Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
390 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 75 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. #14534441 | C2 | semidirect |
| 4. #14526677 | C2 | semidirect |
| 5. #14526650 | C2 | semidirect |
| 6. #14526641 | C2 | semidirect |
| 247. C17 | #10380 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14534441 | 2 |
| #14529704 | 2 |
| #14527331 | 2 |
| #14526677 | 2 |
| #14526650 | 2 |
| #14526641 | 2 |
| C17×#1505 | 2 |
| #10380 | 17 |