Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
446 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 4. #14526677 | C2 | semidirect |
| 5. #14526650 | C2 | semidirect |
| 6. #14526649 | C2 | semidirect |
| 7. C17×#1300 | C2 | semidirect |
| 168. #1300 | D17 | semidirect |
| 264. C17 | #8773 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14531725 | 2 |
| C4×#10587494 | 2 |
| #14527124 | 2 |
| #14526677 | 2 |
| #14526650 | 2 |
| #14526649 | 2 |
| C17×#1300 | 2 |
| #8773 | 17 |