Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
440 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 145 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. #11926841 | C2 | semidirect |
| 3. #11926831 | C2 | semidirect |
| 4. #11926821 | C2 | semidirect |
| 5. #11926587 | C2 | semidirect |
| 6. #11926568 | C2 | semidirect |
| 8. C19×#533 | C2 | semidirect |
| 11. C19×C4⋊Q8 | C22 | semidirect |
| 12. C19×C4⋊Q8 | C22 | semidirect |
| 13. C19×#125 | C22 | semidirect |
| 29. #10597265 | C22 | semidirect |
| 30. #10597264 | C22 | semidirect |
| 31. C4⋊(C19⋊C8) | C22 | semidirect |
| 32. C4⋊(C19⋊C8) | C22 | semidirect |
| 42. C2×D76 | Q8 | semidirect |
| 111. #533 | D19 | semidirect |
| 127. C4⋊Q8 | C2×D19 | semidirect |
| 128. C4⋊Q8 | C2×D19 | semidirect |
| 129. #125 | C2×D19 | semidirect |
| 148. C19 | #3077 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×D76 | 2 |
| #11926841 | 2 |
| #11926831 | 2 |
| #11926821 | 2 |
| #11926587 | 2 |
| #11926568 | 2 |
| #11926548 | 2 |
| C19×#533 | 2 |
| #3077 | 19 |