Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
364 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 1. #14539307 | C2 | semidirect |
| 5. #14526898 | C2 | semidirect |
| 6. #14526863 | C2 | semidirect |
| 7. C17×#1389 | C2 | semidirect |
| 30. C2×Dic68 | Q8 | semidirect |
| 35. C2×D136 | Q8 | semidirect |
| 135. #1389 | D17 | semidirect |
| 207. C17 | #13373 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539307 | 2 |
| #14530521 | 2 |
| #14530519 | 2 |
| #14529675 | 2 |
| #14526898 | 2 |
| #14526863 | 2 |
| C17×#1389 | 2 |
| #13373 | 17 |