Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
436 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 121 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. #11927089 | C2 | semidirect |
| 2. #11926823 | C2 | semidirect |
| 3. #11926822 | C2 | semidirect |
| 4. #11926780 | C2 | semidirect |
| 5. #11926778 | C2 | semidirect |
| 6. #11926738 | C2 | semidirect |
| 7. #11926737 | C2 | semidirect |
| 8. C2×Dic19⋊C8 | C2 | semidirect |
| 9. C19×#466 | C2 | semidirect |
| 82. C2×Dic19 | D8 | semidirect |
| 115. #466 | D19 | semidirect |
| 150. C19 | #3245 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927089 | 2 |
| #11926823 | 2 |
| #11926822 | 2 |
| #11926780 | 2 |
| #11926778 | 2 |
| #11926738 | 2 |
| #11926737 | 2 |
| C2×Dic19⋊C8 | 2 |
| C19×#466 | 2 |
| #3245 | 19 |