Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
340 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 137 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. #11926952 | C2 | semidirect |
| 3. #11926950 | C2 | semidirect |
| 4. #11926948 | C2 | semidirect |
| 5. #11926946 | C2 | semidirect |
| 6. #11926945 | C2 | semidirect |
| 11. C19×#500 | C2 | semidirect |
| 66. #64515 | Q8 | semidirect |
| 67. C8×D19 | Q8 | semidirect |
| 108. #500 | D19 | semidirect |
| 146. C19 | #3164 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927171 | 2 |
| #11926952 | 2 |
| #11926950 | 2 |
| #11926948 | 2 |
| #11926946 | 2 |
| #11926945 | 2 |
| #11926585 | 2 |
| #11926581 | 2 |
| #107×D19 | 2 |
| #11926498 | 2 |
| C19×#500 | 2 |
| #3164 | 19 |