Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
348 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 115 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. #11927269 | C2 | semidirect |
| 3. #11926900 | C2 | semidirect |
| 5. #11926843 | C2 | semidirect |
| 6. #11926769 | C2 | semidirect |
| 8. #11926668 | C2 | semidirect |
| 9. C4×#64528 | C2 | semidirect |
| 10. #11926631 | C2 | semidirect |
| 11. C19×#475 | C2 | semidirect |
| 119. #475 | D19 | semidirect |
| 158. C19 | #3365 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927279 | 2 |
| #11927269 | 2 |
| #11926900 | 2 |
| #11926892 | 2 |
| #11926843 | 2 |
| #11926769 | 2 |
| #11926745 | 2 |
| #11926668 | 2 |
| C4×#64528 | 2 |
| #11926631 | 2 |
| C19×#475 | 2 |
| #3365 | 19 |