Order 15616.
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. #21460722 | C2 | direct (N × H) |
| 7. #16840732 | C4 | semidirect |
| 10. C2×C22⋊#92420 | C4 | semidirect |
| 26. C22⋊#92420 | C2×C4 | semidirect |
| 203. C2×C61 | #1306 | semidirect |
| 220. C61 | C2×#1306 | semidirect |
| 402. C2 | #21460722 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16840732 | 2 |
| #21460722 | 2 |
| C2×#16839623 | 2 |
| C2×#1306 | 61 |