Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
456 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 456 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 |
|---|---|---|
| 1. #11927095 | C2 | semidirect |
| 2. #11926921 | C2 | semidirect |
| 3. #11926892 | C2 | semidirect |
| 4. #11926781 | C2 | semidirect |
| 5. #11926626 | C2 | semidirect |
| 6. C4×C8×D19 | C2 | semidirect |
| 7. C19×#500 | C2 | semidirect |
| 63. C4×D19 | D8 | semidirect |
| 64. C8×C19 | #41 | semidirect |
| 82. #500 | D19 | semidirect |
| 109. C19 | #3169 | semidirect |
| 151. C8 | #64545 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927095 | 2 |
| #11926921 | 2 |
| #11926892 | 2 |
| #11926781 | 2 |
| #11926626 | 2 |
| C4×C8×D19 | 2 |
| C19×#500 | 2 |
| #3169 | 19 |