Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
404 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 133 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. #11926910 | C2 | semidirect |
| 3. #11926906 | C2 | semidirect |
| 4. #11926901 | C2 | semidirect |
| 5. #11926892 | C2 | semidirect |
| 6. #11926548 | C2 | semidirect |
| 7. #11926543 | C2 | semidirect |
| 8. #11926538 | C2 | semidirect |
| 9. C2×#10597266 | C2 | semidirect |
| 10. #11926500 | C2 | semidirect |
| 11. C19×#544 | C2 | semidirect |
| 15. C19×C4⋊Q8 | C22 | semidirect |
| 17. C19×#125 | C22 | semidirect |
| 29. #10597267 | C22 | semidirect |
| 30. #10597267 | C22 | semidirect |
| 31. #10597267 | C22 | semidirect |
| 36. #10597266 | C22 | semidirect |
| 37. #10597266 | C22 | semidirect |
| 38. #10597266 | C22 | semidirect |
| 39. #10597260 | C22 | semidirect |
| 40. C4×C19⋊C8 | C22 | semidirect |
| 130. #544 | D19 | semidirect |
| 152. C4⋊Q8 | C2×D19 | semidirect |
| 155. #125 | C2×D19 | semidirect |
| 176. C19 | #3136 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927113 | 2 |
| #11926910 | 2 |
| #11926906 | 2 |
| #11926901 | 2 |
| #11926892 | 2 |
| #11926548 | 2 |
| #11926543 | 2 |
| #11926538 | 2 |
| C2×#10597266 | 2 |
| #11926500 | 2 |
| C19×#544 | 2 |
| #3136 | 19 |