Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
212 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 212 conjugacy classes of subgroups — too many to draw. Only its 61 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. #11926923 | C2 | semidirect |
| 3. #11926892 | C2 | semidirect |
| 4. #11926891 | C2 | semidirect |
| 5. #11926890 | C2 | semidirect |
| 6. C8×C19⋊C8 | C2 | semidirect |
| 7. C19×#486 | C2 | semidirect |
| 75. #486 | D19 | semidirect |
| 95. C19 | #1709 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11926923 | 2 |
| #11926920 | 2 |
| #11926892 | 2 |
| #11926891 | 2 |
| #11926890 | 2 |
| C8×C19⋊C8 | 2 |
| C19×#486 | 2 |
| #1709 | 19 |