Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
490 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 141 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×#10597355 | C2 | semidirect |
| 2. C22×#64516 | C2 | semidirect |
| 4. #11927021 | C2 | semidirect |
| 5. #11926767 | C2 | semidirect |
| 6. #11926745 | C2 | semidirect |
| 7. #11926550 | C2 | semidirect |
| 8. #11926541 | C2 | semidirect |
| 9. C19×#424 | C2 | semidirect |
| 18. C2×Dic76 | C22 | semidirect |
| 21. C2×#64516 | C22 | semidirect |
| 28. C4×Dic38 | C22 | semidirect |
| 29. C19×C4⋊C8 | C22 | semidirect |
| 31. #10597278 | C22 | semidirect |
| 32. #10597273 | C22 | semidirect |
| 48. C2×Dic38 | D4 | semidirect |
| 118. #424 | D19 | semidirect |
| 145. C4⋊C8 | 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×#10597355 | 2 |
| C22×#64516 | 2 |
| #11927113 | 2 |
| #11927021 | 2 |
| #11926767 | 2 |
| #11926745 | 2 |
| #11926550 | 2 |
| #11926541 | 2 |
| C19×#424 | 2 |
| #3043 | 19 |