Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
358 conjugacy classes of subgroups; only the 140 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 140 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 |
|---|---|---|
| 13. #11763732 | C4 | semidirect |
| 14. #11763731 | C4 | semidirect |
| 19. #11762630 | C4 | semidirect |
| 20. #11762629 | C4 | semidirect |
| 21. C17×#364 | C4 | semidirect |
| 131. #364 | #595 | semidirect |
| 164. C17 | #12656 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545123 | 2 |
| M32×#595 | 2 |
| #14544440 | 2 |
| #14543827 | 2 |
| D17×#364 | 2 |
| #12656 | 17 |