Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
318 conjugacy classes of subgroups; only the 110 normal subgroups are shown.
This group has 318 conjugacy classes of subgroups — too many to draw. Only its 110 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 |
|---|---|---|
| 10. #11763736 | C4 | semidirect |
| 11. #11763735 | C4 | semidirect |
| 12. C16×#595 | C4 | semidirect |
| 13. C16×#595 | C4 | semidirect |
| 17. #11762639 | C4 | semidirect |
| 18. #11762638 | C4 | semidirect |
| 19. C17×#368 | C4 | semidirect |
| 111. #368 | #595 | semidirect |
| 144. C17 | #12670 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545135 | 2 |
| C2×C16×#595 | 2 |
| #14544589 | 2 |
| #14543847 | 2 |
| D17×#368 | 2 |
| #12670 | 17 |