Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
390 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
|---|---|---|
| 2. C2×C4×Dic38 | C2 | semidirect |
| 3. #11926875 | C2 | semidirect |
| 5. #11926852 | C2 | semidirect |
| 6. #11926767 | C2 | semidirect |
| 7. #11926702 | C2 | semidirect |
| 9. C4×Dic76 | C2 | semidirect |
| 10. C4×#64516 | C2 | semidirect |
| 11. C19×#431 | C2 | semidirect |
| 137. #431 | D19 | semidirect |
| 174. C19 | #3108 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927078 | 2 |
| C2×C4×Dic38 | 2 |
| #11926875 | 2 |
| #11926858 | 2 |
| #11926852 | 2 |
| #11926767 | 2 |
| #11926702 | 2 |
| #11926685 | 2 |
| C4×Dic76 | 2 |
| C4×#64516 | 2 |
| C19×#431 | 2 |
| #3108 | 19 |