Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
490 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 490 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 |
|---|---|---|
| 1. C2×#10597397 | C2 | semidirect |
| 2. C22×#64516 | C2 | semidirect |
| 4. #11927021 | C2 | semidirect |
| 5. #11926769 | C2 | semidirect |
| 6. #11926743 | C2 | semidirect |
| 7. #11926570 | C2 | semidirect |
| 8. #11926548 | C2 | semidirect |
| 9. C19×#416 | C2 | semidirect |
| 17. C2×#64528 | C22 | semidirect |
| 20. C2×#64526 | C22 | semidirect |
| 26. #10597333 | C22 | semidirect |
| 29. C19×#103 | C22 | semidirect |
| 30. C19×#102 | C22 | semidirect |
| 31. Dic19⋊C8 | C22 | semidirect |
| 49. C2×Dic38 | D4 | semidirect |
| 120. #416 | D19 | semidirect |
| 146. #103 | C2×D19 | semidirect |
| 148. #102 | C2×D19 | semidirect |
| 149. C19 | #3043 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597397 | 2 |
| C22×#64516 | 2 |
| #11927108 | 2 |
| #11927021 | 2 |
| #11926769 | 2 |
| #11926743 | 2 |
| #11926570 | 2 |
| #11926548 | 2 |
| C19×#416 | 2 |
| #3043 | 19 |