Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
388 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 388 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. #11926894 | C2 | semidirect |
| 3. #11926877 | C2 | semidirect |
| 4. #11926839 | C2 | semidirect |
| 5. #11926783 | C2 | semidirect |
| 6. #11926751 | C2 | semidirect |
| 7. #11926700 | C2 | semidirect |
| 8. C4×#64528 | C2 | semidirect |
| 10. C2×#10597292 | C2 | semidirect |
| 82. D4×C19 | Q16 | semidirect |
| 163. C19 | #3299 | semidirect |
| 208. D4 | #64528 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927251 | 2 |
| #11926894 | 2 |
| #11926877 | 2 |
| #11926839 | 2 |
| #11926783 | 2 |
| #11926751 | 2 |
| #11926700 | 2 |
| C4×#64528 | 2 |
| D4×C19⋊C8 | 2 |
| C2×#10597292 | 2 |
| D4×Q8×C19 | 2 |
| #3299 | 19 |