Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
676 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 676 conjugacy classes of subgroups — too many to draw. Only its 165 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. C2×#10597393 | C2 | semidirect |
| 3. C2×Q8×Dic19 | C2 | semidirect |
| 4. #11926460 | C2 | semidirect |
| 5. #11926447 | C2 | semidirect |
| 6. #11926446 | C2 | semidirect |
| 7. #11926444 | C2 | semidirect |
| 8. C4×Dic19⋊C4 | C2 | semidirect |
| 9. C2×C19×#124 | C2 | semidirect |
| 35. C2×Q8×C19 | D4 | semidirect |
| 120. Dic19 | #124 | semidirect |
| 123. C2×#124 | D19 | semidirect |
| 158. C19 | #2548 | semidirect |
| 163. C2×Q8 | C22⋊D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597386 | 2 |
| C2×#10597393 | 2 |
| C2×Q8×Dic19 | 2 |
| #11926460 | 2 |
| #11926447 | 2 |
| #11926446 | 2 |
| #11926444 | 2 |
| C4×Dic19⋊C4 | 2 |
| C2×C19×#124 | 2 |
| #2548 | 19 |