Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
234 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 65 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 |
|---|---|---|
| 3. #14528401 | C2 | semidirect |
| 5. #14526853 | C2 | semidirect |
| 6. #14526840 | C2 | semidirect |
| 7. C17×#1364 | C2 | semidirect |
| 64. D136 | Q16 | semidirect |
| 97. #1364 | D17 | semidirect |
| 150. C17 | #12445 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14530922 | 2 |
| #14530918 | 2 |
| #14528401 | 2 |
| #14527578 | 2 |
| #14526853 | 2 |
| #14526840 | 2 |
| C17×#1364 | 2 |
| #12445 | 17 |