Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
414 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 125 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. C2×#10597338 | C2 | semidirect |
| 3. #11926884 | C2 | semidirect |
| 4. #11926883 | C2 | semidirect |
| 5. #11926867 | C2 | semidirect |
| 6. #11926866 | C2 | semidirect |
| 7. #11926586 | C2 | semidirect |
| 8. #11926584 | C2 | semidirect |
| 9. #11926545 | C2 | semidirect |
| 10. #11926507 | C2 | semidirect |
| 11. C19×#417 | C2 | semidirect |
| 33. C19×#103 | C22 | semidirect |
| 34. C19×#102 | C22 | semidirect |
| 35. #10597292 | C22 | semidirect |
| 36. #10597289 | C22 | semidirect |
| 39. #10597275 | C22 | semidirect |
| 40. #10597274 | C22 | semidirect |
| 41. #10597265 | C22 | semidirect |
| 42. #10597264 | C22 | semidirect |
| 155. #417 | D19 | semidirect |
| 190. #103 | C2×D19 | semidirect |
| 192. #102 | C2×D19 | semidirect |
| 195. C19 | #3093 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927051 | 2 |
| C2×#10597338 | 2 |
| #11926884 | 2 |
| #11926883 | 2 |
| #11926867 | 2 |
| #11926866 | 2 |
| #11926586 | 2 |
| #11926584 | 2 |
| #11926545 | 2 |
| #11926507 | 2 |
| C19×#417 | 2 |
| #3093 | 19 |