Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
366 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 111 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. #11927100 | C2 | semidirect |
| 3. #11926954 | C2 | semidirect |
| 4. #11926953 | C2 | semidirect |
| 5. #11926908 | C2 | semidirect |
| 6. #11926867 | C2 | semidirect |
| 7. #11926866 | C2 | semidirect |
| 8. #11926832 | C2 | semidirect |
| 9. #11926822 | C2 | semidirect |
| 10. #11926599 | C2 | semidirect |
| 11. C19×#490 | C2 | semidirect |
| 129. #490 | D19 | semidirect |
| 171. C19 | #3235 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927100 | 2 |
| #11927092 | 2 |
| #11926954 | 2 |
| #11926953 | 2 |
| #11926908 | 2 |
| #11926867 | 2 |
| #11926866 | 2 |
| #11926832 | 2 |
| #11926822 | 2 |
| #11926599 | 2 |
| C19×#490 | 2 |
| #3235 | 19 |