Order 11008.
938 conjugacy classes of subgroups.
The subgroup lattice has 366 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 43. #13063244 | Q8 | semidirect |
| 216. C43 | #22517 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×#10621877 | 2 |
| #19135589 | 2 |
| #19135585 | 2 |
| #19134591 | 2 |
| C4×#13063244 | 2 |
| C2×C43×#557 | 2 |
| #22517 | 43 |