Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
500 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 1. C2×#10597388 | C2 | semidirect |
| 3. C4×#64541 | C2 | semidirect |
| 4. #11926763 | C2 | semidirect |
| 5. #11926756 | C2 | semidirect |
| 6. #11926568 | C2 | semidirect |
| 7. #11926553 | C2 | semidirect |
| 8. #11926549 | C2 | semidirect |
| 9. C2×C19×#124 | C2 | semidirect |
| 18. C2×#64528 | C22 | semidirect |
| 20. C2×#64527 | C22 | semidirect |
| 28. C4×D76 | C22 | semidirect |
| 31. C4×Dic38 | C22 | semidirect |
| 32. #10597292 | C22 | semidirect |
| 34. C4⋊(C19⋊C8) | C22 | semidirect |
| 123. C2×#124 | D19 | semidirect |
| 160. C19 | #3040 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597388 | 2 |
| C2×#10597378 | 2 |
| C4×#64541 | 2 |
| #11926763 | 2 |
| #11926756 | 2 |
| #11926568 | 2 |
| #11926553 | 2 |
| #11926549 | 2 |
| C2×C19×#124 | 2 |
| #3040 | 19 |