Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
182 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 182 conjugacy classes of subgroups — too many to draw. Only its 51 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. #11926916 | C2 | semidirect |
| 2. #11926825 | C2 | semidirect |
| 4. #11926621 | C2 | semidirect |
| 5. #11926296 | C2 | semidirect |
| 6. #11926291 | C2 | semidirect |
| 7. C19×#331 | C2 | semidirect |
| 65. C19⋊C8 | D8 | semidirect |
| 87. #331 | D19 | semidirect |
| 108. C19 | #1685 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11926916 | 2 |
| #11926825 | 2 |
| #11926736 | 2 |
| #11926621 | 2 |
| #11926296 | 2 |
| #11926291 | 2 |
| C19×#331 | 2 |
| #1685 | 19 |