Order 3328.
1154 conjugacy classes of subgroups.
The subgroup lattice has 346 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C22×#88052 | C2 | semidirect |
| 2. #13116457 | C2 | direct (N × H) |
| 3. C2×#11718145 | C2 | semidirect |
| 18. C2×#88052 | C22 | semidirect |
| 20. #11718145 | C22 | semidirect |
| 230. C2×C13 | #2115 | semidirect |
| 283. C13 | C2×#2115 | semidirect |
| 343. C2 | #13116457 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88052 | 2 |
| #13116457 | 2 |
| C2×#11718145 | 2 |
| C22×C13×#131 | 2 |
| C2×#2115 | 13 |