Order 3328.
1174 conjugacy classes of subgroups.
The subgroup lattice has 356 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 13. C2×C13×C4⋊C8 | C4 | semidirect |
| 18. C2×C4⋊#1055 | C4 | semidirect |
| 43. C2×C4×Dic13 | C8 | semidirect |
| 146. C2×Dic13 | C4⋊C8 | semidirect |
| 160. C2×C4⋊C8 | Dic13 | semidirect |
| 181. C4×C13 | #336 | semidirect |
| 277. C13 | #10832 | semidirect |
| 340. C4 | #11718142 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C4⋊#1055 | 2 |
| C2×C42×Dic13 | 2 |
| C2×#11718142 | 2 |
| C22×C13×C4⋊C8 | 2 |
| #10832 | 13 |