Order 18176.
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. #14556047 | Q8 | semidirect |
| 191. C71 | #22517 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×#11765849 | 2 |
| #22589334 | 2 |
| #22589330 | 2 |
| #22588336 | 2 |
| C4×#14556047 | 2 |
| C2×#557×C71 | 2 |
| #22517 | 71 |