Order 2816.
526 conjugacy classes of subgroups.
The subgroup lattice has 352 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. C11⋊#1308 | C2 | direct (N × H) |
| 234. C2×C11 | #1308 | semidirect |
| 282. C11 | C2×#1308 | semidirect |
| 347. C2 | C11⋊#1308 | 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 |
| C11⋊#1308 | 2 |
| C2×C11×#432 | 2 |
| C2×#1308 | 11 |