Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
420 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 115 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×#10597343 | C2 | semidirect |
| 3. #11926888 | C2 | semidirect |
| 4. #11926857 | C2 | semidirect |
| 5. #11926784 | C2 | semidirect |
| 6. #11926774 | C2 | semidirect |
| 7. #11926709 | C2 | semidirect |
| 8. #11926699 | C2 | semidirect |
| 9. #11926685 | C2 | semidirect |
| 10. C22⋊C8×D19 | C2 | semidirect |
| 11. C19×#483 | C2 | semidirect |
| 18. C2×#64528 | C22 | semidirect |
| 22. C2×#64516 | C22 | semidirect |
| 34. C19×#106 | C22 | semidirect |
| 35. C19×#103 | C22 | semidirect |
| 39. #10597273 | C22 | semidirect |
| 40. #10597267 | C22 | semidirect |
| 41. #10597266 | C22 | semidirect |
| 42. #10597264 | C22 | semidirect |
| 146. #483 | D19 | semidirect |
| 184. #106 | C2×D19 | semidirect |
| 187. #103 | C2×D19 | semidirect |
| 192. C19 | #3190 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927057 | 2 |
| C2×#10597343 | 2 |
| #11926888 | 2 |
| #11926857 | 2 |
| #11926784 | 2 |
| #11926774 | 2 |
| #11926709 | 2 |
| #11926699 | 2 |
| #11926685 | 2 |
| C22⋊C8×D19 | 2 |
| C19×#483 | 2 |
| #3190 | 19 |