Order 3328.
1246 conjugacy classes of subgroups.
The subgroup lattice has 348 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 4. #13115552 | C2 | direct (N × H) |
| 38. C2×C4⋊Dic13 | C8 | semidirect |
| 91. C4⋊Dic13 | C2×C8 | semidirect |
| 120. C2×C4×C13 | C4⋊C8 | semidirect |
| 182. C4×C13 | C2×C4⋊C8 | semidirect |
| 222. C2×C13 | #1939 | semidirect |
| 275. C13 | C2×#1939 | semidirect |
| 295. C2×C4 | #88054 | semidirect |
| 334. C4 | C2×#88054 | semidirect |
| 339. C2 | #13115552 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88054 | 2 |
| C22×C4×#1055 | 2 |
| C2×C4×C4⋊Dic13 | 2 |
| #13115552 | 2 |
| C2×#11718142 | 2 |
| C22×C13×C4⋊C8 | 2 |
| C2×#1939 | 13 |