Order 12032.
686 conjugacy classes of subgroups.
The subgroup lattice has 386 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 5. C2×#13094024 | C4 | semidirect |
| 9. #15689029 | C4 | semidirect |
| 12. #15688993 | C4 | semidirect |
| 179. C4×C47 | #328 | semidirect |
| 213. C47 | #9679 | semidirect |
| 373. C4 | #15688859 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20251740 | 2 |
| C4×C22⋊(C47⋊C8) | 2 |
| C2×#15688859 | 2 |
| C47×C4⋊#95 | 2 |
| #9679 | 47 |