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×#10597397 | C2 | semidirect |
| 2. D4×Dic38 | C2 | semidirect |
| 3. #11926923 | C2 | semidirect |
| 4. #11926800 | C2 | semidirect |
| 5. #11926751 | C2 | semidirect |
| 6. #11926749 | C2 | semidirect |
| 7. #11926706 | C2 | semidirect |
| 8. #11926699 | C2 | semidirect |
| 9. C4×#64526 | C2 | semidirect |
| 10. #11926622 | C2 | semidirect |
| 71. #64526 | D4 | semidirect |
| 124. C4×C19 | #137 | semidirect |
| 176. C19 | #3276 | semidirect |
| 261. C4 | #10597397 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597397 | 2 |
| D4×Dic38 | 2 |
| #11926923 | 2 |
| #11926800 | 2 |
| #11926751 | 2 |
| #11926749 | 2 |
| #11926706 | 2 |
| #11926699 | 2 |
| C4×#64526 | 2 |
| #11926622 | 2 |
| C19×#547 | 2 |
| #3276 | 19 |