Order 2816.
1206 conjugacy classes of subgroups.
The subgroup lattice has 344 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #13068469 | C2 | semidirect |
| 3. C4×C4⋊(C11⋊C8) | C2 | semidirect |
| 6. #13068365 | C2 | semidirect |
| 7. C4×#66867 | C2 | semidirect |
| 21. #10622539 | C4 | direct (N × H) |
| 58. C4⋊(C11⋊C8) | C2×C4 | semidirect |
| 60. #66867 | C2×C4 | semidirect |
| 191. C4×C11 | #432 | semidirect |
| 278. C11 | C4×#432 | semidirect |
| 335. C4 | #10622539 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622539 | 2 |
| #13068469 | 2 |
| C4×C4⋊(C11⋊C8) | 2 |
| #13068378 | 2 |
| C4×C22⋊(C11⋊C8) | 2 |
| #13068365 | 2 |
| C4×#66867 | 2 |
| C2×C43×C11 | 2 |
| C4×#432 | 11 |