Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
364 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 119 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 |
|---|---|---|
| 1. #11927099 | C2 | semidirect |
| 3. #11926953 | C2 | semidirect |
| 4. #11926912 | C2 | semidirect |
| 5. #11926903 | C2 | semidirect |
| 6. #11926799 | C2 | semidirect |
| 8. Q16×Dic19 | C2 | semidirect |
| 9. SD16×Dic19 | C2 | semidirect |
| 10. #11926496 | C2 | semidirect |
| 11. C19×#497 | C2 | semidirect |
| 128. #497 | D19 | semidirect |
| 172. C19 | #3172 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927099 | 2 |
| #11927073 | 2 |
| #11926953 | 2 |
| #11926912 | 2 |
| #11926903 | 2 |
| #11926799 | 2 |
| #11926787 | 2 |
| Q16×Dic19 | 2 |
| SD16×Dic19 | 2 |
| #11926496 | 2 |
| C19×#497 | 2 |
| #3172 | 19 |