Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
216 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 41 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. #11927293 | C2 | semidirect |
| 2. #11926727 | C2 | semidirect |
| 4. #11926343 | C2 | semidirect |
| 5. #11926342 | C2 | semidirect |
| 6. #11926340 | C2 | semidirect |
| 7. C19×#456 | C2 | semidirect |
| 105. #456 | D19 | semidirect |
| 133. C19 | #2203 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927293 | 2 |
| #11926727 | 2 |
| #11926717 | 2 |
| #11926343 | 2 |
| #11926342 | 2 |
| #11926340 | 2 |
| C19×#456 | 2 |
| #2203 | 19 |