabasebetaOrder 512.
6292 conjugacy classes of subgroups.
The subgroup lattice has 1190 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #63004 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | Q8×H(5,𝔽2) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #61385 | C2 | 1 | 6 | yes | maximal, complemented |
| 4 | #61384 | C2 | 1 | 6 | yes | maximal, complemented |
| 5 | #61383 | C2 | 1 | 3 | yes | maximal, complemented |
| 6 | #61381 | C2 | 1 | 3 | yes | maximal, complemented |
| 7 | #61380 | C2 | 1 | 6 | yes | maximal, complemented |
| 8 | #61377 | C2 | 1 | 6 | yes | maximal, complemented |
| 9 | #61373 | C2 | 1 | 3 | yes | maximal, complemented |
| 10 | #61371 | C2 | 1 | 3 | yes | maximal, complemented |
| 11 | #61369 | C2 | 1 | 3 | yes | maximal, complemented |
| 12 | Q8×AGL(1,ℤ/8) | C2 | 1 | 3 | yes | maximal, complemented |
| 13 | #61365 | C2 | 1 | 3 | yes | maximal, complemented |
| 14 | C2×#3386 | C2 | 1 | 3 | yes | maximal, complemented |
| 15 | #60668 | C2 | 1 | 2 | yes | maximal, complemented |
| 16 | #60667 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 17 | #60498 | C2 | 1 | 2 | yes | maximal, complemented |
| 18 | #60497 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 19 | #60496 | C2 | 1 | 2 | yes | maximal, complemented |
| 20 | #60494 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 21 | #60195 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 22 | #60174 | C2 | 1 | 2 | yes | maximal |
| 23 | C4×#577 | C2 | 1 | 1 | yes | maximal, characteristic |
| 24 | C2×#577 | C22 | 1 | 1 | yes | characteristic |
| 25 | #3504 | — | 2 | 6 | no | — |
| 26 | #3504 | C22 | 1 | 2 | yes | — |
| 27 | #3504 | C22 | 1 | 6 | yes | complemented |
| 28 | #3503 | — | 2 | 1 | no | — |
| 29 | #3503 | — | 2 | 2 | no | — |
| 30 | #3503 | — | 2 | 3 | no | — |
| 31 | #3503 | C22 | 1 | 3 | yes | — |
| 32 | #3503 | C22 | 1 | 6 | yes | — |
| 33 | #3503 | C22 | 1 | 1 | yes | characteristic |
| 34 | #3503 | C22 | 1 | 2 | yes | — |
| 35 | #3503 | C22 | 1 | 1 | yes | characteristic |
| 36 | #3503 | C22 | 1 | 3 | yes | complemented |
| 37 | #3502 | — | 2 | 1 | no | — |
| 38 | #3502 | — | 2 | 2 | no | — |
| 39 | #3502 | C22 | 1 | 3 | yes | complemented |
| 40 | #3502 | C22 | 1 | 6 | yes | complemented |
| 41 | #3501 | — | 2 | 3 | no | — |
| 42 | #3501 | — | 2 | 6 | no | — |
| 43 | #3501 | C22 | 1 | 3 | yes | — |
| 44 | #3501 | C22 | 1 | 6 | yes | — |
| 45 | Q8×#41 | — | 2 | 1 | no | — |
| 46 | Q8×#41 | — | 2 | 3 | no | — |
| 47 | Q8×#41 | C22 | 1 | 3 | yes | — |
| 48 | Q8×#41 | C22 | 1 | 1 | yes | characteristic |
| 49 | Q8×#41 | C22 | 1 | 3 | yes | complemented |
| 50 | C2×#557 | — | 2 | 1 | no | — |
| 51 | C2×#557 | C22 | 1 | 3 | yes | complemented |
| 52 | C2×D4×Q8 | — | 2 | 3 | no | — |
| 53 | C2×D4×Q8 | C22 | 1 | 3 | yes | — |
| 54 | C4×2−1+4 | C22 | 1 | 1 | yes | characteristic |
| 55 | C4×2−1+4 | C22 | 1 | 2 | yes | — |
| 56 | C4×H(5,𝔽2) | C22 | 1 | 1 | yes | characteristic |
| 57 | C4×H(5,𝔽2) | C22 | 1 | 2 | yes | — |
| 58 | #3390 | C22 | 1 | 6 | yes | complemented |
| 59 | #3390 | C22 | 1 | 12 | yes | complemented |
| 60 | #3389 | C22 | 1 | 6 | yes | complemented |
| 61 | #3389 | C22 | 1 | 12 | yes | complemented |
| 62 | #3388 | C22 | 1 | 6 | yes | complemented |
| 63 | #3388 | C22 | 1 | 6 | yes | complemented |
| 64 | #3388 | C22 | 1 | 12 | yes | complemented |
| 65 | #3388 | C22 | 1 | 12 | yes | complemented |
| 66 | #3388 | C22 | 1 | 12 | yes | complemented |
| 67 | #3387 | C22 | 1 | 3 | yes | complemented |
| 68 | #3387 | C22 | 1 | 3 | yes | complemented |
| 69 | #3387 | C22 | 1 | 12 | yes | complemented |
| 70 | #3386 | C22 | 1 | 3 | yes | complemented |
| 71 | #3386 | C22 | 1 | 6 | yes | complemented |
| 72 | #3386 | C22 | 1 | 6 | yes | complemented |
| 73 | #3386 | C22 | 1 | 12 | yes | complemented |
| 74 | #3386 | C22 | 1 | 6 | yes | complemented |
| 75 | #3386 | C22 | 1 | 12 | yes | complemented |
| 76 | #3386 | C22 | 1 | 3 | yes | complemented |
| 77 | #3386 | C22 | 1 | 12 | yes | complemented |
| 78 | #3385 | C22 | 1 | 1 | yes | characteristic, complemented |
| 79 | #3385 | C22 | 1 | 3 | yes | complemented |
| 80 | #3385 | C22 | 1 | 6 | yes | complemented |
| 81 | #3385 | C22 | 1 | 6 | yes | complemented |
| 82 | #3385 | C22 | 1 | 12 | yes | complemented |
| 83 | #3384 | C22 | 1 | 3 | yes | complemented |
| 84 | #3384 | C22 | 1 | 3 | yes | complemented |
| 85 | #3384 | C22 | 1 | 12 | yes | complemented |
| 86 | #3383 | C22 | 1 | 6 | yes | complemented |
| 87 | Q8×Q16 | C22 | 1 | 6 | yes | complemented |
| 88 | #3381 | C22 | 1 | 6 | yes | complemented |
| 89 | #3381 | C22 | 1 | 12 | yes | complemented |
| 90 | #3380 | C22 | 1 | 6 | yes | complemented |
| 91 | Q8×SD16 | C22 | 1 | 6 | yes | complemented |
| 92 | Q8×D8 | C22 | 1 | 6 | yes | complemented |
| 93 | #3166 | C22 | 1 | 6 | yes | complemented |
| 94 | #3165 | C22 | 1 | 3 | yes | complemented |
| 95 | #3165 | C22 | 1 | 6 | yes | complemented |
| 96 | #3165 | C22 | 1 | 3 | yes | complemented |
| 97 | #3164 | C22 | 1 | 6 | yes | complemented |
| 98 | #3164 | C22 | 1 | 6 | yes | complemented |
| 99 | #3164 | C22 | 1 | 6 | yes | complemented |
| 100 | #3164 | C22 | 1 | 6 | yes | complemented |
| 101 | #3163 | C22 | 1 | 6 | yes | complemented |
| 102 | #3163 | C22 | 1 | 6 | yes | complemented |
| 103 | #3162 | C22 | 1 | 6 | yes | complemented |
| 104 | C2×#501 | C22 | 1 | 6 | yes | complemented |
| 105 | #3160 | C22 | 1 | 3 | yes | complemented |
| 106 | C2×#500 | C22 | 1 | 3 | yes | complemented |
| 107 | #3084 | C22 | 1 | 6 | yes | — |
| 108 | #3084 | C22 | 1 | 6 | yes | complemented |
| 109 | #3083 | C22 | 1 | 6 | yes | — |
| 110 | #3083 | C22 | 1 | 6 | yes | — |
| 111 | #3083 | C22 | 1 | 6 | yes | complemented |
| 112 | #3083 | C22 | 1 | 6 | yes | complemented |
| 113 | #3082 | C22 | 1 | 6 | yes | complemented |
| 114 | #3082 | C22 | 1 | 6 | yes | complemented |
| 115 | #3082 | C22 | 1 | 6 | yes | complemented |
| 116 | #3081 | C22 | 1 | 6 | yes | — |
| 117 | #3081 | C22 | 1 | 6 | yes | — |
| 118 | #3081 | C22 | 1 | 6 | yes | — |
| 119 | #3080 | C22 | 1 | 6 | yes | — |
| 120 | #3079 | C22 | 1 | 3 | yes | — |
| 121 | #3079 | C22 | 1 | 3 | yes | complemented |
| 122 | #3079 | C22 | 1 | 6 | yes | complemented |
| 123 | #3078 | C22 | 1 | 3 | yes | complemented |
| 124 | #3078 | C22 | 1 | 6 | yes | complemented |
| 125 | #3077 | C22 | 1 | 3 | yes | — |
| 126 | #3077 | C22 | 1 | 6 | yes | — |
| 127 | #3076 | C22 | 1 | 3 | yes | — |
| 128 | #3076 | C22 | 1 | 6 | yes | — |
| 129 | #3076 | C22 | 1 | 3 | yes | complemented |
| 130 | #3076 | C22 | 1 | 6 | yes | complemented |
| 131 | C2×#477 | C22 | 1 | 6 | yes | complemented |
| 132 | C2×#475 | C22 | 1 | 3 | yes | complemented |
| 133 | C2×#478 | C22 | 1 | 6 | yes | — |
| 134 | C2×#474 | C22 | 1 | 3 | yes | — |
| 135 | Q8×M16 | C22 | 1 | 3 | yes | complemented |
| 136 | #2962 | C22 | 1 | 3 | yes | complemented |
| 137 | #2962 | C22 | 1 | 6 | yes | complemented |
| 138 | #2961 | C22 | 1 | 6 | yes | complemented |
| 139 | #2960 | C22 | 1 | 3 | yes | complemented |
| 140 | C2×#446 | C22 | 1 | 3 | yes | complemented |
| 141 | #2952 | C22 | 1 | 3 | yes | — |
| 142 | #2951 | C22 | 1 | 6 | yes | — |
| 143 | #2949 | C22 | 1 | 3 | yes | — |
| 144 | #2949 | C22 | 1 | 6 | yes | — |
| 145 | #2947 | C22 | 1 | 3 | yes | — |
| 146 | #2947 | C22 | 1 | 6 | yes | — |
| 147 | #2946 | C22 | 1 | 3 | yes | — |
| 148 | #2946 | C22 | 1 | 6 | yes | — |
| 149 | C4×#137 | C22 | 1 | 3 | yes | — |
| 150 | C4×#137 | C22 | 1 | 6 | yes | — |
| 151 | C4×AGL(1,ℤ/8) | C22 | 1 | 3 | yes | — |
| 152 | C4×AGL(1,ℤ/8) | C22 | 1 | 6 | yes | — |
| 153 | #2943 | C22 | 1 | 6 | yes | — |
| 154 | C2×#440 | C22 | 1 | 6 | yes | — |
| 155 | C4×#135 | C22 | 1 | 3 | yes | — |
| 156 | C2×C4×SD16 | C22 | 1 | 3 | yes | — |
| 157 | #2913 | C22 | 1 | 2 | yes | — |
| 158 | #2913 | C22 | 1 | 2 | yes | — |
| 159 | #2913 | C22 | 1 | 2 | yes | — |
| 160 | #2912 | C22 | 1 | 1 | yes | characteristic |
| 161 | #2912 | C22 | 1 | 2 | yes | — |
| 162 | #2906 | C22 | 1 | 1 | yes | characteristic |
| 163 | #2906 | C22 | 1 | 2 | yes | — |
| 164 | #2898 | C22 | 1 | 1 | yes | characteristic |
| 165 | #2898 | C22 | 1 | 2 | yes | — |
| 166 | #2897 | C22 | 1 | 1 | yes | characteristic |
| 167 | #2897 | C22 | 1 | 2 | yes | — |
| 168 | #2875 | C22 | 1 | 2 | yes | — |
| 169 | C4×#131 | C22 | 1 | 1 | yes | characteristic |
| 170 | C2×2−1+4 | C23 | 1 | 1 | yes | characteristic |
| 171 | C2×H(5,𝔽2) | C23 | 1 | 1 | yes | characteristic |
| 172 | C23×Q8 | — | 2 | 3 | no | — |
| 173 | #577 | Q8 | 1 | 16 | yes | complemented |
| 174 | C2×#137 | C23 | 1 | 3 | yes | — |
| 175 | C2×AGL(1,ℤ/8) | C23 | 1 | 3 | yes | — |
| 176 | C2×#135 | C23 | 1 | 3 | yes | — |
| 177 | C22×SD16 | C23 | 1 | 3 | yes | — |
| 178 | C2×#131 | C23 | 1 | 1 | yes | characteristic |
| 179 | C2×#131 | C23 | 1 | 2 | yes | — |
| 180 | C2×#131 | C23 | 1 | 1 | yes | characteristic |
| 181 | Q82 | — | 2 | 3 | no | — |
| 182 | Q82 | — | 2 | 6 | no | — |
| 183 | Q82 | — | 2 | 1 | no | — |
| 184 | Q82 | — | 2 | 2 | no | — |
| 185 | Q82 | — | 2 | 1 | no | — |
| 186 | Q82 | D4 | 1 | 1 | yes | characteristic |
| 187 | Q82 | C23 | 1 | 3 | yes | — |
| 188 | Q82 | C23 | 1 | 6 | yes | — |
| 189 | Q82 | C23 | 1 | 6 | yes | — |
| 190 | Q82 | C23 | 1 | 1 | yes | characteristic |
| 191 | #557 | — | 2 | 3 | no | — |
| 192 | #557 | — | 2 | 6 | no | — |
| 193 | #557 | — | 2 | 6 | no | — |
| 194 | #557 | — | 2 | 6 | no | — |
| 195 | #557 | — | 2 | 6 | no | — |
| 196 | #557 | — | 2 | 3 | no | — |
| 197 | #557 | — | 2 | 1 | no | — |
| 198 | #557 | — | 2 | 2 | no | — |
| 199 | #557 | — | 2 | 3 | no | — |
| 200 | #557 | — | 2 | 6 | no | — |
| 201 | #557 | — | 2 | 1 | no | — |
| 202 | #557 | — | 2 | 2 | no | — |
| 203 | #557 | — | 2 | 2 | no | — |
| 204 | #557 | D4 | 1 | 1 | yes | characteristic |
| 205 | #557 | D4 | 1 | 2 | yes | — |
| 206 | #557 | C23 | 1 | 6 | yes | — |
| 207 | #557 | C23 | 1 | 12 | yes | — |
| 208 | #557 | C23 | 1 | 3 | yes | — |
| 209 | #557 | C23 | 1 | 3 | yes | — |
| 210 | #557 | C23 | 1 | 12 | yes | — |
| 211 | #557 | C23 | 1 | 6 | yes | — |
| 212 | #557 | C23 | 1 | 6 | yes | — |
| 213 | #554 | — | 2 | 3 | no | — |
| 214 | #554 | — | 2 | 6 | no | — |
| 215 | #554 | — | 2 | 6 | no | — |
| 216 | #554 | — | 2 | 6 | no | — |
| 217 | #554 | — | 2 | 6 | no | — |
| 218 | #554 | — | 2 | 12 | no | — |
| 219 | #554 | — | 2 | 12 | no | — |
| 220 | #554 | — | 2 | 6 | no | — |
| 221 | #554 | — | 2 | 12 | no | — |
| 222 | #554 | — | 2 | 6 | no | — |
| 223 | #554 | — | 2 | 6 | no | — |
| 224 | #554 | — | 2 | 6 | no | — |
| 225 | #554 | — | 2 | 3 | no | — |
| 226 | #554 | — | 2 | 6 | no | — |
| 227 | #554 | — | 2 | 3 | no | — |
| 228 | #554 | — | 2 | 3 | no | — |
| 229 | #554 | — | 2 | 3 | no | — |
| 230 | #554 | — | 2 | 6 | no | — |
| 231 | #554 | — | 2 | 6 | no | — |
| 232 | #554 | D4 | 1 | 3 | yes | — |
| 233 | #554 | D4 | 1 | 6 | yes | — |
| 234 | #554 | C23 | 1 | 6 | yes | — |
| 235 | #554 | C23 | 1 | 6 | yes | — |
| 236 | #554 | C23 | 1 | 3 | yes | — |
| 237 | #554 | C23 | 1 | 12 | yes | — |
| 238 | #554 | C23 | 1 | 1 | yes | characteristic |
| 239 | #554 | C23 | 1 | 6 | yes | — |
| 240 | #554 | C23 | 1 | 6 | yes | — |
| 241 | D4×Q8 | — | 2 | 3 | no | — |
| 242 | D4×Q8 | — | 2 | 3 | no | — |
| 243 | D4×Q8 | — | 2 | 3 | no | — |
| 244 | D4×Q8 | — | 2 | 6 | no | — |
| 245 | D4×Q8 | — | 2 | 6 | no | — |
| 246 | D4×Q8 | — | 2 | 12 | no | — |
| 247 | D4×Q8 | — | 2 | 6 | no | — |
| 248 | D4×Q8 | — | 2 | 3 | no | — |
| 249 | D4×Q8 | — | 2 | 3 | no | — |
| 250 | D4×Q8 | — | 2 | 6 | no | — |
| 251 | D4×Q8 | — | 2 | 3 | no | — |
| 252 | D4×Q8 | — | 2 | 6 | no | — |
| 253 | D4×Q8 | — | 2 | 3 | no | — |
| 254 | D4×Q8 | D4 | 1 | 3 | yes | — |
| 255 | D4×Q8 | C23 | 1 | 3 | yes | — |
| 256 | D4×Q8 | C23 | 1 | 6 | yes | — |
| 257 | D4×Q8 | C23 | 1 | 3 | yes | — |
| 258 | D4×Q8 | C23 | 1 | 12 | yes | — |
| 259 | #544 | — | 2 | 6 | no | — |
| 260 | #544 | — | 2 | 6 | no | — |
| 261 | #544 | — | 2 | 6 | no | — |
| 262 | #544 | — | 2 | 6 | no | — |
| 263 | #544 | — | 2 | 6 | no | — |
| 264 | #544 | — | 2 | 6 | no | — |
| 265 | #544 | — | 2 | 12 | no | — |
| 266 | #544 | — | 2 | 6 | no | — |
| 267 | #544 | C23 | 1 | 6 | yes | — |
| 268 | #544 | C23 | 1 | 6 | yes | — |
| 269 | #544 | C23 | 1 | 6 | yes | — |
| 270 | #544 | C23 | 1 | 6 | yes | — |
| 271 | #544 | C23 | 1 | 6 | yes | — |
| 272 | #544 | C23 | 1 | 6 | yes | — |
| 273 | #543 | — | 2 | 12 | no | — |
| 274 | #543 | — | 2 | 6 | no | — |
| 275 | #533 | — | 2 | 3 | no | — |
| 276 | #533 | — | 2 | 6 | no | — |
| 277 | #533 | — | 2 | 3 | no | — |
| 278 | #533 | — | 2 | 6 | no | — |
| 279 | #533 | — | 2 | 6 | no | — |
| 280 | #533 | — | 2 | 12 | no | — |
| 281 | #533 | — | 2 | 3 | no | — |
| 282 | #533 | — | 2 | 6 | no | — |
| 283 | #533 | — | 2 | 3 | no | — |
| 284 | #533 | — | 2 | 6 | no | — |
| 285 | #533 | C23 | 1 | 3 | yes | — |
| 286 | #533 | C23 | 1 | 6 | yes | — |
| 287 | #533 | C23 | 1 | 3 | yes | — |
| 288 | #533 | C23 | 1 | 6 | yes | — |
| 289 | #533 | C23 | 1 | 3 | yes | — |
| 290 | #533 | C23 | 1 | 6 | yes | — |
| 291 | C2×C4⋊Q8 | — | 2 | 3 | no | — |
| 292 | C2×C4⋊Q8 | — | 2 | 3 | no | — |
| 293 | C2×C4⋊Q8 | — | 2 | 6 | no | — |
| 294 | C2×C4⋊Q8 | — | 2 | 3 | no | — |
| 295 | C2×C4⋊Q8 | C23 | 1 | 3 | yes | — |
| 296 | C2×C4⋊Q8 | C23 | 1 | 6 | yes | — |
| 297 | C2×C4⋊Q8 | C23 | 1 | 3 | yes | — |
| 298 | C2×#125 | — | 2 | 6 | no | — |
| 299 | C2×#125 | — | 2 | 6 | no | — |
| 300 | C2×#125 | C23 | 1 | 6 | yes | — |
| 301 | C2×C22⋊Q8 | — | 2 | 6 | no | — |
| 302 | C2×C22⋊Q8 | — | 2 | 12 | no | — |
| 303 | C2×C22⋊Q8 | — | 2 | 3 | no | — |
| 304 | C2×C22⋊Q8 | — | 2 | 6 | no | — |
| 305 | #520 | — | 2 | 2 | no | — |
| 306 | #520 | — | 2 | 1 | no | — |
| 307 | #520 | — | 2 | 6 | no | — |
| 308 | #520 | — | 2 | 3 | no | — |
| 309 | #520 | C23 | 1 | 3 | yes | — |
| 310 | #520 | C23 | 1 | 6 | yes | — |
| 311 | #520 | C23 | 1 | 6 | yes | — |
| 312 | #520 | C23 | 1 | 3 | yes | — |
| 313 | #520 | C23 | 1 | 1 | yes | characteristic |
| 314 | #520 | C23 | 1 | 2 | yes | — |
| 315 | #520 | C23 | 1 | 1 | yes | characteristic |
| 316 | #520 | C23 | 1 | 2 | yes | — |
| 317 | #519 | — | 2 | 1 | no | — |
| 318 | #519 | — | 2 | 2 | no | — |
| 319 | #519 | C23 | 1 | 3 | yes | — |
| 320 | #519 | C23 | 1 | 6 | yes | — |
| 321 | #518 | — | 2 | 6 | no | — |
| 322 | #518 | — | 2 | 3 | no | — |
| 323 | #518 | C23 | 1 | 6 | yes | — |
| 324 | #518 | C23 | 1 | 3 | yes | — |
| 325 | C4×#41 | — | 2 | 1 | no | — |
| 326 | C4×#41 | — | 2 | 2 | no | — |
| 327 | C4×#41 | — | 2 | 3 | no | — |
| 328 | C4×#41 | — | 2 | 6 | no | — |
| 329 | C4×#41 | C23 | 1 | 3 | yes | — |
| 330 | C4×#41 | C23 | 1 | 6 | yes | — |
| 331 | C4×#41 | C23 | 1 | 3 | yes | — |
| 332 | C4×#41 | C23 | 1 | 6 | yes | — |
| 333 | C4×#41 | C23 | 1 | 1 | yes | characteristic |
| 334 | C4×#41 | C23 | 1 | 2 | yes | — |
| 335 | C2×C4×Q8 | — | 2 | 2 | no | — |
| 336 | C2×C4×Q8 | — | 2 | 1 | no | — |
| 337 | C2×C4×Q8 | — | 2 | 3 | no | — |
| 338 | C2×C4×Q8 | — | 2 | 3 | no | — |
| 339 | C2×C4×Q8 | — | 2 | 3 | no | — |
| 340 | C2×C4×Q8 | C23 | 1 | 3 | yes | — |
| 341 | C2×C4×Q8 | C23 | 1 | 6 | yes | — |
| 342 | C2×C4×Q8 | C23 | 1 | 3 | yes | — |
| 343 | C2×C4×D4 | — | 2 | 3 | no | — |
| 344 | C2×C4×D4 | — | 2 | 6 | no | — |
| 345 | C2×C4×D4 | C23 | 1 | 6 | yes | — |
| 346 | C2×C4×D4 | C23 | 1 | 3 | yes | — |
| 347 | #501 | C23 | 1 | 6 | yes | — |
| 348 | #501 | C23 | 1 | 12 | yes | — |
| 349 | #501 | C23 | 1 | 6 | yes | — |
| 350 | #501 | C23 | 1 | 12 | yes | — |
| 351 | #501 | C23 | 1 | 6 | yes | — |
| 352 | #501 | C23 | 1 | 12 | yes | — |
| 353 | #501 | C23 | 1 | 2 | yes | — |
| 354 | #501 | C23 | 1 | 6 | yes | — |
| 355 | #501 | C23 | 1 | 12 | yes | — |
| 356 | #501 | C23 | 1 | 6 | yes | — |
| 357 | #501 | C23 | 1 | 12 | yes | — |
| 358 | #501 | C23 | 1 | 6 | yes | — |
| 359 | #501 | C23 | 1 | 6 | yes | — |
| 360 | #500 | C23 | 1 | 12 | yes | — |
| 361 | #500 | C23 | 1 | 6 | yes | — |
| 362 | #500 | C23 | 1 | 6 | yes | — |
| 363 | #500 | C23 | 1 | 1 | yes | characteristic |
| 364 | #500 | C23 | 1 | 6 | yes | — |
| 365 | #500 | C23 | 1 | 3 | yes | — |
| 366 | #499 | C23 | 1 | 12 | yes | — |
| 367 | #499 | C23 | 1 | 6 | yes | — |
| 368 | #499 | C23 | 1 | 12 | yes | — |
| 369 | #499 | C23 | 1 | 6 | yes | — |
| 370 | #498 | C23 | 1 | 3 | yes | — |
| 371 | #498 | C23 | 1 | 12 | yes | — |
| 372 | #498 | C23 | 1 | 3 | yes | — |
| 373 | #479 | C23 | 1 | 2 | yes | — |
| 374 | #479 | C23 | 1 | 6 | yes | — |
| 375 | #479 | C23 | 1 | 6 | yes | — |
| 376 | #479 | C23 | 1 | 6 | yes | — |
| 377 | #479 | C23 | 1 | 6 | yes | — |
| 378 | #479 | C23 | 1 | 6 | yes | — |
| 379 | #479 | C23 | 1 | 12 | yes | — |
| 380 | #479 | C23 | 1 | 12 | yes | — |
| 381 | #479 | C23 | 1 | 12 | yes | — |
| 382 | #479 | C23 | 1 | 12 | yes | — |
| 383 | #478 | C23 | 1 | 6 | yes | — |
| 384 | #478 | C23 | 1 | 12 | yes | — |
| 385 | #478 | C23 | 1 | 12 | yes | — |
| 386 | #478 | C23 | 1 | 12 | yes | — |
| 387 | #478 | C23 | 1 | 6 | yes | — |
| 388 | #478 | C23 | 1 | 6 | yes | — |
| 389 | #478 | C23 | 1 | 6 | yes | — |
| 390 | #478 | C23 | 1 | 6 | yes | — |
| 391 | #478 | C23 | 1 | 6 | yes | — |
| 392 | #478 | C23 | 1 | 12 | yes | — |
| 393 | #478 | C23 | 1 | 12 | yes | — |
| 394 | #477 | C23 | 1 | 6 | yes | — |
| 395 | #477 | C23 | 1 | 12 | yes | — |
| 396 | #477 | C23 | 1 | 12 | yes | — |
| 397 | #477 | C23 | 1 | 12 | yes | — |
| 398 | #477 | C23 | 1 | 1 | yes | characteristic |
| 399 | #477 | C23 | 1 | 6 | yes | — |
| 400 | #477 | C23 | 1 | 3 | yes | — |
| 401 | #477 | C23 | 1 | 6 | yes | — |
| 402 | #477 | C23 | 1 | 6 | yes | — |
| 403 | #476 | C23 | 1 | 3 | yes | — |
| 404 | #476 | C23 | 1 | 6 | yes | — |
| 405 | #476 | C23 | 1 | 1 | yes | characteristic |
| 406 | #476 | C23 | 1 | 6 | yes | — |
| 407 | #476 | C23 | 1 | 12 | yes | — |
| 408 | #476 | C23 | 1 | 6 | yes | — |
| 409 | #476 | C23 | 1 | 6 | yes | — |
| 410 | #475 | C23 | 1 | 3 | yes | — |
| 411 | #475 | C23 | 1 | 6 | yes | — |
| 412 | #475 | C23 | 1 | 12 | yes | — |
| 413 | #475 | C23 | 1 | 3 | yes | — |
| 414 | #475 | C23 | 1 | 6 | yes | — |
| 415 | #475 | C23 | 1 | 6 | yes | — |
| 416 | #475 | C23 | 1 | 12 | yes | — |
| 417 | #474 | C23 | 1 | 6 | yes | — |
| 418 | #474 | C23 | 1 | 3 | yes | — |
| 419 | #474 | C23 | 1 | 2 | yes | — |
| 420 | #474 | C23 | 1 | 3 | yes | — |
| 421 | #474 | C23 | 1 | 6 | yes | — |
| 422 | #474 | C23 | 1 | 12 | yes | — |
| 423 | #474 | C23 | 1 | 12 | yes | — |
| 424 | #474 | C23 | 1 | 12 | yes | — |
| 425 | #446 | C23 | 1 | 3 | yes | — |
| 426 | #446 | C23 | 1 | 3 | yes | — |
| 427 | #446 | C23 | 1 | 12 | yes | — |
| 428 | #446 | C23 | 1 | 6 | yes | — |
| 429 | #446 | C23 | 1 | 1 | yes | characteristic |
| 430 | #446 | C23 | 1 | 3 | yes | — |
| 431 | #446 | C23 | 1 | 12 | yes | — |
| 432 | #446 | C23 | 1 | 6 | yes | — |
| 433 | #446 | C23 | 1 | 6 | yes | — |
| 434 | C8×Q8 | C23 | 1 | 6 | yes | — |
| 435 | C8×Q8 | C23 | 1 | 6 | yes | — |
| 436 | #442 | C23 | 1 | 6 | yes | — |
| 437 | #442 | C23 | 1 | 6 | yes | — |
| 438 | #442 | C23 | 1 | 6 | yes | — |
| 439 | #441 | C23 | 1 | 6 | yes | — |
| 440 | #441 | C23 | 1 | 6 | yes | — |
| 441 | #441 | C23 | 1 | 6 | yes | — |
| 442 | #440 | C23 | 1 | 6 | yes | — |
| 443 | #440 | C23 | 1 | 6 | yes | — |
| 444 | #440 | C23 | 1 | 12 | yes | — |
| 445 | #440 | C23 | 1 | 12 | yes | — |
| 446 | #440 | C23 | 1 | 2 | yes | — |
| 447 | #440 | C23 | 1 | 6 | yes | — |
| 448 | #440 | C23 | 1 | 6 | yes | — |
| 449 | #440 | C23 | 1 | 12 | yes | — |
| 450 | #440 | C23 | 1 | 6 | yes | — |
| 451 | C4×Q16 | C23 | 1 | 3 | yes | — |
| 452 | C4×Q16 | C23 | 1 | 12 | yes | — |
| 453 | C4×Q16 | C23 | 1 | 3 | yes | — |
| 454 | C4×SD16 | C23 | 1 | 6 | yes | — |
| 455 | C4×SD16 | C23 | 1 | 12 | yes | — |
| 456 | C4×SD16 | C23 | 1 | 12 | yes | — |
| 457 | C4×SD16 | C23 | 1 | 6 | yes | — |
| 458 | C4×SD16 | C23 | 1 | 3 | yes | — |
| 459 | C4×SD16 | C23 | 1 | 3 | yes | — |
| 460 | C4×SD16 | C23 | 1 | 3 | yes | — |
| 461 | C4×SD16 | C23 | 1 | 1 | yes | characteristic |
| 462 | C4×SD16 | C23 | 1 | 6 | yes | — |
| 463 | C4×D8 | C23 | 1 | 3 | yes | — |
| 464 | C4×D8 | C23 | 1 | 12 | yes | — |
| 465 | C4×D8 | C23 | 1 | 3 | yes | — |
| 466 | #428 | C23 | 1 | 6 | yes | — |
| 467 | #428 | C23 | 1 | 6 | yes | — |
| 468 | #428 | C23 | 1 | 6 | yes | — |
| 469 | #428 | C23 | 1 | 6 | yes | — |
| 470 | #428 | C23 | 1 | 6 | yes | — |
| 471 | #428 | C23 | 1 | 6 | yes | — |
| 472 | #428 | C23 | 1 | 3 | yes | — |
| 473 | #428 | C23 | 1 | 6 | yes | — |
| 474 | #428 | C23 | 1 | 3 | yes | — |
| 475 | #428 | C23 | 1 | 6 | yes | — |
| 476 | #427 | C23 | 1 | 6 | yes | — |
| 477 | #427 | C23 | 1 | 6 | yes | — |
| 478 | #427 | C23 | 1 | 6 | yes | — |
| 479 | #427 | C23 | 1 | 6 | yes | — |
| 480 | #427 | C23 | 1 | 3 | yes | — |
| 481 | C2×#107 | C23 | 1 | 6 | yes | — |
| 482 | C2×#107 | C23 | 1 | 6 | yes | — |
| 483 | C2×#107 | C23 | 1 | 6 | yes | — |
| 484 | C2×#106 | C23 | 1 | 6 | yes | — |
| 485 | C2×#106 | C23 | 1 | 3 | yes | — |
| 486 | #424 | C23 | 1 | 6 | yes | — |
| 487 | #424 | C23 | 1 | 6 | yes | — |
| 488 | #424 | C23 | 1 | 6 | yes | — |
| 489 | #423 | C23 | 1 | 3 | yes | — |
| 490 | #423 | C23 | 1 | 6 | yes | — |
| 491 | C2×C4⋊C8 | C23 | 1 | 6 | yes | — |
| 492 | C2×C4⋊C8 | C23 | 1 | 3 | yes | — |
| 493 | #419 | C23 | 1 | 3 | yes | — |
| 494 | #419 | C23 | 1 | 6 | yes | — |
| 495 | #418 | C23 | 1 | 6 | yes | — |
| 496 | #418 | C23 | 1 | 3 | yes | — |
| 497 | #417 | C23 | 1 | 6 | yes | — |
| 498 | #417 | C23 | 1 | 3 | yes | — |
| 499 | #417 | C23 | 1 | 6 | yes | — |
| 500 | #417 | C23 | 1 | 3 | yes | — |
| 501 | #416 | C23 | 1 | 3 | yes | — |
| 502 | #416 | C23 | 1 | 6 | yes | — |
| 503 | #416 | C23 | 1 | 3 | yes | — |
| 504 | #416 | C23 | 1 | 6 | yes | — |
| 505 | C2×#103 | C23 | 1 | 6 | yes | — |
| 506 | C2×#103 | C23 | 1 | 3 | yes | — |
| 507 | C2×#102 | C23 | 1 | 3 | yes | — |
| 508 | C2×#102 | C23 | 1 | 6 | yes | — |
| 509 | #405 | C23 | 1 | 3 | yes | — |
| 510 | #405 | C23 | 1 | 3 | yes | — |
| 511 | #405 | C23 | 1 | 6 | yes | — |
| 512 | #405 | C23 | 1 | 6 | yes | — |
| 513 | C4×M16 | C23 | 1 | 3 | yes | — |
| 514 | C4×M16 | C23 | 1 | 6 | yes | — |
| 515 | C2×#97 | C23 | 1 | 6 | yes | — |
| 516 | C2×C4×C8 | C23 | 1 | 3 | yes | — |
| 517 | 2−1+4 | — | 2 | 4 | no | — |
| 518 | 2−1+4 | C2×Q8 | 1 | 8 | yes | complemented |
| 519 | H(5,𝔽2) | — | 2 | 4 | no | — |
| 520 | H(5,𝔽2) | C2×Q8 | 1 | 8 | yes | complemented |
| 521 | C2×#41 | — | 2 | 1 | no | — |
| 522 | C2×#41 | — | 2 | 3 | no | — |
| 523 | C2×#41 | C24 | 1 | 3 | yes | — |
| 524 | C2×#41 | C24 | 1 | 3 | yes | — |
| 525 | C2×#41 | C24 | 1 | 1 | yes | characteristic |
| 526 | C22×Q8 | — | 2 | 1 | no | — |
| 527 | C22×Q8 | — | 2 | 3 | no | — |
| 528 | C22×Q8 | — | 2 | 3 | no | — |
| 529 | C22×Q8 | — | 2 | 6 | no | — |
| 530 | C22×Q8 | — | 2 | 12 | no | — |
| 531 | C22×Q8 | — | 2 | 3 | no | — |
| 532 | C22×Q8 | — | 2 | 3 | no | — |
| 533 | C22×Q8 | — | 2 | 6 | no | — |
| 534 | C22×Q8 | — | 8 | 12 | no | — |
| 535 | C22×Q8 | C2×D4 | 1 | 3 | yes | — |
| 536 | C22×Q8 | C24 | 1 | 3 | yes | — |
| 537 | C22×D4 | — | 2 | 3 | no | — |
| 538 | C22×D4 | C24 | 1 | 3 | yes | — |
| 539 | C23×C4 | — | 2 | 3 | no | — |
| 540 | C23×C4 | — | 2 | 6 | no | — |
| 541 | #137 | C2×Q8 | 1 | 24 | yes | complemented |
| 542 | AGL(1,ℤ/8) | C2×Q8 | 1 | 24 | yes | complemented |
| 543 | #135 | C2×Q8 | 1 | 24 | yes | complemented |
| 544 | C2×Q16 | C24 | 1 | 3 | yes | — |
| 545 | C2×SD16 | C2×Q8 | 1 | 24 | yes | complemented |
| 546 | C2×SD16 | C24 | 1 | 3 | yes | — |
| 547 | C2×SD16 | C24 | 1 | 6 | yes | — |
| 548 | C2×SD16 | C24 | 1 | 1 | yes | characteristic |
| 549 | C2×D8 | C24 | 1 | 3 | yes | — |
| 550 | #131 | — | 2 | 4 | no | — |
| 551 | #131 | — | 2 | 8 | no | — |
| 552 | #131 | C2×Q8 | 1 | 8 | yes | complemented |
| 553 | C2×M16 | C24 | 1 | 3 | yes | — |
| 554 | C2×M16 | C24 | 1 | 6 | yes | — |
| 555 | C2×M16 | C24 | 1 | 3 | yes | — |
| 556 | C22×C8 | C24 | 1 | 3 | yes | — |
| 557 | C22×C8 | C24 | 1 | 6 | yes | — |
| 558 | C22×C8 | C24 | 1 | 3 | yes | — |
| 559 | C4⋊Q8 | — | 2 | 3 | no | — |
| 560 | C4⋊Q8 | — | 2 | 6 | no | — |
| 561 | C4⋊Q8 | — | 2 | 3 | no | — |
| 562 | C4⋊Q8 | — | 2 | 6 | no | — |
| 563 | C4⋊Q8 | — | 2 | 12 | no | — |
| 564 | C4⋊Q8 | — | 2 | 6 | no | — |
| 565 | C4⋊Q8 | — | 2 | 12 | no | — |
| 566 | C4⋊Q8 | — | 2 | 6 | no | — |
| 567 | C4⋊Q8 | — | 2 | 12 | no | — |
| 568 | C4⋊Q8 | — | 2 | 6 | no | — |
| 569 | C4⋊Q8 | — | 2 | 6 | no | — |
| 570 | C4⋊Q8 | — | 2 | 6 | no | — |
| 571 | C4⋊Q8 | — | 2 | 6 | no | — |
| 572 | C4⋊Q8 | — | 2 | 6 | no | — |
| 573 | C4⋊Q8 | — | 2 | 1 | no | — |
| 574 | C4⋊Q8 | — | 2 | 2 | no | — |
| 575 | C4⋊Q8 | — | 2 | 3 | no | — |
| 576 | C4⋊Q8 | — | 2 | 12 | no | — |
| 577 | C4⋊Q8 | — | 2 | 6 | no | — |
| 578 | C4⋊Q8 | — | 2 | 6 | no | — |
| 579 | C4⋊Q8 | — | 2 | 6 | no | — |
| 580 | C4⋊Q8 | — | 2 | 3 | no | — |
| 581 | C4⋊Q8 | — | 2 | 6 | no | — |
| 582 | C4⋊Q8 | — | 2 | 3 | no | — |
| 583 | C4⋊Q8 | — | 2 | 6 | no | — |
| 584 | C4⋊Q8 | — | 2 | 3 | no | — |
| 585 | C4⋊Q8 | — | 2 | 3 | no | — |
| 586 | C4⋊Q8 | C2×D4 | 1 | 3 | yes | — |
| 587 | C4⋊Q8 | C2×D4 | 1 | 6 | yes | — |
| 588 | C4⋊Q8 | C2×D4 | 1 | 3 | yes | — |
| 589 | C4⋊Q8 | C2×D4 | 1 | 6 | yes | — |
| 590 | C4⋊Q8 | C24 | 1 | 3 | yes | — |
| 591 | C4⋊Q8 | C24 | 1 | 6 | yes | — |
| 592 | C4⋊Q8 | C24 | 1 | 3 | yes | — |
| 593 | C4⋊Q8 | C24 | 1 | 12 | yes | — |
| 594 | C4⋊Q8 | C24 | 1 | 6 | yes | — |
| 595 | C4⋊Q8 | C24 | 1 | 6 | yes | — |
| 596 | C4⋊Q8 | C24 | 1 | 2 | yes | — |
| 597 | C4⋊Q8 | C24 | 1 | 1 | yes | characteristic |
| 598 | C4⋊Q8 | C24 | 1 | 1 | yes | characteristic |
| 599 | C4⋊Q8 | C24 | 1 | 6 | yes | — |
| 600 | C4⋊Q8 | C24 | 1 | 6 | yes | — |
| 601 | #125 | — | 2 | 12 | no | — |
| 602 | #125 | — | 2 | 6 | no | — |
| 603 | #125 | — | 2 | 12 | no | — |
| 604 | #125 | — | 2 | 12 | no | — |
| 605 | #125 | — | 2 | 12 | no | — |
| 606 | #125 | — | 2 | 6 | no | — |
| 607 | #125 | — | 2 | 6 | no | — |
| 608 | #125 | — | 2 | 6 | no | — |
| 609 | #125 | — | 2 | 6 | no | — |
| 610 | #125 | — | 2 | 6 | no | — |
| 611 | #125 | — | 2 | 6 | no | — |
| 612 | #125 | — | 2 | 12 | no | — |
| 613 | #125 | — | 2 | 6 | no | — |
| 614 | #125 | — | 2 | 6 | no | — |
| 615 | #125 | — | 2 | 6 | no | — |
| 616 | #125 | — | 2 | 6 | no | — |
| 617 | #125 | — | 2 | 6 | no | — |
| 618 | #125 | — | 2 | 6 | no | — |
| 619 | #125 | — | 2 | 6 | no | — |
| 620 | #125 | C2×D4 | 1 | 6 | yes | — |
| 621 | #125 | C2×D4 | 1 | 6 | yes | — |
| 622 | #125 | C2×D4 | 1 | 6 | yes | — |
| 623 | #125 | C24 | 1 | 6 | yes | — |
| 624 | #125 | C24 | 1 | 12 | yes | — |
| 625 | #125 | C24 | 1 | 2 | yes | — |
| 626 | #125 | C24 | 1 | 6 | yes | — |
| 627 | #125 | C24 | 1 | 6 | yes | — |
| 628 | #125 | C24 | 1 | 6 | yes | — |
| 629 | #125 | C24 | 1 | 6 | yes | — |
| 630 | C22⋊Q8 | — | 2 | 3 | no | — |
| 631 | C22⋊Q8 | — | 2 | 6 | no | — |
| 632 | C22⋊Q8 | — | 2 | 1 | no | — |
| 633 | C22⋊Q8 | — | 2 | 6 | no | — |
| 634 | C22⋊Q8 | — | 2 | 12 | no | — |
| 635 | C22⋊Q8 | — | 2 | 6 | no | — |
| 636 | C22⋊Q8 | — | 2 | 6 | no | — |
| 637 | C22⋊Q8 | — | 2 | 3 | no | — |
| 638 | C22⋊Q8 | — | 2 | 6 | no | — |
| 639 | C22⋊Q8 | — | 2 | 3 | no | — |
| 640 | C22⋊Q8 | — | 2 | 6 | no | — |
| 641 | C22⋊Q8 | — | 2 | 6 | no | — |
| 642 | C22⋊Q8 | — | 2 | 3 | no | — |
| 643 | C22⋊Q8 | — | 2 | 6 | no | — |
| 644 | C22⋊Q8 | — | 2 | 3 | no | — |
| 645 | C22⋊Q8 | — | 2 | 3 | no | — |
| 646 | C22⋊Q8 | — | 2 | 6 | no | — |
| 647 | C22⋊Q8 | — | 2 | 12 | no | — |
| 648 | C22⋊Q8 | — | 2 | 6 | no | — |
| 649 | C22⋊Q8 | — | 2 | 12 | no | — |
| 650 | C22⋊Q8 | — | 2 | 12 | no | — |
| 651 | C22⋊Q8 | — | 2 | 12 | no | — |
| 652 | C22⋊Q8 | — | 2 | 12 | no | — |
| 653 | C22⋊Q8 | — | 2 | 12 | no | — |
| 654 | C22⋊Q8 | — | 2 | 12 | no | — |
| 655 | C22⋊Q8 | — | 2 | 3 | no | — |
| 656 | C22⋊Q8 | — | 2 | 6 | no | — |
| 657 | C22⋊Q8 | — | 2 | 2 | no | — |
| 658 | C22⋊Q8 | — | 2 | 6 | no | — |
| 659 | C22⋊Q8 | — | 2 | 6 | no | — |
| 660 | C22⋊Q8 | — | 2 | 6 | no | — |
| 661 | C22⋊Q8 | — | 2 | 12 | no | — |
| 662 | C22⋊Q8 | — | 2 | 6 | no | — |
| 663 | C22⋊Q8 | — | 2 | 6 | no | — |
| 664 | C22⋊Q8 | — | 2 | 12 | no | — |
| 665 | C22⋊Q8 | — | 2 | 12 | no | — |
| 666 | C22⋊Q8 | — | 2 | 12 | no | — |
| 667 | C22⋊Q8 | — | 2 | 12 | no | — |
| 668 | C22⋊Q8 | — | 2 | 12 | no | — |
| 669 | C22⋊Q8 | — | 2 | 12 | no | — |
| 670 | C22⋊Q8 | C2×D4 | 1 | 6 | yes | — |
| 671 | C22⋊Q8 | C2×D4 | 1 | 12 | yes | — |
| 672 | C22⋊Q8 | C2×D4 | 1 | 12 | yes | — |
| 673 | C22⋊Q8 | C2×D4 | 1 | 6 | yes | — |
| 674 | C4×Q8 | — | 2 | 1 | no | — |
| 675 | C4×Q8 | — | 2 | 1 | no | — |
| 676 | C4×Q8 | — | 2 | 2 | no | — |
| 677 | C4×Q8 | — | 2 | 3 | no | — |
| 678 | C4×Q8 | — | 2 | 1 | no | — |
| 679 | C4×Q8 | — | 2 | 2 | no | — |
| 680 | C4×Q8 | — | 2 | 6 | no | — |
| 681 | C4×Q8 | — | 2 | 6 | no | — |
| 682 | C4×Q8 | — | 2 | 3 | no | — |
| 683 | C4×Q8 | — | 2 | 3 | no | — |
| 684 | C4×Q8 | — | 2 | 6 | no | — |
| 685 | C4×Q8 | — | 2 | 3 | no | — |
| 686 | C4×Q8 | — | 2 | 6 | no | — |
| 687 | C4×Q8 | — | 2 | 6 | no | — |
| 688 | C4×Q8 | — | 2 | 12 | no | — |
| 689 | C4×Q8 | — | 2 | 6 | no | — |
| 690 | C4×Q8 | — | 2 | 6 | no | — |
| 691 | C4×Q8 | — | 2 | 3 | no | — |
| 692 | C4×Q8 | — | 2 | 12 | no | — |
| 693 | C4×Q8 | — | 2 | 6 | no | — |
| 694 | C4×Q8 | — | 2 | 3 | no | — |
| 695 | C4×Q8 | — | 2 | 3 | no | — |
| 696 | C4×Q8 | — | 2 | 6 | no | — |
| 697 | C4×Q8 | — | 2 | 3 | no | — |
| 698 | C4×Q8 | — | 2 | 6 | no | — |
| 699 | C4×Q8 | — | 2 | 3 | no | — |
| 700 | C4×Q8 | — | 2 | 6 | no | — |
| 701 | C4×Q8 | — | 2 | 6 | no | — |
| 702 | C4×Q8 | — | 2 | 3 | no | — |
| 703 | C4×Q8 | — | 2 | 6 | no | — |
| 704 | C4×Q8 | — | 2 | 3 | no | — |
| 705 | C4×Q8 | C2×D4 | 1 | 3 | yes | — |
| 706 | C4×Q8 | C2×D4 | 1 | 3 | yes | — |
| 707 | C4×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 708 | C4×Q8 | C2×D4 | 1 | 2 | yes | — |
| 709 | C4×Q8 | C2×D4 | 1 | 6 | yes | — |
| 710 | C4×Q8 | C2×D4 | 1 | 2 | yes | — |
| 711 | C4×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 712 | C4×Q8 | C24 | 1 | 6 | yes | — |
| 713 | C4×Q8 | C24 | 1 | 3 | yes | — |
| 714 | C4×Q8 | C24 | 1 | 6 | yes | — |
| 715 | C4×Q8 | C24 | 1 | 12 | yes | — |
| 716 | C4×Q8 | C24 | 1 | 1 | yes | characteristic |
| 717 | C4×Q8 | C24 | 1 | 2 | yes | — |
| 718 | C4×Q8 | C24 | 1 | 6 | yes | — |
| 719 | C4×Q8 | C24 | 1 | 3 | yes | — |
| 720 | C4×Q8 | C24 | 1 | 3 | yes | — |
| 721 | C4×Q8 | C24 | 1 | 6 | yes | — |
| 722 | C4×Q8 | C24 | 1 | 1 | yes | characteristic |
| 723 | C4×Q8 | C24 | 1 | 3 | yes | — |
| 724 | C4×Q8 | C24 | 1 | 6 | yes | — |
| 725 | C4×Q8 | C24 | 1 | 6 | yes | — |
| 726 | C4×D4 | — | 2 | 3 | no | — |
| 727 | C4×D4 | — | 2 | 6 | no | — |
| 728 | C4×D4 | — | 2 | 6 | no | — |
| 729 | C4×D4 | — | 2 | 3 | no | — |
| 730 | C4×D4 | — | 2 | 3 | no | — |
| 731 | C4×D4 | — | 2 | 6 | no | — |
| 732 | C4×D4 | — | 2 | 3 | no | — |
| 733 | C4×D4 | — | 2 | 6 | no | — |
| 734 | C4×D4 | — | 2 | 6 | no | — |
| 735 | C4×D4 | — | 2 | 3 | no | — |
| 736 | C4×D4 | — | 2 | 6 | no | — |
| 737 | C4×D4 | — | 2 | 3 | no | — |
| 738 | C4×D4 | — | 2 | 6 | no | — |
| 739 | C4×D4 | — | 2 | 3 | no | — |
| 740 | C4×D4 | — | 2 | 3 | no | — |
| 741 | C4×D4 | — | 2 | 6 | no | — |
| 742 | C4×D4 | — | 2 | 6 | no | — |
| 743 | C4×D4 | — | 2 | 12 | no | — |
| 744 | C4×D4 | — | 2 | 12 | no | — |
| 745 | C4×D4 | — | 2 | 6 | no | — |
| 746 | C4×D4 | — | 2 | 3 | no | — |
| 747 | C4×D4 | — | 2 | 6 | no | — |
| 748 | C4×D4 | — | 2 | 6 | no | — |
| 749 | C4×D4 | — | 2 | 3 | no | — |
| 750 | C4×D4 | C2×D4 | 1 | 3 | yes | — |
| 751 | C4×D4 | C2×D4 | 1 | 6 | yes | — |
| 752 | C4×D4 | C2×D4 | 1 | 6 | yes | — |
| 753 | C4×D4 | C2×D4 | 1 | 3 | yes | — |
| 754 | C4×D4 | C24 | 1 | 3 | yes | — |
| 755 | C4×D4 | C24 | 1 | 6 | yes | — |
| 756 | C4×D4 | C24 | 1 | 12 | yes | — |
| 757 | C4×D4 | C24 | 1 | 6 | yes | — |
| 758 | C4×D4 | C24 | 1 | 1 | yes | characteristic |
| 759 | C4×D4 | C24 | 1 | 2 | yes | — |
| 760 | C4×D4 | C24 | 1 | 3 | yes | — |
| 761 | C4×D4 | C24 | 1 | 6 | yes | — |
| 762 | C4×D4 | C24 | 1 | 6 | yes | — |
| 763 | C4×D4 | C24 | 1 | 3 | yes | — |
| 764 | #117 | — | 2 | 3 | no | — |
| 765 | #117 | — | 2 | 6 | no | — |
| 766 | #117 | — | 2 | 3 | no | — |
| 767 | #117 | — | 2 | 6 | no | — |
| 768 | #117 | — | 2 | 6 | no | — |
| 769 | #117 | — | 2 | 12 | no | — |
| 770 | #117 | — | 2 | 6 | no | — |
| 771 | #117 | — | 2 | 3 | no | — |
| 772 | #117 | — | 2 | 6 | no | — |
| 773 | #117 | — | 2 | 3 | no | — |
| 774 | #117 | C24 | 1 | 3 | yes | — |
| 775 | #117 | C24 | 1 | 6 | yes | — |
| 776 | #117 | C24 | 1 | 3 | yes | — |
| 777 | #117 | C24 | 1 | 6 | yes | — |
| 778 | #117 | C24 | 1 | 6 | yes | — |
| 779 | #117 | C24 | 1 | 3 | yes | — |
| 780 | C2×C4⋊C4 | — | 2 | 6 | no | — |
| 781 | C2×C4⋊C4 | — | 2 | 3 | no | — |
| 782 | C2×C4⋊C4 | — | 2 | 6 | no | — |
| 783 | C2×C4⋊C4 | — | 2 | 6 | no | — |
| 784 | C2×C4⋊C4 | — | 2 | 3 | no | — |
| 785 | C2×C4⋊C4 | — | 2 | 3 | no | — |
| 786 | C2×C4⋊C4 | — | 2 | 6 | no | — |
| 787 | C2×C4⋊C4 | — | 2 | 6 | no | — |
| 788 | C2×C4⋊C4 | — | 2 | 3 | no | — |
| 789 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 790 | C2×C4⋊C4 | — | 2 | 3 | no | — |
| 791 | C2×C4⋊C4 | — | 2 | 6 | no | — |
| 792 | C2×C4⋊C4 | — | 2 | 3 | no | — |
| 793 | C2×C4⋊C4 | — | 2 | 6 | no | — |
| 794 | C2×C4⋊C4 | — | 2 | 6 | no | — |
| 795 | C2×C4⋊C4 | — | 2 | 6 | no | — |
| 796 | C2×C4⋊C4 | — | 2 | 12 | no | — |
| 797 | C2×C4⋊C4 | — | 2 | 6 | no | — |
| 798 | C2×C4⋊C4 | C2×D4 | 1 | 3 | yes | — |
| 799 | C2×C4⋊C4 | C2×D4 | 1 | 6 | yes | — |
| 800 | C2×C4⋊C4 | C24 | 1 | 6 | yes | — |
| 801 | C2×C4⋊C4 | C24 | 1 | 3 | yes | — |
| 802 | C2×C4⋊C4 | C24 | 1 | 3 | yes | — |
| 803 | C2×C4⋊C4 | C24 | 1 | 6 | yes | — |
| 804 | C2×C22⋊C4 | — | 2 | 6 | no | — |
| 805 | C2×C22⋊C4 | — | 2 | 3 | no | — |
| 806 | C2×C22⋊C4 | — | 2 | 6 | no | — |
| 807 | C2×C22⋊C4 | — | 2 | 12 | no | — |
| 808 | C2×C42 | — | 2 | 6 | no | — |
| 809 | C2×C42 | — | 2 | 3 | no | — |
| 810 | C2×C42 | — | 2 | 3 | no | — |
| 811 | C2×C42 | — | 2 | 6 | no | — |
| 812 | C2×C42 | — | 2 | 6 | no | — |
| 813 | C2×C42 | — | 2 | 3 | no | — |
| 814 | C2×C42 | C24 | 1 | 6 | yes | — |
| 815 | C2×C42 | C24 | 1 | 3 | yes | — |
| 816 | #107 | C24 | 1 | 6 | yes | — |
| 817 | #107 | C24 | 1 | 6 | yes | — |
| 818 | #107 | C24 | 1 | 6 | yes | — |
| 819 | #107 | C24 | 1 | 12 | yes | — |
| 820 | #107 | C24 | 1 | 12 | yes | — |
| 821 | #107 | C24 | 1 | 12 | yes | — |
| 822 | #107 | C24 | 1 | 2 | yes | — |
| 823 | #107 | C24 | 1 | 2 | yes | — |
| 824 | #107 | C24 | 1 | 2 | yes | — |
| 825 | #107 | C24 | 1 | 3 | yes | — |
| 826 | #107 | C24 | 1 | 3 | yes | — |
| 827 | #107 | C24 | 1 | 6 | yes | — |
| 828 | #107 | C24 | 1 | 6 | yes | — |
| 829 | #106 | C24 | 1 | 3 | yes | — |
| 830 | #106 | C24 | 1 | 6 | yes | — |
| 831 | #106 | C24 | 1 | 6 | yes | — |
| 832 | #106 | C24 | 1 | 12 | yes | — |
| 833 | #106 | C24 | 1 | 1 | yes | characteristic |
| 834 | #106 | C24 | 1 | 2 | yes | — |
| 835 | #106 | C24 | 1 | 6 | yes | — |
| 836 | #106 | C24 | 1 | 6 | yes | — |
| 837 | #106 | C24 | 1 | 6 | yes | — |
| 838 | #106 | C24 | 1 | 6 | yes | — |
| 839 | #106 | C24 | 1 | 6 | yes | — |
| 840 | #106 | C24 | 1 | 6 | yes | — |
| 841 | C4⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 842 | C4⋊C8 | C24 | 1 | 2 | yes | — |
| 843 | C4⋊C8 | C24 | 1 | 3 | yes | — |
| 844 | C4⋊C8 | C24 | 1 | 6 | yes | — |
| 845 | C4⋊C8 | C24 | 1 | 6 | yes | — |
| 846 | C4⋊C8 | C24 | 1 | 6 | yes | — |
| 847 | C4⋊C8 | C24 | 1 | 6 | yes | — |
| 848 | C4⋊C8 | C24 | 1 | 12 | yes | — |
| 849 | C4⋊C8 | C24 | 1 | 6 | yes | — |
| 850 | #103 | C24 | 1 | 3 | yes | — |
| 851 | #103 | C24 | 1 | 6 | yes | — |
| 852 | #103 | C24 | 1 | 6 | yes | — |
| 853 | #103 | C24 | 1 | 12 | yes | — |
| 854 | #103 | C24 | 1 | 1 | yes | characteristic |
| 855 | #103 | C24 | 1 | 2 | yes | — |
| 856 | #103 | C24 | 1 | 3 | yes | — |
| 857 | #103 | C24 | 1 | 6 | yes | — |
| 858 | #103 | C24 | 1 | 6 | yes | — |
| 859 | #103 | C24 | 1 | 3 | yes | — |
| 860 | #102 | C24 | 1 | 3 | yes | — |
| 861 | #102 | C24 | 1 | 6 | yes | — |
| 862 | #102 | C24 | 1 | 12 | yes | — |
| 863 | #102 | C24 | 1 | 6 | yes | — |
| 864 | #102 | C24 | 1 | 1 | yes | characteristic |
| 865 | #102 | C24 | 1 | 2 | yes | — |
| 866 | #102 | C24 | 1 | 6 | yes | — |
| 867 | #102 | C24 | 1 | 3 | yes | — |
| 868 | #102 | C24 | 1 | 3 | yes | — |
| 869 | #102 | C24 | 1 | 6 | yes | — |
| 870 | #97 | C24 | 1 | 2 | yes | — |
| 871 | #97 | C24 | 1 | 6 | yes | — |
| 872 | #97 | C24 | 1 | 6 | yes | — |
| 873 | #97 | C24 | 1 | 6 | yes | — |
| 874 | #97 | C24 | 1 | 6 | yes | — |
| 875 | C4×C8 | C24 | 1 | 1 | yes | characteristic |
| 876 | C4×C8 | C24 | 1 | 3 | yes | — |
| 877 | C4×C8 | C24 | 1 | 3 | yes | — |
| 878 | C4×C8 | C24 | 1 | 3 | yes | — |
| 879 | C4×C8 | C24 | 1 | 12 | yes | — |
| 880 | C24 | — | 2 | 3 | no | — |
| 881 | #41 | — | 2 | 8 | no | — |
| 882 | #41 | — | 2 | 24 | no | — |
| 883 | #41 | — | 2 | 6 | no | — |
| 884 | #41 | — | 2 | 6 | no | — |
| 885 | #41 | C22×Q8 | 1 | 12 | yes | — |
| 886 | #41 | C22×Q8 | 1 | 4 | yes | — |
| 887 | #41 | C22×Q8 | 1 | 12 | yes | complemented |
| 888 | #41 | 2−1+4 | 1 | 4 | yes | — |
| 889 | C2×Q8 | — | 2 | 8 | no | — |
| 890 | C2×Q8 | — | 2 | 3 | no | — |
| 891 | C2×Q8 | — | 2 | 3 | no | — |
| 892 | C2×Q8 | — | 2 | 6 | no | — |
| 893 | C2×Q8 | — | 2 | 3 | no | — |
| 894 | C2×Q8 | — | 2 | 2 | no | — |
| 895 | C2×Q8 | — | 2 | 1 | no | — |
| 896 | C2×Q8 | — | 2 | 1 | no | — |
| 897 | C2×Q8 | — | 2 | 6 | no | — |
| 898 | C2×Q8 | — | 2 | 6 | no | — |
| 899 | C2×Q8 | — | 2 | 6 | no | — |
| 900 | C2×Q8 | — | 2 | 6 | no | — |
| 901 | C2×Q8 | — | 2 | 12 | no | — |
| 902 | C2×Q8 | — | 2 | 6 | no | — |
| 903 | C2×Q8 | — | 4 | 6 | no | — |
| 904 | C2×Q8 | — | 4 | 12 | no | — |
| 905 | C2×Q8 | — | 8 | 6 | no | — |
| 906 | C2×Q8 | — | 8 | 6 | no | — |
| 907 | C2×Q8 | — | 8 | 6 | no | — |
| 908 | C2×Q8 | — | 8 | 12 | no | — |
| 909 | C2×Q8 | — | 8 | 12 | no | — |
| 910 | C2×Q8 | — | 8 | 24 | no | — |
| 911 | C2×Q8 | C22×D4 | 1 | 1 | yes | characteristic |
| 912 | C2×Q8 | C22×D4 | 1 | 3 | yes | — |
| 913 | C2×Q8 | C22×D4 | 1 | 6 | yes | — |
| 914 | C2×Q8 | C22×D4 | 1 | 6 | yes | — |
| 915 | C2×Q8 | C22×D4 | 1 | 1 | yes | characteristic |
| 916 | C2×Q8 | C22×Q8 | 1 | 12 | yes | complemented |
| 917 | C2×Q8 | C25 | 1 | 3 | yes | — |
| 918 | C2×Q8 | C25 | 1 | 1 | yes | characteristic |
| 919 | C2×D4 | — | 2 | 3 | no | — |
| 920 | C2×D4 | — | 2 | 3 | no | — |
| 921 | C2×D4 | — | 2 | 24 | no | — |
| 922 | C2×D4 | — | 2 | 3 | no | — |
| 923 | C2×D4 | — | 2 | 6 | no | — |
| 924 | C2×D4 | C22×D4 | 1 | 3 | yes | — |
| 925 | C2×D4 | C22×Q8 | 1 | 12 | yes | — |
| 926 | C2×D4 | C25 | 1 | 1 | yes | characteristic |
| 927 | C2×D4 | C25 | 1 | 3 | yes | — |
| 928 | C22×C4 | — | 2 | 3 | no | — |
| 929 | C22×C4 | — | 2 | 3 | no | — |
| 930 | C22×C4 | — | 2 | 3 | no | — |
| 931 | C22×C4 | — | 2 | 3 | no | — |
| 932 | C22×C4 | — | 2 | 6 | no | — |
| 933 | C22×C4 | — | 2 | 3 | no | — |
| 934 | C22×C4 | — | 2 | 6 | no | — |
| 935 | C22×C4 | — | 2 | 1 | no | — |
| 936 | C22×C4 | — | 2 | 6 | no | — |
| 937 | C22×C4 | — | 2 | 3 | no | — |
| 938 | C22×C4 | — | 2 | 2 | no | — |
| 939 | C22×C4 | — | 2 | 6 | no | — |
| 940 | C22×C4 | — | 2 | 3 | no | — |
| 941 | C22×C4 | — | 2 | 3 | no | — |
| 942 | C22×C4 | — | 2 | 6 | no | — |
| 943 | C22×C4 | — | 2 | 6 | no | — |
| 944 | C22×C4 | — | 2 | 12 | no | — |
| 945 | C22×C4 | — | 8 | 6 | no | — |
| 946 | C22×C4 | — | 8 | 12 | no | — |
| 947 | C22×C4 | C22×D4 | 1 | 3 | yes | — |
| 948 | C22×C4 | C22×D4 | 1 | 6 | yes | — |
| 949 | C22×C4 | C22×D4 | 1 | 3 | yes | — |
| 950 | C22×C4 | C22×D4 | 1 | 6 | yes | — |
| 951 | C22×C4 | C25 | 1 | 3 | yes | — |
| 952 | Q16 | C22×Q8 | 1 | 12 | yes | complemented |
| 953 | SD16 | C22×Q8 | 1 | 12 | yes | complemented |
| 954 | SD16 | C22×Q8 | 1 | 24 | yes | complemented |
| 955 | SD16 | C22×Q8 | 1 | 4 | yes | complemented |
| 956 | D8 | C22×Q8 | 1 | 12 | yes | complemented |
| 957 | M16 | — | 2 | 6 | no | — |
| 958 | M16 | — | 2 | 12 | no | — |
| 959 | M16 | C22×Q8 | 1 | 12 | yes | complemented |
| 960 | C2×C8 | — | 2 | 6 | no | — |
| 961 | C2×C8 | — | 2 | 12 | no | — |
| 962 | C2×C8 | C22×Q8 | 1 | 12 | yes | complemented |
| 963 | C2×C8 | C25 | 1 | 1 | yes | characteristic |
| 964 | C2×C8 | C25 | 1 | 3 | yes | — |
| 965 | C2×C8 | C25 | 1 | 6 | yes | — |
| 966 | C2×C8 | C25 | 1 | 2 | yes | — |
| 967 | C2×C8 | C25 | 1 | 3 | yes | — |
| 968 | C2×C8 | C25 | 1 | 1 | yes | characteristic |
| 969 | C4⋊C4 | — | 2 | 2 | no | — |
| 970 | C4⋊C4 | — | 2 | 1 | no | — |
| 971 | C4⋊C4 | — | 2 | 6 | no | — |
| 972 | C4⋊C4 | — | 2 | 3 | no | — |
| 973 | C4⋊C4 | — | 2 | 6 | no | — |
| 974 | C4⋊C4 | — | 2 | 6 | no | — |
| 975 | C4⋊C4 | — | 2 | 3 | no | — |
| 976 | C4⋊C4 | — | 2 | 6 | no | — |
| 977 | C4⋊C4 | — | 2 | 12 | no | — |
| 978 | C4⋊C4 | — | 2 | 6 | no | — |
| 979 | C4⋊C4 | — | 2 | 12 | no | — |
| 980 | C4⋊C4 | — | 2 | 6 | no | — |
| 981 | C4⋊C4 | — | 2 | 3 | no | — |
| 982 | C4⋊C4 | — | 2 | 6 | no | — |
| 983 | C4⋊C4 | — | 2 | 6 | no | — |
| 984 | C4⋊C4 | — | 2 | 6 | no | — |
| 985 | C4⋊C4 | — | 2 | 6 | no | — |
| 986 | C4⋊C4 | — | 2 | 3 | no | — |
| 987 | C4⋊C4 | — | 2 | 6 | no | — |
| 988 | C4⋊C4 | — | 2 | 12 | no | — |
| 989 | C4⋊C4 | — | 2 | 6 | no | — |
| 990 | C4⋊C4 | — | 2 | 3 | no | — |
| 991 | C4⋊C4 | — | 2 | 3 | no | — |
| 992 | C4⋊C4 | — | 2 | 6 | no | — |
| 993 | C4⋊C4 | — | 2 | 2 | no | — |
| 994 | C4⋊C4 | — | 2 | 1 | no | — |
| 995 | C4⋊C4 | — | 2 | 6 | no | — |
| 996 | C4⋊C4 | — | 2 | 6 | no | — |
| 997 | C4⋊C4 | — | 2 | 6 | no | — |
| 998 | C4⋊C4 | — | 2 | 6 | no | — |
| 999 | C4⋊C4 | — | 2 | 6 | no | — |
| 1000 | C4⋊C4 | — | 2 | 12 | no | — |
| 1001 | C4⋊C4 | — | 2 | 2 | no | — |
| 1002 | C4⋊C4 | — | 2 | 1 | no | — |
| 1003 | C4⋊C4 | — | 2 | 6 | no | — |
| 1004 | C4⋊C4 | — | 2 | 3 | no | — |
| 1005 | C4⋊C4 | — | 2 | 6 | no | — |
| 1006 | C4⋊C4 | — | 2 | 2 | no | — |
| 1007 | C4⋊C4 | — | 2 | 6 | no | — |
| 1008 | C4⋊C4 | C22×D4 | 1 | 6 | yes | — |
| 1009 | C4⋊C4 | C22×D4 | 1 | 6 | yes | — |
| 1010 | C4⋊C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 1011 | C4⋊C4 | C22×D4 | 1 | 3 | yes | — |
| 1012 | C4⋊C4 | C22×D4 | 1 | 6 | yes | — |
| 1013 | C4⋊C4 | C22×D4 | 1 | 6 | yes | — |
| 1014 | C4⋊C4 | C22×D4 | 1 | 3 | yes | — |
| 1015 | C4⋊C4 | C22×D4 | 1 | 3 | yes | — |
| 1016 | C4⋊C4 | C22×D4 | 1 | 12 | yes | — |
| 1017 | C4⋊C4 | C22×D4 | 1 | 2 | yes | — |
| 1018 | C4⋊C4 | C22×D4 | 1 | 6 | yes | — |
| 1019 | C4⋊C4 | C22×D4 | 1 | 6 | yes | — |
| 1020 | C4⋊C4 | C22×D4 | 1 | 6 | yes | — |
| 1021 | C4⋊C4 | C25 | 1 | 3 | yes | — |
| 1022 | C4⋊C4 | C25 | 1 | 2 | yes | — |
| 1023 | C4⋊C4 | C25 | 1 | 6 | yes | — |
| 1024 | C4⋊C4 | C25 | 1 | 1 | yes | characteristic |
| 1025 | C4⋊C4 | C25 | 1 | 1 | yes | characteristic |
| 1026 | C4⋊C4 | C25 | 1 | 2 | yes | — |
| 1027 | C4⋊C4 | C25 | 1 | 6 | yes | — |
| 1028 | C4⋊C4 | C25 | 1 | 3 | yes | — |
| 1029 | C22⋊C4 | — | 2 | 3 | no | — |
| 1030 | C22⋊C4 | — | 2 | 6 | no | — |
| 1031 | C22⋊C4 | — | 2 | 6 | no | — |
| 1032 | C22⋊C4 | — | 2 | 3 | no | — |
| 1033 | C22⋊C4 | — | 2 | 3 | no | — |
| 1034 | C22⋊C4 | — | 2 | 6 | no | — |
| 1035 | C22⋊C4 | — | 2 | 6 | no | — |
| 1036 | C22⋊C4 | — | 2 | 12 | no | — |
| 1037 | C22⋊C4 | — | 2 | 6 | no | — |
| 1038 | C22⋊C4 | — | 2 | 3 | no | — |
| 1039 | C22⋊C4 | — | 2 | 2 | no | — |
| 1040 | C22⋊C4 | — | 2 | 1 | no | — |
| 1041 | C22⋊C4 | — | 2 | 3 | no | — |
| 1042 | C22⋊C4 | — | 2 | 6 | no | — |
| 1043 | C22⋊C4 | C22×D4 | 1 | 12 | yes | — |
| 1044 | C22⋊C4 | C22×D4 | 1 | 6 | yes | — |
| 1045 | C42 | — | 2 | 2 | no | — |
| 1046 | C42 | — | 2 | 1 | no | — |
| 1047 | C42 | — | 2 | 6 | no | — |
| 1048 | C42 | — | 2 | 3 | no | — |
| 1049 | C42 | — | 2 | 6 | no | — |
| 1050 | C42 | — | 2 | 3 | no | — |
| 1051 | C42 | — | 2 | 6 | no | — |
| 1052 | C42 | — | 2 | 3 | no | — |
| 1053 | C42 | — | 2 | 6 | no | — |
| 1054 | C42 | — | 2 | 12 | no | — |
| 1055 | C42 | — | 2 | 3 | no | — |
| 1056 | C42 | — | 2 | 6 | no | — |
| 1057 | C42 | — | 2 | 6 | no | — |
| 1058 | C42 | — | 2 | 3 | no | — |
| 1059 | C42 | C22×D4 | 1 | 3 | yes | — |
| 1060 | C42 | C22×D4 | 1 | 6 | yes | — |
| 1061 | C42 | C22×D4 | 1 | 6 | yes | — |
| 1062 | C42 | C22×D4 | 1 | 3 | yes | — |
| 1063 | C42 | C25 | 1 | 1 | yes | characteristic |
| 1064 | C42 | C25 | 1 | 6 | yes | — |
| 1065 | C42 | C25 | 1 | 3 | yes | — |
| 1066 | C42 | C25 | 1 | 2 | yes | — |
| 1067 | C23 | — | 2 | 1 | no | — |
| 1068 | C23 | — | 2 | 3 | no | — |
| 1069 | C23 | — | 2 | 12 | no | — |
| 1070 | C23 | — | 8 | 3 | no | — |
| 1071 | C23 | — | 8 | 3 | no | — |
| 1072 | C23 | C23×D4 | 1 | 3 | yes | — |
| 1073 | Q8 | — | 2 | 2 | no | — |
| 1074 | Q8 | — | 2 | 6 | no | — |
| 1075 | Q8 | — | 2 | 3 | no | — |
| 1076 | Q8 | — | 2 | 1 | no | — |
| 1077 | Q8 | — | 2 | 12 | no | — |
| 1078 | Q8 | — | 4 | 6 | no | — |
| 1079 | Q8 | — | 4 | 6 | no | — |
| 1080 | Q8 | — | 4 | 12 | no | — |
| 1081 | Q8 | — | 4 | 6 | no | — |
| 1082 | Q8 | — | 4 | 6 | no | — |
| 1083 | Q8 | — | 8 | 2 | no | — |
| 1084 | Q8 | — | 8 | 1 | no | — |
| 1085 | Q8 | — | 8 | 1 | no | — |
| 1086 | Q8 | — | 8 | 6 | no | — |
| 1087 | Q8 | — | 8 | 6 | no | — |
| 1088 | Q8 | — | 8 | 6 | no | — |
| 1089 | Q8 | — | 8 | 6 | no | — |
| 1090 | Q8 | — | 8 | 12 | no | — |
| 1091 | Q8 | D4×Q8 | 1 | 4 | yes | — |
| 1092 | Q8 | C23×Q8 | 1 | 6 | yes | — |
| 1093 | Q8 | C23×Q8 | 1 | 2 | yes | — |
| 1094 | D4 | — | 2 | 12 | no | — |
| 1095 | D4 | — | 2 | 12 | no | — |
| 1096 | D4 | — | 2 | 3 | no | — |
| 1097 | D4 | — | 2 | 1 | no | — |
| 1098 | D4 | — | 2 | 12 | no | — |
| 1099 | D4 | D4×Q8 | 1 | 12 | yes | — |
| 1100 | D4 | C23×Q8 | 1 | 2 | yes | — |
| 1101 | D4 | C23×Q8 | 1 | 6 | yes | — |
| 1102 | C2×C4 | — | 2 | 1 | no | — |
| 1103 | C2×C4 | — | 2 | 3 | no | — |
| 1104 | C2×C4 | — | 2 | 12 | no | — |
| 1105 | C2×C4 | — | 2 | 6 | no | — |
| 1106 | C2×C4 | — | 2 | 12 | no | — |
| 1107 | C2×C4 | — | 2 | 12 | no | — |
| 1108 | C2×C4 | — | 2 | 2 | no | — |
| 1109 | C2×C4 | — | 2 | 1 | no | — |
| 1110 | C2×C4 | — | 2 | 2 | no | — |
| 1111 | C2×C4 | — | 2 | 1 | no | — |
| 1112 | C2×C4 | — | 2 | 3 | no | — |
| 1113 | C2×C4 | — | 2 | 6 | no | — |
| 1114 | C2×C4 | — | 2 | 6 | no | — |
| 1115 | C2×C4 | — | 2 | 3 | no | — |
| 1116 | C2×C4 | — | 4 | 6 | no | — |
| 1117 | C2×C4 | — | 4 | 6 | no | — |
| 1118 | C2×C4 | — | 4 | 3 | no | — |
| 1119 | C2×C4 | — | 4 | 12 | no | — |
| 1120 | C2×C4 | — | 4 | 6 | no | — |
| 1121 | C2×C4 | — | 4 | 2 | no | — |
| 1122 | C2×C4 | — | 8 | 2 | no | — |
| 1123 | C2×C4 | — | 8 | 3 | no | — |
| 1124 | C2×C4 | — | 8 | 3 | no | — |
| 1125 | C2×C4 | — | 8 | 6 | no | — |
| 1126 | C2×C4 | — | 8 | 6 | no | — |
| 1127 | C2×C4 | — | 8 | 12 | no | — |
| 1128 | C2×C4 | — | 8 | 6 | no | — |
| 1129 | C2×C4 | — | 8 | 3 | no | — |
| 1130 | C2×C4 | — | 8 | 3 | no | — |
| 1131 | C2×C4 | — | 8 | 6 | no | — |
| 1132 | C2×C4 | — | 8 | 6 | no | — |
| 1133 | C2×C4 | C23×D4 | 1 | 2 | yes | — |
| 1134 | C2×C4 | C23×D4 | 1 | 6 | yes | — |
| 1135 | C2×C4 | C23×D4 | 1 | 3 | yes | — |
| 1136 | C2×C4 | C23×D4 | 1 | 3 | yes | — |
| 1137 | C2×C4 | C23×D4 | 1 | 2 | yes | — |
| 1138 | C2×C4 | C23×D4 | 1 | 6 | yes | — |
| 1139 | C2×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 1140 | C2×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 1141 | C2×C4 | C23×D4 | 1 | 3 | yes | — |
| 1142 | C2×C4 | C23×Q8 | 1 | 6 | yes | — |
| 1143 | C2×C4 | C2×2−1+4 | 1 | 6 | yes | — |
| 1144 | C2×C4 | C26 | 1 | 1 | yes | characteristic |
| 1145 | C8 | — | 2 | 1 | no | — |
| 1146 | C8 | — | 2 | 2 | no | — |
| 1147 | C8 | — | 2 | 3 | no | — |
| 1148 | C8 | — | 2 | 6 | no | — |
| 1149 | C8 | C23×Q8 | 1 | 2 | yes | — |
| 1150 | C8 | C23×Q8 | 1 | 6 | yes | — |
| 1151 | C22 | — | 2 | 3 | no | — |
| 1152 | C22 | — | 2 | 3 | no | — |
| 1153 | C22 | — | 2 | 2 | no | — |
| 1154 | C22 | — | 2 | 6 | no | — |
| 1155 | C22 | — | 4 | 3 | no | — |
| 1156 | C22 | — | 4 | 1 | no | — |
| 1157 | C22 | — | 4 | 1 | no | — |
| 1158 | C22 | — | 4 | 3 | no | — |
| 1159 | C22 | — | 8 | 12 | no | — |
| 1160 | C22 | C2×D4×Q8 | 1 | 6 | yes | — |
| 1161 | C22 | C24×D4 | 1 | 1 | yes | characteristic |
| 1162 | C4 | — | 2 | 3 | no | — |
| 1163 | C4 | — | 2 | 2 | no | — |
| 1164 | C4 | — | 2 | 6 | no | — |
| 1165 | C4 | — | 2 | 2 | no | — |
| 1166 | C4 | — | 2 | 1 | no | — |
| 1167 | C4 | — | 2 | 3 | no | — |
| 1168 | C4 | — | 2 | 6 | no | — |
| 1169 | C4 | — | 2 | 2 | no | — |
| 1170 | C4 | — | 2 | 6 | no | — |
| 1171 | C4 | — | 4 | 6 | no | — |
| 1172 | C4 | — | 4 | 3 | no | — |
| 1173 | C4 | — | 4 | 1 | no | — |
| 1174 | C4 | — | 4 | 6 | no | — |
| 1175 | C4 | — | 4 | 1 | no | — |
| 1176 | C4 | — | 4 | 2 | no | — |
| 1177 | C4 | — | 4 | 3 | no | — |
| 1178 | C4 | — | 4 | 2 | no | — |
| 1179 | C4 | C2×D4×Q8 | 1 | 6 | yes | — |
| 1180 | C4 | #3585 | 1 | 2 | yes | — |
| 1181 | C4 | C24×Q8 | 1 | 1 | yes | characteristic |
| 1182 | C4 | C22×2−1+4 | 1 | 1 | yes | characteristic |
| 1183 | C2 | — | 2 | 6 | no | — |
| 1184 | C2 | — | 4 | 2 | no | — |
| 1185 | C2 | — | 4 | 6 | no | — |
| 1186 | C2 | C22×D4×Q8 | 1 | 1 | yes | characteristic |
| 1187 | C2 | C2×#3585 | 1 | 1 | yes | characteristic |
| 1188 | C2 | #63093 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, socle | C22 | C24×D4 |
| commutator, Frattini, cosocle | C2×C4 | C26 |
| prime radical | C2×#577 | C22 |
| LCS | G ▷ C2×C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C22 ◁ Q8×#41 ◁ G | |
| LECS | G ▷ C2×C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #63004 | C2 | semidirect |
| 2. Q8×H(5,𝔽2) | C2 | semidirect |
| 3. #61385 | C2 | semidirect |
| 4. #61384 | C2 | semidirect |
| 5. #61383 | C2 | semidirect |
| 6. #61381 | C2 | semidirect |
| 7. #61380 | C2 | semidirect |
| 8. #61377 | C2 | semidirect |
| 9. #61373 | C2 | semidirect |
| 10. #61371 | C2 | semidirect |
| 11. #61369 | C2 | semidirect |
| 12. Q8×AGL(1,ℤ/8) | C2 | semidirect |
| 13. #61365 | C2 | semidirect |
| 14. C2×#3386 | C2 | semidirect |
| 15. #60668 | C2 | semidirect |
| 16. #60667 | C2 | semidirect |
| 17. #60498 | C2 | semidirect |
| 18. #60497 | C2 | semidirect |
| 19. #60496 | C2 | semidirect |
| 20. #60494 | C2 | semidirect |
| 21. #60195 | C2 | semidirect |
| 27. #3504 | C22 | semidirect |
| 36. #3503 | C22 | semidirect |
| 39. #3502 | C22 | semidirect |
| 40. #3502 | C22 | semidirect |
| 49. Q8×#41 | C22 | semidirect |
| 51. C2×#557 | C22 | semidirect |
| 58. #3390 | C22 | semidirect |
| 59. #3390 | C22 | semidirect |
| 60. #3389 | C22 | semidirect |
| 61. #3389 | C22 | semidirect |
| 62. #3388 | C22 | semidirect |
| 63. #3388 | C22 | semidirect |
| 64. #3388 | C22 | semidirect |
| 65. #3388 | C22 | semidirect |
| 66. #3388 | C22 | semidirect |
| 67. #3387 | C22 | semidirect |
| 68. #3387 | C22 | semidirect |
| 69. #3387 | C22 | semidirect |
| 70. #3386 | C22 | semidirect |
| 71. #3386 | C22 | semidirect |
| 72. #3386 | C22 | semidirect |
| 73. #3386 | C22 | semidirect |
| 74. #3386 | C22 | semidirect |
| 75. #3386 | C22 | semidirect |
| 76. #3386 | C22 | semidirect |
| 77. #3386 | C22 | semidirect |
| 78. #3385 | C22 | semidirect |
| 79. #3385 | C22 | semidirect |
| 80. #3385 | C22 | semidirect |
| 81. #3385 | C22 | semidirect |
| 82. #3385 | C22 | semidirect |
| 83. #3384 | C22 | semidirect |
| 84. #3384 | C22 | semidirect |
| 85. #3384 | C22 | semidirect |
| 86. #3383 | C22 | semidirect |
| 87. Q8×Q16 | C22 | semidirect |
| 88. #3381 | C22 | semidirect |
| 89. #3381 | C22 | semidirect |
| 90. #3380 | C22 | semidirect |
| 91. Q8×SD16 | C22 | semidirect |
| 92. Q8×D8 | C22 | semidirect |
| 93. #3166 | C22 | semidirect |
| 94. #3165 | C22 | semidirect |
| 95. #3165 | C22 | semidirect |
| 96. #3165 | C22 | semidirect |
| 97. #3164 | C22 | semidirect |
| 98. #3164 | C22 | semidirect |
| 99. #3164 | C22 | semidirect |
| 100. #3164 | C22 | semidirect |
| 101. #3163 | C22 | semidirect |
| 102. #3163 | C22 | semidirect |
| 103. #3162 | C22 | semidirect |
| 104. C2×#501 | C22 | semidirect |
| 105. #3160 | C22 | semidirect |
| 106. C2×#500 | C22 | semidirect |
| 108. #3084 | C22 | semidirect |
| 111. #3083 | C22 | semidirect |
| 112. #3083 | C22 | semidirect |
| 113. #3082 | C22 | semidirect |
| 114. #3082 | C22 | semidirect |
| 115. #3082 | C22 | semidirect |
| 121. #3079 | C22 | semidirect |
| 122. #3079 | C22 | semidirect |
| 123. #3078 | C22 | semidirect |
| 124. #3078 | C22 | semidirect |
| 129. #3076 | C22 | semidirect |
| 130. #3076 | C22 | semidirect |
| 131. C2×#477 | C22 | semidirect |
| 132. C2×#475 | C22 | semidirect |
| 135. Q8×M16 | C22 | semidirect |
| 136. #2962 | C22 | semidirect |
| 137. #2962 | C22 | semidirect |
| 138. #2961 | C22 | semidirect |
| 139. #2960 | C22 | semidirect |
| 140. C2×#446 | C22 | semidirect |
| 173. #577 | Q8 | semidirect |
| 518. 2−1+4 | C2×Q8 | semidirect |
| 520. H(5,𝔽2) | C2×Q8 | semidirect |
| 541. #137 | C2×Q8 | semidirect |
| 542. AGL(1,ℤ/8) | C2×Q8 | semidirect |
| 543. #135 | C2×Q8 | semidirect |
| 545. C2×SD16 | C2×Q8 | semidirect |
| 552. #131 | C2×Q8 | semidirect |
| 887. #41 | C22×Q8 | semidirect |
| 916. C2×Q8 | C22×Q8 | semidirect |
| 952. Q16 | C22×Q8 | semidirect |
| 953. SD16 | C22×Q8 | semidirect |
| 954. SD16 | C22×Q8 | semidirect |
| 955. SD16 | C22×Q8 | semidirect |
| 956. D8 | C22×Q8 | semidirect |
| 959. M16 | C22×Q8 | semidirect |
| 962. C2×C8 | C22×Q8 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #63004 | 2 |
| Q8×H(5,𝔽2) | 2 |
| #61385 | 2 |
| #61384 | 2 |
| #61383 | 2 |
| #61381 | 2 |
| #61380 | 2 |
| #61377 | 2 |
| #61373 | 2 |
| #61371 | 2 |
| #61369 | 2 |
| Q8×AGL(1,ℤ/8) | 2 |
| #61365 | 2 |
| C2×#3386 | 2 |
| #60668 | 2 |
| #60667 | 2 |
| #60498 | 2 |
| #60497 | 2 |
| #60496 | 2 |
| #60494 | 2 |
| #60195 | 2 |
| #60174 | 2 |
| C4×#577 | 2 |