Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
564 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 149 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. C22×#64527 | C2 | semidirect |
| 3. C2×#10597393 | C2 | semidirect |
| 4. C2×#10597339 | C2 | semidirect |
| 5. #11926762 | C2 | direct (N × H) |
| 6. C2×Dic19⋊C8 | C2 | semidirect |
| 7. C2×#10597266 | C2 | semidirect |
| 8. C2×C19×#103 | C2 | semidirect |
| 16. #10597393 | C22 | semidirect |
| 18. C2×#64527 | C22 | semidirect |
| 27. #10597339 | C22 | semidirect |
| 28. C19×#103 | C22 | semidirect |
| 29. Dic19⋊C8 | C22 | semidirect |
| 30. #10597266 | C22 | semidirect |
| 124. C2×#103 | D19 | semidirect |
| 126. C2×C19 | #463 | semidirect |
| 152. #103 | C2×D19 | semidirect |
| 154. C19 | C2×#463 | semidirect |
| 243. C2 | #11926762 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#64527 | 2 |
| C22×D152 | 2 |
| C2×#10597393 | 2 |
| C2×#10597339 | 2 |
| #11926762 | 2 |
| C2×Dic19⋊C8 | 2 |
| C2×#10597266 | 2 |
| C2×C19×#103 | 2 |
| C2×#463 | 19 |