Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
502 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 502 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 |
|---|---|---|
| 2. #14528861 | C2 | semidirect |
| 3. #14526782 | C2 | semidirect |
| 4. C17×#1464 | C2 | semidirect |
| 5. C2×#10587560 | C4 | semidirect |
| 8. #11762726 | C4 | semidirect |
| 12. #11762675 | C4 | semidirect |
| 133. #1464 | D17 | semidirect |
| 211. C17 | #11800 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14534534 | 2 |
| #14528861 | 2 |
| #14526782 | 2 |
| C17×#1464 | 2 |
| #11800 | 17 |