Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
348 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 348 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 |
|---|---|---|
| 2. #11926901 | C2 | semidirect |
| 4. #11926841 | C2 | semidirect |
| 5. #11926826 | C2 | semidirect |
| 6. #11926766 | C2 | semidirect |
| 8. Q8×C19⋊C8 | C2 | semidirect |
| 9. C4×#64528 | C2 | semidirect |
| 10. C4×#64527 | C2 | semidirect |
| 11. C19×#557 | C2 | semidirect |
| 115. #557 | D19 | semidirect |
| 158. C19 | #3365 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927279 | 2 |
| #11926901 | 2 |
| #11926892 | 2 |
| #11926841 | 2 |
| #11926826 | 2 |
| #11926766 | 2 |
| #11926744 | 2 |
| Q8×C19⋊C8 | 2 |
| C4×#64528 | 2 |
| C4×#64527 | 2 |
| C19×#557 | 2 |
| #3365 | 19 |