Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
550 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 550 conjugacy classes of subgroups — too many to draw. Only its 97 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. #14538788 | C2 | semidirect |
| 3. #14529582 | C2 | semidirect |
| 4. #14527187 | C2 | semidirect |
| 5. #14527183 | C2 | semidirect |
| 6. #14526615 | C2 | semidirect |
| 7. C17×#3135 | C2 | semidirect |
| 177. #3135 | D17 | semidirect |
| 288. C17 | #10033 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538788 | 2 |
| #14538780 | 2 |
| #14529582 | 2 |
| #14527187 | 2 |
| #14527183 | 2 |
| #14526615 | 2 |
| C17×#3135 | 2 |
| #10033 | 17 |