Order 3328.
942 conjugacy classes of subgroups.
The subgroup lattice has 406 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #13129739 | C2 | direct (N × H) |
| 10. #11719169 | C4 | semidirect |
| 13. C2×C22⋊#1057 | C4 | semidirect |
| 47. C22⋊#1057 | C2×C4 | semidirect |
| 249. C2×C13 | #1306 | semidirect |
| 307. C13 | C2×#1306 | semidirect |
| 402. C2 | #13129739 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719169 | 2 |
| #13129739 | 2 |
| C2×#11718604 | 2 |
| C2×#1306 | 13 |