Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
154 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 154 conjugacy classes of subgroups — too many to draw. Only its 47 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. #11926987 | C2 | semidirect |
| 3. #11926928 | C2 | semidirect |
| 4. #11926662 | C2 | semidirect |
| 5. #11926361 | C2 | semidirect |
| 6. #11926358 | C2 | semidirect |
| 7. C19×#364 | C2 | semidirect |
| 75. #364 | D19 | semidirect |
| 97. C19 | #2212 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11926987 | 2 |
| #11926982 | 2 |
| #11926928 | 2 |
| #11926662 | 2 |
| #11926361 | 2 |
| #11926358 | 2 |
| C19×#364 | 2 |
| #2212 | 19 |