Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
286 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 286 conjugacy classes of subgroups — too many to draw. Only its 65 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×#10597291 | C2 | semidirect |
| 3. #11926338 | C2 | semidirect |
| 4. #11926336 | C2 | semidirect |
| 5. C2×C19×#99 | C2 | semidirect |
| 7. C2×#64541 | C4 | semidirect |
| 12. #10597386 | C4 | semidirect |
| 16. #10597382 | C4 | semidirect |
| 18. #10597372 | C4 | semidirect |
| 41. C2×D76 | C2×C4 | semidirect |
| 43. C2×Dic38 | C2×C4 | semidirect |
| 54. C4×Dic19 | C2×C4 | semidirect |
| 55. C4×Dic19 | C2×C4 | semidirect |
| 121. C2×#99 | D19 | semidirect |
| 150. C19 | #2127 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927111 | 2 |
| C2×#10597291 | 2 |
| #11926338 | 2 |
| #11926336 | 2 |
| C2×C19×#99 | 2 |
| #2127 | 19 |