Order 3328.
1966 conjugacy classes of subgroups.
The subgroup lattice has 388 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13120493 | C2 | direct (N × H) |
| 269. C2×C13 | #2606 | semidirect |
| 321. C13 | C2×#2606 | semidirect |
| 381. C2 | #13120493 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13120493 | 2 |
| C2×#11718318 | 2 |
| C2×#11718322 | 2 |
| C2×#11718589 | 2 |
| C2×#11718308 | 2 |
| C2×#11718594 | 2 |
| C2×#11718315 | 2 |
| C2×#11718598 | 2 |
| C2×C4×C4⋊Dic13 | 2 |
| C2×C13×#376 | 2 |
| C2×#2606 | 13 |