Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
504 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 141 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×#10597354 | C2 | semidirect |
| 2. C2×#10597350 | C2 | semidirect |
| 3. #11927113 | C2 | semidirect |
| 4. #11927024 | C2 | semidirect |
| 5. #11926767 | C2 | semidirect |
| 6. #11926760 | C2 | semidirect |
| 7. #11926745 | C2 | semidirect |
| 8. #11926740 | C2 | semidirect |
| 9. #11926546 | C2 | semidirect |
| 10. C2×#10597278 | C2 | semidirect |
| 11. C19×#424 | C2 | semidirect |
| 20. C2×Dic76 | C22 | semidirect |
| 23. C2×D152 | C22 | semidirect |
| 25. C2×#64516 | C22 | semidirect |
| 26. C2×#64516 | C22 | semidirect |
| 35. C4×D76 | C22 | semidirect |
| 36. C4×Dic38 | C22 | semidirect |
| 37. C19×C4⋊C8 | C22 | semidirect |
| 38. C19×C4⋊C8 | C22 | semidirect |
| 41. #10597278 | C22 | semidirect |
| 42. #10597273 | C22 | semidirect |
| 51. #64541 | D4 | semidirect |
| 156. #424 | D19 | semidirect |
| 191. C4⋊C8 | C2×D19 | semidirect |
| 192. C4⋊C8 | C2×D19 | semidirect |
| 197. C19 | #3045 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597354 | 2 |
| C2×#10597350 | 2 |
| #11927113 | 2 |
| #11927024 | 2 |
| #11926767 | 2 |
| #11926760 | 2 |
| #11926745 | 2 |
| #11926740 | 2 |
| #11926546 | 2 |
| C2×#10597278 | 2 |
| C19×#424 | 2 |
| #3045 | 19 |