Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
278 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 278 conjugacy classes of subgroups — too many to draw. Only its 67 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. #11926584 | C2 | semidirect |
| 5. C2×#10597293 | C2 | semidirect |
| 6. #11926304 | C2 | semidirect |
| 7. C19×#391 | C2 | semidirect |
| 120. #391 | D19 | semidirect |
| 147. C19 | #2038 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927118 | 2 |
| #11926584 | 2 |
| C2×#10597262 | 2 |
| #11926543 | 2 |
| C2×#10597293 | 2 |
| #11926304 | 2 |
| C19×#391 | 2 |
| #2038 | 19 |