Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
242 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 242 conjugacy classes of subgroups — too many to draw. Only its 63 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 |
|---|---|---|
| 2. #11926598 | C2 | semidirect |
| 3. #11926395 | C2 | semidirect |
| 4. #11926281 | C2 | semidirect |
| 7. C19×#328 | C2 | semidirect |
| 9. #10597393 | C4 | semidirect |
| 10. Q8×Dic19 | C4 | semidirect |
| 16. #10597339 | C4 | semidirect |
| 18. #10597336 | C4 | semidirect |
| 108. #328 | D19 | semidirect |
| 136. C19 | #1509 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927080 | 2 |
| #11926598 | 2 |
| #11926395 | 2 |
| #11926281 | 2 |
| #11926279 | 2 |
| #11926277 | 2 |
| C19×#328 | 2 |
| #1509 | 19 |