Order 3328.
1966 conjugacy classes of subgroups.
The subgroup lattice has 392 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13120074 | C2 | direct (N × H) |
| 272. C2×C13 | #2571 | semidirect |
| 325. C13 | C2×#2571 | semidirect |
| 385. C2 | #13120074 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13120074 | 2 |
| C2×#11718321 | 2 |
| C2×#11718647 | 2 |
| C2×#11718308 | 2 |
| C2×#11718633 | 2 |
| C2×#11718637 | 2 |
| C2×#11718311 | 2 |
| C2×#11718310 | 2 |
| C2×C13×#400 | 2 |
| C2×#2571 | 13 |