Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
240 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 240 conjugacy classes of subgroups — too many to draw. Only its 61 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. #11926940 | C2 | semidirect |
| 2. #11926824 | C2 | semidirect |
| 3. #11926749 | C2 | semidirect |
| 4. #11926290 | C2 | semidirect |
| 5. D4⋊(C19⋊C8) | C2 | semidirect |
| 6. D4⋊(C19⋊C8) | C2 | semidirect |
| 58. D4×C19 | SD16 | semidirect |
| 122. C19 | #1654 | semidirect |
| 158. D4 | #64526 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11926940 | 2 |
| #11926824 | 2 |
| #11926749 | 2 |
| #11926290 | 2 |
| D4⋊(C19⋊C8) | 2 |
| C19×#547 | 2 |
| #1654 | 19 |