Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
408 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 125 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. #11927094 | C2 | semidirect |
| 2. #11926954 | C2 | semidirect |
| 3. #11926934 | C2 | semidirect |
| 4. #11926910 | C2 | semidirect |
| 5. #11926903 | C2 | semidirect |
| 6. #11926795 | C2 | semidirect |
| 7. #11926792 | C2 | semidirect |
| 8. C4×#64527 | C2 | semidirect |
| 9. C4×#64525 | C2 | semidirect |
| 10. C4×#64520 | C2 | semidirect |
| 11. C19×#529 | C2 | semidirect |
| 110. C19⋊C8 | #41 | semidirect |
| 133. #529 | D19 | semidirect |
| 180. C19 | #3171 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927094 | 2 |
| #11926954 | 2 |
| #11926934 | 2 |
| #11926910 | 2 |
| #11926903 | 2 |
| #11926795 | 2 |
| #11926792 | 2 |
| C4×#64527 | 2 |
| C4×#64525 | 2 |
| C4×#64520 | 2 |
| C19×#529 | 2 |
| #3171 | 19 |