Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
504 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 504 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 |
|---|---|---|
| 1. C2×#10597358 | C2 | semidirect |
| 2. #11927214 | C2 | semidirect |
| 3. #11926777 | C2 | semidirect |
| 4. #11926741 | C2 | semidirect |
| 5. #11926686 | C2 | semidirect |
| 6. C4×Dic76 | C2 | semidirect |
| 7. C8×D76 | C2 | semidirect |
| 8. C19×#493 | C2 | semidirect |
| 53. Dic76 | D4 | semidirect |
| 87. C4×C19 | #135 | semidirect |
| 95. #493 | D19 | semidirect |
| 126. C19 | #3287 | semidirect |
| 187. C4 | #10597358 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597358 | 2 |
| #11927214 | 2 |
| #11926777 | 2 |
| #11926741 | 2 |
| #11926686 | 2 |
| C4×Dic76 | 2 |
| C8×D76 | 2 |
| C19×#493 | 2 |
| #3287 | 19 |