Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
382 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 382 conjugacy classes of subgroups — too many to draw. Only its 125 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. #11926910 | C2 | semidirect |
| 3. #11926892 | C2 | semidirect |
| 4. #11926841 | C2 | semidirect |
| 5. #11926821 | C2 | semidirect |
| 6. #11926744 | C2 | semidirect |
| 7. #11926744 | C2 | semidirect |
| 8. #11926675 | C2 | semidirect |
| 9. #11926642 | C2 | semidirect |
| 10. C4×#64527 | C2 | semidirect |
| 11. C19×#557 | C2 | semidirect |
| 79. Q8×C19 | #41 | semidirect |
| 120. #557 | D19 | semidirect |
| 165. C19 | #3368 | semidirect |
| 204. Q8 | #64545 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927216 | 2 |
| #11926910 | 2 |
| #11926892 | 2 |
| #11926841 | 2 |
| #11926821 | 2 |
| #11926744 | 2 |
| #11926675 | 2 |
| #11926642 | 2 |
| C4×#64527 | 2 |
| C19×#557 | 2 |
| #3368 | 19 |