Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
428 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 2. C2×#10597333 | C2 | semidirect |
| 3. #11926862 | C2 | semidirect |
| 4. #11926828 | C2 | semidirect |
| 5. #11926743 | C2 | semidirect |
| 6. #11926685 | C2 | semidirect |
| 7. #11926682 | C2 | semidirect |
| 8. #11926635 | C2 | semidirect |
| 9. #11926631 | C2 | semidirect |
| 10. #11926594 | C2 | semidirect |
| 11. C19×#481 | C2 | semidirect |
| 101. C2×Dic19 | SD16 | semidirect |
| 111. Dic38 | #41 | semidirect |
| 138. #481 | D19 | semidirect |
| 183. C19 | #3103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927089 | 2 |
| C2×#10597333 | 2 |
| #11926862 | 2 |
| #11926828 | 2 |
| #11926743 | 2 |
| #11926685 | 2 |
| #11926682 | 2 |
| #11926635 | 2 |
| #11926631 | 2 |
| #11926594 | 2 |
| C19×#481 | 2 |
| #3103 | 19 |