Order 12032.
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. #13093943 | Q8 | semidirect |
| 216. C47 | #22517 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×#10625329 | 2 |
| #20244382 | 2 |
| #20244378 | 2 |
| #20243384 | 2 |
| C4×#13093943 | 2 |
| C2×C47×#557 | 2 |
| #22517 | 47 |