Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
416 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 81 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. #14530393 | C2 | semidirect |
| 3. #14528812 | C2 | semidirect |
| 4. #14526796 | C2 | semidirect |
| 5. #14526794 | C2 | semidirect |
| 6. #14526792 | C2 | semidirect |
| 7. C17×#1348 | C2 | semidirect |
| 8. C2×#10587605 | C4 | semidirect |
| 12. #11763047 | C4 | semidirect |
| 13. #11763046 | C4 | semidirect |
| 17. #11762846 | C4 | semidirect |
| 161. #1348 | D17 | semidirect |
| 254. C17 | #11890 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538367 | 2 |
| #14530393 | 2 |
| #14528812 | 2 |
| #14526796 | 2 |
| #14526794 | 2 |
| #14526792 | 2 |
| C17×#1348 | 2 |
| #11890 | 17 |