Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
400 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 117 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. #11927100 | C2 | semidirect |
| 3. #11926905 | C2 | semidirect |
| 4. #11926902 | C2 | semidirect |
| 5. #11926901 | C2 | semidirect |
| 6. #11926899 | C2 | semidirect |
| 7. #11926898 | C2 | semidirect |
| 8. #11926551 | C2 | semidirect |
| 10. C4×#64515 | C2 | semidirect |
| 11. C19×#488 | C2 | semidirect |
| 14. C19×#125 | C22 | semidirect |
| 21. #10597334 | C22 | semidirect |
| 27. #10597316 | C22 | semidirect |
| 28. C19×#103 | C22 | semidirect |
| 30. C4×C8×C19 | C22 | semidirect |
| 31. #10597292 | C22 | semidirect |
| 34. #10597273 | C22 | semidirect |
| 35. #10597272 | C22 | semidirect |
| 36. #10597267 | C22 | semidirect |
| 38. C4×C19⋊C8 | C22 | semidirect |
| 118. #488 | D19 | semidirect |
| 132. #125 | C2×D19 | semidirect |
| 146. #103 | C2×D19 | semidirect |
| 153. C4×C8 | C2×D19 | semidirect |
| 154. C19 | #3140 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927100 | 2 |
| #124×D19 | 2 |
| #11926905 | 2 |
| #11926902 | 2 |
| #11926901 | 2 |
| #11926899 | 2 |
| #11926898 | 2 |
| #11926551 | 2 |
| #11926547 | 2 |
| C4×#64515 | 2 |
| C19×#488 | 2 |
| #3140 | 19 |