Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
526 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 526 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×#10597378 | C2 | semidirect |
| 2. #11927111 | C2 | semidirect |
| 3. #11927019 | C2 | semidirect |
| 4. #11926757 | C2 | semidirect |
| 5. #11926737 | C2 | semidirect |
| 6. #11926570 | C2 | semidirect |
| 7. #11926549 | C2 | semidirect |
| 8. #11926541 | C2 | semidirect |
| 9. C22×D8×C19 | C2 | semidirect |
| 18. #10597386 | C22 | semidirect |
| 20. #10597382 | C22 | semidirect |
| 22. D4×Dic19 | C22 | semidirect |
| 23. C2×#64526 | C22 | semidirect |
| 25. C2×#64525 | C22 | semidirect |
| 29. #10597289 | C22 | semidirect |
| 30. #10597278 | C22 | semidirect |
| 31. #10597273 | C22 | semidirect |
| 32. Dic19⋊C8 | C22 | semidirect |
| 40. C2×D4×C19 | D4 | semidirect |
| 117. C22×D8 | D19 | semidirect |
| 154. C19 | #3041 | semidirect |
| 168. C2×D4 | C22⋊D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597378 | 2 |
| #11927111 | 2 |
| #11927019 | 2 |
| #11926757 | 2 |
| #11926737 | 2 |
| #11926570 | 2 |
| #11926549 | 2 |
| #11926541 | 2 |
| C22×D8×C19 | 2 |
| #3041 | 19 |