Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
462 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 137 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. #11926868 | C2 | semidirect |
| 3. #11926862 | C2 | semidirect |
| 4. #11926857 | C2 | semidirect |
| 5. #11926587 | C2 | semidirect |
| 6. #11926548 | C2 | semidirect |
| 7. #11926508 | C2 | semidirect |
| 8. C2×C19×#117 | C2 | semidirect |
| 15. C19×#117 | C22 | semidirect |
| 16. C2×C4⋊C4×C19 | C22 | semidirect |
| 17. C2×C4⋊C4×C19 | C22 | semidirect |
| 27. C22⋊(C19⋊C8) | C22 | semidirect |
| 28. C22⋊(C19⋊C8) | C22 | semidirect |
| 29. #10597266 | C22 | semidirect |
| 30. #10597266 | C22 | semidirect |
| 31. #10597265 | C22 | semidirect |
| 32. #10597264 | C22 | semidirect |
| 120. C2×#117 | D19 | semidirect |
| 145. #117 | C2×D19 | semidirect |
| 147. C2×C4⋊C4 | C2×D19 | semidirect |
| 148. C2×C4⋊C4 | C2×D19 | semidirect |
| 158. C19 | #3094 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597376 | 2 |
| #11926868 | 2 |
| #11926862 | 2 |
| #11926857 | 2 |
| #11926587 | 2 |
| #11926548 | 2 |
| #11926508 | 2 |
| C2×C19×#117 | 2 |
| #3094 | 19 |