Order 17152.
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. #14523962 | Q8 | semidirect |
| 191. C67 | #22517 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×#11761612 | 2 |
| #22561203 | 2 |
| #22561199 | 2 |
| #22560205 | 2 |
| C4×#14523962 | 2 |
| C2×#557×C67 | 2 |
| #22517 | 67 |