Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
420 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 420 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. C2×#10597370 | C2 | semidirect |
| 3. #11926886 | C2 | semidirect |
| 4. #11926875 | C2 | semidirect |
| 5. #11926858 | C2 | semidirect |
| 6. #11926785 | C2 | semidirect |
| 7. #11926773 | C2 | semidirect |
| 8. #11926708 | C2 | semidirect |
| 9. #11926702 | C2 | semidirect |
| 10. #11926685 | C2 | semidirect |
| 11. C2×C19×C22⋊C8 | C2 | semidirect |
| 32. C2×Dic76 | C22 | semidirect |
| 33. C2×#64516 | C22 | semidirect |
| 37. #10597278 | C22 | semidirect |
| 38. #10597275 | C22 | semidirect |
| 39. #10597274 | C22 | semidirect |
| 40. #10597273 | C22 | semidirect |
| 41. #10597273 | C22 | semidirect |
| 42. #10597273 | C22 | semidirect |
| 153. C2×C22⋊C8 | D19 | semidirect |
| 192. C19 | #3190 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927055 | 2 |
| C2×#10597370 | 2 |
| #11926886 | 2 |
| #11926875 | 2 |
| #11926858 | 2 |
| #11926785 | 2 |
| #11926773 | 2 |
| #11926708 | 2 |
| #11926702 | 2 |
| #11926685 | 2 |
| C2×C19×C22⋊C8 | 2 |
| #3190 | 19 |