Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
552 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 552 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×#10597364 | C2 | semidirect |
| 2. C2×#10597361 | C2 | semidirect |
| 4. C4⋊Q8×D19 | C2 | semidirect |
| 5. #11926939 | C2 | semidirect |
| 6. #11926938 | C2 | semidirect |
| 7. #11926936 | C2 | semidirect |
| 8. #11926922 | C2 | semidirect |
| 9. #11926915 | C2 | semidirect |
| 10. #11926496 | C2 | semidirect |
| 11. C19×#497 | C2 | semidirect |
| 79. #64515 | D4 | semidirect |
| 125. Dic19 | #137 | semidirect |
| 133. #497 | D19 | semidirect |
| 171. C19 | #3152 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597364 | 2 |
| C2×#10597361 | 2 |
| #11927093 | 2 |
| C4⋊Q8×D19 | 2 |
| #11926939 | 2 |
| #11926938 | 2 |
| #11926936 | 2 |
| #11926922 | 2 |
| #11926915 | 2 |
| #11926496 | 2 |
| C19×#497 | 2 |
| #3152 | 19 |