Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
668 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 668 conjugacy classes of subgroups — too many to draw. Only its 157 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. #11926479 | C2 | semidirect |
| 3. #11926466 | C2 | semidirect |
| 4. #11926455 | C2 | semidirect |
| 5. #11926416 | C2 | semidirect |
| 6. #11926404 | C2 | semidirect |
| 8. C2×C19×C22⋊Q8 | C2 | semidirect |
| 10. C22×Q8×C19 | C22 | semidirect |
| 14. C2×C4⋊C4×C19 | C22 | semidirect |
| 15. C2×C4⋊C4×C19 | C22 | semidirect |
| 23. C2×C4⋊Dic19 | C22 | semidirect |
| 24. C2×Dic19⋊C4 | C22 | semidirect |
| 25. C19⋊#95 | C22 | semidirect |
| 26. C19⋊#95 | C22 | semidirect |
| 32. C23×D19 | Q8 | semidirect |
| 111. C2×C22⋊Q8 | D19 | semidirect |
| 127. C22×Q8 | C2×D19 | semidirect |
| 133. C2×C4⋊C4 | C2×D19 | semidirect |
| 134. C2×C4⋊C4 | C2×D19 | semidirect |
| 144. C19 | #2626 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×(C2×D19)⋊C4 | 2 |
| #11926479 | 2 |
| #11926466 | 2 |
| #11926455 | 2 |
| #11926416 | 2 |
| #11926404 | 2 |
| #11926399 | 2 |
| C2×C19×C22⋊Q8 | 2 |
| #2626 | 19 |