Order 3328.
2586 conjugacy classes of subgroups.
The subgroup lattice has 384 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #13131498 | C2 | semidirect |
| 3. #13131497 | C2 | semidirect |
| 4. D13⋊#430 | C2 | semidirect |
| 5. C2×D13⋊#108 | C2 | semidirect |
| 23. #11719100 | C22 | semidirect |
| 26. D13⋊#108 | C22 | semidirect |
| 27. D13⋊#108 | C22 | semidirect |
| 28. C2×#88104 | C22 | semidirect |
| 29. C2×#88103 | C22 | semidirect |
| 267. D13 | #2916 | semidirect |
| 324. C13 | C2×#2916 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13⋊#568 | 2 |
| #13131498 | 2 |
| #13131497 | 2 |
| D13⋊#430 | 2 |
| C2×D13⋊#108 | 2 |
| C2×D13×#131 | 2 |
| C2×#2916 | 13 |