Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
160 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 51 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. #14531065 | C2 | semidirect |
| 3. #14526991 | C2 | semidirect |
| 4. #14526981 | C2 | semidirect |
| 7. C17×#1426 | C2 | semidirect |
| 30. Dic136 | Q8 | semidirect |
| 32. D272 | Q8 | semidirect |
| 70. #1426 | D17 | semidirect |
| 112. C17 | #13710 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14531065 | 2 |
| #14530664 | 2 |
| #14526991 | 2 |
| #14526981 | 2 |
| #14526972 | 2 |
| #14526970 | 2 |
| C17×#1426 | 2 |
| #13710 | 17 |