Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
332 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 85 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. #11927311 | C2 | semidirect |
| 3. #11926562 | C2 | semidirect |
| 4. #11926303 | C2 | semidirect |
| 5. C19×#410 | C2 | semidirect |
| 10. #10597393 | C4 | semidirect |
| 11. #10597390 | C4 | semidirect |
| 12. #10597386 | C4 | semidirect |
| 14. #10597382 | C4 | semidirect |
| 47. #64520 | D4 | semidirect |
| 94. #410 | D19 | semidirect |
| 116. C19 | #1884 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927311 | 2 |
| #11927090 | 2 |
| #11926562 | 2 |
| #11926303 | 2 |
| C19×#410 | 2 |
| #1884 | 19 |