Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
410 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 137 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. #11926886 | C2 | semidirect |
| 4. #11926880 | C2 | semidirect |
| 5. #11926875 | C2 | semidirect |
| 6. #11926586 | C2 | semidirect |
| 7. #11926554 | C2 | semidirect |
| 29. #10597275 | C22 | semidirect |
| 30. #10597274 | C22 | semidirect |
| 31. #10597273 | C22 | semidirect |
| 32. #10597273 | C22 | semidirect |
| 149. C19 | #3095 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597370 | 2 |
| C2×#10597372 | 2 |
| #11926886 | 2 |
| #11926880 | 2 |
| #11926875 | 2 |
| #11926586 | 2 |
| #11926554 | 2 |
| C19×#407 | 2 |
| #3095 | 19 |