Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
398 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 73 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. #14534433 | C2 | semidirect |
| 5. #14526678 | C2 | semidirect |
| 6. #14526641 | C2 | semidirect |
| 7. C17×#1288 | C2 | semidirect |
| 41. #10587560 | Q8 | semidirect |
| 44. #10587555 | Q8 | semidirect |
| 160. #1288 | D17 | semidirect |
| 248. C17 | #10378 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14534433 | 2 |
| #14529703 | 2 |
| #14527330 | 2 |
| #14527293 | 2 |
| #14526678 | 2 |
| #14526641 | 2 |
| C17×#1288 | 2 |
| #10378 | 17 |