Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
450 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 450 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×C4×D76 | C2 | semidirect |
| 2. #11926872 | C2 | semidirect |
| 3. #11926855 | C2 | semidirect |
| 4. #11926841 | C2 | semidirect |
| 5. #11926756 | C2 | semidirect |
| 6. #11926694 | C2 | semidirect |
| 8. #11926654 | C2 | semidirect |
| 9. #11926642 | C2 | semidirect |
| 10. #11926601 | C2 | semidirect |
| 11. C19×#529 | C2 | semidirect |
| 15. C19×#125 | C22 | semidirect |
| 16. C19×#124 | C22 | semidirect |
| 20. C4×Q8×C19 | C22 | semidirect |
| 22. C4×D4×C19 | C22 | semidirect |
| 33. #10597292 | C22 | semidirect |
| 34. #10597289 | C22 | semidirect |
| 39. #10597265 | C22 | semidirect |
| 40. #10597264 | C22 | semidirect |
| 41. C4⋊(C19⋊C8) | C22 | semidirect |
| 42. #10597260 | C22 | semidirect |
| 135. #529 | D19 | semidirect |
| 157. #125 | C2×D19 | semidirect |
| 158. #124 | C2×D19 | semidirect |
| 162. C4×Q8 | C2×D19 | semidirect |
| 168. C4×D4 | C2×D19 | semidirect |
| 183. C19 | #3114 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×D76 | 2 |
| #11926872 | 2 |
| #11926855 | 2 |
| #11926841 | 2 |
| #11926756 | 2 |
| #11926694 | 2 |
| #11926677 | 2 |
| #11926654 | 2 |
| #11926642 | 2 |
| #11926601 | 2 |
| C19×#529 | 2 |
| #3114 | 19 |