Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
480 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 133 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. C4⋊Q8×D19 | C2 | semidirect |
| 4. #11926755 | C2 | semidirect |
| 5. #11926753 | C2 | semidirect |
| 6. #11926751 | C2 | semidirect |
| 7. #11926749 | C2 | semidirect |
| 8. #11926747 | C2 | semidirect |
| 9. #11926566 | C2 | semidirect |
| 10. #11926551 | C2 | semidirect |
| 11. C19×#461 | C2 | semidirect |
| 132. C4×C19 | #137 | semidirect |
| 140. Dic19 | #137 | semidirect |
| 149. #461 | D19 | semidirect |
| 189. C19 | #3039 | semidirect |
| 283. C4 | #10597361 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597361 | 2 |
| C4⋊Q8×D19 | 2 |
| C4×#64543 | 2 |
| #11926755 | 2 |
| #11926753 | 2 |
| #11926751 | 2 |
| #11926749 | 2 |
| #11926747 | 2 |
| #11926566 | 2 |
| #11926551 | 2 |
| C19×#461 | 2 |
| #3039 | 19 |