Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
598 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 598 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 |
|---|---|---|
| 1. #14538816 | C2 | semidirect |
| 3. #14532068 | C2 | semidirect |
| 4. #14529615 | C2 | semidirect |
| 5. #14527212 | C2 | semidirect |
| 6. #14526612 | C2 | semidirect |
| 7. C17×#1486 | C2 | semidirect |
| 192. #1486 | D17 | semidirect |
| 299. C17 | #10013 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538816 | 2 |
| #14538784 | 2 |
| #14532068 | 2 |
| #14529615 | 2 |
| #14527212 | 2 |
| #14526612 | 2 |
| C17×#1486 | 2 |
| #10013 | 17 |