Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
378 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 378 conjugacy classes of subgroups — too many to draw. Only its 95 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. C4×C16×D17 | C2 | semidirect |
| 3. #14527541 | C2 | semidirect |
| 4. #14526746 | C2 | semidirect |
| 5. #14526745 | C2 | semidirect |
| 6. #14526744 | C2 | semidirect |
| 7. C17×#1331 | C2 | semidirect |
| 146. #1331 | D17 | semidirect |
| 226. C17 | #11671 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539360 | 2 |
| C4×C16×D17 | 2 |
| #14527541 | 2 |
| #14526746 | 2 |
| #14526745 | 2 |
| #14526744 | 2 |
| C17×#1331 | 2 |
| #11671 | 17 |