Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
532 conjugacy classes of subgroups; only the 116 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 116 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 |
|---|---|---|
| 15. #11763666 | C4 | semidirect |
| 18. #11762551 | C4 | semidirect |
| 19. #11762550 | C4 | semidirect |
| 20. C17×#330 | C4 | semidirect |
| 118. #595 | #330 | direct (N × H) |
| 139. #330 | #595 | direct (N × H) |
| 171. C17 | C4×#330 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #125×#595 | 2 |
| #97×#595 | 2 |
| D17⋊#330 | 2 |
| #14543661 | 2 |
| D17×#330 | 2 |
| C4×#330 | 17 |