Order 4352.
588 conjugacy classes of subgroups.
The subgroup lattice has 398 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 53. C4×Dic34 | C8 | semidirect |
| 164. Dic34 | C4⋊C8 | semidirect |
| 182. C4×C17 | Q8⋊C8 | semidirect |
| 262. C17 | #8564 | semidirect |
| 385. C4 | #11763659 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544716 | 2 |
| C4×C4⋊#3624 | 2 |
| C2×#11763659 | 2 |
| #14543620 | 2 |
| C4×#10587573 | 2 |
| #8564 | 17 |