Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
392 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 123 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. #11927274 | C2 | semidirect |
| 3. #11926892 | C2 | semidirect |
| 4. #11926889 | C2 | semidirect |
| 5. #11926833 | C2 | semidirect |
| 6. #11926745 | C2 | semidirect |
| 7. #11926743 | C2 | semidirect |
| 8. #11926668 | C2 | semidirect |
| 9. #11926631 | C2 | semidirect |
| 10. C4×#64526 | C2 | semidirect |
| 11. C19×#476 | C2 | semidirect |
| 98. Dic38 | SD16 | semidirect |
| 99. Dic38 | #41 | semidirect |
| 126. #476 | D19 | semidirect |
| 166. C19 | #3362 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927274 | 2 |
| #11927215 | 2 |
| #11926892 | 2 |
| #11926889 | 2 |
| #11926833 | 2 |
| #11926745 | 2 |
| #11926743 | 2 |
| #11926668 | 2 |
| #11926631 | 2 |
| C4×#64526 | 2 |
| C19×#476 | 2 |
| #3362 | 19 |