Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
480 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 83 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #14529926 | C2 | semidirect |
| 4. #14529886 | C2 | semidirect |
| 5. #14526609 | C2 | semidirect |
| 6. #14526609 | C2 | semidirect |
| 65. C2×D4×C17 | Q16 | semidirect |
| 265. C17 | #7782 | semidirect |
| 284. C2×D4 | Dic68 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14536730 | 2 |
| #14529926 | 2 |
| #14529920 | 2 |
| #14529886 | 2 |
| #14526609 | 2 |
| C17×#1270 | 2 |
| #7782 | 17 |