Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
362 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 362 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. #11927167 | C2 | semidirect |
| 2. #11926941 | C2 | semidirect |
| 3. #11926929 | C2 | semidirect |
| 4. #11926905 | C2 | semidirect |
| 6. #11926775 | C2 | semidirect |
| 7. #11926655 | C2 | semidirect |
| 8. #11926651 | C2 | semidirect |
| 9. #11926629 | C2 | semidirect |
| 10. #11926502 | C2 | semidirect |
| 11. C19×#470 | C2 | semidirect |
| 110. #470 | D19 | semidirect |
| 148. C19 | #3173 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927167 | 2 |
| #11926941 | 2 |
| #11926929 | 2 |
| #11926905 | 2 |
| #11926797 | 2 |
| #11926775 | 2 |
| #11926655 | 2 |
| #11926651 | 2 |
| #11926629 | 2 |
| #11926502 | 2 |
| C19×#470 | 2 |
| #3173 | 19 |