Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
644 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 644 conjugacy classes of subgroups — too many to draw. Only its 99 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. #14528772 | C2 | semidirect |
| 3. #14526782 | C2 | semidirect |
| 4. C17×#1459 | C2 | semidirect |
| 5. C2×#10587560 | C4 | semidirect |
| 10. #11762718 | C4 | semidirect |
| 14. C4×C4⋊Dic17 | C4 | semidirect |
| 156. #1459 | D17 | semidirect |
| 246. C17 | #11877 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14533730 | 2 |
| #14528772 | 2 |
| #14526782 | 2 |
| C17×#1459 | 2 |
| #11877 | 17 |