Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
414 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 113 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×#10597392 | C2 | semidirect |
| 3. #11926884 | C2 | semidirect |
| 4. #11926880 | C2 | semidirect |
| 5. #11926860 | C2 | semidirect |
| 6. #11926801 | C2 | semidirect |
| 7. #11926787 | C2 | semidirect |
| 8. #11926703 | C2 | semidirect |
| 9. #11926700 | C2 | semidirect |
| 10. #11926506 | C2 | semidirect |
| 11. C19×#448 | C2 | semidirect |
| 15. C2×SD16×C19 | C22 | semidirect |
| 21. C2×#64528 | C22 | semidirect |
| 34. C19×#103 | C22 | semidirect |
| 36. #10597292 | C22 | semidirect |
| 37. #10597289 | C22 | semidirect |
| 40. #10597275 | C22 | semidirect |
| 41. #10597273 | C22 | semidirect |
| 42. #10597265 | C22 | semidirect |
| 152. #448 | D19 | semidirect |
| 165. C2×SD16 | C2×D19 | semidirect |
| 187. #103 | C2×D19 | semidirect |
| 192. C19 | #3196 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927054 | 2 |
| C2×#10597392 | 2 |
| #11926884 | 2 |
| #11926880 | 2 |
| #11926860 | 2 |
| #11926801 | 2 |
| #11926787 | 2 |
| #11926703 | 2 |
| #11926700 | 2 |
| #11926506 | 2 |
| C19×#448 | 2 |
| #3196 | 19 |