Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
196 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 196 conjugacy classes of subgroups — too many to draw. Only its 57 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. #14531027 | C2 | semidirect |
| 3. #14530626 | C2 | semidirect |
| 4. #14526851 | C2 | semidirect |
| 5. #14526845 | C2 | semidirect |
| 6. #14526820 | C2 | semidirect |
| 7. C17×#2231 | C2 | semidirect |
| 84. #2231 | D17 | semidirect |
| 138. C17 | #12465 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14531027 | 2 |
| #14530860 | 2 |
| #14530626 | 2 |
| #14526851 | 2 |
| #14526845 | 2 |
| #14526820 | 2 |
| C17×#2231 | 2 |
| #12465 | 17 |