Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
456 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 129 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. #11927091 | C2 | semidirect |
| 2. #11926948 | C2 | semidirect |
| 3. #11926919 | C2 | semidirect |
| 4. #11926889 | C2 | semidirect |
| 5. #11926781 | C2 | semidirect |
| 6. #11926779 | C2 | semidirect |
| 7. #11926777 | C2 | semidirect |
| 8. C4×D152 | C2 | semidirect |
| 9. C4×#64525 | C2 | semidirect |
| 10. C4×C8×D19 | C2 | semidirect |
| 11. C4×D8×C19 | C2 | semidirect |
| 96. C4×D19 | D8 | semidirect |
| 99. C8×C19 | #41 | semidirect |
| 101. C19⋊C8 | #41 | semidirect |
| 131. C4×D8 | D19 | semidirect |
| 166. C19 | #3169 | semidirect |
| 229. C8 | #64541 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927091 | 2 |
| #11926948 | 2 |
| #11926919 | 2 |
| #11926889 | 2 |
| #11926781 | 2 |
| #11926779 | 2 |
| #11926777 | 2 |
| C4×D152 | 2 |
| C4×#64525 | 2 |
| C4×C8×D19 | 2 |
| C4×D8×C19 | 2 |
| #3169 | 19 |