Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
500 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 500 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×#10597355 | C2 | semidirect |
| 3. C2×#10597321 | C2 | semidirect |
| 4. C4×#64541 | C2 | semidirect |
| 5. #11926767 | C2 | semidirect |
| 6. #11926760 | C2 | semidirect |
| 7. #11926554 | C2 | semidirect |
| 8. #11926550 | C2 | semidirect |
| 9. C19×#423 | C2 | semidirect |
| 21. C2×Dic76 | C22 | semidirect |
| 24. C2×#64516 | C22 | semidirect |
| 28. C4×D76 | C22 | semidirect |
| 31. C4×Dic38 | C22 | semidirect |
| 32. C19×C4⋊C8 | C22 | semidirect |
| 34. #10597273 | C22 | semidirect |
| 127. #423 | D19 | semidirect |
| 157. C4⋊C8 | C2×D19 | semidirect |
| 160. C19 | #3040 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597355 | 2 |
| C2×#10597354 | 2 |
| C2×#10597321 | 2 |
| C4×#64541 | 2 |
| #11926767 | 2 |
| #11926760 | 2 |
| #11926554 | 2 |
| #11926550 | 2 |
| C19×#423 | 2 |
| #3040 | 19 |