← #72227260
Subgroups — #72227260
Order 4096.
1043 conjugacy classes of subgroups.
The subgroup lattice has 806 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #72227241 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #72227183 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #72227181 | — | 2 | 1 | no | — |
| 4 | #72227180 | — | 2 | 1 | no | — |
| 5 | #72225383 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | #72225381 | — | 2 | 1 | no | — |
| 7 | #72225381 | — | 2 | 1 | no | — |
| 8 | #72225380 | — | 2 | 1 | no | — |
| 9 | #72225379 | — | 2 | 1 | no | — |
| 10 | #72225363 | C4 | 1 | 1 | yes | characteristic |
| 11 | #72225363 | C4 | 1 | 1 | yes | characteristic |
| 12 | #72225353 | C4 | 1 | 1 | yes | characteristic |
| 13 | #72225353 | C4 | 1 | 1 | yes | characteristic |
| 14 | #72225348 | C2 | 1 | 1 | yes | maximal, characteristic |
| 15 | #72225347 | — | 2 | 1 | no | — |
| 16 | #72225346 | — | 2 | 1 | no | — |
| 17 | #72225132 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 18 | #72225131 | — | 2 | 1 | no | — |
| 19 | #72225131 | — | 2 | 1 | no | — |
| 20 | #72225126 | C22 | 1 | 1 | yes | characteristic |
| 21 | #72216558 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 22 | #72216289 | C2 | 1 | 1 | yes | maximal, characteristic |
| 23 | #72216280 | — | 2 | 1 | no | — |
| 24 | #72216279 | — | 2 | 1 | no | — |
| 25 | #72216247 | C22 | 1 | 1 | yes | characteristic |
| 26 | #72216247 | C22 | 1 | 1 | yes | characteristic |
| 27 | #72216243 | C22 | 1 | 1 | yes | characteristic |
| 28 | C8×#1398 | C22 | 1 | 1 | yes | characteristic |
| 29 | #72216211 | C22 | 1 | 1 | yes | characteristic |
| 30 | #72216168 | C22 | 1 | 1 | yes | characteristic |
| 31 | #512751 | — | 2 | 1 | no | — |
| 32 | #512751 | — | 2 | 1 | no | — |
| 33 | #512548 | — | 4 | 1 | no | — |
| 34 | #493242 | D4 | 1 | 1 | yes | characteristic |
| 35 | #493217 | — | 2 | 1 | no | — |
| 36 | C2×#12047 | Q8 | 1 | 1 | yes | characteristic |
| 37 | C2×#12046 | C2×C4 | 1 | 1 | yes | characteristic |
| 38 | #151989 | — | 2 | 1 | no | — |
| 39 | #151989 | — | 2 | 1 | no | — |
| 40 | #151981 | — | 2 | 1 | no | — |
| 41 | #151981 | — | 2 | 1 | no | — |
| 42 | #151981 | — | 2 | 1 | no | — |
| 43 | #151904 | — | 4 | 1 | no | — |
| 44 | #151904 | — | 4 | 1 | no | — |
| 45 | #151895 | — | 4 | 1 | no | — |
| 46 | C4×#1398 | D4 | 1 | 1 | yes | characteristic |
| 47 | C4×#1398 | D4 | 1 | 1 | yes | characteristic |
| 48 | #151073 | — | 2 | 2 | no | — |
| 49 | #151073 | — | 2 | 2 | no | — |
| 50 | #151072 | — | 2 | 2 | no | — |
| 51 | #151072 | C8 | 1 | 4 | yes | complemented |
| 52 | C2×#7459 | C2×C4 | 1 | 1 | yes | characteristic |
| 53 | C2×#7459 | C2×C4 | 1 | 1 | yes | characteristic |
| 54 | C2×#7457 | — | 4 | 2 | no | — |
| 55 | C2×#7457 | — | 4 | 1 | no | — |
| 56 | C2×#7457 | — | 4 | 1 | no | — |
| 57 | C2×#7456 | — | 2 | 1 | no | — |
| 58 | C2×#7456 | — | 2 | 1 | no | — |
| 59 | #150074 | — | 4 | 1 | no | — |
| 60 | C2×#7389 | — | 4 | 1 | no | — |
| 61 | #150051 | — | 2 | 1 | no | — |
| 62 | #150051 | — | 2 | 1 | no | — |
| 63 | #149495 | D4 | 1 | 1 | yes | characteristic |
| 64 | #149495 | D4 | 1 | 1 | yes | characteristic |
| 65 | C8×M64 | C2×C4 | 1 | 1 | yes | characteristic |
| 66 | C8×M64 | C2×C4 | 1 | 1 | yes | characteristic |
| 67 | #135718 | — | 2 | 1 | no | — |
| 68 | #135718 | — | 2 | 1 | no | — |
| 69 | #135715 | — | 2 | 1 | no | — |
| 70 | #135715 | — | 2 | 1 | no | — |
| 71 | #135713 | — | 2 | 1 | no | — |
| 72 | #129143 | Q8 | 1 | 1 | yes | characteristic |
| 73 | #129142 | C2×C4 | 1 | 1 | yes | characteristic |
| 74 | #129101 | D4 | 1 | 1 | yes | characteristic |
| 75 | #128674 | — | 2 | 1 | no | — |
| 76 | #128673 | — | 2 | 1 | no | — |
| 77 | C4×#1335 | — | 2 | 1 | no | — |
| 78 | C8×#346 | C23 | 1 | 1 | yes | characteristic |
| 79 | #99295 | — | 2 | 1 | no | — |
| 80 | #94058 | — | 4 | 1 | no | — |
| 81 | #94057 | — | 4 | 1 | no | — |
| 82 | #94041 | — | 2 | 1 | no | — |
| 83 | #94041 | — | 2 | 1 | no | — |
| 84 | #94019 | — | 2 | 1 | no | — |
| 85 | #94018 | — | 2 | 1 | no | — |
| 86 | #94018 | — | 2 | 1 | no | — |
| 87 | #93878 | — | 2 | 4 | no | — |
| 88 | #33974 | — | 4 | 1 | no | — |
| 89 | #33974 | — | 4 | 1 | no | — |
| 90 | C2×#2179 | SD16 | 1 | 1 | yes | characteristic |
| 91 | C2×#2178 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 92 | #33451 | SD16 | 1 | 1 | yes | characteristic |
| 93 | C2×#2170 | — | 2 | 1 | no | — |
| 94 | C2×#2170 | — | 2 | 1 | no | — |
| 95 | #33326 | — | 4 | 1 | no | — |
| 96 | C4×#443 | — | 2 | 1 | no | — |
| 97 | #13648 | — | 4 | 2 | no | — |
| 98 | #13648 | — | 4 | 2 | no | — |
| 99 | #13647 | — | 2 | 4 | no | — |
| 100 | #13647 | — | 2 | 4 | no | — |
| 101 | C2×#1422 | — | 2 | 1 | no | — |
| 102 | C2×#1422 | — | 2 | 1 | no | — |
| 103 | C2×#1422 | — | 4 | 1 | no | — |
| 104 | C2×#1422 | — | 4 | 1 | no | — |
| 105 | #13558 | — | 4 | 1 | no | — |
| 106 | #13558 | — | 4 | 1 | no | — |
| 107 | #13551 | — | 4 | 1 | no | — |
| 108 | #13551 | — | 4 | 1 | no | — |
| 109 | #13551 | — | 8 | 2 | no | — |
| 110 | C2×#1398 | — | 2 | 1 | no | — |
| 111 | C2×#1398 | — | 2 | 1 | no | — |
| 112 | C2×#1398 | — | 4 | 1 | no | — |
| 113 | C2×#1398 | — | 4 | 1 | no | — |
| 114 | C2×#1398 | — | 4 | 1 | no | — |
| 115 | C2×#1398 | — | 8 | 2 | no | — |
| 116 | C2×#1398 | D8 | 1 | 1 | yes | characteristic |
| 117 | C2×#1398 | D8 | 1 | 1 | yes | characteristic |
| 118 | C2×#1398 | SD16 | 1 | 1 | yes | characteristic |
| 119 | C2×#1398 | SD16 | 1 | 1 | yes | characteristic |
| 120 | C4×M64 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 121 | C4×M64 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 122 | C4×M64 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 123 | C4×M64 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 124 | #12900 | — | 4 | 1 | no | — |
| 125 | #12676 | SD16 | 1 | 1 | yes | characteristic |
| 126 | #12671 | SD16 | 1 | 1 | yes | characteristic |
| 127 | #12670 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 128 | #12664 | — | 2 | 1 | no | — |
| 129 | #12664 | — | 2 | 1 | no | — |
| 130 | C4×#364 | — | 2 | 1 | no | — |
| 131 | #12642 | — | 2 | 1 | no | — |
| 132 | #12641 | — | 2 | 1 | no | — |
| 133 | #12640 | — | 2 | 1 | no | — |
| 134 | #12615 | — | 4 | 1 | no | — |
| 135 | #12615 | — | 4 | 1 | no | — |
| 136 | #12604 | — | 4 | 1 | no | — |
| 137 | C4×#346 | C2×D4 | 1 | 1 | yes | characteristic |
| 138 | C4×#346 | C2×D4 | 1 | 1 | yes | characteristic |
| 139 | #12047 | — | 2 | 2 | no | — |
| 140 | #12047 | — | 2 | 2 | no | — |
| 141 | #12046 | — | 2 | 1 | no | — |
| 142 | #12046 | — | 2 | 1 | no | — |
| 143 | #12046 | C2×C8 | 1 | 2 | yes | — |
| 144 | #12046 | M16 | 1 | 2 | yes | — |
| 145 | C2×#1373 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 146 | C2×#1373 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 147 | C2×#1369 | — | 4 | 1 | no | — |
| 148 | C2×#1369 | — | 4 | 1 | no | — |
| 149 | C2×#1369 | — | 4 | 1 | no | — |
| 150 | C2×#1369 | — | 4 | 1 | no | — |
| 151 | C2×#1368 | — | 4 | 1 | no | — |
| 152 | C2×#1368 | — | 4 | 1 | no | — |
| 153 | C2×#1368 | — | 4 | 1 | no | — |
| 154 | C2×#1368 | — | 4 | 1 | no | — |
| 155 | #11996 | — | 8 | 1 | no | — |
| 156 | C2×#1335 | — | 2 | 1 | no | — |
| 157 | C2×#1335 | — | 2 | 1 | no | — |
| 158 | C2×#1311 | C2×D4 | 1 | 1 | yes | characteristic |
| 159 | C2×#1311 | C2×Q8 | 1 | 1 | yes | characteristic |
| 160 | C2×C8×C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 161 | C2×C8×C16 | #41 | 1 | 1 | yes | characteristic |
| 162 | #8805 | — | 4 | 1 | no | — |
| 163 | #8805 | — | 8 | 1 | no | — |
| 164 | C4×C82 | #41 | 1 | 1 | yes | characteristic |
| 165 | #7469 | — | 4 | 1 | no | — |
| 166 | #7469 | — | 4 | 1 | no | — |
| 167 | #7468 | — | 4 | 1 | no | — |
| 168 | #7468 | — | 4 | 1 | no | — |
| 169 | #7468 | — | 4 | 1 | no | — |
| 170 | #7459 | — | 2 | 1 | no | — |
| 171 | #7459 | — | 2 | 1 | no | — |
| 172 | #7459 | C2×C8 | 1 | 2 | yes | — |
| 173 | #7459 | M16 | 1 | 2 | yes | — |
| 174 | #7457 | — | 8 | 4 | no | — |
| 175 | #7457 | — | 8 | 2 | no | — |
| 176 | #7457 | — | 8 | 2 | no | — |
| 177 | #7456 | — | 2 | 2 | no | — |
| 178 | #7456 | — | 2 | 2 | no | — |
| 179 | #7456 | — | 4 | 1 | no | — |
| 180 | #7456 | — | 4 | 1 | no | — |
| 181 | #7391 | — | 8 | 1 | no | — |
| 182 | #7390 | — | 8 | 1 | no | — |
| 183 | #7389 | — | 8 | 2 | no | — |
| 184 | #7381 | — | 2 | 4 | no | — |
| 185 | #7381 | — | 2 | 4 | no | — |
| 186 | #7330 | — | 2 | 2 | no | — |
| 187 | #7330 | — | 4 | 1 | no | — |
| 188 | #7329 | — | 2 | 1 | no | — |
| 189 | #7329 | M16 | 1 | 2 | yes | — |
| 190 | C8×C32 | — | 2 | 1 | no | — |
| 191 | C8×C32 | C2×C8 | 1 | 2 | yes | — |
| 192 | #7179 | — | 2 | 1 | no | — |
| 193 | #7179 | — | 2 | 1 | no | — |
| 194 | #7160 | — | 2 | 1 | no | — |
| 195 | C2×#508 | #106 | 1 | 1 | yes | characteristic |
| 196 | C2×#504 | — | 4 | 1 | no | — |
| 197 | C2×#504 | — | 4 | 1 | no | — |
| 198 | C2×#443 | — | 2 | 1 | no | — |
| 199 | C2×#443 | — | 2 | 1 | no | — |
| 200 | C4×#135 | — | 2 | 1 | no | — |
| 201 | C4×#131 | — | 4 | 1 | no | — |
| 202 | #2258 | — | 4 | 4 | no | — |
| 203 | #2258 | — | 4 | 4 | no | — |
| 204 | #2258 | — | 8 | 2 | no | — |
| 205 | #2258 | — | 8 | 2 | no | — |
| 206 | C2×M64 | — | 2 | 1 | no | — |
| 207 | C2×M64 | — | 2 | 1 | no | — |
| 208 | C2×M64 | — | 4 | 1 | no | — |
| 209 | C2×M64 | — | 4 | 1 | no | — |
| 210 | C2×M64 | — | 8 | 2 | no | — |
| 211 | C2×M64 | — | 8 | 2 | no | — |
| 212 | C2×M64 | — | 8 | 1 | no | — |
| 213 | C2×M64 | — | 8 | 1 | no | — |
| 214 | C2×M64 | #102 | 1 | 1 | yes | characteristic |
| 215 | C2×M64 | #102 | 1 | 1 | yes | characteristic |
| 216 | C2×M64 | #102 | 1 | 1 | yes | characteristic |
| 217 | C2×M64 | #102 | 1 | 1 | yes | characteristic |
| 218 | #2179 | — | 2 | 2 | no | — |
| 219 | #2179 | — | 4 | 1 | no | — |
| 220 | #2178 | — | 2 | 1 | no | — |
| 221 | #2178 | — | 2 | 1 | no | — |
| 222 | #2178 | C4⋊C8 | 1 | 2 | yes | — |
| 223 | #2178 | #108 | 1 | 2 | yes | — |
| 224 | #2177 | — | 2 | 1 | no | — |
| 225 | #2176 | — | 2 | 1 | no | — |
| 226 | #2175 | — | 4 | 1 | no | — |
| 227 | #2170 | — | 2 | 4 | no | — |
| 228 | #2170 | — | 2 | 2 | no | — |
| 229 | #2170 | — | 2 | 2 | no | — |
| 230 | #2170 | — | 4 | 2 | no | — |
| 231 | #2170 | — | 4 | 1 | no | — |
| 232 | #2170 | — | 4 | 1 | no | — |
| 233 | C2×#368 | #106 | 1 | 1 | yes | characteristic |
| 234 | C2×#368 | #106 | 1 | 1 | yes | characteristic |
| 235 | #2158 | #106 | 1 | 1 | yes | characteristic |
| 236 | C2×#364 | — | 2 | 1 | no | — |
| 237 | C2×#364 | — | 2 | 1 | no | — |
| 238 | C2×#364 | — | 8 | 1 | no | — |
| 239 | C2×#364 | — | 8 | 1 | no | — |
| 240 | #2150 | — | 8 | 1 | no | — |
| 241 | C2×#359 | — | 2 | 1 | no | — |
| 242 | C2×#359 | — | 2 | 1 | no | — |
| 243 | #2138 | — | 2 | 1 | no | — |
| 244 | C2×#350 | — | 4 | 1 | no | — |
| 245 | C2×#350 | — | 4 | 1 | no | — |
| 246 | #2108 | — | 4 | 1 | no | — |
| 247 | #2108 | — | 4 | 1 | no | — |
| 248 | #2108 | — | 8 | 1 | no | — |
| 249 | #2108 | — | 8 | 1 | no | — |
| 250 | C4×M32 | — | 4 | 1 | no | — |
| 251 | C4×M32 | — | 8 | 1 | no | — |
| 252 | C2×#346 | — | 8 | 1 | no | — |
| 253 | C2×#346 | C2×D8 | 1 | 1 | yes | characteristic |
| 254 | C2×#346 | C2×SD16 | 1 | 1 | yes | characteristic |
| 255 | C2×#346 | C2×SD16 | 1 | 1 | yes | characteristic |
| 256 | C2×#346 | C2×SD16 | 1 | 1 | yes | characteristic |
| 257 | C2×#346 | #135 | 1 | 1 | yes | characteristic |
| 258 | C2×#346 | #135 | 1 | 1 | yes | characteristic |
| 259 | C2×#346 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 260 | C2×#346 | #137 | 1 | 1 | yes | characteristic |
| 261 | C2×C4×C16 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 262 | C2×C4×C16 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 263 | C2×C4×C16 | #121 | 1 | 1 | yes | characteristic |
| 264 | C2×C4×C16 | C22⋊Q8 | 1 | 1 | yes | characteristic |
| 265 | #1842 | — | 8 | 1 | no | — |
| 266 | C4×#108 | — | 2 | 1 | no | — |
| 267 | #1772 | — | 2 | 1 | no | — |
| 268 | #1772 | — | 2 | 1 | no | — |
| 269 | #1764 | — | 4 | 1 | no | — |
| 270 | #1764 | — | 4 | 1 | no | — |
| 271 | C4×#104 | — | 4 | 1 | no | — |
| 272 | C42×C8 | — | 2 | 1 | no | — |
| 273 | C42×C8 | #121 | 1 | 1 | yes | characteristic |
| 274 | C2×#334 | — | 8 | 1 | no | — |
| 275 | C2×#334 | — | 8 | 1 | no | — |
| 276 | C2×#334 | — | 16 | 2 | no | — |
| 277 | C2×C82 | — | 2 | 1 | no | — |
| 278 | C2×C82 | #117 | 1 | 1 | yes | characteristic |
| 279 | C2×C82 | C22⋊Q8 | 1 | 1 | yes | characteristic |
| 280 | #1422 | — | 2 | 2 | no | — |
| 281 | #1422 | — | 2 | 2 | no | — |
| 282 | #1422 | — | 4 | 2 | no | — |
| 283 | #1422 | — | 4 | 2 | no | — |
| 284 | #1422 | — | 4 | 1 | no | — |
| 285 | #1422 | — | 4 | 1 | no | — |
| 286 | #1422 | — | 8 | 1 | no | — |
| 287 | #1422 | — | 8 | 1 | no | — |
| 288 | #1401 | — | 4 | 4 | no | — |
| 289 | #1401 | — | 4 | 4 | no | — |
| 290 | #1398 | — | 2 | 4 | no | — |
| 291 | #1398 | — | 2 | 2 | no | — |
| 292 | #1398 | — | 2 | 2 | no | — |
| 293 | #1398 | — | 2 | 2 | no | — |
| 294 | #1398 | — | 4 | 1 | no | — |
| 295 | #1398 | — | 4 | 2 | no | — |
| 296 | #1398 | — | 8 | 1 | no | — |
| 297 | #1398 | — | 8 | 1 | no | — |
| 298 | #1398 | — | 8 | 1 | no | — |
| 299 | #1398 | — | 8 | 1 | no | — |
| 300 | #1398 | — | 8 | 1 | no | — |
| 301 | #1398 | — | 8 | 1 | no | — |
| 302 | #1398 | — | 8 | 2 | no | — |
| 303 | #1398 | — | 8 | 2 | no | — |
| 304 | #1397 | — | 2 | 1 | no | — |
| 305 | #1397 | — | 2 | 1 | no | — |
| 306 | #1397 | — | 2 | 1 | no | — |
| 307 | #1397 | #104 | 1 | 2 | yes | — |
| 308 | C4×C32 | — | 2 | 1 | no | — |
| 309 | C4×C32 | — | 2 | 1 | no | — |
| 310 | C4×C32 | C22⋊C8 | 1 | 2 | yes | — |
| 311 | C4×C32 | C22⋊C8 | 1 | 2 | yes | — |
| 312 | #1382 | — | 2 | 1 | no | — |
| 313 | #1382 | — | 2 | 1 | no | — |
| 314 | #1381 | — | 2 | 1 | no | — |
| 315 | #1379 | — | 4 | 1 | no | — |
| 316 | #1379 | — | 4 | 1 | no | — |
| 317 | #1376 | — | 4 | 1 | no | — |
| 318 | #1373 | — | 2 | 1 | no | — |
| 319 | #1373 | — | 2 | 1 | no | — |
| 320 | #1373 | C4⋊C8 | 1 | 2 | yes | — |
| 321 | #1373 | #108 | 1 | 2 | yes | — |
| 322 | #1369 | — | 8 | 1 | no | — |
| 323 | #1369 | — | 8 | 1 | no | — |
| 324 | #1369 | — | 8 | 2 | no | — |
| 325 | #1369 | — | 8 | 1 | no | — |
| 326 | #1369 | — | 8 | 1 | no | — |
| 327 | #1369 | — | 16 | 1 | no | — |
| 328 | #1368 | — | 8 | 1 | no | — |
| 329 | #1368 | — | 8 | 1 | no | — |
| 330 | #1368 | — | 8 | 2 | no | — |
| 331 | #1368 | — | 8 | 1 | no | — |
| 332 | #1368 | — | 8 | 1 | no | — |
| 333 | #1368 | — | 16 | 1 | no | — |
| 334 | #1367 | — | 16 | 2 | no | — |
| 335 | #1335 | — | 2 | 4 | no | — |
| 336 | #1335 | — | 2 | 2 | no | — |
| 337 | #1335 | — | 2 | 2 | no | — |
| 338 | #1311 | — | 2 | 1 | no | — |
| 339 | #1311 | — | 2 | 1 | no | — |
| 340 | #1311 | — | 2 | 1 | no | — |
| 341 | #1311 | — | 2 | 1 | no | — |
| 342 | C8×C16 | — | 4 | 1 | no | — |
| 343 | C8×C16 | C22×C8 | 1 | 1 | yes | characteristic |
| 344 | C8×C16 | C2×M16 | 1 | 1 | yes | characteristic |
| 345 | C8×C16 | C2×M16 | 1 | 1 | yes | characteristic |
| 346 | C8×C16 | C2×M16 | 1 | 1 | yes | characteristic |
| 347 | C2×#135 | — | 2 | 1 | no | — |
| 348 | C2×#131 | — | 4 | 1 | no | — |
| 349 | C2×#131 | — | 4 | 1 | no | — |
| 350 | C4×#41 | — | 4 | 1 | no | — |
| 351 | #508 | — | 2 | 1 | no | — |
| 352 | #508 | — | 2 | 1 | no | — |
| 353 | #508 | #334 | 1 | 2 | yes | — |
| 354 | #508 | #365 | 1 | 2 | yes | — |
| 355 | C2×Q32 | #365 | 1 | 1 | yes | characteristic |
| 356 | C2×SD32 | — | 2 | 1 | no | — |
| 357 | C2×D16 | #365 | 1 | 1 | yes | characteristic |
| 358 | #504 | — | 4 | 4 | no | — |
| 359 | #504 | — | 4 | 2 | no | — |
| 360 | #504 | — | 4 | 2 | no | — |
| 361 | #504 | — | 8 | 1 | no | — |
| 362 | #504 | — | 8 | 1 | no | — |
| 363 | #504 | — | 8 | 2 | no | — |
| 364 | C2×M32 | — | 4 | 1 | no | — |
| 365 | C2×M32 | — | 4 | 1 | no | — |
| 366 | C2×M32 | — | 8 | 1 | no | — |
| 367 | C2×M32 | — | 8 | 1 | no | — |
| 368 | C2×M32 | — | 16 | 1 | no | — |
| 369 | C22×C16 | — | 8 | 1 | no | — |
| 370 | C22×C16 | — | 8 | 1 | no | — |
| 371 | C22×C16 | C2×#102 | 1 | 1 | yes | characteristic |
| 372 | C22×C16 | #417 | 1 | 1 | yes | characteristic |
| 373 | C22×C16 | C2×#106 | 1 | 1 | yes | characteristic |
| 374 | C22×C16 | #427 | 1 | 1 | yes | characteristic |
| 375 | C22×C16 | #465 | 1 | 1 | yes | characteristic |
| 376 | C22×C16 | #465 | 1 | 1 | yes | characteristic |
| 377 | C22×C16 | #474 | 1 | 1 | yes | characteristic |
| 378 | C22×C16 | #476 | 1 | 1 | yes | characteristic |
| 379 | #443 | — | 2 | 2 | no | — |
| 380 | #443 | — | 2 | 2 | no | — |
| 381 | #443 | — | 4 | 2 | no | — |
| 382 | #443 | — | 4 | 1 | no | — |
| 383 | #443 | — | 4 | 1 | no | — |
| 384 | #443 | — | 8 | 1 | no | — |
| 385 | C4×Q16 | — | 4 | 1 | no | — |
| 386 | C4×SD16 | — | 8 | 1 | no | — |
| 387 | C4×D8 | — | 4 | 1 | no | — |
| 388 | C2×#108 | — | 2 | 1 | no | — |
| 389 | C2×#108 | — | 2 | 1 | no | — |
| 390 | #427 | — | 2 | 1 | no | — |
| 391 | C2×C4⋊C8 | — | 16 | 2 | no | — |
| 392 | C2×C4⋊C8 | — | 16 | 1 | no | — |
| 393 | C2×#104 | — | 4 | 1 | no | — |
| 394 | C2×#104 | — | 4 | 1 | no | — |
| 395 | #416 | — | 4 | 1 | no | — |
| 396 | #405 | — | 4 | 1 | no | — |
| 397 | #405 | — | 4 | 1 | no | — |
| 398 | #405 | — | 8 | 1 | no | — |
| 399 | #405 | — | 8 | 1 | no | — |
| 400 | C4×M16 | — | 4 | 1 | no | — |
| 401 | C4×M16 | — | 8 | 1 | no | — |
| 402 | C2×C4×C8 | — | 2 | 1 | no | — |
| 403 | C2×C4×C8 | — | 2 | 1 | no | — |
| 404 | C2×C4×C8 | — | 4 | 2 | no | — |
| 405 | C2×C4×C8 | — | 8 | 1 | no | — |
| 406 | C2×C4×C8 | #380 | 1 | 1 | yes | characteristic |
| 407 | C2×C4×C8 | #459 | 1 | 1 | yes | characteristic |
| 408 | C2×C4×C8 | #461 | 1 | 1 | yes | characteristic |
| 409 | C2×C4×C8 | #465 | 1 | 1 | yes | characteristic |
| 410 | C2×C4×C8 | #465 | 1 | 1 | yes | characteristic |
| 411 | C2×C4×C8 | #471 | 1 | 1 | yes | characteristic |
| 412 | C43 | #471 | 1 | 1 | yes | characteristic |
| 413 | M64 | — | 2 | 2 | no | — |
| 414 | M64 | — | 2 | 2 | no | — |
| 415 | M64 | — | 2 | 1 | no | — |
| 416 | M64 | — | 2 | 1 | no | — |
| 417 | M64 | — | 2 | 1 | no | — |
| 418 | M64 | — | 2 | 2 | no | — |
| 419 | M64 | — | 2 | 1 | no | — |
| 420 | M64 | — | 2 | 1 | no | — |
| 421 | M64 | — | 4 | 1 | no | — |
| 422 | M64 | — | 4 | 2 | no | — |
| 423 | M64 | — | 4 | 2 | no | — |
| 424 | M64 | — | 8 | 4 | no | — |
| 425 | M64 | — | 8 | 1 | no | — |
| 426 | M64 | — | 8 | 1 | no | — |
| 427 | M64 | — | 8 | 4 | no | — |
| 428 | M64 | — | 8 | 2 | no | — |
| 429 | M64 | — | 8 | 2 | no | — |
| 430 | M64 | — | 16 | 1 | no | — |
| 431 | M64 | — | 16 | 1 | no | — |
| 432 | M64 | #360 | 1 | 2 | yes | — |
| 433 | M64 | #360 | 1 | 2 | yes | — |
| 434 | M64 | #361 | 1 | 2 | yes | — |
| 435 | C2×C32 | — | 2 | 2 | no | — |
| 436 | C2×C32 | — | 2 | 1 | no | — |
| 437 | C2×C32 | — | 2 | 1 | no | — |
| 438 | C2×C32 | — | 4 | 1 | no | — |
| 439 | C2×C32 | — | 8 | 4 | no | — |
| 440 | C2×C32 | — | 8 | 1 | no | — |
| 441 | C2×C32 | — | 8 | 1 | no | — |
| 442 | C2×C32 | — | 8 | 4 | no | — |
| 443 | C2×C32 | — | 16 | 1 | no | — |
| 444 | C2×C32 | — | 16 | 1 | no | — |
| 445 | C2×C32 | D4⋊C8 | 1 | 2 | yes | — |
| 446 | C2×C32 | D4⋊C8 | 1 | 2 | yes | — |
| 447 | #368 | — | 2 | 1 | no | — |
| 448 | #368 | — | 2 | 1 | no | — |
| 449 | #368 | — | 2 | 1 | no | — |
| 450 | #368 | #334 | 1 | 2 | yes | — |
| 451 | #367 | — | 2 | 1 | no | — |
| 452 | #366 | — | 2 | 1 | no | — |
| 453 | #364 | — | 2 | 2 | no | — |
| 454 | #364 | — | 2 | 2 | no | — |
| 455 | #364 | — | 4 | 1 | no | — |
| 456 | #364 | — | 4 | 1 | no | — |
| 457 | #364 | — | 16 | 1 | no | — |
| 458 | #364 | — | 16 | 1 | no | — |
| 459 | #364 | — | 16 | 1 | no | — |
| 460 | #364 | — | 16 | 1 | no | — |
| 461 | C4⋊C16 | — | 16 | 2 | no | — |
| 462 | #359 | — | 2 | 2 | no | — |
| 463 | #359 | — | 2 | 2 | no | — |
| 464 | #359 | — | 4 | 2 | no | — |
| 465 | #358 | — | 4 | 1 | no | — |
| 466 | #357 | — | 4 | 1 | no | — |
| 467 | #350 | — | 4 | 4 | no | — |
| 468 | #350 | — | 4 | 2 | no | — |
| 469 | #350 | — | 4 | 2 | no | — |
| 470 | #346 | — | 2 | 1 | no | — |
| 471 | #346 | — | 2 | 1 | no | — |
| 472 | #346 | — | 2 | 1 | no | — |
| 473 | #346 | — | 2 | 1 | no | — |
| 474 | #346 | — | 2 | 1 | no | — |
| 475 | #346 | — | 2 | 1 | no | — |
| 476 | #346 | — | 2 | 1 | no | — |
| 477 | #346 | — | 2 | 1 | no | — |
| 478 | #346 | — | 2 | 2 | no | — |
| 479 | #346 | — | 4 | 1 | no | — |
| 480 | #346 | — | 4 | 1 | no | — |
| 481 | #346 | — | 4 | 1 | no | — |
| 482 | #346 | — | 8 | 1 | no | — |
| 483 | #346 | — | 8 | 1 | no | — |
| 484 | #346 | — | 8 | 1 | no | — |
| 485 | C4×C16 | — | 2 | 1 | no | — |
| 486 | C4×C16 | — | 2 | 1 | no | — |
| 487 | C4×C16 | — | 2 | 1 | no | — |
| 488 | C4×C16 | — | 2 | 1 | no | — |
| 489 | C4×C16 | — | 8 | 1 | no | — |
| 490 | C4×C16 | — | 8 | 1 | no | — |
| 491 | C4×C16 | — | 8 | 1 | no | — |
| 492 | C4×C16 | C2×C22⋊C8 | 1 | 1 | yes | characteristic |
| 493 | C4×C16 | #407 | 1 | 1 | yes | characteristic |
| 494 | C4×C16 | C2×#104 | 1 | 1 | yes | characteristic |
| 495 | C4×C16 | #421 | 1 | 1 | yes | characteristic |
| 496 | C4×C16 | C2×C4⋊C8 | 1 | 1 | yes | characteristic |
| 497 | C4×C16 | #423 | 1 | 1 | yes | characteristic |
| 498 | C4×C16 | C2×#108 | 1 | 1 | yes | characteristic |
| 499 | C4×C16 | C2×#108 | 1 | 1 | yes | characteristic |
| 500 | #341 | — | 4 | 1 | no | — |
| 501 | #339 | — | 4 | 1 | no | — |
| 502 | #339 | — | 4 | 1 | no | — |
| 503 | #334 | — | 16 | 1 | no | — |
| 504 | #334 | — | 16 | 1 | no | — |
| 505 | #334 | — | 16 | 1 | no | — |
| 506 | #334 | — | 16 | 1 | no | — |
| 507 | #334 | — | 32 | 4 | no | — |
| 508 | C82 | — | 2 | 1 | no | — |
| 509 | C82 | — | 2 | 1 | no | — |
| 510 | C82 | — | 2 | 1 | no | — |
| 511 | C82 | — | 4 | 2 | no | — |
| 512 | C82 | #431 | 1 | 1 | yes | characteristic |
| 513 | C82 | #432 | 1 | 1 | yes | characteristic |
| 514 | C2×#41 | — | 4 | 1 | no | — |
| 515 | #135 | — | 2 | 2 | no | — |
| 516 | #135 | — | 2 | 2 | no | — |
| 517 | #135 | — | 4 | 1 | no | — |
| 518 | #135 | — | 4 | 1 | no | — |
| 519 | C2×Q16 | — | 2 | 1 | no | — |
| 520 | C2×SD16 | — | 4 | 1 | no | — |
| 521 | C2×D8 | — | 2 | 1 | no | — |
| 522 | #131 | — | 4 | 2 | no | — |
| 523 | #131 | — | 4 | 2 | no | — |
| 524 | #131 | — | 8 | 2 | no | — |
| 525 | #131 | — | 8 | 1 | no | — |
| 526 | #131 | — | 8 | 1 | no | — |
| 527 | #131 | — | 16 | 1 | no | — |
| 528 | C2×M16 | — | 4 | 1 | no | — |
| 529 | C2×M16 | — | 4 | 1 | no | — |
| 530 | C2×M16 | — | 8 | 1 | no | — |
| 531 | C2×M16 | — | 8 | 1 | no | — |
| 532 | C22×C8 | — | 2 | 2 | no | — |
| 533 | C22×C8 | — | 4 | 1 | no | — |
| 534 | C22×C8 | — | 8 | 1 | no | — |
| 535 | C22×C8 | — | 8 | 1 | no | — |
| 536 | C22×C8 | — | 32 | 1 | no | — |
| 537 | C22×C8 | #1665 | 1 | 1 | yes | characteristic |
| 538 | C22×C8 | #1671 | 1 | 1 | yes | characteristic |
| 539 | C22×C8 | #1802 | 1 | 1 | yes | characteristic |
| 540 | C22×C8 | #1807 | 1 | 1 | yes | characteristic |
| 541 | C4×Q8 | — | 8 | 1 | no | — |
| 542 | C4×D4 | — | 8 | 1 | no | — |
| 543 | C4×D4 | — | 16 | 1 | no | — |
| 544 | #117 | — | 4 | 1 | no | — |
| 545 | #117 | — | 8 | 1 | no | — |
| 546 | C2×C42 | — | 4 | 1 | no | — |
| 547 | C2×C42 | — | 8 | 1 | no | — |
| 548 | C2×C42 | #1665 | 1 | 1 | yes | characteristic |
| 549 | C2×C42 | #1671 | 1 | 1 | yes | characteristic |
| 550 | C2×C42 | #1815 | 1 | 1 | yes | characteristic |
| 551 | Q32 | — | 2 | 1 | no | — |
| 552 | Q32 | #1368 | 1 | 2 | yes | — |
| 553 | SD32 | — | 2 | 2 | no | — |
| 554 | SD32 | — | 2 | 2 | no | — |
| 555 | D16 | — | 2 | 1 | no | — |
| 556 | D16 | #1368 | 1 | 2 | yes | — |
| 557 | M32 | — | 4 | 2 | no | — |
| 558 | M32 | — | 4 | 2 | no | — |
| 559 | M32 | — | 8 | 4 | no | — |
| 560 | M32 | — | 8 | 1 | no | — |
| 561 | M32 | — | 8 | 1 | no | — |
| 562 | M32 | — | 8 | 2 | no | — |
| 563 | M32 | — | 8 | 2 | no | — |
| 564 | M32 | — | 32 | 1 | no | — |
| 565 | M32 | — | 32 | 1 | no | — |
| 566 | C2×C16 | — | 2 | 1 | no | — |
| 567 | C2×C16 | — | 2 | 1 | no | — |
| 568 | C2×C16 | — | 2 | 1 | no | — |
| 569 | C2×C16 | — | 2 | 1 | no | — |
| 570 | C2×C16 | — | 2 | 1 | no | — |
| 571 | C2×C16 | — | 2 | 1 | no | — |
| 572 | C2×C16 | — | 2 | 1 | no | — |
| 573 | C2×C16 | — | 2 | 1 | no | — |
| 574 | C2×C16 | — | 2 | 1 | no | — |
| 575 | C2×C16 | — | 2 | 1 | no | — |
| 576 | C2×C16 | — | 2 | 1 | no | — |
| 577 | C2×C16 | — | 2 | 1 | no | — |
| 578 | C2×C16 | — | 2 | 1 | no | — |
| 579 | C2×C16 | — | 2 | 1 | no | — |
| 580 | C2×C16 | — | 2 | 1 | no | — |
| 581 | C2×C16 | — | 8 | 4 | no | — |
| 582 | C2×C16 | — | 8 | 1 | no | — |
| 583 | C2×C16 | — | 8 | 1 | no | — |
| 584 | C2×C16 | — | 8 | 2 | no | — |
| 585 | C2×C16 | — | 8 | 2 | no | — |
| 586 | C2×C16 | — | 32 | 1 | no | — |
| 587 | C2×C16 | C2×D4⋊C8 | 1 | 1 | yes | characteristic |
| 588 | C2×C16 | #1477 | 1 | 1 | yes | characteristic |
| 589 | C2×C16 | #1486 | 1 | 1 | yes | characteristic |
| 590 | C2×C16 | #1489 | 1 | 1 | yes | characteristic |
| 591 | C2×C16 | C2×#334 | 1 | 1 | yes | characteristic |
| 592 | C2×C16 | #1564 | 1 | 1 | yes | characteristic |
| 593 | C2×C16 | #1566 | 1 | 1 | yes | characteristic |
| 594 | C2×C16 | #1568 | 1 | 1 | yes | characteristic |
| 595 | C2×C16 | C2×#360 | 1 | 1 | yes | characteristic |
| 596 | C2×C16 | C2×#360 | 1 | 1 | yes | characteristic |
| 597 | C2×C16 | C2×#361 | 1 | 1 | yes | characteristic |
| 598 | C2×C16 | #2148 | 1 | 1 | yes | characteristic |
| 599 | C2×C16 | C2×#365 | 1 | 1 | yes | characteristic |
| 600 | C2×C16 | C2×#365 | 1 | 1 | yes | characteristic |
| 601 | C2×C16 | #2155 | 1 | 1 | yes | characteristic |
| 602 | C2×C16 | #2155 | 1 | 1 | yes | characteristic |
| 603 | C2×C16 | #2230 | 1 | 2 | yes | — |
| 604 | #108 | — | 2 | 2 | no | — |
| 605 | #108 | — | 4 | 1 | no | — |
| 606 | #108 | — | 4 | 1 | no | — |
| 607 | #108 | — | 4 | 1 | no | — |
| 608 | #107 | — | 4 | 1 | no | — |
| 609 | #106 | — | 4 | 1 | no | — |
| 610 | C4⋊C8 | — | 32 | 1 | no | — |
| 611 | C4⋊C8 | — | 32 | 1 | no | — |
| 612 | C4⋊C8 | — | 32 | 4 | no | — |
| 613 | #104 | — | 4 | 2 | no | — |
| 614 | #104 | — | 4 | 2 | no | — |
| 615 | #104 | — | 8 | 2 | no | — |
| 616 | #103 | — | 8 | 1 | no | — |
| 617 | #102 | — | 8 | 1 | no | — |
| 618 | #97 | — | 8 | 1 | no | — |
| 619 | #97 | — | 8 | 1 | no | — |
| 620 | #97 | — | 8 | 1 | no | — |
| 621 | C4×C8 | — | 2 | 2 | no | — |
| 622 | C4×C8 | — | 2 | 1 | no | — |
| 623 | C4×C8 | — | 2 | 1 | no | — |
| 624 | C4×C8 | — | 2 | 1 | no | — |
| 625 | C4×C8 | — | 2 | 1 | no | — |
| 626 | C4×C8 | — | 2 | 1 | no | — |
| 627 | C4×C8 | — | 2 | 1 | no | — |
| 628 | C4×C8 | — | 2 | 1 | no | — |
| 629 | C4×C8 | — | 2 | 1 | no | — |
| 630 | C4×C8 | — | 2 | 1 | no | — |
| 631 | C4×C8 | — | 2 | 1 | no | — |
| 632 | C4×C8 | — | 4 | 1 | no | — |
| 633 | C4×C8 | — | 4 | 1 | no | — |
| 634 | C4×C8 | — | 4 | 1 | no | — |
| 635 | C4×C8 | — | 8 | 1 | no | — |
| 636 | C4×C8 | — | 8 | 1 | no | — |
| 637 | C4×C8 | — | 8 | 4 | no | — |
| 638 | C4×C8 | — | 8 | 1 | no | — |
| 639 | C4×C8 | #1797 | 1 | 1 | yes | characteristic |
| 640 | C4×C8 | #1806 | 1 | 1 | yes | characteristic |
| 641 | C4×C8 | #1810 | 1 | 1 | yes | characteristic |
| 642 | C4×C8 | #1814 | 1 | 1 | yes | characteristic |
| 643 | C32 | — | 2 | 4 | no | — |
| 644 | C32 | — | 2 | 2 | no | — |
| 645 | C32 | — | 2 | 2 | no | — |
| 646 | C32 | — | 4 | 2 | no | — |
| 647 | C32 | — | 4 | 1 | no | — |
| 648 | C32 | — | 8 | 2 | no | — |
| 649 | C32 | — | 8 | 2 | no | — |
| 650 | C32 | — | 16 | 2 | no | — |
| 651 | C32 | — | 16 | 2 | no | — |
| 652 | C32 | #1333 | 1 | 4 | yes | — |
| 653 | #41 | — | 4 | 2 | no | — |
| 654 | #41 | — | 4 | 2 | no | — |
| 655 | #41 | — | 8 | 1 | no | — |
| 656 | #41 | — | 8 | 1 | no | — |
| 657 | C2×Q8 | — | 4 | 1 | no | — |
| 658 | C2×D4 | — | 4 | 1 | no | — |
| 659 | C2×D4 | — | 8 | 1 | no | — |
| 660 | C22×C4 | — | 2 | 1 | no | — |
| 661 | C22×C4 | — | 2 | 1 | no | — |
| 662 | C22×C4 | — | 2 | 1 | no | — |
| 663 | C22×C4 | — | 8 | 1 | no | — |
| 664 | C22×C4 | — | 16 | 1 | no | — |
| 665 | C22×C4 | #8642 | 1 | 1 | yes | characteristic |
| 666 | Q16 | — | 2 | 2 | no | — |
| 667 | Q16 | — | 4 | 1 | no | — |
| 668 | SD16 | — | 4 | 2 | no | — |
| 669 | SD16 | — | 4 | 2 | no | — |
| 670 | D8 | — | 2 | 2 | no | — |
| 671 | D8 | — | 4 | 1 | no | — |
| 672 | M16 | — | 4 | 2 | no | — |
| 673 | M16 | — | 8 | 1 | no | — |
| 674 | M16 | — | 8 | 2 | no | — |
| 675 | M16 | — | 8 | 2 | no | — |
| 676 | M16 | — | 8 | 1 | no | — |
| 677 | M16 | — | 8 | 1 | no | — |
| 678 | M16 | — | 16 | 2 | no | — |
| 679 | C2×C8 | — | 2 | 2 | no | — |
| 680 | C2×C8 | — | 2 | 2 | no | — |
| 681 | C2×C8 | — | 2 | 1 | no | — |
| 682 | C2×C8 | — | 2 | 1 | no | — |
| 683 | C2×C8 | — | 2 | 1 | no | — |
| 684 | C2×C8 | — | 2 | 1 | no | — |
| 685 | C2×C8 | — | 2 | 1 | no | — |
| 686 | C2×C8 | — | 2 | 1 | no | — |
| 687 | C2×C8 | — | 4 | 4 | no | — |
| 688 | C2×C8 | — | 8 | 1 | no | — |
| 689 | C2×C8 | — | 8 | 2 | no | — |
| 690 | C2×C8 | — | 8 | 2 | no | — |
| 691 | C2×C8 | — | 8 | 1 | no | — |
| 692 | C2×C8 | — | 8 | 2 | no | — |
| 693 | C2×C8 | — | 8 | 1 | no | — |
| 694 | C2×C8 | — | 16 | 2 | no | — |
| 695 | C2×C8 | — | 64 | 1 | no | — |
| 696 | C2×C8 | — | 64 | 2 | no | — |
| 697 | C2×C8 | #8563 | 1 | 1 | yes | characteristic |
| 698 | C2×C8 | #8595 | 1 | 1 | yes | characteristic |
| 699 | C2×C8 | #8658 | 1 | 1 | yes | characteristic |
| 700 | C2×C8 | #8666 | 1 | 1 | yes | characteristic |
| 701 | C2×C8 | #12816 | 1 | 1 | yes | characteristic |
| 702 | C2×C8 | #12818 | 1 | 1 | yes | characteristic |
| 703 | C2×C8 | #12823 | 1 | 1 | yes | characteristic |
| 704 | C2×C8 | #12825 | 1 | 1 | yes | characteristic |
| 705 | C2×C8 | #12831 | 1 | 1 | yes | characteristic |
| 706 | C2×C8 | #12831 | 1 | 1 | yes | characteristic |
| 707 | C2×C8 | #12833 | 1 | 1 | yes | characteristic |
| 708 | C2×C8 | #12833 | 1 | 1 | yes | characteristic |
| 709 | C4⋊C4 | — | 8 | 1 | no | — |
| 710 | C4⋊C4 | — | 16 | 1 | no | — |
| 711 | C22⋊C4 | — | 8 | 1 | no | — |
| 712 | C22⋊C4 | — | 16 | 1 | no | — |
| 713 | C42 | — | 2 | 1 | no | — |
| 714 | C42 | — | 2 | 1 | no | — |
| 715 | C42 | — | 2 | 1 | no | — |
| 716 | C42 | — | 2 | 1 | no | — |
| 717 | C42 | — | 2 | 1 | no | — |
| 718 | C42 | — | 8 | 2 | no | — |
| 719 | C42 | — | 8 | 1 | no | — |
| 720 | C42 | — | 16 | 1 | no | — |
| 721 | C42 | #8604 | 1 | 1 | yes | characteristic |
| 722 | C42 | #8670 | 1 | 1 | yes | characteristic |
| 723 | C16 | — | 2 | 1 | no | — |
| 724 | C16 | — | 2 | 1 | no | — |
| 725 | C16 | — | 2 | 2 | no | — |
| 726 | C16 | — | 2 | 1 | no | — |
| 727 | C16 | — | 2 | 1 | no | — |
| 728 | C16 | — | 4 | 1 | no | — |
| 729 | C16 | — | 4 | 1 | no | — |
| 730 | C16 | — | 4 | 1 | no | — |
| 731 | C16 | — | 8 | 2 | no | — |
| 732 | C16 | — | 8 | 2 | no | — |
| 733 | C16 | — | 64 | 1 | no | — |
| 734 | C16 | C2×#1333 | 1 | 1 | yes | characteristic |
| 735 | C16 | #11598 | 1 | 1 | yes | characteristic |
| 736 | C16 | #11663 | 1 | 1 | yes | characteristic |
| 737 | C16 | #11666 | 1 | 1 | yes | characteristic |
| 738 | C16 | C2×#1368 | 1 | 1 | yes | characteristic |
| 739 | C16 | #11999 | 1 | 1 | yes | characteristic |
| 740 | C16 | #12019 | 1 | 1 | yes | characteristic |
| 741 | C16 | #12019 | 1 | 1 | yes | characteristic |
| 742 | C23 | — | 8 | 1 | no | — |
| 743 | C23 | #134947 | 1 | 1 | yes | characteristic |
| 744 | Q8 | — | 4 | 2 | no | — |
| 745 | Q8 | — | 8 | 1 | no | — |
| 746 | D4 | — | 4 | 2 | no | — |
| 747 | D4 | — | 8 | 2 | no | — |
| 748 | D4 | — | 8 | 2 | no | — |
| 749 | D4 | — | 8 | 1 | no | — |
| 750 | C2×C4 | — | 2 | 1 | no | — |
| 751 | C2×C4 | — | 2 | 1 | no | — |
| 752 | C2×C4 | — | 4 | 2 | no | — |
| 753 | C2×C4 | — | 4 | 1 | no | — |
| 754 | C2×C4 | — | 4 | 1 | no | — |
| 755 | C2×C4 | — | 8 | 1 | no | — |
| 756 | C2×C4 | — | 8 | 2 | no | — |
| 757 | C2×C4 | — | 8 | 2 | no | — |
| 758 | C2×C4 | — | 8 | 1 | no | — |
| 759 | C2×C4 | — | 8 | 1 | no | — |
| 760 | C2×C4 | — | 16 | 1 | no | — |
| 761 | C2×C4 | — | 64 | 1 | no | — |
| 762 | C2×C4 | #98856 | 1 | 1 | yes | characteristic |
| 763 | C2×C4 | #134940 | 1 | 1 | yes | characteristic |
| 764 | C2×C4 | #134942 | 1 | 1 | yes | characteristic |
| 765 | C2×C4 | #134944 | 1 | 1 | yes | characteristic |
| 766 | C2×C4 | #134944 | 1 | 1 | yes | characteristic |
| 767 | C2×C4 | #134947 | 1 | 1 | yes | characteristic |
| 768 | C8 | — | 2 | 4 | no | — |
| 769 | C8 | — | 4 | 2 | no | — |
| 770 | C8 | — | 4 | 1 | no | — |
| 771 | C8 | — | 4 | 1 | no | — |
| 772 | C8 | — | 8 | 2 | no | — |
| 773 | C8 | — | 16 | 1 | no | — |
| 774 | C8 | — | 16 | 1 | no | — |
| 775 | C8 | — | 128 | 1 | no | — |
| 776 | C8 | #134362 | 1 | 1 | yes | characteristic |
| 777 | C8 | #134368 | 1 | 1 | yes | characteristic |
| 778 | C8 | #134657 | 1 | 1 | yes | characteristic |
| 779 | C8 | #134661 | 1 | 1 | yes | characteristic |
| 780 | C8 | #135049 | 1 | 1 | yes | characteristic |
| 781 | C8 | #135051 | 1 | 1 | yes | characteristic |
| 782 | C8 | #135073 | 1 | 1 | yes | characteristic |
| 783 | C8 | #135073 | 1 | 1 | yes | characteristic |
| 784 | C22 | — | 4 | 1 | no | — |
| 785 | C22 | — | 8 | 2 | no | — |
| 786 | C22 | — | 32 | 1 | no | — |
| 787 | C22 | #72216393 | 1 | 1 | yes | characteristic |
| 788 | C22 | #72227256 | 1 | 1 | yes | characteristic |
| 789 | C22 | #72227258 | 1 | 1 | yes | characteristic |
| 790 | C4 | — | 2 | 2 | no | — |
| 791 | C4 | — | 4 | 1 | no | — |
| 792 | C4 | — | 8 | 1 | no | — |
| 793 | C4 | — | 8 | 1 | no | — |
| 794 | C4 | — | 8 | 2 | no | — |
| 795 | C4 | — | 32 | 1 | no | — |
| 796 | C4 | #72216287 | 1 | 1 | yes | characteristic |
| 797 | C4 | #72227108 | 1 | 1 | yes | characteristic |
| 798 | C4 | #72227256 | 1 | 1 | yes | characteristic |
| 799 | C4 | #72227258 | 1 | 1 | yes | characteristic |
| 800 | C2 | — | 2 | 1 | no | — |
| 801 | C2 | — | 2 | 1 | no | — |
| 802 | C2 | — | 2 | 1 | no | — |
| 803 | C2 | — | 16 | 2 | no | — |
| 804 | C2 | #72227259 | 1 | 1 | yes | characteristic |
Complements
Splittings G = N ⋊ H with N normal; H ≅ G/N.
Maximal subgroups
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
Finite Group Databasebeta