Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
572 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 141 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×#10597365 | C2 | semidirect |
| 2. C2×#10597362 | C2 | semidirect |
| 3. C2×#10597358 | C2 | semidirect |
| 4. #11927093 | C2 | semidirect |
| 5. #11926928 | C2 | semidirect |
| 6. #11926926 | C2 | semidirect |
| 7. #11926922 | C2 | semidirect |
| 8. #11926919 | C2 | semidirect |
| 9. #11926915 | C2 | semidirect |
| 10. C4×C8×D19 | C2 | semidirect |
| 11. C19×#495 | C2 | semidirect |
| 75. C8×D19 | D4 | semidirect |
| 76. C8×D19 | D4 | semidirect |
| 120. Dic19 | #135 | semidirect |
| 127. #495 | D19 | semidirect |
| 165. C19 | #3147 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597365 | 2 |
| C2×#10597362 | 2 |
| C2×#10597358 | 2 |
| #11927093 | 2 |
| #11926928 | 2 |
| #11926926 | 2 |
| #11926922 | 2 |
| #11926919 | 2 |
| #11926915 | 2 |
| C4×C8×D19 | 2 |
| C19×#495 | 2 |
| #3147 | 19 |