Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
504 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 504 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. C2×#10597350 | C2 | semidirect |
| 2. C2×#10597358 | C2 | semidirect |
| 3. #11927212 | C2 | semidirect |
| 4. #11926919 | C2 | semidirect |
| 5. #11926781 | C2 | semidirect |
| 6. #11926743 | C2 | semidirect |
| 7. #11926690 | C2 | semidirect |
| 8. #11926687 | C2 | semidirect |
| 9. #11926638 | C2 | semidirect |
| 10. C8×C22⋊D19 | C2 | semidirect |
| 11. C19×#466 | C2 | semidirect |
| 76. Dic76 | D4 | semidirect |
| 135. Dic19 | #135 | semidirect |
| 141. #466 | D19 | semidirect |
| 183. C19 | #3287 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597350 | 2 |
| C2×#10597358 | 2 |
| #11927212 | 2 |
| #11926919 | 2 |
| #11926781 | 2 |
| #11926743 | 2 |
| #11926690 | 2 |
| #11926687 | 2 |
| #11926638 | 2 |
| C8×C22⋊D19 | 2 |
| C19×#466 | 2 |
| #3287 | 19 |