Finite Group DatabasebetaFinite Group DatabasebetaOrder 4096.
159062 conjugacy classes of subgroups; only the 3185 normal subgroups are shown.
This group has 159062 conjugacy classes of subgroups — too many to draw. Only its 3185 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #72242694 | C2 | 1 | 45 | yes | maximal, complemented |
| 2 | #72242693 | C22 | 1 | 15 | yes | complemented |
| 3 | #72228244 | C2 | 1 | 15 | yes | maximal, complemented |
| 4 | #72228241 | C22 | 1 | 180 | yes | complemented |
| 5 | #72228240 | C22 | 1 | 90 | yes | complemented |
| 6 | #72228238 | C22 | 1 | 180 | yes | complemented |
| 7 | #72228237 | C22 | 1 | 15 | yes | complemented |
| 8 | #72228235 | C2 | 1 | 3 | yes | maximal, complemented |
| 9 | #72228233 | C22 | 1 | 45 | yes | complemented |
| 10 | H(5,𝔽4) | C22 | 1 | 1 | yes | characteristic, complemented |
| 11 | #72219164 | C22 | 1 | 5 | yes | complemented |
| 12 | #72211163 | C22 | 1 | 45 | yes | complemented |
| 13 | #72211144 | C22 | 1 | 45 | yes | — |
| 14 | #72209716 | C22 | 1 | 30 | yes | complemented |
| 15 | #10586807 | — | 4 | 45 | no | — |
| 16 | #10586796 | — | 4 | 15 | no | — |
| 17 | #10586796 | C23 | 1 | 15 | yes | — |
| 18 | #6499867 | C23 | 1 | 90 | yes | — |
| 19 | #6342371 | C23 | 1 | 15 | yes | complemented |
| 20 | #5021138 | C23 | 1 | 15 | yes | — |
| 21 | #5020752 | C23 | 1 | 45 | yes | complemented |
| 22 | #2032565 | — | 4 | 45 | no | — |
| 23 | #2032030 | — | 4 | 15 | no | — |
| 24 | #347045 | — | 4 | 45 | no | — |
| 25 | #347045 | — | 4 | 90 | no | — |
| 26 | #347042 | — | 4 | 45 | no | — |
| 27 | #346292 | — | 4 | 45 | no | — |
| 28 | #346287 | — | 4 | 15 | no | — |
| 29 | #238078 | C23 | 1 | 180 | yes | complemented |
| 30 | #188062 | C23 | 1 | 45 | yes | — |
| 31 | #187949 | C23 | 1 | 90 | yes | — |
| 32 | #187949 | C23 | 1 | 180 | yes | — |
| 33 | #119556 | C23 | 1 | 90 | yes | complemented |
| 34 | #119556 | C23 | 1 | 180 | yes | complemented |
| 35 | #115690 | C23 | 1 | 90 | yes | complemented |
| 36 | #115690 | C23 | 1 | 180 | yes | complemented |
| 37 | #110180 | C23 | 1 | 180 | yes | complemented |
| 38 | C28 | C24 | 1 | 1 | yes | characteristic, complemented |
| 39 | #63069 | — | 4 | 180 | no | — |
| 40 | #63069 | — | 4 | 180 | no | — |
| 41 | #63069 | — | 4 | 90 | no | — |
| 42 | #63069 | — | 4 | 90 | no | — |
| 43 | #63048 | — | 4 | 90 | no | — |
| 44 | #63048 | — | 4 | 60 | no | — |
| 45 | #63046 | — | 4 | 180 | no | — |
| 46 | #63046 | — | 4 | 180 | no | — |
| 47 | #63046 | — | 4 | 180 | no | — |
| 48 | #63046 | — | 4 | 180 | no | — |
| 49 | #63046 | — | 4 | 180 | no | — |
| 50 | #63045 | — | 4 | 180 | no | — |
| 51 | #63045 | — | 4 | 90 | no | — |
| 52 | #63045 | — | 4 | 180 | no | — |
| 53 | #62841 | — | 4 | 180 | no | — |
| 54 | #62841 | — | 4 | 45 | no | — |
| 55 | #62824 | — | 2 | 45 | no | — |
| 56 | #62824 | — | 2 | 90 | no | — |
| 57 | #62824 | — | 4 | 180 | no | — |
| 58 | #62824 | — | 4 | 90 | no | — |
| 59 | #62817 | — | 2 | 45 | no | — |
| 60 | #62817 | — | 4 | 30 | no | — |
| 61 | #62817 | — | 4 | 15 | no | — |
| 62 | #62817 | C24 | 1 | 30 | yes | — |
| 63 | #62694 | — | 4 | 15 | no | — |
| 64 | C22×H(3,𝔽4) | — | 4 | 5 | no | — |
| 65 | C22×H(3,𝔽4) | C24 | 1 | 5 | yes | — |
| 66 | C2×#2736 | — | 4 | 15 | no | — |
| 67 | C2×#2679 | — | 4 | 15 | no | — |
| 68 | C2×#2842 | C24 | 1 | 15 | yes | complemented |
| 69 | C2×#2846 | — | 4 | 45 | no | — |
| 70 | C2×#2846 | C24 | 1 | 45 | yes | — |
| 71 | #23984 | — | 4 | 90 | no | — |
| 72 | #23984 | — | 4 | 180 | no | — |
| 73 | #23900 | — | 4 | 180 | no | — |
| 74 | #23900 | — | 4 | 90 | no | — |
| 75 | #21746 | C24 | 1 | 90 | yes | — |
| 76 | #21746 | C24 | 1 | 180 | yes | — |
| 77 | #16297 | — | 4 | 30 | no | — |
| 78 | #16255 | — | 4 | 90 | no | — |
| 79 | #15947 | — | 2 | 45 | no | — |
| 80 | #15947 | — | 4 | 5 | no | — |
| 81 | #15480 | — | 4 | 15 | no | — |
| 82 | #15467 | — | 4 | 15 | no | — |
| 83 | #15297 | — | 4 | 90 | no | — |
| 84 | #15284 | — | 4 | 45 | no | — |
| 85 | #15283 | — | 4 | 45 | no | — |
| 86 | #15281 | — | 4 | 45 | no | — |
| 87 | #15268 | — | 4 | 90 | no | — |
| 88 | #15259 | — | 2 | 90 | no | — |
| 89 | #15259 | — | 2 | 45 | no | — |
| 90 | #14679 | — | 4 | 45 | no | — |
| 91 | #14679 | C24 | 1 | 45 | yes | complemented |
| 92 | #14657 | C24 | 1 | 45 | yes | — |
| 93 | #14365 | — | 4 | 45 | no | — |
| 94 | #14358 | — | 4 | 45 | no | — |
| 95 | #13827 | C24 | 1 | 15 | yes | complemented |
| 96 | #10393 | — | 4 | 180 | no | — |
| 97 | #10392 | — | 4 | 180 | no | — |
| 98 | #8544 | — | 2 | 90 | no | — |
| 99 | #8544 | — | 2 | 45 | no | — |
| 100 | #8541 | — | 2 | 45 | no | — |
| 101 | #8535 | — | 4 | 180 | no | — |
| 102 | #8535 | — | 4 | 90 | no | — |
| 103 | #8534 | — | 4 | 90 | no | — |
| 104 | #8534 | — | 4 | 180 | no | — |
| 105 | #8101 | C24 | 1 | 180 | yes | complemented |
| 106 | C27 | — | 4 | 15 | no | — |
| 107 | C27 | — | 16 | 12 | no | — |
| 108 | C27 | C25 | 1 | 3 | yes | — |
| 109 | #3568 | — | 4 | 180 | no | — |
| 110 | #3568 | — | 4 | 180 | no | — |
| 111 | #3568 | — | 4 | 180 | no | — |
| 112 | #3568 | — | 4 | 180 | no | — |
| 113 | #3568 | — | 4 | 180 | no | — |
| 114 | #3568 | — | 4 | 180 | no | — |
| 115 | #3568 | — | 4 | 180 | no | — |
| 116 | #3568 | — | 4 | 180 | no | — |
| 117 | #3568 | — | 4 | 180 | no | — |
| 118 | #3568 | — | 4 | 180 | no | — |
| 119 | #3561 | — | 4 | 90 | no | — |
| 120 | #3561 | — | 4 | 90 | no | — |
| 121 | #3561 | — | 4 | 180 | no | — |
| 122 | #3561 | — | 4 | 180 | no | — |
| 123 | #3561 | — | 4 | 180 | no | — |
| 124 | #3561 | — | 4 | 180 | no | — |
| 125 | #3561 | — | 4 | 180 | no | — |
| 126 | #3561 | — | 4 | 180 | no | — |
| 127 | #3561 | — | 4 | 180 | no | — |
| 128 | #3561 | — | 4 | 180 | no | — |
| 129 | #3561 | — | 4 | 180 | no | — |
| 130 | #3561 | — | 4 | 180 | no | — |
| 131 | #3561 | — | 4 | 180 | no | — |
| 132 | #3561 | — | 4 | 180 | no | — |
| 133 | #3561 | — | 4 | 180 | no | — |
| 134 | #3561 | — | 4 | 180 | no | — |
| 135 | #3558 | — | 4 | 90 | no | — |
| 136 | #3558 | — | 4 | 90 | no | — |
| 137 | #3558 | — | 4 | 180 | no | — |
| 138 | #3558 | — | 4 | 180 | no | — |
| 139 | #3558 | — | 4 | 180 | no | — |
| 140 | #3558 | — | 4 | 180 | no | — |
| 141 | #3558 | — | 4 | 180 | no | — |
| 142 | #3558 | — | 4 | 180 | no | — |
| 143 | #3558 | — | 4 | 180 | no | — |
| 144 | #3558 | — | 4 | 180 | no | — |
| 145 | #3558 | — | 4 | 180 | no | — |
| 146 | #3558 | — | 4 | 180 | no | — |
| 147 | #3558 | — | 4 | 180 | no | — |
| 148 | #3558 | — | 4 | 180 | no | — |
| 149 | #3558 | — | 4 | 180 | no | — |
| 150 | #3558 | — | 4 | 180 | no | — |
| 151 | #3550 | — | 4 | 90 | no | — |
| 152 | #3550 | — | 4 | 45 | no | — |
| 153 | #3550 | — | 4 | 180 | no | — |
| 154 | #3550 | — | 4 | 180 | no | — |
| 155 | #3550 | — | 4 | 180 | no | — |
| 156 | #3549 | — | 4 | 180 | no | — |
| 157 | #3549 | — | 4 | 45 | no | — |
| 158 | #3545 | — | 4 | 180 | no | — |
| 159 | #3545 | — | 4 | 180 | no | — |
| 160 | #3545 | — | 4 | 180 | no | — |
| 161 | #3545 | — | 4 | 180 | no | — |
| 162 | #3545 | — | 4 | 180 | no | — |
| 163 | #3545 | — | 4 | 180 | no | — |
| 164 | #3545 | — | 4 | 180 | no | — |
| 165 | #3545 | — | 4 | 180 | no | — |
| 166 | #3545 | — | 4 | 180 | no | — |
| 167 | #3545 | — | 4 | 180 | no | — |
| 168 | #3545 | — | 4 | 180 | no | — |
| 169 | #3545 | — | 4 | 180 | no | — |
| 170 | #3545 | — | 4 | 180 | no | — |
| 171 | #3545 | — | 4 | 180 | no | — |
| 172 | #3545 | — | 4 | 180 | no | — |
| 173 | #3540 | — | 4 | 180 | no | — |
| 174 | #3540 | — | 4 | 180 | no | — |
| 175 | #3540 | — | 4 | 180 | no | — |
| 176 | #3540 | — | 4 | 180 | no | — |
| 177 | #3540 | — | 4 | 180 | no | — |
| 178 | #3540 | — | 4 | 180 | no | — |
| 179 | #3540 | — | 4 | 180 | no | — |
| 180 | #3540 | — | 4 | 180 | no | — |
| 181 | #3540 | — | 4 | 180 | no | — |
| 182 | #3540 | — | 4 | 180 | no | — |
| 183 | #3540 | — | 4 | 180 | no | — |
| 184 | #3540 | — | 4 | 180 | no | — |
| 185 | #3540 | — | 4 | 180 | no | — |
| 186 | #3540 | — | 4 | 180 | no | — |
| 187 | #3540 | — | 4 | 180 | no | — |
| 188 | #3532 | — | 4 | 180 | no | — |
| 189 | #3532 | — | 4 | 180 | no | — |
| 190 | #3532 | — | 4 | 180 | no | — |
| 191 | #3532 | — | 4 | 180 | no | — |
| 192 | #3532 | — | 4 | 180 | no | — |
| 193 | #3532 | — | 4 | 180 | no | — |
| 194 | #3532 | — | 4 | 180 | no | — |
| 195 | #3532 | — | 4 | 180 | no | — |
| 196 | #3532 | — | 4 | 180 | no | — |
| 197 | #3532 | — | 4 | 180 | no | — |
| 198 | #3531 | — | 4 | 45 | no | — |
| 199 | #3531 | — | 4 | 45 | no | — |
| 200 | #3531 | — | 4 | 180 | no | — |
| 201 | #3529 | — | 4 | 90 | no | — |
| 202 | #3529 | — | 4 | 180 | no | — |
| 203 | #3529 | — | 4 | 180 | no | — |
| 204 | C2×H(3,𝔽4) | — | 4 | 60 | no | — |
| 205 | C2×H(3,𝔽4) | — | 4 | 180 | no | — |
| 206 | C2×H(3,𝔽4) | — | 4 | 60 | no | — |
| 207 | #3518 | — | 4 | 90 | no | — |
| 208 | #3518 | — | 4 | 90 | no | — |
| 209 | #3518 | — | 4 | 180 | no | — |
| 210 | #3518 | — | 4 | 180 | no | — |
| 211 | #3518 | — | 4 | 180 | no | — |
| 212 | #3518 | — | 4 | 180 | no | — |
| 213 | #3514 | — | 4 | 180 | no | — |
| 214 | #3514 | — | 4 | 180 | no | — |
| 215 | #3514 | — | 4 | 180 | no | — |
| 216 | #3514 | — | 4 | 180 | no | — |
| 217 | #3514 | — | 4 | 180 | no | — |
| 218 | #3514 | — | 4 | 180 | no | — |
| 219 | #3514 | — | 4 | 90 | no | — |
| 220 | #3514 | — | 4 | 90 | no | — |
| 221 | #3514 | — | 4 | 180 | no | — |
| 222 | #3514 | — | 4 | 180 | no | — |
| 223 | #3514 | — | 4 | 180 | no | — |
| 224 | #3514 | — | 4 | 180 | no | — |
| 225 | #3514 | — | 4 | 180 | no | — |
| 226 | #3514 | — | 4 | 180 | no | — |
| 227 | #3514 | — | 4 | 180 | no | — |
| 228 | #3514 | — | 4 | 180 | no | — |
| 229 | #3510 | — | 4 | 180 | no | — |
| 230 | #3510 | — | 4 | 90 | no | — |
| 231 | #3510 | — | 4 | 180 | no | — |
| 232 | #3510 | — | 4 | 180 | no | — |
| 233 | #3510 | — | 4 | 180 | no | — |
| 234 | #3510 | — | 4 | 180 | no | — |
| 235 | #3510 | — | 4 | 180 | no | — |
| 236 | #3510 | — | 4 | 180 | no | — |
| 237 | #3500 | — | 4 | 90 | no | — |
| 238 | #3500 | — | 4 | 180 | no | — |
| 239 | #3500 | — | 4 | 180 | no | — |
| 240 | #3490 | — | 2 | 180 | no | — |
| 241 | #3490 | — | 2 | 90 | no | — |
| 242 | #3490 | — | 4 | 180 | no | — |
| 243 | #3490 | — | 4 | 90 | no | — |
| 244 | #3490 | — | 4 | 180 | no | — |
| 245 | #3490 | — | 4 | 45 | no | — |
| 246 | #3490 | — | 4 | 45 | no | — |
| 247 | #3490 | — | 4 | 180 | no | — |
| 248 | #3490 | — | 4 | 180 | no | — |
| 249 | #3490 | — | 4 | 180 | no | — |
| 250 | #3490 | — | 4 | 45 | no | — |
| 251 | #3490 | — | 4 | 90 | no | — |
| 252 | #3486 | — | 4 | 180 | no | — |
| 253 | #3486 | — | 4 | 45 | no | — |
| 254 | #3484 | — | 2 | 90 | no | — |
| 255 | #3484 | — | 2 | 180 | no | — |
| 256 | #3484 | — | 4 | 180 | no | — |
| 257 | #3484 | — | 4 | 90 | no | — |
| 258 | #3484 | — | 4 | 180 | no | — |
| 259 | #3484 | — | 4 | 90 | no | — |
| 260 | #3444 | — | 4 | 180 | no | — |
| 261 | #3444 | — | 4 | 45 | no | — |
| 262 | C22×#124 | — | 4 | 45 | no | — |
| 263 | C22×#124 | H(5,𝔽2) | 1 | 45 | yes | — |
| 264 | C22×#120 | — | 2 | 90 | no | — |
| 265 | C22×#120 | — | 2 | 45 | no | — |
| 266 | C22×#120 | — | 4 | 15 | no | — |
| 267 | C22×#120 | — | 4 | 15 | no | — |
| 268 | C22×#120 | — | 4 | 45 | no | — |
| 269 | C22×#120 | — | 4 | 15 | no | — |
| 270 | C22×#120 | — | 4 | 15 | no | — |
| 271 | C22×#120 | H(5,𝔽2) | 1 | 15 | yes | — |
| 272 | C22×#120 | C25 | 1 | 15 | yes | — |
| 273 | C2×B(4,𝔽2) | — | 8 | 90 | no | — |
| 274 | #2846 | — | 4 | 180 | no | — |
| 275 | #2846 | — | 16 | 180 | no | — |
| 276 | #2842 | — | 4 | 60 | no | — |
| 277 | #2736 | — | 16 | 60 | no | — |
| 278 | #2679 | — | 16 | 60 | no | — |
| 279 | C2×#399 | — | 4 | 15 | no | — |
| 280 | C2×#397 | — | 4 | 45 | no | — |
| 281 | C2×#396 | — | 4 | 30 | no | — |
| 282 | C2×#394 | — | 4 | 90 | no | — |
| 283 | C2×#393 | — | 4 | 45 | no | — |
| 284 | C2×#390 | — | 4 | 45 | no | — |
| 285 | C2×#388 | — | 4 | 90 | no | — |
| 286 | C2×#379 | — | 2 | 45 | no | — |
| 287 | C2×#379 | — | 2 | 90 | no | — |
| 288 | C2×#379 | — | 4 | 45 | no | — |
| 289 | C2×#379 | — | 4 | 90 | no | — |
| 290 | C2×#379 | — | 4 | 45 | no | — |
| 291 | C2×#379 | — | 4 | 90 | no | — |
| 292 | C2×#379 | — | 4 | 45 | no | — |
| 293 | C2×#379 | C25 | 1 | 45 | yes | — |
| 294 | #2029 | — | 8 | 90 | no | — |
| 295 | #2021 | — | 8 | 90 | no | — |
| 296 | #2021 | — | 8 | 180 | no | — |
| 297 | #1898 | — | 4 | 180 | no | — |
| 298 | #1898 | — | 4 | 180 | no | — |
| 299 | #1898 | — | 4 | 180 | no | — |
| 300 | #1889 | — | 8 | 180 | no | — |
| 301 | #1889 | — | 8 | 90 | no | — |
| 302 | #1819 | — | 2 | 90 | no | — |
| 303 | #1819 | — | 2 | 180 | no | — |
| 304 | #1781 | — | 2 | 90 | no | — |
| 305 | #1781 | — | 2 | 180 | no | — |
| 306 | #1440 | — | 2 | 90 | no | — |
| 307 | #1440 | — | 2 | 45 | no | — |
| 308 | #1440 | — | 4 | 90 | no | — |
| 309 | #1439 | — | 4 | 90 | no | — |
| 310 | #1439 | — | 4 | 90 | no | — |
| 311 | #1439 | — | 4 | 90 | no | — |
| 312 | #1438 | — | 2 | 45 | no | — |
| 313 | #1438 | — | 2 | 90 | no | — |
| 314 | #1438 | — | 4 | 45 | no | — |
| 315 | #1438 | — | 4 | 90 | no | — |
| 316 | #1438 | — | 4 | 45 | no | — |
| 317 | #1437 | — | 4 | 45 | no | — |
| 318 | #1437 | — | 4 | 45 | no | — |
| 319 | #1437 | — | 4 | 15 | no | — |
| 320 | #1437 | — | 4 | 30 | no | — |
| 321 | #1304 | — | 4 | 180 | no | — |
| 322 | C26 | — | 2 | 45 | no | — |
| 323 | C26 | — | 4 | 1 | no | — |
| 324 | C26 | — | 4 | 15 | no | — |
| 325 | C26 | — | 4 | 5 | no | — |
| 326 | C26 | — | 8 | 180 | no | — |
| 327 | C26 | — | 16 | 30 | no | — |
| 328 | C26 | — | 16 | 18 | no | — |
| 329 | C26 | — | 16 | 90 | no | — |
| 330 | C26 | — | 16 | 180 | no | — |
| 331 | C26 | — | 16 | 240 | no | — |
| 332 | C26 | — | 16 | 16 | no | — |
| 333 | C26 | H(3,𝔽4) | 1 | 5 | yes | — |
| 334 | C26 | C26 | 1 | 1 | yes | characteristic |
| 335 | C2×2−1+4 | — | 4 | 45 | no | — |
| 336 | C2×H(5,𝔽2) | — | 2 | 90 | no | — |
| 337 | C2×H(5,𝔽2) | — | 4 | 30 | no | — |
| 338 | C23×Q8 | — | 4 | 15 | no | — |
| 339 | C23×Q8 | H(3,𝔽4) | 1 | 15 | yes | — |
| 340 | C23×D4 | — | 4 | 45 | no | — |
| 341 | C23×D4 | — | 4 | 45 | no | — |
| 342 | C23×D4 | C2×H(5,𝔽2) | 1 | 45 | yes | — |
| 343 | #564 | — | 4 | 3 | no | — |
| 344 | #564 | — | 4 | 15 | no | — |
| 345 | #563 | — | 4 | 180 | no | — |
| 346 | #563 | — | 4 | 180 | no | — |
| 347 | #563 | — | 4 | 180 | no | — |
| 348 | #563 | — | 4 | 180 | no | — |
| 349 | #563 | — | 4 | 180 | no | — |
| 350 | #563 | — | 4 | 180 | no | — |
| 351 | #563 | — | 4 | 90 | no | — |
| 352 | #563 | — | 4 | 180 | no | — |
| 353 | #562 | — | 4 | 180 | no | — |
| 354 | #562 | — | 4 | 180 | no | — |
| 355 | #562 | — | 4 | 180 | no | — |
| 356 | #562 | — | 4 | 180 | no | — |
| 357 | #562 | — | 4 | 180 | no | — |
| 358 | #562 | — | 4 | 180 | no | — |
| 359 | #562 | — | 4 | 45 | no | — |
| 360 | #562 | — | 4 | 180 | no | — |
| 361 | #562 | — | 4 | 45 | no | — |
| 362 | H(3,𝔽4) | — | 4 | 30 | no | — |
| 363 | H(3,𝔽4) | — | 4 | 20 | no | — |
| 364 | H(3,𝔽4) | — | 4 | 180 | no | — |
| 365 | H(3,𝔽4) | — | 4 | 180 | no | — |
| 366 | H(3,𝔽4) | — | 4 | 60 | no | — |
| 367 | H(3,𝔽4) | — | 4 | 60 | no | — |
| 368 | H(3,𝔽4) | — | 4 | 60 | no | — |
| 369 | H(3,𝔽4) | — | 4 | 60 | no | — |
| 370 | H(3,𝔽4) | — | 4 | 180 | no | — |
| 371 | H(3,𝔽4) | — | 4 | 180 | no | — |
| 372 | H(3,𝔽4) | — | 4 | 180 | no | — |
| 373 | H(3,𝔽4) | — | 4 | 180 | no | — |
| 374 | H(3,𝔽4) | — | 4 | 180 | no | — |
| 375 | #560 | — | 4 | 180 | no | — |
| 376 | #560 | — | 4 | 180 | no | — |
| 377 | #560 | — | 4 | 180 | no | — |
| 378 | #560 | — | 4 | 180 | no | — |
| 379 | #560 | — | 4 | 180 | no | — |
| 380 | #559 | — | 4 | 180 | no | — |
| 381 | #559 | — | 4 | 180 | no | — |
| 382 | #559 | — | 4 | 180 | no | — |
| 383 | #559 | — | 4 | 180 | no | — |
| 384 | #559 | — | 4 | 180 | no | — |
| 385 | #559 | — | 4 | 180 | no | — |
| 386 | #559 | — | 4 | 180 | no | — |
| 387 | #559 | — | 4 | 45 | no | — |
| 388 | #559 | — | 4 | 45 | no | — |
| 389 | Q82 | — | 4 | 90 | no | — |
| 390 | Q82 | — | 4 | 60 | no | — |
| 391 | #556 | — | 4 | 180 | no | — |
| 392 | #556 | — | 4 | 180 | no | — |
| 393 | #556 | — | 4 | 180 | no | — |
| 394 | #556 | — | 4 | 180 | no | — |
| 395 | #556 | — | 4 | 180 | no | — |
| 396 | #556 | — | 4 | 180 | no | — |
| 397 | #556 | — | 4 | 180 | no | — |
| 398 | #556 | — | 4 | 90 | no | — |
| 399 | #556 | — | 4 | 180 | no | — |
| 400 | #556 | — | 4 | 90 | no | — |
| 401 | #556 | — | 4 | 180 | no | — |
| 402 | #556 | — | 4 | 180 | no | — |
| 403 | #556 | — | 4 | 180 | no | — |
| 404 | #556 | — | 4 | 180 | no | — |
| 405 | #556 | — | 4 | 180 | no | — |
| 406 | #556 | — | 4 | 180 | no | — |
| 407 | #555 | — | 4 | 180 | no | — |
| 408 | #555 | — | 4 | 180 | no | — |
| 409 | #555 | — | 4 | 180 | no | — |
| 410 | #555 | — | 4 | 180 | no | — |
| 411 | #555 | — | 4 | 180 | no | — |
| 412 | #555 | — | 4 | 180 | no | — |
| 413 | #555 | — | 4 | 45 | no | — |
| 414 | #555 | — | 4 | 180 | no | — |
| 415 | #555 | — | 4 | 45 | no | — |
| 416 | #551 | — | 4 | 180 | no | — |
| 417 | #551 | — | 4 | 180 | no | — |
| 418 | #551 | — | 4 | 180 | no | — |
| 419 | #551 | — | 4 | 180 | no | — |
| 420 | #551 | — | 4 | 180 | no | — |
| 421 | #551 | — | 4 | 180 | no | — |
| 422 | #551 | — | 4 | 180 | no | — |
| 423 | #551 | — | 4 | 180 | no | — |
| 424 | #551 | — | 4 | 180 | no | — |
| 425 | #551 | — | 4 | 180 | no | — |
| 426 | #551 | — | 4 | 180 | no | — |
| 427 | #551 | — | 4 | 180 | no | — |
| 428 | #551 | — | 4 | 180 | no | — |
| 429 | #551 | — | 4 | 180 | no | — |
| 430 | #551 | — | 4 | 180 | no | — |
| 431 | #551 | — | 4 | 180 | no | — |
| 432 | #551 | — | 4 | 180 | no | — |
| 433 | #551 | — | 4 | 180 | no | — |
| 434 | #551 | — | 4 | 180 | no | — |
| 435 | #551 | — | 4 | 180 | no | — |
| 436 | #551 | — | 4 | 180 | no | — |
| 437 | #551 | — | 4 | 180 | no | — |
| 438 | #551 | — | 4 | 180 | no | — |
| 439 | #551 | — | 4 | 180 | no | — |
| 440 | #551 | — | 4 | 180 | no | — |
| 441 | #551 | — | 4 | 180 | no | — |
| 442 | #551 | — | 4 | 180 | no | — |
| 443 | #551 | — | 4 | 180 | no | — |
| 444 | #551 | — | 4 | 180 | no | — |
| 445 | #551 | — | 4 | 180 | no | — |
| 446 | D4×Q8 | — | 4 | 180 | no | — |
| 447 | D4×Q8 | — | 4 | 180 | no | — |
| 448 | D4×Q8 | — | 4 | 90 | no | — |
| 449 | D4×Q8 | — | 4 | 180 | no | — |
| 450 | D4×Q8 | — | 4 | 180 | no | — |
| 451 | D4×Q8 | — | 4 | 90 | no | — |
| 452 | #548 | — | 4 | 180 | no | — |
| 453 | #548 | — | 4 | 180 | no | — |
| 454 | #548 | — | 4 | 180 | no | — |
| 455 | #548 | — | 4 | 180 | no | — |
| 456 | #548 | — | 4 | 180 | no | — |
| 457 | #548 | — | 4 | 180 | no | — |
| 458 | #548 | — | 4 | 180 | no | — |
| 459 | #548 | — | 4 | 180 | no | — |
| 460 | #548 | — | 4 | 180 | no | — |
| 461 | #548 | — | 4 | 180 | no | — |
| 462 | #546 | — | 4 | 180 | no | — |
| 463 | #546 | — | 4 | 180 | no | — |
| 464 | #546 | — | 4 | 180 | no | — |
| 465 | #546 | — | 4 | 180 | no | — |
| 466 | #546 | — | 4 | 180 | no | — |
| 467 | #546 | — | 4 | 180 | no | — |
| 468 | #546 | — | 4 | 180 | no | — |
| 469 | #546 | — | 4 | 180 | no | — |
| 470 | #546 | — | 4 | 180 | no | — |
| 471 | #546 | — | 4 | 180 | no | — |
| 472 | #546 | — | 4 | 180 | no | — |
| 473 | #546 | — | 4 | 180 | no | — |
| 474 | #546 | — | 4 | 180 | no | — |
| 475 | #546 | — | 4 | 180 | no | — |
| 476 | #546 | — | 4 | 180 | no | — |
| 477 | #546 | — | 4 | 180 | no | — |
| 478 | #546 | — | 4 | 180 | no | — |
| 479 | #546 | — | 4 | 180 | no | — |
| 480 | #546 | — | 4 | 180 | no | — |
| 481 | #546 | — | 4 | 180 | no | — |
| 482 | #546 | — | 4 | 180 | no | — |
| 483 | #546 | — | 4 | 180 | no | — |
| 484 | #546 | — | 4 | 180 | no | — |
| 485 | #546 | — | 4 | 180 | no | — |
| 486 | #546 | — | 4 | 180 | no | — |
| 487 | #546 | — | 4 | 180 | no | — |
| 488 | #546 | — | 4 | 180 | no | — |
| 489 | #546 | — | 4 | 180 | no | — |
| 490 | #546 | — | 4 | 180 | no | — |
| 491 | #546 | — | 4 | 180 | no | — |
| 492 | D42 | — | 4 | 180 | no | — |
| 493 | D42 | — | 4 | 180 | no | — |
| 494 | D42 | — | 4 | 180 | no | — |
| 495 | D42 | — | 4 | 180 | no | — |
| 496 | D42 | — | 4 | 180 | no | — |
| 497 | D42 | — | 4 | 180 | no | — |
| 498 | D42 | — | 4 | 90 | no | — |
| 499 | D42 | — | 4 | 180 | no | — |
| 500 | #543 | — | 2 | 90 | no | — |
| 501 | #543 | — | 4 | 45 | no | — |
| 502 | #543 | — | 4 | 90 | no | — |
| 503 | #543 | — | 4 | 180 | no | — |
| 504 | #543 | — | 4 | 60 | no | — |
| 505 | #543 | — | 4 | 15 | no | — |
| 506 | #543 | — | 4 | 15 | no | — |
| 507 | #542 | — | 4 | 180 | no | — |
| 508 | #542 | — | 4 | 180 | no | — |
| 509 | #542 | — | 4 | 180 | no | — |
| 510 | #542 | — | 4 | 180 | no | — |
| 511 | #542 | — | 4 | 180 | no | — |
| 512 | #542 | — | 4 | 180 | no | — |
| 513 | #542 | — | 4 | 180 | no | — |
| 514 | #542 | — | 4 | 180 | no | — |
| 515 | #542 | — | 4 | 180 | no | — |
| 516 | #542 | — | 4 | 180 | no | — |
| 517 | #542 | — | 4 | 180 | no | — |
| 518 | #542 | — | 4 | 180 | no | — |
| 519 | #542 | — | 4 | 180 | no | — |
| 520 | #542 | — | 4 | 180 | no | — |
| 521 | #542 | — | 4 | 180 | no | — |
| 522 | #542 | — | 4 | 180 | no | — |
| 523 | #542 | — | 4 | 180 | no | — |
| 524 | #542 | — | 4 | 180 | no | — |
| 525 | #542 | — | 4 | 180 | no | — |
| 526 | #542 | — | 4 | 180 | no | — |
| 527 | #542 | — | 4 | 180 | no | — |
| 528 | #542 | — | 4 | 180 | no | — |
| 529 | #542 | — | 4 | 180 | no | — |
| 530 | #542 | — | 4 | 180 | no | — |
| 531 | #542 | — | 4 | 180 | no | — |
| 532 | #542 | — | 4 | 180 | no | — |
| 533 | #542 | — | 4 | 180 | no | — |
| 534 | #542 | — | 4 | 180 | no | — |
| 535 | #542 | — | 4 | 180 | no | — |
| 536 | #542 | — | 4 | 180 | no | — |
| 537 | #538 | — | 4 | 90 | no | — |
| 538 | #538 | — | 4 | 90 | no | — |
| 539 | #538 | — | 4 | 180 | no | — |
| 540 | #538 | — | 4 | 180 | no | — |
| 541 | #538 | — | 4 | 180 | no | — |
| 542 | #538 | — | 4 | 180 | no | — |
| 543 | #538 | — | 4 | 90 | no | — |
| 544 | #538 | — | 4 | 90 | no | — |
| 545 | #538 | — | 4 | 180 | no | — |
| 546 | #538 | — | 4 | 180 | no | — |
| 547 | #538 | — | 4 | 180 | no | — |
| 548 | #538 | — | 4 | 180 | no | — |
| 549 | #538 | — | 4 | 180 | no | — |
| 550 | #538 | — | 4 | 180 | no | — |
| 551 | #538 | — | 4 | 180 | no | — |
| 552 | #538 | — | 4 | 180 | no | — |
| 553 | #538 | — | 4 | 180 | no | — |
| 554 | #538 | — | 4 | 180 | no | — |
| 555 | #538 | — | 4 | 180 | no | — |
| 556 | #538 | — | 4 | 180 | no | — |
| 557 | #538 | — | 4 | 180 | no | — |
| 558 | #538 | — | 4 | 180 | no | — |
| 559 | #538 | — | 4 | 180 | no | — |
| 560 | #538 | — | 4 | 180 | no | — |
| 561 | #538 | — | 4 | 180 | no | — |
| 562 | #538 | — | 4 | 180 | no | — |
| 563 | #538 | — | 4 | 180 | no | — |
| 564 | #538 | — | 4 | 180 | no | — |
| 565 | #538 | — | 4 | 180 | no | — |
| 566 | #538 | — | 4 | 180 | no | — |
| 567 | #538 | — | 4 | 180 | no | — |
| 568 | #538 | — | 4 | 180 | no | — |
| 569 | #536 | — | 4 | 90 | no | — |
| 570 | #536 | — | 4 | 180 | no | — |
| 571 | #536 | — | 4 | 180 | no | — |
| 572 | #536 | — | 4 | 180 | no | — |
| 573 | #536 | — | 4 | 180 | no | — |
| 574 | #536 | — | 4 | 180 | no | — |
| 575 | #536 | — | 4 | 180 | no | — |
| 576 | #536 | — | 4 | 180 | no | — |
| 577 | #535 | — | 4 | 180 | no | — |
| 578 | #535 | — | 4 | 90 | no | — |
| 579 | #535 | — | 4 | 180 | no | — |
| 580 | #535 | — | 4 | 180 | no | — |
| 581 | #535 | — | 4 | 180 | no | — |
| 582 | #535 | — | 4 | 180 | no | — |
| 583 | #535 | — | 4 | 180 | no | — |
| 584 | #535 | — | 4 | 180 | no | — |
| 585 | #534 | — | 2 | 90 | no | — |
| 586 | #534 | — | 2 | 180 | no | — |
| 587 | #534 | — | 4 | 180 | no | — |
| 588 | #534 | — | 4 | 90 | no | — |
| 589 | #534 | — | 4 | 45 | no | — |
| 590 | #534 | — | 4 | 90 | no | — |
| 591 | #534 | — | 4 | 180 | no | — |
| 592 | #534 | — | 4 | 180 | no | — |
| 593 | #534 | — | 4 | 180 | no | — |
| 594 | #534 | — | 4 | 180 | no | — |
| 595 | #534 | — | 4 | 45 | no | — |
| 596 | #534 | — | 4 | 45 | no | — |
| 597 | #533 | — | 4 | 45 | no | — |
| 598 | #533 | — | 4 | 90 | no | — |
| 599 | #533 | — | 4 | 180 | no | — |
| 600 | #533 | — | 4 | 180 | no | — |
| 601 | #533 | — | 4 | 180 | no | — |
| 602 | #532 | — | 4 | 90 | no | — |
| 603 | #532 | — | 4 | 45 | no | — |
| 604 | #532 | — | 4 | 180 | no | — |
| 605 | #532 | — | 4 | 180 | no | — |
| 606 | #532 | — | 4 | 180 | no | — |
| 607 | #529 | — | 4 | 90 | no | — |
| 608 | #529 | — | 4 | 90 | no | — |
| 609 | #529 | — | 4 | 180 | no | — |
| 610 | #529 | — | 4 | 180 | no | — |
| 611 | #529 | — | 4 | 180 | no | — |
| 612 | #529 | — | 4 | 180 | no | — |
| 613 | #529 | — | 4 | 180 | no | — |
| 614 | #529 | — | 4 | 180 | no | — |
| 615 | #529 | — | 4 | 180 | no | — |
| 616 | #529 | — | 4 | 180 | no | — |
| 617 | #529 | — | 4 | 180 | no | — |
| 618 | #529 | — | 4 | 180 | no | — |
| 619 | #529 | — | 4 | 180 | no | — |
| 620 | #529 | — | 4 | 180 | no | — |
| 621 | #529 | — | 4 | 180 | no | — |
| 622 | #529 | — | 4 | 180 | no | — |
| 623 | C2×#124 | — | 4 | 90 | no | — |
| 624 | C2×#124 | — | 4 | 180 | no | — |
| 625 | C2×#124 | — | 4 | 180 | no | — |
| 626 | C2×#124 | — | 4 | 180 | no | — |
| 627 | C2×#124 | — | 4 | 180 | no | — |
| 628 | C2×#124 | — | 4 | 180 | no | — |
| 629 | C2×#124 | — | 4 | 180 | no | — |
| 630 | C2×#124 | — | 4 | 180 | no | — |
| 631 | #525 | — | 4 | 180 | no | — |
| 632 | #525 | — | 4 | 180 | no | — |
| 633 | #525 | — | 4 | 180 | no | — |
| 634 | #525 | — | 4 | 180 | no | — |
| 635 | #525 | — | 4 | 180 | no | — |
| 636 | #525 | — | 4 | 180 | no | — |
| 637 | #525 | — | 4 | 90 | no | — |
| 638 | #525 | — | 4 | 180 | no | — |
| 639 | C2×#120 | — | 2 | 180 | no | — |
| 640 | C2×#120 | — | 4 | 60 | no | — |
| 641 | C2×#120 | — | 4 | 30 | no | — |
| 642 | C2×#120 | — | 4 | 180 | no | — |
| 643 | C2×#120 | — | 4 | 90 | no | — |
| 644 | C2×#120 | — | 4 | 180 | no | — |
| 645 | C2×#120 | — | 4 | 180 | no | — |
| 646 | C2×#120 | — | 4 | 30 | no | — |
| 647 | C2×#120 | — | 4 | 60 | no | — |
| 648 | C2×#120 | — | 8 | 180 | no | — |
| 649 | C2×#120 | — | 8 | 90 | no | — |
| 650 | C2×#120 | — | 8 | 180 | no | — |
| 651 | C2×#120 | — | 16 | 180 | no | — |
| 652 | C2×#120 | — | 16 | 90 | no | — |
| 653 | C2×#120 | — | 16 | 180 | no | — |
| 654 | C2×#120 | — | 16 | 90 | no | — |
| 655 | C2×#120 | — | 16 | 90 | no | — |
| 656 | #519 | — | 4 | 45 | no | — |
| 657 | #519 | — | 4 | 180 | no | — |
| 658 | #518 | — | 2 | 180 | no | — |
| 659 | #518 | — | 2 | 90 | no | — |
| 660 | #518 | — | 4 | 90 | no | — |
| 661 | #518 | — | 4 | 180 | no | — |
| 662 | #518 | — | 4 | 180 | no | — |
| 663 | #518 | — | 4 | 90 | no | — |
| 664 | C4×#41 | — | 4 | 90 | no | — |
| 665 | C4×#41 | — | 4 | 180 | no | — |
| 666 | C4×#41 | — | 4 | 180 | no | — |
| 667 | C22×C4⋊C4 | — | 4 | 45 | no | — |
| 668 | C22×C22⋊C4 | — | 2 | 90 | no | — |
| 669 | C22×C22⋊C4 | — | 2 | 45 | no | — |
| 670 | C22×C22⋊C4 | — | 4 | 45 | no | — |
| 671 | C22×C22⋊C4 | — | 4 | 45 | no | — |
| 672 | C22×C22⋊C4 | — | 4 | 45 | no | — |
| 673 | C22×C22⋊C4 | — | 4 | 90 | no | — |
| 674 | C22×C22⋊C4 | — | 4 | 45 | no | — |
| 675 | C22×C22⋊C4 | — | 4 | 45 | no | — |
| 676 | C22×C22⋊C4 | — | 4 | 90 | no | — |
| 677 | C22×C22⋊C4 | — | 4 | 45 | no | — |
| 678 | C22×C22⋊C4 | H(3,𝔽4) | 1 | 45 | yes | — |
| 679 | C22×C22⋊C4 | C2×H(5,𝔽2) | 1 | 45 | yes | — |
| 680 | C22×C42 | — | 4 | 15 | no | — |
| 681 | C22×C42 | — | 4 | 15 | no | — |
| 682 | C22×C42 | H(3,𝔽4) | 1 | 15 | yes | — |
| 683 | B(4,𝔽2) | — | 32 | 180 | no | — |
| 684 | C2×#99 | — | 8 | 90 | no | — |
| 685 | C2×#99 | — | 8 | 180 | no | — |
| 686 | #399 | — | 16 | 30 | no | — |
| 687 | #397 | — | 16 | 90 | no | — |
| 688 | #396 | — | 16 | 60 | no | — |
| 689 | #394 | — | 16 | 180 | no | — |
| 690 | #393 | — | 16 | 90 | no | — |
| 691 | #390 | — | 16 | 90 | no | — |
| 692 | #388 | — | 16 | 180 | no | — |
| 693 | #379 | — | 2 | 180 | no | — |
| 694 | #379 | — | 8 | 180 | no | — |
| 695 | #379 | — | 8 | 90 | no | — |
| 696 | #379 | — | 8 | 180 | no | — |
| 697 | #379 | — | 16 | 90 | no | — |
| 698 | #379 | — | 16 | 90 | no | — |
| 699 | #379 | — | 16 | 180 | no | — |
| 700 | #379 | — | 16 | 180 | no | — |
| 701 | C2×#95 | — | 4 | 30 | no | — |
| 702 | C2×#95 | — | 4 | 15 | no | — |
| 703 | C2×#95 | — | 4 | 15 | no | — |
| 704 | C2×#95 | — | 4 | 90 | no | — |
| 705 | C2×#95 | — | 4 | 45 | no | — |
| 706 | #342 | — | 8 | 90 | no | — |
| 707 | #342 | — | 8 | 180 | no | — |
| 708 | C25 | — | 4 | 15 | no | — |
| 709 | C25 | — | 4 | 15 | no | — |
| 710 | C25 | — | 4 | 15 | no | — |
| 711 | C25 | — | 4 | 60 | no | — |
| 712 | C25 | — | 4 | 90 | no | — |
| 713 | C25 | — | 8 | 90 | no | — |
| 714 | C25 | — | 8 | 180 | no | — |
| 715 | C25 | — | 8 | 180 | no | — |
| 716 | C25 | — | 8 | 90 | no | — |
| 717 | C25 | — | 16 | 360 | no | — |
| 718 | C25 | — | 16 | 3 | no | — |
| 719 | C25 | — | 16 | 90 | no | — |
| 720 | C25 | — | 16 | 45 | no | — |
| 721 | C25 | — | 16 | 45 | no | — |
| 722 | C25 | — | 16 | 30 | no | — |
| 723 | C25 | — | 16 | 15 | no | — |
| 724 | C25 | — | 16 | 45 | no | — |
| 725 | C25 | — | 16 | 15 | no | — |
| 726 | C25 | — | 16 | 15 | no | — |
| 727 | C25 | — | 16 | 720 | no | — |
| 728 | C25 | — | 16 | 360 | no | — |
| 729 | C25 | — | 16 | 720 | no | — |
| 730 | C25 | — | 16 | 720 | no | — |
| 731 | C25 | — | 16 | 720 | no | — |
| 732 | C25 | — | 16 | 120 | no | — |
| 733 | C25 | — | 16 | 60 | no | — |
| 734 | C25 | — | 16 | 12 | no | — |
| 735 | C25 | — | 16 | 1440 | no | — |
| 736 | C25 | — | 16 | 240 | no | — |
| 737 | C25 | — | 64 | 3 | no | — |
| 738 | C25 | C2×H(3,𝔽4) | 1 | 15 | yes | — |
| 739 | C25 | C22×H(5,𝔽2) | 1 | 15 | yes | — |
| 740 | 2−1+4 | — | 64 | 45 | no | — |
| 741 | H(5,𝔽2) | — | 32 | 90 | no | — |
| 742 | H(5,𝔽2) | — | 64 | 30 | no | — |
| 743 | C2×#41 | — | 4 | 90 | no | — |
| 744 | C2×#41 | — | 4 | 180 | no | — |
| 745 | C2×#41 | — | 4 | 180 | no | — |
| 746 | C22×Q8 | — | 4 | 45 | no | — |
| 747 | C22×Q8 | — | 4 | 180 | no | — |
| 748 | C22×Q8 | — | 16 | 15 | no | — |
| 749 | C22×Q8 | — | 64 | 15 | no | — |
| 750 | C22×D4 | — | 2 | 180 | no | — |
| 751 | C22×D4 | — | 2 | 90 | no | — |
| 752 | C22×D4 | — | 4 | 90 | no | — |
| 753 | C22×D4 | — | 4 | 180 | no | — |
| 754 | C22×D4 | — | 4 | 90 | no | — |
| 755 | C22×D4 | — | 4 | 180 | no | — |
| 756 | C22×D4 | — | 8 | 90 | no | — |
| 757 | C22×D4 | — | 8 | 180 | no | — |
| 758 | C22×D4 | — | 16 | 45 | no | — |
| 759 | C22×D4 | — | 16 | 45 | no | — |
| 760 | C22×D4 | — | 16 | 45 | no | — |
| 761 | C22×D4 | — | 16 | 90 | no | — |
| 762 | C22×D4 | — | 64 | 45 | no | — |
| 763 | C23×C4 | — | 4 | 45 | no | — |
| 764 | C23×C4 | — | 4 | 45 | no | — |
| 765 | C23×C4 | C2×H(3,𝔽4) | 1 | 45 | yes | — |
| 766 | C4⋊Q8 | — | 4 | 90 | no | — |
| 767 | C4⋊Q8 | — | 4 | 45 | no | — |
| 768 | C4⋊Q8 | — | 4 | 180 | no | — |
| 769 | C4⋊Q8 | — | 4 | 180 | no | — |
| 770 | C4⋊Q8 | — | 4 | 180 | no | — |
| 771 | #127 | — | 4 | 45 | no | — |
| 772 | #127 | — | 4 | 180 | no | — |
| 773 | #126 | — | 4 | 180 | no | — |
| 774 | #126 | — | 4 | 180 | no | — |
| 775 | #126 | — | 4 | 180 | no | — |
| 776 | #126 | — | 4 | 180 | no | — |
| 777 | #126 | — | 4 | 180 | no | — |
| 778 | #126 | — | 4 | 180 | no | — |
| 779 | #126 | — | 4 | 180 | no | — |
| 780 | #126 | — | 4 | 180 | no | — |
| 781 | #126 | — | 4 | 180 | no | — |
| 782 | #126 | — | 4 | 180 | no | — |
| 783 | #125 | — | 4 | 45 | no | — |
| 784 | #125 | — | 4 | 45 | no | — |
| 785 | #125 | — | 4 | 180 | no | — |
| 786 | #124 | — | 4 | 90 | no | — |
| 787 | #124 | — | 4 | 180 | no | — |
| 788 | #124 | — | 4 | 180 | no | — |
| 789 | #124 | — | 4 | 180 | no | — |
| 790 | #124 | — | 4 | 180 | no | — |
| 791 | #124 | — | 4 | 180 | no | — |
| 792 | #124 | — | 4 | 180 | no | — |
| 793 | #124 | — | 4 | 180 | no | — |
| 794 | #124 | — | 4 | 180 | no | — |
| 795 | #124 | — | 4 | 180 | no | — |
| 796 | #124 | — | 4 | 180 | no | — |
| 797 | #124 | — | 4 | 180 | no | — |
| 798 | #124 | — | 4 | 180 | no | — |
| 799 | #124 | — | 4 | 180 | no | — |
| 800 | #124 | — | 4 | 180 | no | — |
| 801 | #124 | — | 4 | 180 | no | — |
| 802 | #124 | — | 4 | 180 | no | — |
| 803 | #124 | — | 4 | 180 | no | — |
| 804 | #123 | — | 4 | 180 | no | — |
| 805 | #123 | — | 4 | 180 | no | — |
| 806 | #123 | — | 4 | 180 | no | — |
| 807 | #123 | — | 4 | 180 | no | — |
| 808 | #123 | — | 4 | 180 | no | — |
| 809 | #123 | — | 4 | 180 | no | — |
| 810 | #123 | — | 4 | 180 | no | — |
| 811 | #123 | — | 4 | 180 | no | — |
| 812 | #123 | — | 4 | 180 | no | — |
| 813 | #123 | — | 4 | 180 | no | — |
| 814 | #123 | — | 4 | 180 | no | — |
| 815 | #123 | — | 4 | 180 | no | — |
| 816 | #123 | — | 4 | 180 | no | — |
| 817 | #123 | — | 4 | 180 | no | — |
| 818 | #123 | — | 4 | 180 | no | — |
| 819 | C22⋊Q8 | — | 4 | 180 | no | — |
| 820 | C22⋊Q8 | — | 4 | 90 | no | — |
| 821 | C22⋊Q8 | — | 4 | 90 | no | — |
| 822 | C22⋊Q8 | — | 4 | 180 | no | — |
| 823 | C22⋊Q8 | — | 4 | 180 | no | — |
| 824 | C22⋊Q8 | — | 4 | 180 | no | — |
| 825 | C22⋊Q8 | — | 4 | 180 | no | — |
| 826 | C22⋊Q8 | — | 4 | 180 | no | — |
| 827 | C22⋊Q8 | — | 4 | 180 | no | — |
| 828 | C22⋊Q8 | — | 4 | 180 | no | — |
| 829 | C22⋊Q8 | — | 4 | 180 | no | — |
| 830 | C22⋊Q8 | — | 4 | 180 | no | — |
| 831 | C22⋊Q8 | — | 4 | 180 | no | — |
| 832 | C22⋊Q8 | — | 4 | 180 | no | — |
| 833 | C22⋊Q8 | — | 4 | 180 | no | — |
| 834 | C22⋊Q8 | — | 4 | 180 | no | — |
| 835 | #121 | — | 4 | 180 | no | — |
| 836 | #121 | — | 4 | 90 | no | — |
| 837 | #121 | — | 4 | 90 | no | — |
| 838 | #121 | — | 4 | 180 | no | — |
| 839 | #121 | — | 4 | 180 | no | — |
| 840 | #121 | — | 4 | 180 | no | — |
| 841 | #121 | — | 4 | 180 | no | — |
| 842 | #121 | — | 4 | 180 | no | — |
| 843 | #121 | — | 4 | 180 | no | — |
| 844 | #121 | — | 4 | 180 | no | — |
| 845 | #121 | — | 4 | 180 | no | — |
| 846 | #121 | — | 4 | 180 | no | — |
| 847 | #121 | — | 4 | 180 | no | — |
| 848 | #121 | — | 4 | 180 | no | — |
| 849 | #121 | — | 4 | 180 | no | — |
| 850 | #121 | — | 4 | 180 | no | — |
| 851 | #120 | — | 4 | 180 | no | — |
| 852 | #120 | — | 4 | 180 | no | — |
| 853 | #120 | — | 4 | 180 | no | — |
| 854 | #120 | — | 4 | 180 | no | — |
| 855 | #120 | — | 4 | 60 | no | — |
| 856 | #120 | — | 4 | 180 | no | — |
| 857 | #120 | — | 4 | 180 | no | — |
| 858 | #120 | — | 4 | 180 | no | — |
| 859 | #120 | — | 4 | 180 | no | — |
| 860 | #120 | — | 4 | 180 | no | — |
| 861 | #120 | — | 4 | 180 | no | — |
| 862 | #120 | — | 4 | 180 | no | — |
| 863 | #120 | — | 4 | 60 | no | — |
| 864 | #120 | — | 16 | 360 | no | — |
| 865 | #120 | — | 16 | 180 | no | — |
| 866 | #120 | — | 32 | 360 | no | — |
| 867 | #120 | — | 32 | 180 | no | — |
| 868 | #120 | — | 32 | 90 | no | — |
| 869 | #120 | — | 32 | 120 | no | — |
| 870 | #120 | — | 32 | 120 | no | — |
| 871 | C4×Q8 | — | 4 | 90 | no | — |
| 872 | C4×Q8 | — | 4 | 180 | no | — |
| 873 | C4×Q8 | — | 4 | 90 | no | — |
| 874 | C4×Q8 | — | 4 | 180 | no | — |
| 875 | C4×Q8 | — | 4 | 180 | no | — |
| 876 | C4×Q8 | — | 4 | 180 | no | — |
| 877 | C4×D4 | — | 4 | 180 | no | — |
| 878 | C4×D4 | — | 4 | 180 | no | — |
| 879 | C4×D4 | — | 4 | 180 | no | — |
| 880 | C4×D4 | — | 4 | 180 | no | — |
| 881 | C4×D4 | — | 4 | 180 | no | — |
| 882 | C4×D4 | — | 4 | 180 | no | — |
| 883 | C4×D4 | — | 4 | 90 | no | — |
| 884 | C4×D4 | — | 4 | 180 | no | — |
| 885 | C4×D4 | — | 4 | 180 | no | — |
| 886 | C4×D4 | — | 4 | 90 | no | — |
| 887 | C4×D4 | — | 4 | 180 | no | — |
| 888 | C4×D4 | — | 4 | 180 | no | — |
| 889 | C4×D4 | — | 4 | 180 | no | — |
| 890 | C4×D4 | — | 4 | 180 | no | — |
| 891 | C4×D4 | — | 4 | 180 | no | — |
| 892 | C4×D4 | — | 4 | 180 | no | — |
| 893 | #117 | — | 4 | 90 | no | — |
| 894 | #117 | — | 4 | 180 | no | — |
| 895 | #117 | — | 4 | 180 | no | — |
| 896 | #117 | — | 4 | 180 | no | — |
| 897 | #117 | — | 4 | 180 | no | — |
| 898 | #117 | — | 4 | 180 | no | — |
| 899 | #117 | — | 4 | 180 | no | — |
| 900 | #117 | — | 4 | 180 | no | — |
| 901 | C2×C4⋊C4 | — | 16 | 45 | no | — |
| 902 | C2×C4⋊C4 | — | 16 | 45 | no | — |
| 903 | C2×C4⋊C4 | — | 16 | 45 | no | — |
| 904 | C2×C22⋊C4 | — | 2 | 90 | no | — |
| 905 | C2×C22⋊C4 | — | 2 | 180 | no | — |
| 906 | C2×C22⋊C4 | — | 4 | 45 | no | — |
| 907 | C2×C22⋊C4 | — | 4 | 90 | no | — |
| 908 | C2×C22⋊C4 | — | 4 | 180 | no | — |
| 909 | C2×C22⋊C4 | — | 4 | 90 | no | — |
| 910 | C2×C22⋊C4 | — | 4 | 180 | no | — |
| 911 | C2×C22⋊C4 | — | 4 | 180 | no | — |
| 912 | C2×C22⋊C4 | — | 4 | 180 | no | — |
| 913 | C2×C22⋊C4 | — | 4 | 180 | no | — |
| 914 | C2×C22⋊C4 | — | 4 | 45 | no | — |
| 915 | C2×C22⋊C4 | — | 4 | 45 | no | — |
| 916 | C2×C22⋊C4 | — | 4 | 180 | no | — |
| 917 | C2×C22⋊C4 | — | 4 | 90 | no | — |
| 918 | C2×C22⋊C4 | — | 8 | 90 | no | — |
| 919 | C2×C22⋊C4 | — | 8 | 180 | no | — |
| 920 | C2×C22⋊C4 | — | 8 | 180 | no | — |
| 921 | C2×C22⋊C4 | — | 8 | 90 | no | — |
| 922 | C2×C22⋊C4 | — | 8 | 180 | no | — |
| 923 | C2×C22⋊C4 | — | 8 | 90 | no | — |
| 924 | C2×C22⋊C4 | — | 16 | 45 | no | — |
| 925 | C2×C22⋊C4 | — | 16 | 90 | no | — |
| 926 | C2×C22⋊C4 | — | 16 | 45 | no | — |
| 927 | C2×C22⋊C4 | — | 16 | 90 | no | — |
| 928 | C2×C22⋊C4 | — | 16 | 90 | no | — |
| 929 | C2×C22⋊C4 | — | 16 | 45 | no | — |
| 930 | C2×C22⋊C4 | — | 16 | 90 | no | — |
| 931 | C2×C22⋊C4 | — | 16 | 90 | no | — |
| 932 | C2×C22⋊C4 | — | 16 | 90 | no | — |
| 933 | C2×C22⋊C4 | — | 16 | 90 | no | — |
| 934 | C2×C22⋊C4 | — | 16 | 45 | no | — |
| 935 | C2×C42 | — | 4 | 45 | no | — |
| 936 | C2×C42 | — | 4 | 180 | no | — |
| 937 | C2×C42 | — | 16 | 30 | no | — |
| 938 | C2×C42 | — | 16 | 15 | no | — |
| 939 | #99 | — | 32 | 90 | no | — |
| 940 | #99 | — | 32 | 180 | no | — |
| 941 | #95 | — | 16 | 45 | no | — |
| 942 | #95 | — | 16 | 90 | no | — |
| 943 | #95 | — | 16 | 30 | no | — |
| 944 | #95 | — | 16 | 15 | no | — |
| 945 | #95 | — | 16 | 15 | no | — |
| 946 | C24 | — | 2 | 45 | no | — |
| 947 | C24 | — | 4 | 90 | no | — |
| 948 | C24 | — | 4 | 30 | no | — |
| 949 | C24 | — | 4 | 15 | no | — |
| 950 | C24 | — | 4 | 5 | no | — |
| 951 | C24 | — | 4 | 180 | no | — |
| 952 | C24 | — | 8 | 45 | no | — |
| 953 | C24 | — | 8 | 45 | no | — |
| 954 | C24 | — | 8 | 90 | no | — |
| 955 | C24 | — | 8 | 45 | no | — |
| 956 | C24 | — | 8 | 90 | no | — |
| 957 | C24 | — | 8 | 180 | no | — |
| 958 | C24 | — | 8 | 360 | no | — |
| 959 | C24 | — | 8 | 45 | no | — |
| 960 | C24 | — | 8 | 120 | no | — |
| 961 | C24 | — | 16 | 180 | no | — |
| 962 | C24 | — | 16 | 180 | no | — |
| 963 | C24 | — | 16 | 180 | no | — |
| 964 | C24 | — | 16 | 60 | no | — |
| 965 | C24 | — | 16 | 180 | no | — |
| 966 | C24 | — | 16 | 60 | no | — |
| 967 | C24 | — | 16 | 360 | no | — |
| 968 | C24 | — | 16 | 180 | no | — |
| 969 | C24 | — | 16 | 360 | no | — |
| 970 | C24 | — | 16 | 180 | no | — |
| 971 | C24 | — | 16 | 180 | no | — |
| 972 | C24 | — | 16 | 180 | no | — |
| 973 | C24 | — | 16 | 180 | no | — |
| 974 | C24 | — | 16 | 360 | no | — |
| 975 | C24 | — | 16 | 180 | no | — |
| 976 | C24 | — | 16 | 360 | no | — |
| 977 | C24 | — | 16 | 180 | no | — |
| 978 | C24 | — | 16 | 360 | no | — |
| 979 | C24 | — | 16 | 180 | no | — |
| 980 | C24 | — | 16 | 15 | no | — |
| 981 | C24 | — | 16 | 1 | no | — |
| 982 | C24 | — | 16 | 180 | no | — |
| 983 | C24 | — | 16 | 20 | no | — |
| 984 | C24 | — | 16 | 1440 | no | — |
| 985 | C24 | — | 16 | 2880 | no | — |
| 986 | C24 | — | 16 | 480 | no | — |
| 987 | C24 | — | 16 | 2880 | no | — |
| 988 | C24 | — | 16 | 15 | no | — |
| 989 | C24 | — | 16 | 1 | no | — |
| 990 | C24 | — | 32 | 45 | no | — |
| 991 | C24 | — | 32 | 45 | no | — |
| 992 | C24 | — | 32 | 30 | no | — |
| 993 | C24 | — | 64 | 5 | no | — |
| 994 | C24 | — | 64 | 16 | no | — |
| 995 | C24 | C22×H(3,𝔽4) | 1 | 5 | yes | — |
| 996 | C24 | #62817 | 1 | 30 | yes | — |
| 997 | #41 | — | 32 | 180 | no | — |
| 998 | #41 | — | 32 | 90 | no | — |
| 999 | #41 | — | 32 | 180 | no | — |
| 1000 | C2×Q8 | — | 4 | 90 | no | — |
| 1001 | C2×Q8 | — | 4 | 60 | no | — |
| 1002 | C2×Q8 | — | 32 | 45 | no | — |
| 1003 | C2×Q8 | — | 32 | 180 | no | — |
| 1004 | C2×D4 | — | 4 | 180 | no | — |
| 1005 | C2×D4 | — | 4 | 90 | no | — |
| 1006 | C2×D4 | — | 4 | 180 | no | — |
| 1007 | C2×D4 | — | 16 | 180 | no | — |
| 1008 | C2×D4 | — | 16 | 90 | no | — |
| 1009 | C2×D4 | — | 16 | 180 | no | — |
| 1010 | C2×D4 | — | 32 | 90 | no | — |
| 1011 | C2×D4 | — | 32 | 180 | no | — |
| 1012 | C2×D4 | — | 32 | 90 | no | — |
| 1013 | C2×D4 | — | 32 | 180 | no | — |
| 1014 | C2×D4 | — | 32 | 90 | no | — |
| 1015 | C2×D4 | — | 32 | 180 | no | — |
| 1016 | C2×D4 | — | 32 | 90 | no | — |
| 1017 | C2×D4 | — | 32 | 180 | no | — |
| 1018 | C22×C4 | — | 2 | 45 | no | — |
| 1019 | C22×C4 | — | 2 | 90 | no | — |
| 1020 | C22×C4 | — | 4 | 90 | no | — |
| 1021 | C22×C4 | — | 4 | 180 | no | — |
| 1022 | C22×C4 | — | 8 | 45 | no | — |
| 1023 | C22×C4 | — | 8 | 45 | no | — |
| 1024 | C22×C4 | — | 8 | 90 | no | — |
| 1025 | C22×C4 | — | 8 | 90 | no | — |
| 1026 | C22×C4 | — | 8 | 45 | no | — |
| 1027 | C22×C4 | — | 8 | 45 | no | — |
| 1028 | C22×C4 | — | 32 | 45 | no | — |
| 1029 | C4⋊C4 | — | 4 | 90 | no | — |
| 1030 | C4⋊C4 | — | 4 | 90 | no | — |
| 1031 | C4⋊C4 | — | 4 | 180 | no | — |
| 1032 | C4⋊C4 | — | 4 | 180 | no | — |
| 1033 | C4⋊C4 | — | 64 | 45 | no | — |
| 1034 | C22⋊C4 | — | 4 | 180 | no | — |
| 1035 | C22⋊C4 | — | 4 | 180 | no | — |
| 1036 | C22⋊C4 | — | 4 | 180 | no | — |
| 1037 | C22⋊C4 | — | 4 | 180 | no | — |
| 1038 | C22⋊C4 | — | 4 | 180 | no | — |
| 1039 | C22⋊C4 | — | 16 | 180 | no | — |
| 1040 | C22⋊C4 | — | 16 | 180 | no | — |
| 1041 | C22⋊C4 | — | 16 | 90 | no | — |
| 1042 | C22⋊C4 | — | 32 | 180 | no | — |
| 1043 | C22⋊C4 | — | 32 | 90 | no | — |
| 1044 | C22⋊C4 | — | 32 | 90 | no | — |
| 1045 | C22⋊C4 | — | 32 | 180 | no | — |
| 1046 | C22⋊C4 | — | 32 | 90 | no | — |
| 1047 | C42 | — | 4 | 15 | no | — |
| 1048 | C42 | — | 4 | 45 | no | — |
| 1049 | C42 | — | 4 | 180 | no | — |
| 1050 | C42 | — | 64 | 15 | no | — |
| 1051 | C23 | — | 4 | 15 | no | — |
| 1052 | C23 | — | 4 | 90 | no | — |
| 1053 | C23 | — | 4 | 60 | no | — |
| 1054 | C23 | — | 4 | 15 | no | — |
| 1055 | C23 | — | 8 | 90 | no | — |
| 1056 | C23 | — | 8 | 180 | no | — |
| 1057 | C23 | — | 8 | 45 | no | — |
| 1058 | C23 | — | 8 | 90 | no | — |
| 1059 | C23 | — | 8 | 180 | no | — |
| 1060 | C23 | — | 8 | 90 | no | — |
| 1061 | C23 | — | 16 | 90 | no | — |
| 1062 | C23 | — | 16 | 45 | no | — |
| 1063 | C23 | — | 16 | 45 | no | — |
| 1064 | C23 | — | 16 | 45 | no | — |
| 1065 | C23 | — | 16 | 30 | no | — |
| 1066 | C23 | — | 16 | 15 | no | — |
| 1067 | C23 | — | 16 | 15 | no | — |
| 1068 | C23 | — | 16 | 45 | no | — |
| 1069 | C23 | — | 16 | 15 | no | — |
| 1070 | C23 | — | 16 | 15 | no | — |
| 1071 | C23 | — | 16 | 360 | no | — |
| 1072 | C23 | — | 16 | 90 | no | — |
| 1073 | C23 | — | 16 | 15 | no | — |
| 1074 | C23 | — | 16 | 30 | no | — |
| 1075 | C23 | — | 16 | 720 | no | — |
| 1076 | C23 | — | 16 | 360 | no | — |
| 1077 | C23 | — | 16 | 720 | no | — |
| 1078 | C23 | — | 16 | 720 | no | — |
| 1079 | C23 | — | 16 | 720 | no | — |
| 1080 | C23 | — | 16 | 240 | no | — |
| 1081 | C23 | — | 16 | 1440 | no | — |
| 1082 | C23 | — | 16 | 120 | no | — |
| 1083 | C23 | — | 16 | 60 | no | — |
| 1084 | C23 | — | 16 | 12 | no | — |
| 1085 | C23 | — | 16 | 3 | no | — |
| 1086 | C23 | — | 64 | 60 | no | — |
| 1087 | C23 | — | 64 | 60 | no | — |
| 1088 | C23 | #8093108 | 1 | 15 | yes | — |
| 1089 | Q8 | — | 16 | 60 | no | — |
| 1090 | Q8 | — | 16 | 90 | no | — |
| 1091 | D4 | — | 16 | 180 | no | — |
| 1092 | D4 | — | 16 | 180 | no | — |
| 1093 | D4 | — | 16 | 90 | no | — |
| 1094 | D4 | — | 64 | 180 | no | — |
| 1095 | C2×C4 | — | 4 | 45 | no | — |
| 1096 | C2×C4 | — | 8 | 90 | no | — |
| 1097 | C2×C4 | — | 8 | 45 | no | — |
| 1098 | C2×C4 | — | 16 | 90 | no | — |
| 1099 | C2×C4 | — | 16 | 180 | no | — |
| 1100 | C2×C4 | — | 16 | 45 | no | — |
| 1101 | C2×C4 | — | 16 | 90 | no | — |
| 1102 | C2×C4 | — | 16 | 45 | no | — |
| 1103 | C2×C4 | — | 16 | 90 | no | — |
| 1104 | C2×C4 | — | 16 | 45 | no | — |
| 1105 | C22 | — | 2 | 45 | no | — |
| 1106 | C22 | — | 4 | 15 | no | — |
| 1107 | C22 | — | 4 | 5 | no | — |
| 1108 | C22 | — | 8 | 180 | no | — |
| 1109 | C22 | — | 8 | 45 | no | — |
| 1110 | C22 | — | 16 | 30 | no | — |
| 1111 | C22 | — | 16 | 90 | no | — |
| 1112 | C22 | — | 16 | 180 | no | — |
| 1113 | C22 | — | 16 | 240 | no | — |
| 1114 | C22 | — | 16 | 16 | no | — |
| 1115 | C22 | — | 16 | 20 | no | — |
| 1116 | C22 | — | 16 | 18 | no | — |
| 1117 | C22 | — | 32 | 45 | no | — |
| 1118 | C22 | — | 64 | 15 | no | — |
| 1119 | C22 | — | 64 | 30 | no | — |
| 1120 | C22 | #72209699 | 1 | 1 | yes | characteristic |
| 1121 | C4 | — | 8 | 45 | no | — |
| 1122 | C4 | — | 32 | 45 | no | — |
| 1123 | C2 | — | 4 | 15 | no | — |
| 1124 | C2 | — | 16 | 12 | no | — |
| 1125 | C2 | — | 16 | 15 | no | — |
| 1126 | C2 | #72210030 | 1 | 3 | yes | — |
| subgroup | G/H | |
|---|---|---|
| center, socle | C22 | #72209699 |
| commutator, Frattini, cosocle | C26 | C26 |
| LCS | G ▷ C26 ▷ C22 ▷ C1 | |
| UCS | C1 ◁ C22 ◁ C26 ◁ G | |
| LECS | G ▷ C26 ▷ C22 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #72242694 | C2 | semidirect |
| 2. #72242693 | C22 | semidirect |
| 3. #72228244 | C2 | semidirect |
| 4. #72228241 | C22 | semidirect |
| 5. #72228240 | C22 | semidirect |
| 6. #72228238 | C22 | semidirect |
| 7. #72228237 | C22 | semidirect |
| 8. #72228235 | C2 | semidirect |
| 9. #72228233 | C22 | semidirect |
| 10. H(5,𝔽4) | C22 | semidirect |
| 11. #72219164 | C22 | semidirect |
| 12. #72211163 | C22 | semidirect |
| 14. #72209716 | C22 | semidirect |
| 19. #6342371 | C23 | semidirect |
| 21. #5020752 | C23 | semidirect |
| 29. #238078 | C23 | semidirect |
| 33. #119556 | C23 | semidirect |
| 34. #119556 | C23 | semidirect |
| 35. #115690 | C23 | semidirect |
| 36. #115690 | C23 | semidirect |
| 37. #110180 | C23 | semidirect |
| 38. C28 | C24 | semidirect |
| 68. C2×#2842 | C24 | semidirect |
| 91. #14679 | C24 | semidirect |
| 95. #13827 | C24 | semidirect |
| 105. #8101 | C24 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72242694 | 2 |
| #72228244 | 2 |
| #72228235 | 2 |