Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
382 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 382 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. #11927273 | C2 | semidirect |
| 3. #11926907 | C2 | semidirect |
| 4. #11926891 | C2 | semidirect |
| 5. #11926843 | C2 | semidirect |
| 6. #11926824 | C2 | semidirect |
| 7. #11926744 | C2 | semidirect |
| 8. #11926742 | C2 | semidirect |
| 9. #11926674 | C2 | semidirect |
| 10. #11926647 | C2 | semidirect |
| 11. C4×SD16×C19 | C2 | semidirect |
| 77. Q8×C19 | #41 | semidirect |
| 130. C4×SD16 | D19 | semidirect |
| 165. C19 | #3368 | semidirect |
| 204. Q8 | #64541 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927273 | 2 |
| #11927215 | 2 |
| #11926907 | 2 |
| #11926891 | 2 |
| #11926843 | 2 |
| #11926824 | 2 |
| #11926744 | 2 |
| #11926742 | 2 |
| #11926674 | 2 |
| #11926647 | 2 |
| C4×SD16×C19 | 2 |
| #3368 | 19 |