Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
402 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 117 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. #11927122 | C2 | semidirect |
| 2. #11926875 | C2 | semidirect |
| 3. #11926863 | C2 | semidirect |
| 4. #11926802 | C2 | semidirect |
| 5. #11926797 | C2 | semidirect |
| 6. #11926773 | C2 | semidirect |
| 7. #11926708 | C2 | semidirect |
| 8. #11926691 | C2 | semidirect |
| 9. C19×#408 | C2 | semidirect |
| 121. #408 | D19 | semidirect |
| 152. C19 | #3204 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927122 | 2 |
| #11926875 | 2 |
| #11926863 | 2 |
| #11926802 | 2 |
| #11926797 | 2 |
| #11926773 | 2 |
| #11926708 | 2 |
| #11926691 | 2 |
| C19×#408 | 2 |
| #3204 | 19 |