Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
564 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 137 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. #11927095 | C2 | semidirect |
| 4. #11927093 | C2 | semidirect |
| 5. #11926937 | C2 | semidirect |
| 6. #11926936 | C2 | semidirect |
| 7. #11926934 | C2 | semidirect |
| 8. #11926933 | C2 | semidirect |
| 9. #11926930 | C2 | semidirect |
| 10. #97×D19 | C2 | semidirect |
| 11. C19×#497 | C2 | semidirect |
| 79. C8×D19 | D4 | semidirect |
| 134. #497 | D19 | semidirect |
| 174. C19 | #3150 | 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 |
| #11927095 | 2 |
| #11927093 | 2 |
| #11926937 | 2 |
| #11926936 | 2 |
| #11926934 | 2 |
| #11926933 | 2 |
| #11926930 | 2 |
| #97×D19 | 2 |
| C19×#497 | 2 |
| #3150 | 19 |