Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
428 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 141 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×#10597315 | C2 | semidirect |
| 3. #11926917 | C2 | semidirect |
| 4. #11926895 | C2 | semidirect |
| 5. #11926750 | C2 | semidirect |
| 6. #11926685 | C2 | semidirect |
| 7. C19×#431 | C2 | semidirect |
| 61. C2×C4×C19 | SD16 | semidirect |
| 102. #431 | D19 | semidirect |
| 129. C19 | #3206 | semidirect |
| 173. C2×C4 | #64516 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927094 | 2 |
| C2×#10597315 | 2 |
| #11926917 | 2 |
| #11926895 | 2 |
| #11926750 | 2 |
| #11926685 | 2 |
| C19×#431 | 2 |
| #3206 | 19 |