Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
376 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 141 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. #11927175 | C2 | semidirect |
| 3. #11926849 | C2 | semidirect |
| 4. #11926846 | C2 | semidirect |
| 5. #11926837 | C2 | semidirect |
| 6. #11926822 | C2 | semidirect |
| 7. #11926586 | C2 | semidirect |
| 8. C2×#10597264 | C2 | semidirect |
| 9. #11926572 | C2 | semidirect |
| 42. #41×C19 | Q8 | semidirect |
| 164. C19 | #3083 | semidirect |
| 166. #41 | Dic38 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927175 | 2 |
| #11927027 | 2 |
| #11926849 | 2 |
| #11926846 | 2 |
| #11926837 | 2 |
| #11926822 | 2 |
| #11926586 | 2 |
| C2×#10597264 | 2 |
| #11926572 | 2 |
| #11926540 | 2 |
| C19×#417 | 2 |
| #3083 | 19 |