Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
390 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 79 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. #14526803 | C2 | semidirect |
| 5. #14526802 | C2 | semidirect |
| 6. #14526801 | C2 | semidirect |
| 7. C17×#1350 | C2 | semidirect |
| 155. #1350 | D17 | semidirect |
| 238. C17 | #11896 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D17×#467 | 2 |
| #14530393 | 2 |
| #14528821 | 2 |
| #14526803 | 2 |
| #14526802 | 2 |
| #14526801 | 2 |
| C17×#1350 | 2 |
| #11896 | 17 |