Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
362 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 115 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. C2×#10597334 | C2 | semidirect |
| 3. #11926952 | C2 | semidirect |
| 4. #11926905 | C2 | semidirect |
| 5. #11926877 | C2 | semidirect |
| 8. #11926827 | C2 | semidirect |
| 9. #11926823 | C2 | semidirect |
| 10. #11926598 | C2 | semidirect |
| 11. C19×#484 | C2 | semidirect |
| 129. #484 | D19 | semidirect |
| 171. C19 | #3239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597334 | 2 |
| #11927080 | 2 |
| #11926952 | 2 |
| #11926905 | 2 |
| #11926877 | 2 |
| #11926863 | 2 |
| #11926862 | 2 |
| #11926827 | 2 |
| #11926823 | 2 |
| #11926598 | 2 |
| C19×#484 | 2 |
| #3239 | 19 |