Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
386 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 109 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. #14530578 | C2 | semidirect |
| 5. #14526896 | C2 | semidirect |
| 6. #14526895 | C2 | semidirect |
| 7. C17×#2161 | C2 | semidirect |
| 125. #2161 | D17 | semidirect |
| 197. C17 | #12924 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11762856 | 2 |
| #14530578 | 2 |
| C2×#11762590 | 2 |
| #14528823 | 2 |
| #14526896 | 2 |
| #14526895 | 2 |
| C17×#2161 | 2 |
| #12924 | 17 |