Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
334 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 334 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 2. #11926943 | C2 | semidirect |
| 3. #11926901 | C2 | semidirect |
| 4. #11926879 | C2 | semidirect |
| 5. #11926874 | C2 | semidirect |
| 8. #11926848 | C2 | semidirect |
| 9. #11926841 | C2 | semidirect |
| 10. #11926597 | C2 | semidirect |
| 11. C2×C19×#125 | C2 | semidirect |
| 122. C2×#125 | D19 | semidirect |
| 168. C19 | #3232 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927078 | 2 |
| #11926943 | 2 |
| #11926901 | 2 |
| #11926879 | 2 |
| #11926874 | 2 |
| #11926862 | 2 |
| #11926857 | 2 |
| #11926848 | 2 |
| #11926841 | 2 |
| #11926597 | 2 |
| C2×C19×#125 | 2 |
| #3232 | 19 |