Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
370 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 370 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 |
|---|---|---|
| 1. #11927081 | C2 | semidirect |
| 2. #11926944 | C2 | semidirect |
| 3. #11926929 | C2 | semidirect |
| 4. #11926900 | C2 | semidirect |
| 5. #11926799 | C2 | semidirect |
| 7. #11926793 | C2 | semidirect |
| 8. #11926657 | C2 | semidirect |
| 9. #11926642 | C2 | semidirect |
| 10. #11926496 | C2 | semidirect |
| 11. C19×#441 | C2 | semidirect |
| 114. #441 | D19 | semidirect |
| 148. C19 | #3183 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927081 | 2 |
| #11926944 | 2 |
| #11926929 | 2 |
| #11926900 | 2 |
| #11926799 | 2 |
| #11926798 | 2 |
| #11926793 | 2 |
| #11926657 | 2 |
| #11926642 | 2 |
| #11926496 | 2 |
| C19×#441 | 2 |
| #3183 | 19 |