Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
418 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 418 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. #11927027 | C2 | semidirect |
| 3. #11926869 | C2 | semidirect |
| 4. #11926869 | C2 | semidirect |
| 5. #11926863 | C2 | semidirect |
| 6. #11926858 | C2 | semidirect |
| 7. #11926586 | C2 | semidirect |
| 8. #11926582 | C2 | semidirect |
| 9. #11926550 | C2 | semidirect |
| 10. C2×#10597278 | C2 | semidirect |
| 11. C19×#408 | C2 | semidirect |
| 26. #10597372 | C22 | semidirect |
| 28. C2×C4⋊Dic19 | C22 | semidirect |
| 29. C19×C22⋊C8 | C22 | semidirect |
| 30. C19×C22⋊C8 | C22 | semidirect |
| 35. #10597275 | C22 | semidirect |
| 36. #10597275 | C22 | semidirect |
| 37. #10597275 | C22 | semidirect |
| 38. #10597274 | C22 | semidirect |
| 39. #10597274 | C22 | semidirect |
| 40. #10597274 | C22 | semidirect |
| 139. #408 | D19 | semidirect |
| 173. C22⋊C8 | C2×D19 | semidirect |
| 174. C22⋊C8 | C2×D19 | semidirect |
| 175. C19 | #3096 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927108 | 2 |
| #11927027 | 2 |
| #11926869 | 2 |
| #11926863 | 2 |
| #11926858 | 2 |
| #11926586 | 2 |
| #11926582 | 2 |
| #11926550 | 2 |
| C2×#10597278 | 2 |
| C19×#408 | 2 |
| #3096 | 19 |