Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
636 conjugacy classes of subgroups; only the 391 normal subgroups are shown.
This group has 636 conjugacy classes of subgroups — too many to draw. Only its 391 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 |
|---|---|---|
| 3. #14530557 | C2 | semidirect |
| 4. C2×#11762632 | C2 | semidirect |
| 16. C17×#504 | C4 | semidirect |
| 29. C17×M32 | C2×C4 | semidirect |
| 31. C2×C16×C17 | C2×C4 | semidirect |
| 89. #504 | Dic17 | semidirect |
| 112. M32 | C2×Dic17 | semidirect |
| 114. C2×C16 | C2×Dic17 | semidirect |
| 121. C17 | #33404 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14537395 | 2 |
| #14537379 | 2 |
| #14530557 | 2 |
| C2×#11762632 | 2 |
| C17×#3407 | 2 |
| #33404 | 17 |