Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
392 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 392 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. #11927100 | C2 | semidirect |
| 3. #11926912 | C2 | semidirect |
| 4. #11926910 | C2 | semidirect |
| 5. #11926909 | C2 | semidirect |
| 6. #11926905 | C2 | semidirect |
| 7. #11926539 | C2 | semidirect |
| 8. #97×D19 | C2 | semidirect |
| 9. C19×#491 | C2 | semidirect |
| 90. #491 | D19 | semidirect |
| 121. C19 | #3135 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927100 | 2 |
| #11927095 | 2 |
| #11926912 | 2 |
| #11926910 | 2 |
| #11926909 | 2 |
| #11926905 | 2 |
| #11926539 | 2 |
| #97×D19 | 2 |
| C19×#491 | 2 |
| #3135 | 19 |