Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
446 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 446 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 |
|---|---|---|
| 1. C2×#10597397 | C2 | semidirect |
| 2. C2×#10597397 | C2 | semidirect |
| 3. #11927311 | C2 | semidirect |
| 4. #11926817 | C2 | semidirect |
| 5. #11926805 | C2 | semidirect |
| 6. #11926592 | C2 | semidirect |
| 7. #11926528 | C2 | semidirect |
| 8. C2×#10597281 | C2 | semidirect |
| 26. C2×#64528 | C22 | semidirect |
| 28. C2×#64526 | C22 | semidirect |
| 33. #10597293 | C22 | semidirect |
| 34. #10597290 | C22 | semidirect |
| 35. #10597281 | C22 | semidirect |
| 36. #10597279 | C22 | semidirect |
| 179. C19 | #3069 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597397 | 2 |
| #11927311 | 2 |
| #11926817 | 2 |
| #11926805 | 2 |
| #11926592 | 2 |
| #11926528 | 2 |
| C2×#10597281 | 2 |
| C19×#575 | 2 |
| #3069 | 19 |