Order 3328.
1966 conjugacy classes of subgroups.
The subgroup lattice has 368 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13120075 | C2 | direct (N × H) |
| 244. C2×C13 | #2571 | semidirect |
| 296. C13 | C2×#2571 | semidirect |
| 359. C2 | #13120075 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13120075 | 2 |
| C2×#11718321 | 2 |
| C2×#11718589 | 2 |
| C2×#11718634 | 2 |
| C2×#11718596 | 2 |
| C2×#11718597 | 2 |
| C2×#11718638 | 2 |
| C2×C4×C4⋊Dic13 | 2 |
| C2×C4×C13×C4⋊C4 | 2 |
| C2×#2571 | 13 |