Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
572 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 153 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×#10597350 | C2 | semidirect |
| 2. C2×#10597396 | C2 | semidirect |
| 3. #11927090 | C2 | semidirect |
| 4. #11926929 | C2 | semidirect |
| 5. #11926927 | C2 | semidirect |
| 6. #11926925 | C2 | semidirect |
| 7. #11926922 | C2 | semidirect |
| 8. #11926919 | C2 | semidirect |
| 9. #11926915 | C2 | semidirect |
| 10. C2×C8×Dic19 | C2 | semidirect |
| 11. C2×C19×#135 | C2 | semidirect |
| 58. C2×C8×C19 | D4 | semidirect |
| 71. C2×C19⋊C8 | D4 | semidirect |
| 120. Dic19 | #135 | semidirect |
| 123. C2×#135 | D19 | semidirect |
| 165. C19 | #3147 | semidirect |
| 194. C2×C8 | C22⋊D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597350 | 2 |
| C2×#10597396 | 2 |
| #11927090 | 2 |
| #11926929 | 2 |
| #11926927 | 2 |
| #11926925 | 2 |
| #11926922 | 2 |
| #11926919 | 2 |
| #11926915 | 2 |
| C2×C8×Dic19 | 2 |
| C2×C19×#135 | 2 |
| #3147 | 19 |