Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
410 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 117 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. #11927115 | C2 | semidirect |
| 2. #11926885 | C2 | semidirect |
| 3. #11926865 | C2 | semidirect |
| 4. #11926788 | C2 | semidirect |
| 5. #11926771 | C2 | semidirect |
| 6. #11926695 | C2 | semidirect |
| 7. #11926682 | C2 | semidirect |
| 8. #11926511 | C2 | semidirect |
| 12. C22×Dic38 | C22 | semidirect |
| 26. #10597372 | C22 | semidirect |
| 28. #10597370 | C22 | semidirect |
| 29. C2×#64520 | C22 | semidirect |
| 30. C22×C19⋊C8 | C22 | semidirect |
| 34. C22⋊(C19⋊C8) | C22 | semidirect |
| 35. #10597267 | C22 | semidirect |
| 36. #10597267 | C22 | semidirect |
| 37. #10597265 | C22 | semidirect |
| 38. #10597264 | C22 | semidirect |
| 176. C19 | #3200 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927115 | 2 |
| #11926885 | 2 |
| #11926865 | 2 |
| #11926788 | 2 |
| #11926771 | 2 |
| #11926695 | 2 |
| #11926682 | 2 |
| #11926511 | 2 |
| C19×#535 | 2 |
| #3200 | 19 |