Order 12032.
866 conjugacy classes of subgroups.
The subgroup lattice has 400 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C22×#13093960 | C2 | semidirect |
| 3. C2×#15688895 | C2 | semidirect |
| 4. #20243105 | C2 | semidirect |
| 19. C47×#408 | C4 | semidirect |
| 216. #408 | Dic47 | semidirect |
| 220. C47 | #11108 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13093960 | 2 |
| C2×#15689140 | 2 |
| C2×#15688895 | 2 |
| #20243105 | 2 |
| C2×C47×#408 | 2 |
| #11108 | 47 |