Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
360 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 113 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. #11927080 | C2 | semidirect |
| 2. #11926853 | C2 | semidirect |
| 3. #11926847 | C2 | semidirect |
| 5. #11926775 | C2 | semidirect |
| 6. #11926768 | C2 | semidirect |
| 7. #11926762 | C2 | semidirect |
| 8. C2×Dic19⋊C8 | C2 | semidirect |
| 9. C19×#467 | C2 | semidirect |
| 105. #467 | D19 | semidirect |
| 141. C19 | #3250 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927080 | 2 |
| #11926853 | 2 |
| #11926847 | 2 |
| #11926780 | 2 |
| #11926775 | 2 |
| #11926768 | 2 |
| #11926762 | 2 |
| C2×Dic19⋊C8 | 2 |
| C19×#467 | 2 |
| #3250 | 19 |