Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
472 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 133 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. C2×#10597355 | C2 | semidirect |
| 2. D4×Dic38 | C2 | semidirect |
| 4. #11926924 | C2 | semidirect |
| 5. #11926802 | C2 | semidirect |
| 6. #11926755 | C2 | semidirect |
| 7. #11926750 | C2 | semidirect |
| 8. #11926708 | C2 | semidirect |
| 9. #11926702 | C2 | semidirect |
| 10. C4×#64516 | C2 | semidirect |
| 11. C19×#436 | C2 | semidirect |
| 81. #64516 | D4 | semidirect |
| 122. C4×C19 | #137 | semidirect |
| 140. #436 | D19 | semidirect |
| 176. C19 | #3276 | semidirect |
| 261. C4 | #10597355 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597355 | 2 |
| D4×Dic38 | 2 |
| #11927199 | 2 |
| #11926924 | 2 |
| #11926802 | 2 |
| #11926755 | 2 |
| #11926750 | 2 |
| #11926708 | 2 |
| #11926702 | 2 |
| C4×#64516 | 2 |
| C19×#436 | 2 |
| #3276 | 19 |