Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
328 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 328 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 |
|---|---|---|
| 3. C2×#11762586 | C2 | semidirect |
| 5. #14529520 | C2 | semidirect |
| 6. #14526894 | C2 | semidirect |
| 7. C17×#1383 | C2 | semidirect |
| 16. #11762614 | C4 | semidirect |
| 17. #11762611 | C4 | semidirect |
| 133. #1383 | D17 | semidirect |
| 203. C17 | #13153 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11762618 | 2 |
| #14530497 | 2 |
| C2×#11762586 | 2 |
| #14529675 | 2 |
| #14529520 | 2 |
| #14526894 | 2 |
| C17×#1383 | 2 |
| #13153 | 17 |