Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
1102 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 1102 conjugacy classes of subgroups — too many to draw. Only its 181 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. C23×C4×D19 | C2 | semidirect |
| 2. C2×#10597381 | C2 | semidirect |
| 4. #11926420 | C2 | semidirect |
| 5. #11926415 | C2 | semidirect |
| 6. #11926407 | C2 | semidirect |
| 7. #11926405 | C2 | semidirect |
| 8. #11926399 | C2 | semidirect |
| 9. C2×C19×#123 | C2 | semidirect |
| 20. C2×C4⋊C4×C19 | C22 | semidirect |
| 22. C2×C22⋊C4×C19 | C22 | semidirect |
| 25. C2×C22⋊Dic19 | C22 | semidirect |
| 30. C2×Dic19⋊C4 | C22 | semidirect |
| 31. C19⋊#95 | C22 | semidirect |
| 32. C19⋊#95 | C22 | semidirect |
| 45. C22×C4×C19 | D4 | semidirect |
| 53. C22×Dic19 | D4 | semidirect |
| 126. C2×D19 | #123 | semidirect |
| 135. C2×#123 | D19 | semidirect |
| 162. C2×C4⋊C4 | C2×D19 | semidirect |
| 169. C2×C22⋊C4 | C2×D19 | semidirect |
| 172. C19 | #2849 | semidirect |
| 197. C22×C4 | C22⋊D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×C4×D19 | 2 |
| C2×#10597381 | 2 |
| C2×#10597383 | 2 |
| #11926420 | 2 |
| #11926415 | 2 |
| #11926407 | 2 |
| #11926405 | 2 |
| #11926399 | 2 |
| C2×C19×#123 | 2 |
| #2849 | 19 |