Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
672 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 672 conjugacy classes of subgroups — too many to draw. Only its 103 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. #14527492 | C2 | semidirect |
| 3. #14527413 | C2 | semidirect |
| 4. #14527362 | C2 | semidirect |
| 5. #14527336 | C2 | semidirect |
| 6. #14527331 | C2 | semidirect |
| 7. C17×#1496 | C2 | semidirect |
| 9. #11763545 | C4 | semidirect |
| 11. #11763534 | C4 | semidirect |
| 13. #11763479 | C4 | semidirect |
| 14. #11763474 | C4 | semidirect |
| 240. #1496 | D17 | semidirect |
| 380. C17 | #8503 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14543249 | 2 |
| #14527492 | 2 |
| #14527413 | 2 |
| #14527362 | 2 |
| #14527336 | 2 |
| #14527331 | 2 |
| C17×#1496 | 2 |
| #8503 | 17 |