Order 18688.
1050 conjugacy classes of subgroups.
The subgroup lattice has 406 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 13. C2×#14556591 | C4 | semidirect |
| 14. C2×#14556582 | C4 | semidirect |
| 21. C2×C4⋊Q8×C73 | C4 | semidirect |
| 26. C2×#11924038 | Q8 | semidirect |
| 31. C2×C4×#64408 | Q8 | semidirect |
| 207. C73 | #11386 | semidirect |
| 211. C2×C4⋊Q8 | #64408 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17989457 | 2 |
| #22625595 | 2 |
| C4×(C2×#64408)⋊C4 | 2 |
| C2×#17989142 | 2 |
| #11386 | 73 |