Order 3328.
1854 conjugacy classes of subgroups.
The subgroup lattice has 366 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C22×C4⋊#1057 | C2 | semidirect |
| 4. #13130779 | C2 | direct (N × H) |
| 5. C2×#11718290 | C2 | semidirect |
| 20. C2×C4⋊#1057 | C22 | semidirect |
| 24. #11718290 | C22 | semidirect |
| 49. C2×C13×C22⋊C4 | C8 | semidirect |
| 70. C22×C4×C13 | C2×C8 | semidirect |
| 105. C13×C22⋊C4 | C2×C8 | semidirect |
| 122. C23×C13 | C4⋊C8 | semidirect |
| 135. C2×C4×C13 | C22×C8 | semidirect |
| 184. C22×C13 | C2×C4⋊C8 | semidirect |
| 226. C2×C22⋊C4 | #1057 | semidirect |
| 236. C2×C13 | #1850 | semidirect |
| 273. C22×C4 | C2×#1057 | semidirect |
| 287. C22⋊C4 | C2×#1057 | semidirect |
| 291. C13 | C2×#1850 | semidirect |
| 298. C23 | C4⋊#1057 | semidirect |
| 331. C2×C4 | C22×#1057 | semidirect |
| 344. C22 | C2×C4⋊#1057 | semidirect |
| 359. C2 | #13130779 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C24×#1057 | 2 |
| C22×C4⋊#1057 | 2 |
| C22×C22⋊#1057 | 2 |
| #13130779 | 2 |
| C2×#11718290 | 2 |
| C2×C22⋊C4×Dic13 | 2 |
| C2×#1850 | 13 |