Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
326 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 326 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 |
| 3. C2×#10597262 | C2 | semidirect |
| 4. #11926543 | C2 | semidirect |
| 5. C2×#10597290 | C2 | semidirect |
| 6. #11926304 | C2 | semidirect |
| 7. C19×#390 | C2 | semidirect |
| 61. #64520 | D4 | semidirect |
| 129. #390 | D19 | semidirect |
| 157. C19 | #2037 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927111 | 2 |
| #11926584 | 2 |
| C2×#10597262 | 2 |
| #11926543 | 2 |
| C2×#10597290 | 2 |
| #11926304 | 2 |
| C19×#390 | 2 |
| #2037 | 19 |