Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
468 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 468 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 |
|---|---|---|
| 1. C2×#10597370 | C2 | semidirect |
| 2. #11926874 | C2 | semidirect |
| 3. #11926860 | C2 | semidirect |
| 4. #11926771 | C2 | semidirect |
| 5. #11926695 | C2 | semidirect |
| 6. #11926682 | C2 | semidirect |
| 7. C2×C22⋊(C19⋊C8) | C2 | semidirect |
| 12. C22×Dic38 | C22 | semidirect |
| 20. C2×#64526 | C22 | semidirect |
| 21. C2×C4⋊Dic19 | C22 | semidirect |
| 25. #10597370 | C22 | semidirect |
| 27. C22×C19⋊C8 | C22 | semidirect |
| 28. #10597289 | C22 | semidirect |
| 30. C22⋊(C19⋊C8) | C22 | semidirect |
| 31. #10597267 | C22 | semidirect |
| 32. #10597265 | C22 | semidirect |
| 73. C23×C19 | SD16 | semidirect |
| 162. C19 | #3187 | semidirect |
| 203. C23 | #64526 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597370 | 2 |
| #11926874 | 2 |
| #11926860 | 2 |
| #11926771 | 2 |
| #11926695 | 2 |
| #11926682 | 2 |
| C2×C22⋊(C19⋊C8) | 2 |
| C2×C19×#121 | 2 |
| #3187 | 19 |