Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
258 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 71 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. #14527555 | C2 | semidirect |
| 4. #14526694 | C2 | semidirect |
| 5. #14526653 | C2 | semidirect |
| 6. #14526646 | C2 | semidirect |
| 168. C17 | #10647 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14527555 | 2 |
| #14527506 | 2 |
| #14527479 | 2 |
| #14526694 | 2 |
| #14526653 | 2 |
| #14526646 | 2 |
| C17×#1496 | 2 |
| #10647 | 17 |