Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
388 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 3. #11926895 | C2 | semidirect |
| 4. #11926881 | C2 | semidirect |
| 5. #11926839 | C2 | semidirect |
| 6. #11926784 | C2 | semidirect |
| 7. #11926754 | C2 | semidirect |
| 8. #11926698 | C2 | semidirect |
| 10. #103×D19 | C2 | semidirect |
| 11. C4×Q16×C19 | C2 | semidirect |
| 91. D76 | Q16 | semidirect |
| 127. C4×Q16 | D19 | semidirect |
| 163. C19 | #3299 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927254 | 2 |
| Q8×D76 | 2 |
| #11926895 | 2 |
| #11926881 | 2 |
| #11926839 | 2 |
| #11926784 | 2 |
| #11926754 | 2 |
| #11926698 | 2 |
| C8×D76 | 2 |
| #103×D19 | 2 |
| C4×Q16×C19 | 2 |
| #3299 | 19 |