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 |
| 3. #11926886 | C2 | semidirect |
| 4. #11926869 | C2 | semidirect |
| 5. #11926790 | C2 | semidirect |
| 6. #11926773 | C2 | semidirect |
| 7. #11926697 | C2 | semidirect |
| 8. #11926685 | C2 | semidirect |
| 9. C19×#408 | C2 | semidirect |
| 12. C22×Dic38 | C22 | semidirect |
| 13. C2×M16×C19 | C22 | semidirect |
| 14. C22×C8×C19 | C22 | semidirect |
| 26. #10597372 | C22 | semidirect |
| 28. #10597370 | C22 | semidirect |
| 32. C19×C22⋊C8 | C22 | semidirect |
| 35. #10597275 | C22 | semidirect |
| 36. #10597274 | C22 | semidirect |
| 37. #10597273 | C22 | semidirect |
| 38. #10597273 | C22 | semidirect |
| 140. #408 | D19 | semidirect |
| 152. C2×M16 | C2×D19 | semidirect |
| 153. C22×C8 | C2×D19 | semidirect |
| 175. C22⋊C8 | C2×D19 | 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 |
| #11927108 | 2 |
| #11926886 | 2 |
| #11926869 | 2 |
| #11926790 | 2 |
| #11926773 | 2 |
| #11926697 | 2 |
| #11926685 | 2 |
| C19×#408 | 2 |
| #3200 | 19 |