Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
498 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 498 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 |
|---|---|---|
| 2. #11926482 | C2 | semidirect |
| 3. #11926479 | C2 | semidirect |
| 4. #11926472 | C2 | semidirect |
| 5. #11926463 | C2 | semidirect |
| 7. #11926455 | C2 | semidirect |
| 8. #11926439 | C2 | semidirect |
| 9. #11926434 | C2 | semidirect |
| 10. C4×C22⋊Dic19 | C2 | semidirect |
| 11. C2×C19×C22⋊Q8 | C2 | semidirect |
| 131. C2×C22⋊Q8 | D19 | semidirect |
| 173. C19 | #2663 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597375 | 2 |
| #11926482 | 2 |
| #11926479 | 2 |
| #11926472 | 2 |
| #11926463 | 2 |
| #11926459 | 2 |
| #11926455 | 2 |
| #11926439 | 2 |
| #11926434 | 2 |
| C4×C22⋊Dic19 | 2 |
| C2×C19×C22⋊Q8 | 2 |
| #2663 | 19 |