Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
392 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 392 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. #11926892 | C2 | semidirect |
| 3. #11926831 | C2 | semidirect |
| 4. #11926744 | C2 | semidirect |
| 5. Q8×C19⋊C8 | C2 | semidirect |
| 6. C4×#64527 | C2 | semidirect |
| 7. Q82×C19 | C2 | semidirect |
| 46. Q8×C19 | SD16 | semidirect |
| 47. Q8×C19 | #41 | semidirect |
| 73. Q82 | D19 | semidirect |
| 100. C19 | #3362 | semidirect |
| 123. Q8 | #64527 | semidirect |
| 124. Q8 | #64545 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927216 | 2 |
| #11926892 | 2 |
| #11926831 | 2 |
| #11926744 | 2 |
| Q8×C19⋊C8 | 2 |
| C4×#64527 | 2 |
| Q82×C19 | 2 |
| #3362 | 19 |