Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
400 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 121 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. #11927101 | C2 | semidirect |
| 3. #11926938 | C2 | semidirect |
| 4. #11926904 | C2 | semidirect |
| 5. #11926767 | C2 | semidirect |
| 6. #11926702 | C2 | semidirect |
| 8. C19×#432 | C2 | semidirect |
| 17. C2×Dic76 | C22 | semidirect |
| 24. #10597315 | C22 | semidirect |
| 25. #10597315 | C22 | semidirect |
| 27. C4×Dic38 | C22 | semidirect |
| 28. C19×C4⋊C8 | C22 | semidirect |
| 30. C19×#97 | C22 | semidirect |
| 32. #10597273 | C22 | semidirect |
| 115. #432 | D19 | semidirect |
| 140. C4⋊C8 | C2×D19 | semidirect |
| 144. #97 | C2×D19 | semidirect |
| 145. C19 | #3215 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927101 | 2 |
| C2×#10597321 | 2 |
| #11926938 | 2 |
| #11926904 | 2 |
| #11926767 | 2 |
| #11926702 | 2 |
| #11926697 | 2 |
| C19×#432 | 2 |
| #3215 | 19 |