Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
398 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 398 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. #11927260 | C2 | semidirect |
| 2. #11927198 | C2 | semidirect |
| 3. #11926896 | C2 | semidirect |
| 4. #11926888 | C2 | semidirect |
| 5. #11926774 | C2 | semidirect |
| 6. #11926750 | C2 | semidirect |
| 7. #11926690 | C2 | semidirect |
| 8. C4×#64525 | C2 | semidirect |
| 9. #11926609 | C2 | semidirect |
| 10. #11926537 | C2 | semidirect |
| 11. C19×#476 | C2 | semidirect |
| 129. #476 | D19 | semidirect |
| 171. C19 | #3303 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927260 | 2 |
| #11927198 | 2 |
| #11926896 | 2 |
| #11926888 | 2 |
| #11926774 | 2 |
| #11926750 | 2 |
| #11926690 | 2 |
| C4×#64525 | 2 |
| #11926609 | 2 |
| #11926537 | 2 |
| C19×#476 | 2 |
| #3303 | 19 |