Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
338 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 69 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. #14541636 | C2 | semidirect |
| 3. #14528141 | C2 | semidirect |
| 4. #14526839 | C2 | semidirect |
| 5. #14526764 | C2 | semidirect |
| 6. #14526746 | C2 | semidirect |
| 7. C17×#2240 | C2 | semidirect |
| 83. D136 | SD16 | semidirect |
| 110. Dic34 | D16 | semidirect |
| 117. #2240 | D17 | semidirect |
| 189. C17 | #12352 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14541636 | 2 |
| #14530816 | 2 |
| #14528141 | 2 |
| #14526839 | 2 |
| #14526764 | 2 |
| #14526746 | 2 |
| C17×#2240 | 2 |
| #12352 | 17 |