← #72227121
Subgroups — #72227121
Order 4096.
1805 conjugacy classes of subgroups.
The subgroup lattice has 978 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #72227117 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #72227113 | — | 2 | 2 | no | — |
| 3 | #72227112 | — | 2 | 2 | no | — |
| 4 | #72227111 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #72227110 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #72227109 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #72225421 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | #72225420 | — | 2 | 1 | no | — |
| 9 | #72225419 | — | 2 | 1 | no | — |
| 10 | #72225418 | — | 2 | 2 | no | — |
| 11 | #72225416 | C22 | 1 | 2 | yes | — |
| 12 | #72225414 | C22 | 1 | 2 | yes | — |
| 13 | #72225383 | C2 | 1 | 1 | yes | maximal, characteristic |
| 14 | #72225381 | C4 | 1 | 2 | yes | — |
| 15 | #72225381 | C4 | 1 | 2 | yes | — |
| 16 | #72225380 | C22 | 1 | 2 | yes | — |
| 17 | #72225379 | C22 | 1 | 2 | yes | — |
| 18 | #72225363 | C4 | 1 | 1 | yes | characteristic |
| 19 | #72225363 | C4 | 1 | 1 | yes | characteristic |
| 20 | #72225353 | C4 | 1 | 1 | yes | characteristic |
| 21 | #72225353 | C4 | 1 | 1 | yes | characteristic |
| 22 | #72225351 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 23 | #72225350 | C22 | 1 | 2 | yes | — |
| 24 | #72225349 | C22 | 1 | 2 | yes | — |
| 25 | #72225326 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 26 | #72225323 | C22 | 1 | 1 | yes | characteristic |
| 27 | #72225322 | C22 | 1 | 1 | yes | characteristic |
| 28 | #72225132 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 29 | #72225131 | C22 | 1 | 2 | yes | — |
| 30 | #72225131 | C22 | 1 | 2 | yes | — |
| 31 | #72225126 | C22 | 1 | 1 | yes | characteristic |
| 32 | #72224975 | — | 2 | 2 | no | — |
| 33 | #72224974 | — | 2 | 2 | no | — |
| 34 | #72223681 | C22 | 1 | 1 | yes | characteristic |
| 35 | #72223681 | C22 | 1 | 1 | yes | characteristic |
| 36 | #72216397 | C2 | 1 | 1 | yes | maximal, characteristic |
| 37 | #72216393 | C22 | 1 | 2 | yes | — |
| 38 | #72216392 | C22 | 1 | 2 | yes | — |
| 39 | #72216391 | — | 2 | 2 | no | — |
| 40 | #72216390 | — | 2 | 1 | no | — |
| 41 | #72216388 | — | 2 | 1 | no | — |
| 42 | #72216309 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 43 | #72216304 | C22 | 1 | 2 | yes | — |
| 44 | #72216302 | C22 | 1 | 2 | yes | — |
| 45 | #72216243 | C22 | 1 | 1 | yes | characteristic |
| 46 | C8×#1398 | C22 | 1 | 1 | yes | characteristic |
| 47 | #72216215 | C22 | 1 | 1 | yes | characteristic |
| 48 | #72216215 | C22 | 1 | 1 | yes | characteristic |
| 49 | #72216211 | C22 | 1 | 1 | yes | characteristic |
| 50 | #72216168 | C22 | 1 | 1 | yes | characteristic |
| 51 | #512751 | C2×C4 | 1 | 2 | yes | — |
| 52 | #512751 | C2×C4 | 1 | 2 | yes | — |
| 53 | #512548 | — | 2 | 2 | no | — |
| 54 | #497829 | — | 2 | 2 | no | — |
| 55 | #493242 | D4 | 1 | 1 | yes | characteristic |
| 56 | #493217 | C23 | 1 | 2 | yes | — |
| 57 | #483601 | — | 4 | 1 | no | — |
| 58 | #483597 | — | 4 | 1 | no | — |
| 59 | C2×#12047 | Q8 | 1 | 1 | yes | characteristic |
| 60 | C2×#12046 | C2×C4 | 1 | 1 | yes | characteristic |
| 61 | #483327 | — | 2 | 2 | no | — |
| 62 | #483326 | — | 2 | 2 | no | — |
| 63 | #225494 | — | 2 | 2 | no | — |
| 64 | #151989 | C2×C4 | 1 | 2 | yes | — |
| 65 | #151989 | C2×C4 | 1 | 2 | yes | — |
| 66 | #151981 | C23 | 1 | 2 | yes | — |
| 67 | #151904 | — | 2 | 2 | no | — |
| 68 | #151904 | — | 2 | 2 | no | — |
| 69 | #151895 | — | 2 | 2 | no | — |
| 70 | C4×#1398 | C23 | 1 | 1 | yes | characteristic |
| 71 | C4×#1398 | C23 | 1 | 1 | yes | characteristic |
| 72 | #151073 | — | 2 | 2 | no | — |
| 73 | #151073 | C8 | 1 | 4 | yes | complemented |
| 74 | #151072 | — | 2 | 2 | no | — |
| 75 | #151072 | C8 | 1 | 4 | yes | complemented |
| 76 | C2×#7459 | C2×C4 | 1 | 1 | yes | characteristic |
| 77 | C2×#7459 | C2×C4 | 1 | 1 | yes | characteristic |
| 78 | #151024 | — | 2 | 1 | no | — |
| 79 | #151024 | — | 2 | 2 | no | — |
| 80 | #151024 | — | 4 | 4 | no | — |
| 81 | #151024 | D4 | 1 | 2 | yes | — |
| 82 | C2×#7457 | — | 2 | 2 | no | — |
| 83 | C2×#7457 | — | 2 | 2 | no | — |
| 84 | C2×#7457 | — | 2 | 2 | no | — |
| 85 | C2×#7457 | — | 4 | 4 | no | — |
| 86 | C2×#7457 | — | 4 | 2 | no | — |
| 87 | #150051 | C2×C4 | 1 | 2 | yes | — |
| 88 | #150051 | C2×C4 | 1 | 2 | yes | — |
| 89 | #149495 | C2×C4 | 1 | 1 | yes | characteristic |
| 90 | #149495 | C2×C4 | 1 | 1 | yes | characteristic |
| 91 | C8×M64 | C2×C4 | 1 | 1 | yes | characteristic |
| 92 | C8×M64 | C2×C4 | 1 | 1 | yes | characteristic |
| 93 | #140393 | — | 2 | 2 | no | — |
| 94 | #140390 | — | 2 | 2 | no | — |
| 95 | #140357 | — | 4 | 1 | no | — |
| 96 | #140355 | — | 4 | 1 | no | — |
| 97 | #135910 | — | 4 | 2 | no | — |
| 98 | #135904 | — | 4 | 2 | no | — |
| 99 | #135833 | — | 4 | 2 | no | — |
| 100 | #135832 | — | 4 | 2 | no | — |
| 101 | #135718 | — | 2 | 1 | no | — |
| 102 | #135718 | C23 | 1 | 2 | yes | — |
| 103 | #135715 | — | 2 | 1 | no | — |
| 104 | #135715 | C23 | 1 | 2 | yes | — |
| 105 | #135713 | — | 2 | 1 | no | — |
| 106 | #134666 | — | 2 | 2 | no | — |
| 107 | #134661 | — | 2 | 2 | no | — |
| 108 | #134373 | — | 2 | 2 | no | — |
| 109 | #134368 | — | 2 | 2 | no | — |
| 110 | #129143 | Q8 | 1 | 1 | yes | characteristic |
| 111 | #129142 | C2×C4 | 1 | 1 | yes | characteristic |
| 112 | #129101 | D4 | 1 | 1 | yes | characteristic |
| 113 | #129090 | C23 | 1 | 1 | yes | characteristic |
| 114 | #129090 | C23 | 1 | 1 | yes | characteristic |
| 115 | #129088 | C23 | 1 | 1 | yes | characteristic |
| 116 | #129088 | C23 | 1 | 1 | yes | characteristic |
| 117 | #129051 | — | 2 | 1 | no | — |
| 118 | #129051 | — | 2 | 1 | no | — |
| 119 | #128674 | C2×C4 | 1 | 2 | yes | — |
| 120 | #128673 | Q8 | 1 | 2 | yes | — |
| 121 | C4×#1335 | D4 | 1 | 2 | yes | — |
| 122 | C8×#346 | C23 | 1 | 1 | yes | characteristic |
| 123 | #99295 | — | 2 | 1 | no | — |
| 124 | #94041 | C2×C4 | 1 | 2 | yes | — |
| 125 | #94041 | C2×C4 | 1 | 2 | yes | — |
| 126 | #94031 | — | 2 | 1 | no | — |
| 127 | #94031 | — | 2 | 2 | no | — |
| 128 | #94031 | D4 | 1 | 2 | yes | — |
| 129 | #94030 | — | 2 | 2 | no | — |
| 130 | #94019 | C2×C4 | 1 | 2 | yes | — |
| 131 | #93448 | — | 2 | 2 | no | — |
| 132 | #93444 | — | 2 | 2 | no | — |
| 133 | #93264 | — | 2 | 1 | no | — |
| 134 | #93264 | — | 2 | 1 | no | — |
| 135 | #33974 | — | 2 | 2 | no | — |
| 136 | #33974 | — | 2 | 2 | no | — |
| 137 | C2×#2179 | SD16 | 1 | 1 | yes | characteristic |
| 138 | C2×#2178 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 139 | #33451 | SD16 | 1 | 1 | yes | characteristic |
| 140 | #33443 | — | 4 | 2 | no | — |
| 141 | C2×#2170 | C22×C4 | 1 | 2 | yes | — |
| 142 | C2×#2170 | C2×Q8 | 1 | 2 | yes | — |
| 143 | #33401 | — | 4 | 2 | no | — |
| 144 | #33326 | — | 2 | 2 | no | — |
| 145 | C4×#443 | C2×D4 | 1 | 2 | yes | — |
| 146 | #17858 | — | 4 | 2 | no | — |
| 147 | #17788 | — | 4 | 2 | no | — |
| 148 | #13648 | — | 2 | 4 | no | — |
| 149 | #13648 | — | 4 | 2 | no | — |
| 150 | #13647 | — | 2 | 4 | no | — |
| 151 | #13647 | C2×C8 | 1 | 8 | yes | complemented |
| 152 | C2×#1422 | C22×C4 | 1 | 2 | yes | — |
| 153 | C2×#1422 | C22×C4 | 1 | 2 | yes | — |
| 154 | #13558 | — | 2 | 2 | no | — |
| 155 | #13558 | — | 2 | 2 | no | — |
| 156 | #13551 | — | 2 | 2 | no | — |
| 157 | #13551 | — | 2 | 2 | no | — |
| 158 | #13551 | — | 4 | 4 | no | — |
| 159 | C2×#1398 | — | 2 | 2 | no | — |
| 160 | C2×#1398 | — | 2 | 1 | no | — |
| 161 | C2×#1398 | — | 2 | 1 | no | — |
| 162 | C2×#1398 | — | 4 | 4 | no | — |
| 163 | C2×#1398 | C2×D4 | 1 | 1 | yes | characteristic |
| 164 | C2×#1398 | C2×D4 | 1 | 1 | yes | characteristic |
| 165 | C2×#1398 | #41 | 1 | 1 | yes | characteristic |
| 166 | C2×#1398 | #41 | 1 | 1 | yes | characteristic |
| 167 | C4×M64 | C22×C4 | 1 | 1 | yes | characteristic |
| 168 | C4×M64 | C22×C4 | 1 | 1 | yes | characteristic |
| 169 | C4×M64 | C22×C4 | 1 | 1 | yes | characteristic |
| 170 | C4×M64 | C22×C4 | 1 | 1 | yes | characteristic |
| 171 | #13164 | — | 4 | 2 | no | — |
| 172 | #12918 | — | 8 | 2 | no | — |
| 173 | #12900 | — | 2 | 2 | no | — |
| 174 | #12792 | — | 4 | 2 | no | — |
| 175 | #12676 | SD16 | 1 | 1 | yes | characteristic |
| 176 | #12671 | SD16 | 1 | 1 | yes | characteristic |
| 177 | #12670 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 178 | #12664 | C22×C4 | 1 | 2 | yes | — |
| 179 | #12664 | C2×Q8 | 1 | 2 | yes | — |
| 180 | C4×#364 | — | 2 | 1 | no | — |
| 181 | C4×#364 | — | 2 | 1 | no | — |
| 182 | C4×#364 | C2×D4 | 1 | 2 | yes | — |
| 183 | #12642 | SD16 | 1 | 2 | yes | — |
| 184 | #12641 | C4⋊C4 | 1 | 2 | yes | — |
| 185 | #12640 | SD16 | 1 | 2 | yes | — |
| 186 | #12615 | — | 2 | 2 | no | — |
| 187 | #12615 | — | 2 | 2 | no | — |
| 188 | #12604 | — | 2 | 2 | no | — |
| 189 | C4×#346 | C2×D4 | 1 | 1 | yes | characteristic |
| 190 | C4×#346 | C24 | 1 | 1 | yes | characteristic |
| 191 | #12068 | — | 8 | 2 | no | — |
| 192 | #12068 | — | 8 | 2 | no | — |
| 193 | #12067 | — | 8 | 1 | no | — |
| 194 | #12066 | — | 8 | 1 | no | — |
| 195 | #12065 | — | 8 | 2 | no | — |
| 196 | #12047 | — | 2 | 2 | no | — |
| 197 | #12047 | — | 2 | 2 | no | — |
| 198 | #12046 | C2×C8 | 1 | 2 | yes | — |
| 199 | #12046 | C2×C8 | 1 | 2 | yes | — |
| 200 | #12046 | M16 | 1 | 2 | yes | — |
| 201 | #12046 | M16 | 1 | 2 | yes | — |
| 202 | C2×#1373 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 203 | C2×#1373 | C4⋊C4 | 1 | 1 | yes | characteristic |
| 204 | #12002 | — | 4 | 2 | no | — |
| 205 | #12002 | — | 8 | 2 | no | — |
| 206 | C2×#1369 | — | 2 | 2 | no | — |
| 207 | C2×#1369 | — | 2 | 1 | no | — |
| 208 | C2×#1369 | — | 2 | 2 | no | — |
| 209 | C2×#1369 | — | 4 | 4 | no | — |
| 210 | C2×#1369 | — | 4 | 1 | no | — |
| 211 | C2×#1369 | — | 4 | 1 | no | — |
| 212 | C2×#1369 | C2×D4 | 1 | 2 | yes | — |
| 213 | #12000 | — | 4 | 2 | no | — |
| 214 | #12000 | — | 8 | 2 | no | — |
| 215 | #11999 | — | 2 | 1 | no | — |
| 216 | #11999 | — | 4 | 2 | no | — |
| 217 | #11999 | C2×D4 | 1 | 2 | yes | — |
| 218 | C2×#1368 | — | 2 | 2 | no | — |
| 219 | C2×#1368 | — | 2 | 2 | no | — |
| 220 | C2×#1368 | — | 4 | 1 | no | — |
| 221 | C2×#1368 | — | 4 | 1 | no | — |
| 222 | C2×#1368 | — | 4 | 2 | no | — |
| 223 | #11996 | — | 8 | 1 | no | — |
| 224 | #11604 | — | 4 | 2 | no | — |
| 225 | C2×#1335 | C4⋊C4 | 1 | 2 | yes | — |
| 226 | C2×#1335 | C4⋊C4 | 1 | 2 | yes | — |
| 227 | #11598 | — | 4 | 2 | no | — |
| 228 | #11405 | — | 4 | 1 | no | — |
| 229 | #11405 | — | 4 | 1 | no | — |
| 230 | C2×#1311 | C22×C4 | 1 | 1 | yes | characteristic |
| 231 | C2×#1311 | C2×Q8 | 1 | 1 | yes | characteristic |
| 232 | C2×C8×C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 233 | C2×C8×C16 | C2×Q8 | 1 | 1 | yes | characteristic |
| 234 | #9607 | — | 4 | 2 | no | — |
| 235 | #8839 | — | 8 | 2 | no | — |
| 236 | #8805 | — | 2 | 2 | no | — |
| 237 | #8805 | — | 8 | 1 | no | — |
| 238 | #8604 | — | 4 | 2 | no | — |
| 239 | #8266 | — | 2 | 1 | no | — |
| 240 | #8266 | — | 2 | 1 | no | — |
| 241 | C4×C82 | C2×D4 | 1 | 1 | yes | characteristic |
| 242 | #7469 | — | 2 | 2 | no | — |
| 243 | #7469 | — | 2 | 2 | no | — |
| 244 | #7468 | — | 2 | 2 | no | — |
| 245 | #7459 | — | 2 | 1 | no | — |
| 246 | #7459 | — | 2 | 1 | no | — |
| 247 | #7459 | C2×C8 | 1 | 2 | yes | complemented |
| 248 | #7459 | C2×C8 | 1 | 2 | yes | complemented |
| 249 | #7457 | — | 2 | 4 | no | — |
| 250 | #7457 | — | 4 | 2 | no | — |
| 251 | #7457 | — | 4 | 2 | no | — |
| 252 | #7457 | — | 4 | 4 | no | — |
| 253 | #7457 | — | 4 | 2 | no | — |
| 254 | #7457 | — | 4 | 4 | no | — |
| 255 | #7457 | — | 8 | 2 | no | — |
| 256 | #7457 | — | 8 | 4 | no | — |
| 257 | #7381 | — | 2 | 4 | no | — |
| 258 | #7381 | C2×C8 | 1 | 8 | yes | complemented |
| 259 | #7330 | — | 2 | 2 | no | — |
| 260 | #7330 | — | 4 | 1 | no | — |
| 261 | #7329 | — | 2 | 1 | no | — |
| 262 | #7329 | C2×C8 | 1 | 2 | yes | complemented |
| 263 | C8×C32 | — | 2 | 1 | no | — |
| 264 | C8×C32 | C2×C8 | 1 | 2 | yes | complemented |
| 265 | #7180 | — | 4 | 2 | no | — |
| 266 | #7179 | C4⋊C4 | 1 | 2 | yes | — |
| 267 | #7179 | C4⋊C4 | 1 | 2 | yes | — |
| 268 | #7173 | — | 4 | 2 | no | — |
| 269 | #7162 | — | 4 | 2 | no | — |
| 270 | #7161 | — | 2 | 1 | no | — |
| 271 | #7161 | — | 2 | 1 | no | — |
| 272 | #7160 | C4⋊C4 | 1 | 2 | yes | — |
| 273 | #7158 | — | 4 | 2 | no | — |
| 274 | #7157 | — | 2 | 1 | no | — |
| 275 | #7157 | — | 2 | 1 | no | — |
| 276 | #7140 | — | 4 | 1 | no | — |
| 277 | #7140 | — | 4 | 1 | no | — |
| 278 | C2×#508 | #106 | 1 | 1 | yes | characteristic |
| 279 | #3407 | — | 8 | 2 | no | — |
| 280 | C2×#504 | — | 2 | 2 | no | — |
| 281 | C2×#504 | — | 2 | 2 | no | — |
| 282 | #2988 | — | 8 | 2 | no | — |
| 283 | C2×#443 | C2×C4⋊C4 | 1 | 2 | yes | — |
| 284 | C2×#443 | C2×SD16 | 1 | 2 | yes | — |
| 285 | C4×#135 | C2×SD16 | 1 | 2 | yes | — |
| 286 | C4×#131 | — | 2 | 2 | no | — |
| 287 | #2258 | — | 2 | 8 | no | — |
| 288 | #2258 | — | 4 | 4 | no | — |
| 289 | #2258 | — | 4 | 4 | no | — |
| 290 | #2258 | — | 8 | 2 | no | — |
| 291 | C2×M64 | — | 2 | 1 | no | — |
| 292 | C2×M64 | — | 2 | 2 | no | — |
| 293 | C2×M64 | — | 2 | 1 | no | — |
| 294 | C2×M64 | — | 2 | 2 | no | — |
| 295 | C2×M64 | — | 4 | 4 | no | — |
| 296 | C2×M64 | — | 4 | 4 | no | — |
| 297 | C2×M64 | C4×D4 | 1 | 1 | yes | characteristic |
| 298 | C2×M64 | C4×D4 | 1 | 1 | yes | characteristic |
| 299 | C2×M64 | C4×D4 | 1 | 1 | yes | characteristic |
| 300 | C2×M64 | C4×D4 | 1 | 1 | yes | characteristic |
| 301 | #2179 | — | 2 | 2 | no | — |
| 302 | #2179 | — | 2 | 2 | no | — |
| 303 | #2178 | C4⋊C8 | 1 | 2 | yes | — |
| 304 | #2178 | C4⋊C8 | 1 | 2 | yes | — |
| 305 | #2178 | #108 | 1 | 2 | yes | — |
| 306 | #2178 | #108 | 1 | 2 | yes | — |
| 307 | #2177 | — | 2 | 1 | no | — |
| 308 | #2176 | — | 2 | 1 | no | — |
| 309 | #2175 | — | 2 | 2 | no | — |
| 310 | #2171 | — | 8 | 4 | no | — |
| 311 | #2170 | — | 2 | 4 | no | — |
| 312 | #2170 | — | 2 | 2 | no | — |
| 313 | #2170 | — | 2 | 2 | no | — |
| 314 | #2170 | — | 4 | 2 | no | — |
| 315 | #2170 | — | 16 | 2 | no | — |
| 316 | #2170 | C22×C8 | 1 | 4 | yes | — |
| 317 | #2170 | C2×M16 | 1 | 4 | yes | — |
| 318 | C2×#368 | #106 | 1 | 1 | yes | characteristic |
| 319 | C2×#368 | #106 | 1 | 1 | yes | characteristic |
| 320 | #2158 | #106 | 1 | 1 | yes | characteristic |
| 321 | #2153 | — | 8 | 2 | no | — |
| 322 | #2153 | — | 16 | 2 | no | — |
| 323 | C2×#364 | — | 2 | 2 | no | — |
| 324 | C2×#364 | — | 4 | 2 | no | — |
| 325 | C2×#364 | — | 4 | 1 | no | — |
| 326 | C2×#364 | — | 4 | 2 | no | — |
| 327 | C2×#364 | — | 8 | 4 | no | — |
| 328 | C2×#364 | C2×C4⋊C4 | 1 | 2 | yes | — |
| 329 | C2×#364 | C2×C4⋊C4 | 1 | 2 | yes | — |
| 330 | #2150 | — | 4 | 2 | no | — |
| 331 | C2×#359 | #106 | 1 | 2 | yes | — |
| 332 | C2×#359 | #106 | 1 | 2 | yes | — |
| 333 | #2138 | #106 | 1 | 2 | yes | — |
| 334 | #2117 | — | 8 | 2 | no | — |
| 335 | C2×#350 | — | 2 | 2 | no | — |
| 336 | C2×#350 | — | 2 | 2 | no | — |
| 337 | #2108 | — | 2 | 2 | no | — |
| 338 | #2108 | — | 2 | 2 | no | — |
| 339 | #2108 | — | 4 | 2 | no | — |
| 340 | #2108 | — | 4 | 2 | no | — |
| 341 | C4×M32 | — | 2 | 2 | no | — |
| 342 | C4×M32 | — | 4 | 2 | no | — |
| 343 | C4×M32 | — | 4 | 1 | no | — |
| 344 | C4×M32 | — | 4 | 1 | no | — |
| 345 | C2×#346 | — | 4 | 2 | no | — |
| 346 | C2×#346 | C2×SD16 | 1 | 1 | yes | characteristic |
| 347 | C2×#346 | C2×SD16 | 1 | 1 | yes | characteristic |
| 348 | C2×#346 | C2×SD16 | 1 | 1 | yes | characteristic |
| 349 | C2×#346 | C2×SD16 | 1 | 1 | yes | characteristic |
| 350 | C2×#346 | C22×D4 | 1 | 1 | yes | characteristic |
| 351 | C2×#346 | C2×#41 | 1 | 1 | yes | characteristic |
| 352 | C2×#346 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 353 | C2×#346 | 2−1+4 | 1 | 1 | yes | characteristic |
| 354 | C2×C4×C16 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 355 | C2×C4×C16 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 356 | C2×C4×C16 | C23×C4 | 1 | 1 | yes | characteristic |
| 357 | C2×C4×C16 | C22×Q8 | 1 | 1 | yes | characteristic |
| 358 | #1842 | — | 4 | 2 | no | — |
| 359 | C4×#108 | C2×SD16 | 1 | 2 | yes | — |
| 360 | #1772 | C2×C4⋊C4 | 1 | 2 | yes | — |
| 361 | #1772 | C2×SD16 | 1 | 2 | yes | — |
| 362 | #1764 | — | 2 | 2 | no | — |
| 363 | #1764 | — | 2 | 2 | no | — |
| 364 | C4×#104 | — | 2 | 2 | no | — |
| 365 | C42×C8 | — | 2 | 1 | no | — |
| 366 | C42×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 367 | #1580 | — | 8 | 2 | no | — |
| 368 | #1579 | — | 8 | 2 | no | — |
| 369 | C8×SD16 | — | 16 | 2 | no | — |
| 370 | #1565 | — | 8 | 2 | no | — |
| 371 | #1565 | — | 16 | 2 | no | — |
| 372 | #1564 | — | 2 | 2 | no | — |
| 373 | #1564 | — | 4 | 1 | no | — |
| 374 | #1564 | — | 8 | 2 | no | — |
| 375 | C2×#334 | — | 4 | 2 | no | — |
| 376 | C2×#334 | — | 4 | 2 | no | — |
| 377 | C2×#334 | — | 8 | 2 | no | — |
| 378 | C2×#334 | — | 16 | 2 | no | — |
| 379 | #1477 | — | 8 | 2 | no | — |
| 380 | #1450 | — | 4 | 1 | no | — |
| 381 | #1450 | — | 4 | 1 | no | — |
| 382 | C2×C82 | — | 2 | 1 | no | — |
| 383 | C2×C82 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 384 | C2×C82 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 385 | #1422 | — | 2 | 2 | no | — |
| 386 | #1422 | — | 2 | 2 | no | — |
| 387 | #1422 | — | 2 | 2 | no | — |
| 388 | #1422 | C22×C8 | 1 | 4 | yes | — |
| 389 | #1401 | — | 2 | 8 | no | — |
| 390 | #1401 | — | 4 | 4 | no | — |
| 391 | #1398 | — | 2 | 4 | no | — |
| 392 | #1398 | — | 2 | 2 | no | — |
| 393 | #1398 | — | 2 | 2 | no | — |
| 394 | #1398 | — | 4 | 1 | no | — |
| 395 | #1398 | — | 4 | 2 | no | — |
| 396 | #1398 | — | 4 | 4 | no | — |
| 397 | #1398 | — | 4 | 4 | no | — |
| 398 | #1398 | — | 4 | 2 | no | — |
| 399 | #1398 | — | 4 | 2 | no | — |
| 400 | #1398 | AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 401 | #1397 | — | 2 | 1 | no | — |
| 402 | #1397 | — | 2 | 1 | no | — |
| 403 | #1397 | — | 2 | 1 | no | — |
| 404 | #1397 | #131 | 1 | 2 | yes | — |
| 405 | C4×C32 | — | 2 | 1 | no | — |
| 406 | C4×C32 | — | 2 | 1 | no | — |
| 407 | C4×C32 | C22×C8 | 1 | 2 | yes | — |
| 408 | C4×C32 | C22×C8 | 1 | 2 | yes | — |
| 409 | #1382 | #106 | 1 | 2 | yes | — |
| 410 | #1382 | #106 | 1 | 2 | yes | — |
| 411 | #1381 | #106 | 1 | 2 | yes | — |
| 412 | #1379 | — | 2 | 2 | no | — |
| 413 | #1379 | — | 2 | 2 | no | — |
| 414 | #1378 | — | 8 | 2 | no | — |
| 415 | #1376 | — | 2 | 2 | no | — |
| 416 | #1376 | — | 4 | 1 | no | — |
| 417 | #1376 | — | 4 | 1 | no | — |
| 418 | #1373 | — | 2 | 1 | no | — |
| 419 | #1373 | — | 2 | 1 | no | — |
| 420 | #1373 | C4⋊C8 | 1 | 2 | yes | — |
| 421 | #1373 | C4⋊C8 | 1 | 2 | yes | — |
| 422 | #1369 | — | 2 | 2 | no | — |
| 423 | #1369 | — | 2 | 2 | no | — |
| 424 | #1369 | — | 4 | 1 | no | — |
| 425 | #1369 | — | 4 | 1 | no | — |
| 426 | #1369 | — | 4 | 2 | no | — |
| 427 | #1369 | — | 4 | 2 | no | — |
| 428 | #1369 | — | 8 | 2 | no | — |
| 429 | #1369 | — | 8 | 1 | no | — |
| 430 | #1369 | — | 8 | 1 | no | — |
| 431 | #1369 | — | 8 | 4 | no | — |
| 432 | #1369 | — | 16 | 1 | no | — |
| 433 | #1368 | — | 2 | 2 | no | — |
| 434 | #1368 | — | 2 | 2 | no | — |
| 435 | #1368 | — | 4 | 1 | no | — |
| 436 | #1368 | — | 4 | 1 | no | — |
| 437 | #1368 | — | 4 | 2 | no | — |
| 438 | #1368 | — | 4 | 2 | no | — |
| 439 | #1368 | — | 8 | 2 | no | — |
| 440 | #1368 | — | 8 | 2 | no | — |
| 441 | #1368 | — | 8 | 1 | no | — |
| 442 | #1368 | — | 8 | 1 | no | — |
| 443 | #1368 | — | 8 | 2 | no | — |
| 444 | #1368 | — | 16 | 1 | no | — |
| 445 | #1367 | — | 16 | 2 | no | — |
| 446 | #1336 | — | 8 | 4 | no | — |
| 447 | #1335 | — | 2 | 4 | no | — |
| 448 | #1335 | C4⋊C8 | 1 | 4 | yes | — |
| 449 | #1335 | C4⋊C8 | 1 | 4 | yes | — |
| 450 | #1334 | — | 8 | 2 | no | — |
| 451 | #1333 | — | 8 | 2 | no | — |
| 452 | #1313 | — | 8 | 1 | no | — |
| 453 | #1313 | — | 8 | 1 | no | — |
| 454 | #1313 | — | 8 | 1 | no | — |
| 455 | #1313 | — | 8 | 1 | no | — |
| 456 | #1311 | — | 2 | 1 | no | — |
| 457 | #1311 | — | 2 | 1 | no | — |
| 458 | #1311 | — | 2 | 1 | no | — |
| 459 | #1311 | — | 2 | 1 | no | — |
| 460 | C8×C16 | — | 4 | 1 | no | — |
| 461 | C8×C16 | C22×C8 | 1 | 1 | yes | characteristic |
| 462 | C8×C16 | C22×C8 | 1 | 1 | yes | characteristic |
| 463 | C8×C16 | C2×M16 | 1 | 1 | yes | characteristic |
| 464 | C8×C16 | C2×M16 | 1 | 1 | yes | characteristic |
| 465 | #1283 | — | 8 | 2 | no | — |
| 466 | #1276 | — | 4 | 1 | no | — |
| 467 | #1276 | — | 4 | 1 | no | — |
| 468 | C2×#135 | C2×#106 | 1 | 2 | yes | — |
| 469 | C2×#131 | — | 2 | 2 | no | — |
| 470 | C2×#131 | — | 2 | 2 | no | — |
| 471 | C4×#41 | — | 2 | 2 | no | — |
| 472 | #508 | #334 | 1 | 2 | yes | — |
| 473 | #508 | #334 | 1 | 2 | yes | — |
| 474 | #508 | #365 | 1 | 2 | yes | — |
| 475 | #508 | #365 | 1 | 2 | yes | — |
| 476 | C2×Q32 | #365 | 1 | 1 | yes | characteristic |
| 477 | C2×SD32 | #365 | 1 | 2 | yes | — |
| 478 | C2×D16 | #365 | 1 | 1 | yes | characteristic |
| 479 | #504 | — | 2 | 4 | no | — |
| 480 | #504 | — | 2 | 4 | no | — |
| 481 | #504 | — | 4 | 4 | no | — |
| 482 | #504 | — | 4 | 2 | no | — |
| 483 | #504 | — | 4 | 2 | no | — |
| 484 | #504 | — | 8 | 2 | no | — |
| 485 | #504 | — | 16 | 4 | no | — |
| 486 | #504 | — | 32 | 2 | no | — |
| 487 | C2×M32 | — | 2 | 2 | no | — |
| 488 | C2×M32 | — | 2 | 2 | no | — |
| 489 | C2×M32 | — | 4 | 2 | no | — |
| 490 | C2×M32 | — | 4 | 2 | no | — |
| 491 | C2×M32 | — | 4 | 2 | no | — |
| 492 | C2×M32 | — | 8 | 1 | no | — |
| 493 | C2×M32 | — | 8 | 2 | no | — |
| 494 | C2×M32 | — | 16 | 4 | no | — |
| 495 | C22×C16 | — | 4 | 2 | no | — |
| 496 | C22×C16 | — | 4 | 2 | no | — |
| 497 | C22×C16 | C2×#106 | 1 | 1 | yes | characteristic |
| 498 | C22×C16 | C2×#106 | 1 | 1 | yes | characteristic |
| 499 | C22×C16 | C2×#106 | 1 | 1 | yes | characteristic |
| 500 | C22×C16 | C2×#106 | 1 | 1 | yes | characteristic |
| 501 | C22×C16 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 502 | C22×C16 | #520 | 1 | 1 | yes | characteristic |
| 503 | C22×C16 | D4×Q8 | 1 | 1 | yes | characteristic |
| 504 | C22×C16 | #554 | 1 | 1 | yes | characteristic |
| 505 | C8×Q8 | — | 16 | 2 | no | — |
| 506 | #443 | — | 2 | 4 | no | — |
| 507 | #443 | — | 2 | 2 | no | — |
| 508 | #443 | — | 2 | 2 | no | — |
| 509 | #443 | — | 4 | 2 | no | — |
| 510 | #443 | C2×C4⋊C8 | 1 | 4 | yes | — |
| 511 | #443 | C2×#108 | 1 | 4 | yes | — |
| 512 | C4×Q16 | — | 2 | 2 | no | — |
| 513 | C4×SD16 | — | 4 | 2 | no | — |
| 514 | C4×D8 | — | 2 | 2 | no | — |
| 515 | C8×D4 | — | 16 | 2 | no | — |
| 516 | C8×D4 | — | 32 | 2 | no | — |
| 517 | #431 | — | 4 | 2 | no | — |
| 518 | #431 | — | 8 | 1 | no | — |
| 519 | #431 | — | 16 | 2 | no | — |
| 520 | C2×#108 | C2×#106 | 1 | 2 | yes | — |
| 521 | C2×#108 | C2×#106 | 1 | 2 | yes | — |
| 522 | #427 | C2×#106 | 1 | 2 | yes | — |
| 523 | C2×C4⋊C8 | — | 8 | 2 | no | — |
| 524 | C2×C4⋊C8 | — | 16 | 2 | no | — |
| 525 | C2×C4⋊C8 | — | 16 | 2 | no | — |
| 526 | C2×#104 | — | 2 | 2 | no | — |
| 527 | C2×#104 | — | 2 | 2 | no | — |
| 528 | #416 | — | 2 | 2 | no | — |
| 529 | #405 | — | 2 | 2 | no | — |
| 530 | #405 | — | 2 | 2 | no | — |
| 531 | #405 | — | 4 | 2 | no | — |
| 532 | #405 | — | 4 | 2 | no | — |
| 533 | C4×M16 | — | 2 | 2 | no | — |
| 534 | C4×M16 | — | 4 | 2 | no | — |
| 535 | C2×C4×C8 | — | 2 | 1 | no | — |
| 536 | C2×C4×C8 | — | 2 | 1 | no | — |
| 537 | C2×C4×C8 | — | 4 | 2 | no | — |
| 538 | C2×C4×C8 | — | 4 | 2 | no | — |
| 539 | C2×C4×C8 | C22×C4⋊C4 | 1 | 1 | yes | characteristic |
| 540 | C2×C4×C8 | D42 | 1 | 1 | yes | characteristic |
| 541 | C2×C4×C8 | #547 | 1 | 1 | yes | characteristic |
| 542 | C2×C4×C8 | C22×SD16 | 1 | 1 | yes | characteristic |
| 543 | C2×C4×C8 | C22×SD16 | 1 | 1 | yes | characteristic |
| 544 | C2×C4×C8 | #577 | 1 | 1 | yes | characteristic |
| 545 | C43 | #577 | 1 | 1 | yes | characteristic |
| 546 | M64 | — | 2 | 2 | no | — |
| 547 | M64 | — | 2 | 2 | no | — |
| 548 | M64 | — | 2 | 1 | no | — |
| 549 | M64 | — | 2 | 1 | no | — |
| 550 | M64 | — | 2 | 1 | no | — |
| 551 | M64 | — | 2 | 2 | no | — |
| 552 | M64 | — | 2 | 4 | no | — |
| 553 | M64 | — | 2 | 1 | no | — |
| 554 | M64 | — | 2 | 1 | no | — |
| 555 | M64 | — | 4 | 1 | no | — |
| 556 | M64 | — | 4 | 2 | no | — |
| 557 | M64 | — | 4 | 8 | no | — |
| 558 | M64 | — | 4 | 2 | no | — |
| 559 | M64 | — | 4 | 2 | no | — |
| 560 | M64 | — | 8 | 4 | no | — |
| 561 | M64 | #442 | 1 | 2 | yes | — |
| 562 | M64 | #442 | 1 | 2 | yes | — |
| 563 | M64 | #444 | 1 | 2 | yes | — |
| 564 | C2×C32 | — | 2 | 1 | no | — |
| 565 | C2×C32 | — | 2 | 2 | no | — |
| 566 | C2×C32 | — | 2 | 1 | no | — |
| 567 | C2×C32 | — | 4 | 2 | no | — |
| 568 | C2×C32 | — | 4 | 1 | no | — |
| 569 | C2×C32 | — | 4 | 8 | no | — |
| 570 | C2×C32 | — | 4 | 2 | no | — |
| 571 | C2×C32 | — | 8 | 4 | no | — |
| 572 | C2×C32 | C8×D4 | 1 | 2 | yes | — |
| 573 | C2×C32 | C8×D4 | 1 | 2 | yes | — |
| 574 | #368 | — | 2 | 1 | no | — |
| 575 | #368 | — | 2 | 1 | no | — |
| 576 | #368 | #334 | 1 | 2 | yes | — |
| 577 | #368 | #334 | 1 | 2 | yes | — |
| 578 | #367 | — | 2 | 1 | no | — |
| 579 | #366 | — | 2 | 1 | no | — |
| 580 | #364 | — | 2 | 2 | no | — |
| 581 | #364 | — | 2 | 2 | no | — |
| 582 | #364 | — | 2 | 2 | no | — |
| 583 | #364 | — | 4 | 2 | no | — |
| 584 | #364 | — | 4 | 2 | no | — |
| 585 | #364 | — | 8 | 2 | no | — |
| 586 | #364 | — | 8 | 1 | no | — |
| 587 | #364 | — | 8 | 2 | no | — |
| 588 | #364 | — | 8 | 1 | no | — |
| 589 | #364 | — | 8 | 2 | no | — |
| 590 | #364 | — | 8 | 2 | no | — |
| 591 | #364 | — | 16 | 4 | no | — |
| 592 | #364 | C2×C4⋊C8 | 1 | 4 | yes | — |
| 593 | C4⋊C16 | — | 16 | 2 | no | — |
| 594 | #359 | — | 2 | 4 | no | — |
| 595 | #359 | #334 | 1 | 4 | yes | — |
| 596 | #359 | #334 | 1 | 4 | yes | — |
| 597 | #358 | — | 2 | 2 | no | — |
| 598 | #357 | — | 2 | 2 | no | — |
| 599 | #350 | — | 2 | 4 | no | — |
| 600 | #350 | — | 2 | 4 | no | — |
| 601 | #350 | — | 4 | 4 | no | — |
| 602 | #350 | — | 16 | 4 | no | — |
| 603 | #346 | — | 2 | 1 | no | — |
| 604 | #346 | — | 2 | 1 | no | — |
| 605 | #346 | — | 2 | 1 | no | — |
| 606 | #346 | — | 2 | 1 | no | — |
| 607 | #346 | — | 2 | 1 | no | — |
| 608 | #346 | — | 2 | 1 | no | — |
| 609 | #346 | — | 2 | 2 | no | — |
| 610 | #346 | — | 4 | 1 | no | — |
| 611 | #346 | — | 4 | 1 | no | — |
| 612 | #346 | — | 4 | 1 | no | — |
| 613 | #346 | — | 4 | 2 | no | — |
| 614 | #346 | — | 4 | 2 | no | — |
| 615 | #346 | — | 4 | 2 | no | — |
| 616 | #346 | — | 8 | 1 | no | — |
| 617 | #346 | — | 8 | 1 | no | — |
| 618 | #346 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 619 | #346 | #577 | 1 | 2 | yes | — |
| 620 | C4×C16 | — | 2 | 1 | no | — |
| 621 | C4×C16 | — | 2 | 1 | no | — |
| 622 | C4×C16 | — | 2 | 1 | no | — |
| 623 | C4×C16 | — | 2 | 1 | no | — |
| 624 | C4×C16 | — | 4 | 2 | no | — |
| 625 | C4×C16 | — | 4 | 2 | no | — |
| 626 | C4×C16 | — | 4 | 2 | no | — |
| 627 | C4×C16 | — | 8 | 1 | no | — |
| 628 | C4×C16 | — | 8 | 1 | no | — |
| 629 | C4×C16 | C2×C4⋊C8 | 1 | 1 | yes | characteristic |
| 630 | C4×C16 | C2×C4⋊C8 | 1 | 1 | yes | characteristic |
| 631 | C4×C16 | C2×#108 | 1 | 1 | yes | characteristic |
| 632 | C4×C16 | C2×#108 | 1 | 1 | yes | characteristic |
| 633 | C4×C16 | C23×C8 | 1 | 1 | yes | characteristic |
| 634 | C4×C16 | C22×M16 | 1 | 1 | yes | characteristic |
| 635 | C4×C16 | C2×#131 | 1 | 1 | yes | characteristic |
| 636 | C4×C16 | #568 | 1 | 1 | yes | characteristic |
| 637 | #341 | — | 2 | 2 | no | — |
| 638 | #339 | — | 2 | 2 | no | — |
| 639 | #339 | — | 2 | 2 | no | — |
| 640 | #335 | — | 4 | 2 | no | — |
| 641 | #335 | — | 8 | 1 | no | — |
| 642 | #335 | — | 16 | 2 | no | — |
| 643 | #334 | — | 4 | 2 | no | — |
| 644 | #334 | — | 8 | 2 | no | — |
| 645 | #334 | — | 8 | 2 | no | — |
| 646 | #334 | — | 8 | 1 | no | — |
| 647 | #334 | — | 8 | 2 | no | — |
| 648 | #334 | — | 8 | 2 | no | — |
| 649 | #334 | — | 16 | 2 | no | — |
| 650 | #334 | — | 32 | 4 | no | — |
| 651 | Q8⋊C8 | — | 16 | 2 | no | — |
| 652 | D4⋊C8 | — | 16 | 2 | no | — |
| 653 | #322 | — | 8 | 1 | no | — |
| 654 | #322 | — | 8 | 1 | no | — |
| 655 | C82 | — | 2 | 1 | no | — |
| 656 | C82 | — | 2 | 1 | no | — |
| 657 | C82 | — | 2 | 1 | no | — |
| 658 | C82 | — | 4 | 2 | no | — |
| 659 | C82 | — | 8 | 1 | no | — |
| 660 | C82 | — | 8 | 1 | no | — |
| 661 | C82 | C2×C4⋊C8 | 1 | 1 | yes | characteristic |
| 662 | C82 | C2×C4⋊C8 | 1 | 1 | yes | characteristic |
| 663 | C2×#41 | — | 2 | 2 | no | — |
| 664 | #135 | — | 2 | 2 | no | — |
| 665 | #135 | — | 2 | 2 | no | — |
| 666 | #135 | C2×#334 | 1 | 4 | yes | — |
| 667 | #135 | C2×#365 | 1 | 4 | yes | — |
| 668 | C2×Q16 | C2×#365 | 1 | 2 | yes | — |
| 669 | C2×SD16 | — | 2 | 2 | no | — |
| 670 | C2×D8 | C2×#365 | 1 | 2 | yes | — |
| 671 | #131 | — | 2 | 4 | no | — |
| 672 | #131 | — | 2 | 4 | no | — |
| 673 | #131 | — | 4 | 4 | no | — |
| 674 | #131 | — | 4 | 2 | no | — |
| 675 | #131 | — | 4 | 2 | no | — |
| 676 | #131 | — | 8 | 2 | no | — |
| 677 | C2×M16 | — | 2 | 2 | no | — |
| 678 | C2×M16 | — | 2 | 2 | no | — |
| 679 | C2×M16 | — | 4 | 2 | no | — |
| 680 | C2×M16 | — | 4 | 2 | no | — |
| 681 | C22×C8 | — | 2 | 2 | no | — |
| 682 | C22×C8 | — | 4 | 2 | no | — |
| 683 | C22×C8 | — | 4 | 2 | no | — |
| 684 | C22×C8 | — | 4 | 1 | no | — |
| 685 | C22×C8 | — | 16 | 2 | no | — |
| 686 | C22×C8 | — | 32 | 2 | no | — |
| 687 | C22×C8 | D4×C4⋊C4 | 1 | 1 | yes | characteristic |
| 688 | C22×C8 | C22×#106 | 1 | 1 | yes | characteristic |
| 689 | C22×C8 | D4×SD16 | 1 | 1 | yes | characteristic |
| 690 | C22×C8 | #3335 | 1 | 1 | yes | characteristic |
| 691 | C4×Q8 | — | 4 | 2 | no | — |
| 692 | C4×D4 | — | 4 | 2 | no | — |
| 693 | C4×D4 | — | 8 | 2 | no | — |
| 694 | #117 | — | 2 | 2 | no | — |
| 695 | #117 | — | 4 | 2 | no | — |
| 696 | C2×C42 | — | 4 | 2 | no | — |
| 697 | C2×C42 | — | 4 | 1 | no | — |
| 698 | C2×C42 | #2912 | 1 | 1 | yes | characteristic |
| 699 | C2×C42 | D4×SD16 | 1 | 1 | yes | characteristic |
| 700 | C2×C42 | #3335 | 1 | 1 | yes | characteristic |
| 701 | Q32 | #1368 | 1 | 2 | yes | — |
| 702 | Q32 | #1368 | 1 | 2 | yes | — |
| 703 | SD32 | #1368 | 1 | 4 | yes | — |
| 704 | SD32 | #1368 | 1 | 4 | yes | — |
| 705 | D16 | #1368 | 1 | 2 | yes | — |
| 706 | D16 | #1368 | 1 | 2 | yes | — |
| 707 | M32 | — | 2 | 4 | no | — |
| 708 | M32 | — | 4 | 2 | no | — |
| 709 | M32 | — | 4 | 4 | no | — |
| 710 | M32 | — | 4 | 4 | no | — |
| 711 | M32 | — | 4 | 2 | no | — |
| 712 | M32 | — | 4 | 2 | no | — |
| 713 | M32 | — | 8 | 4 | no | — |
| 714 | M32 | — | 8 | 2 | no | — |
| 715 | M32 | — | 8 | 2 | no | — |
| 716 | M32 | — | 16 | 2 | no | — |
| 717 | M32 | — | 16 | 1 | no | — |
| 718 | M32 | — | 16 | 1 | no | — |
| 719 | M32 | — | 16 | 2 | no | — |
| 720 | M32 | — | 32 | 4 | no | — |
| 721 | C2×C16 | — | 2 | 1 | no | — |
| 722 | C2×C16 | — | 2 | 1 | no | — |
| 723 | C2×C16 | — | 2 | 1 | no | — |
| 724 | C2×C16 | — | 2 | 1 | no | — |
| 725 | C2×C16 | — | 2 | 1 | no | — |
| 726 | C2×C16 | — | 2 | 1 | no | — |
| 727 | C2×C16 | — | 2 | 1 | no | — |
| 728 | C2×C16 | — | 2 | 1 | no | — |
| 729 | C2×C16 | — | 2 | 1 | no | — |
| 730 | C2×C16 | — | 2 | 1 | no | — |
| 731 | C2×C16 | — | 2 | 1 | no | — |
| 732 | C2×C16 | — | 2 | 1 | no | — |
| 733 | C2×C16 | — | 2 | 1 | no | — |
| 734 | C2×C16 | — | 2 | 1 | no | — |
| 735 | C2×C16 | — | 2 | 1 | no | — |
| 736 | C2×C16 | — | 4 | 2 | no | — |
| 737 | C2×C16 | — | 4 | 4 | no | — |
| 738 | C2×C16 | — | 4 | 4 | no | — |
| 739 | C2×C16 | — | 4 | 2 | no | — |
| 740 | C2×C16 | — | 8 | 4 | no | — |
| 741 | C2×C16 | — | 8 | 2 | no | — |
| 742 | C2×C16 | — | 16 | 1 | no | — |
| 743 | C2×C16 | — | 16 | 2 | no | — |
| 744 | C2×C16 | — | 32 | 4 | no | — |
| 745 | C2×C16 | C2×#334 | 1 | 1 | yes | characteristic |
| 746 | C2×C16 | C2×#334 | 1 | 1 | yes | characteristic |
| 747 | C2×C16 | C2×#334 | 1 | 1 | yes | characteristic |
| 748 | C2×C16 | C2×#334 | 1 | 1 | yes | characteristic |
| 749 | C2×C16 | C2×#365 | 1 | 1 | yes | characteristic |
| 750 | C2×C16 | C2×#365 | 1 | 1 | yes | characteristic |
| 751 | C2×C16 | C2×#365 | 1 | 1 | yes | characteristic |
| 752 | C2×C16 | C2×#365 | 1 | 1 | yes | characteristic |
| 753 | C2×C16 | C2×C8×D4 | 1 | 1 | yes | characteristic |
| 754 | C2×C16 | D4×M16 | 1 | 1 | yes | characteristic |
| 755 | C2×C16 | C2×#442 | 1 | 1 | yes | characteristic |
| 756 | C2×C16 | #2952 | 1 | 1 | yes | characteristic |
| 757 | C2×C16 | C2×#444 | 1 | 1 | yes | characteristic |
| 758 | C2×C16 | #2957 | 1 | 1 | yes | characteristic |
| 759 | C2×C16 | #2988 | 1 | 1 | yes | characteristic |
| 760 | C2×C16 | #2990 | 1 | 1 | yes | characteristic |
| 761 | C2×C16 | #3384 | 1 | 2 | yes | — |
| 762 | #108 | — | 2 | 2 | no | — |
| 763 | #108 | — | 2 | 2 | no | — |
| 764 | #108 | — | 2 | 2 | no | — |
| 765 | #108 | C2×#334 | 1 | 4 | yes | — |
| 766 | #107 | — | 2 | 2 | no | — |
| 767 | #106 | — | 2 | 2 | no | — |
| 768 | C4⋊C8 | — | 8 | 2 | no | — |
| 769 | C4⋊C8 | — | 16 | 2 | no | — |
| 770 | C4⋊C8 | — | 16 | 1 | no | — |
| 771 | C4⋊C8 | — | 16 | 2 | no | — |
| 772 | C4⋊C8 | — | 32 | 2 | no | — |
| 773 | C4⋊C8 | — | 32 | 4 | no | — |
| 774 | #104 | — | 2 | 4 | no | — |
| 775 | #104 | — | 2 | 4 | no | — |
| 776 | #104 | — | 4 | 4 | no | — |
| 777 | #103 | — | 4 | 2 | no | — |
| 778 | #102 | — | 4 | 2 | no | — |
| 779 | C22⋊C8 | — | 8 | 2 | no | — |
| 780 | C22⋊C8 | — | 16 | 1 | no | — |
| 781 | C22⋊C8 | — | 32 | 2 | no | — |
| 782 | #97 | — | 4 | 2 | no | — |
| 783 | #97 | — | 4 | 2 | no | — |
| 784 | #97 | — | 4 | 2 | no | — |
| 785 | C4×C8 | — | 2 | 2 | no | — |
| 786 | C4×C8 | — | 2 | 1 | no | — |
| 787 | C4×C8 | — | 2 | 1 | no | — |
| 788 | C4×C8 | — | 2 | 1 | no | — |
| 789 | C4×C8 | — | 2 | 1 | no | — |
| 790 | C4×C8 | — | 2 | 1 | no | — |
| 791 | C4×C8 | — | 2 | 1 | no | — |
| 792 | C4×C8 | — | 2 | 1 | no | — |
| 793 | C4×C8 | — | 2 | 1 | no | — |
| 794 | C4×C8 | — | 4 | 1 | no | — |
| 795 | C4×C8 | — | 4 | 1 | no | — |
| 796 | C4×C8 | — | 4 | 2 | no | — |
| 797 | C4×C8 | — | 4 | 2 | no | — |
| 798 | C4×C8 | — | 4 | 1 | no | — |
| 799 | C4×C8 | — | 4 | 2 | no | — |
| 800 | C4×C8 | — | 8 | 2 | no | — |
| 801 | C4×C8 | — | 8 | 4 | no | — |
| 802 | C4×C8 | — | 16 | 1 | no | — |
| 803 | C4×C8 | — | 32 | 2 | no | — |
| 804 | C4×C8 | C22×C4⋊C8 | 1 | 1 | yes | characteristic |
| 805 | C4×C8 | #2906 | 1 | 1 | yes | characteristic |
| 806 | C4×C8 | C22×#108 | 1 | 1 | yes | characteristic |
| 807 | C4×C8 | #2916 | 1 | 1 | yes | characteristic |
| 808 | C4×C8 | #3272 | 1 | 2 | yes | — |
| 809 | C4×C8 | #3291 | 1 | 2 | yes | — |
| 810 | C32 | — | 2 | 4 | no | — |
| 811 | C32 | — | 2 | 2 | no | — |
| 812 | C32 | — | 2 | 2 | no | — |
| 813 | C32 | — | 4 | 2 | no | — |
| 814 | C32 | — | 4 | 1 | no | — |
| 815 | C32 | — | 4 | 4 | no | — |
| 816 | C32 | — | 8 | 2 | no | — |
| 817 | C32 | #1580 | 1 | 4 | yes | — |
| 818 | #41 | — | 2 | 4 | no | — |
| 819 | #41 | — | 2 | 4 | no | — |
| 820 | #41 | — | 4 | 2 | no | — |
| 821 | #41 | — | 4 | 2 | no | — |
| 822 | C2×Q8 | — | 2 | 2 | no | — |
| 823 | C2×D4 | — | 2 | 2 | no | — |
| 824 | C2×D4 | — | 4 | 2 | no | — |
| 825 | C22×C4 | — | 2 | 1 | no | — |
| 826 | C22×C4 | — | 2 | 1 | no | — |
| 827 | C22×C4 | — | 2 | 1 | no | — |
| 828 | C22×C4 | — | 4 | 2 | no | — |
| 829 | C22×C4 | — | 8 | 2 | no | — |
| 830 | C22×C4 | D4×#106 | 1 | 1 | yes | characteristic |
| 831 | Q16 | — | 2 | 2 | no | — |
| 832 | Q16 | C2×#1368 | 1 | 4 | yes | — |
| 833 | SD16 | — | 2 | 4 | no | — |
| 834 | SD16 | — | 2 | 4 | no | — |
| 835 | D8 | — | 2 | 2 | no | — |
| 836 | D8 | C2×#1368 | 1 | 4 | yes | — |
| 837 | M16 | — | 2 | 4 | no | — |
| 838 | M16 | — | 4 | 2 | no | — |
| 839 | M16 | — | 4 | 4 | no | — |
| 840 | M16 | — | 4 | 4 | no | — |
| 841 | M16 | — | 4 | 2 | no | — |
| 842 | M16 | — | 4 | 2 | no | — |
| 843 | M16 | — | 8 | 4 | no | — |
| 844 | C2×C8 | — | 2 | 2 | no | — |
| 845 | C2×C8 | — | 2 | 1 | no | — |
| 846 | C2×C8 | — | 2 | 1 | no | — |
| 847 | C2×C8 | — | 2 | 2 | no | — |
| 848 | C2×C8 | — | 2 | 1 | no | — |
| 849 | C2×C8 | — | 2 | 1 | no | — |
| 850 | C2×C8 | — | 2 | 1 | no | — |
| 851 | C2×C8 | — | 4 | 4 | no | — |
| 852 | C2×C8 | — | 4 | 2 | no | — |
| 853 | C2×C8 | — | 4 | 4 | no | — |
| 854 | C2×C8 | — | 4 | 4 | no | — |
| 855 | C2×C8 | — | 4 | 2 | no | — |
| 856 | C2×C8 | — | 8 | 4 | no | — |
| 857 | C2×C8 | — | 8 | 1 | no | — |
| 858 | C2×C8 | — | 8 | 2 | no | — |
| 859 | C2×C8 | — | 16 | 2 | no | — |
| 860 | C2×C8 | — | 32 | 2 | no | — |
| 861 | C2×C8 | — | 32 | 1 | no | — |
| 862 | C2×C8 | — | 64 | 2 | no | — |
| 863 | C2×C8 | — | 128 | 2 | no | — |
| 864 | C2×C8 | C22×#334 | 1 | 1 | yes | characteristic |
| 865 | C2×C8 | #17826 | 1 | 1 | yes | characteristic |
| 866 | C2×C8 | #19890 | 1 | 2 | yes | — |
| 867 | C2×C8 | D4×C4⋊C8 | 1 | 1 | yes | characteristic |
| 868 | C2×C8 | D4×#108 | 1 | 1 | yes | characteristic |
| 869 | C2×C8 | #22670 | 1 | 1 | yes | characteristic |
| 870 | C2×C8 | #22686 | 1 | 1 | yes | characteristic |
| 871 | C2×C8 | #22689 | 1 | 1 | yes | characteristic |
| 872 | C2×C8 | #22694 | 1 | 1 | yes | characteristic |
| 873 | C2×C8 | C22×#365 | 1 | 1 | yes | characteristic |
| 874 | C2×C8 | C22×#365 | 1 | 1 | yes | characteristic |
| 875 | C2×C8 | #33404 | 1 | 1 | yes | characteristic |
| 876 | C2×C8 | #33404 | 1 | 1 | yes | characteristic |
| 877 | C4⋊C4 | — | 4 | 2 | no | — |
| 878 | C4⋊C4 | — | 8 | 2 | no | — |
| 879 | C22⋊C4 | — | 4 | 2 | no | — |
| 880 | C22⋊C4 | — | 8 | 2 | no | — |
| 881 | C42 | — | 2 | 1 | no | — |
| 882 | C42 | — | 2 | 1 | no | — |
| 883 | C42 | — | 2 | 1 | no | — |
| 884 | C42 | — | 2 | 1 | no | — |
| 885 | C42 | — | 4 | 2 | no | — |
| 886 | C42 | — | 8 | 2 | no | — |
| 887 | C42 | — | 8 | 2 | no | — |
| 888 | C42 | #17788 | 1 | 1 | yes | characteristic |
| 889 | C42 | #17834 | 1 | 1 | yes | characteristic |
| 890 | C42 | #19890 | 1 | 2 | yes | — |
| 891 | C16 | — | 2 | 2 | no | — |
| 892 | C16 | — | 2 | 1 | no | — |
| 893 | C16 | — | 2 | 1 | no | — |
| 894 | C16 | — | 2 | 1 | no | — |
| 895 | C16 | — | 2 | 1 | no | — |
| 896 | C16 | — | 4 | 1 | no | — |
| 897 | C16 | — | 4 | 1 | no | — |
| 898 | C16 | — | 4 | 4 | no | — |
| 899 | C16 | — | 4 | 1 | no | — |
| 900 | C16 | — | 8 | 2 | no | — |
| 901 | C16 | — | 16 | 2 | no | — |
| 902 | C16 | — | 32 | 2 | no | — |
| 903 | C16 | — | 32 | 1 | no | — |
| 904 | C16 | C2×#1368 | 1 | 1 | yes | characteristic |
| 905 | C16 | C2×#1368 | 1 | 1 | yes | characteristic |
| 906 | C16 | C2×#1368 | 1 | 1 | yes | characteristic |
| 907 | C16 | C2×#1368 | 1 | 1 | yes | characteristic |
| 908 | C16 | C2×#1580 | 1 | 1 | yes | characteristic |
| 909 | C16 | #17858 | 1 | 1 | yes | characteristic |
| 910 | C16 | #18044 | 1 | 1 | yes | characteristic |
| 911 | C16 | #18065 | 1 | 1 | yes | characteristic |
| 912 | C23 | — | 4 | 2 | no | — |
| 913 | C23 | #497838 | 1 | 1 | yes | characteristic |
| 914 | Q8 | — | 2 | 4 | no | — |
| 915 | Q8 | — | 4 | 2 | no | — |
| 916 | D4 | — | 2 | 4 | no | — |
| 917 | D4 | — | 4 | 4 | no | — |
| 918 | D4 | — | 4 | 4 | no | — |
| 919 | D4 | — | 4 | 2 | no | — |
| 920 | C2×C4 | — | 2 | 1 | no | — |
| 921 | C2×C4 | — | 2 | 2 | no | — |
| 922 | C2×C4 | — | 2 | 1 | no | — |
| 923 | C2×C4 | — | 4 | 2 | no | — |
| 924 | C2×C4 | — | 4 | 2 | no | — |
| 925 | C2×C4 | — | 4 | 4 | no | — |
| 926 | C2×C4 | — | 4 | 4 | no | — |
| 927 | C2×C4 | — | 4 | 1 | no | — |
| 928 | C2×C4 | — | 8 | 1 | no | — |
| 929 | C2×C4 | — | 8 | 1 | no | — |
| 930 | C2×C4 | — | 8 | 2 | no | — |
| 931 | C2×C4 | — | 32 | 2 | no | — |
| 932 | C2×C4 | D4×#334 | 1 | 1 | yes | characteristic |
| 933 | C2×C4 | #225516 | 1 | 1 | yes | characteristic |
| 934 | C2×C4 | #225708 | 1 | 1 | yes | characteristic |
| 935 | C2×C4 | D4×#365 | 1 | 1 | yes | characteristic |
| 936 | C2×C4 | D4×#365 | 1 | 1 | yes | characteristic |
| 937 | C2×C4 | #497838 | 1 | 1 | yes | characteristic |
| 938 | C8 | — | 2 | 4 | no | — |
| 939 | C8 | — | 2 | 2 | no | — |
| 940 | C8 | — | 4 | 2 | no | — |
| 941 | C8 | — | 4 | 1 | no | — |
| 942 | C8 | — | 4 | 4 | no | — |
| 943 | C8 | — | 8 | 2 | no | — |
| 944 | C8 | — | 16 | 1 | no | — |
| 945 | C8 | — | 32 | 2 | no | — |
| 946 | C8 | — | 64 | 2 | no | — |
| 947 | C8 | — | 64 | 1 | no | — |
| 948 | C8 | #225430 | 1 | 1 | yes | characteristic |
| 949 | C8 | #225494 | 1 | 1 | yes | characteristic |
| 950 | C8 | #225740 | 1 | 1 | yes | characteristic |
| 951 | C8 | #225772 | 1 | 1 | yes | characteristic |
| 952 | C8 | C22×#1368 | 1 | 1 | yes | characteristic |
| 953 | C8 | #483326 | 1 | 1 | yes | characteristic |
| 954 | C8 | #483463 | 1 | 1 | yes | characteristic |
| 955 | C8 | #483463 | 1 | 1 | yes | characteristic |
| 956 | C22 | — | 4 | 1 | no | — |
| 957 | C22 | — | 4 | 4 | no | — |
| 958 | C22 | — | 16 | 2 | no | — |
| 959 | C22 | #72216392 | 1 | 1 | yes | characteristic |
| 960 | C22 | #72227118 | 1 | 1 | yes | characteristic |
| 961 | C22 | #72227119 | 1 | 1 | yes | characteristic |
| 962 | C4 | — | 2 | 2 | no | — |
| 963 | C4 | — | 4 | 1 | no | — |
| 964 | C4 | — | 4 | 2 | no | — |
| 965 | C4 | — | 4 | 4 | no | — |
| 966 | C4 | — | 8 | 1 | no | — |
| 967 | C4 | — | 16 | 2 | no | — |
| 968 | C4 | #72216394 | 1 | 1 | yes | characteristic |
| 969 | C4 | D4×#1368 | 1 | 1 | yes | characteristic |
| 970 | C4 | #72227118 | 1 | 1 | yes | characteristic |
| 971 | C4 | #72227119 | 1 | 1 | yes | characteristic |
| 972 | C2 | — | 2 | 1 | no | — |
| 973 | C2 | — | 2 | 1 | no | — |
| 974 | C2 | — | 2 | 1 | no | — |
| 975 | C2 | — | 8 | 4 | no | — |
| 976 | C2 | #72227120 | 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