Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
424 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 109 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. #20245174 | C2 | semidirect |
| 5. #20241485 | C2 | semidirect |
| 6. #20241477 | C2 | semidirect |
| 7. C47×#1952 | C2 | semidirect |
| 19. #15688935 | C4 | semidirect |
| 40. #13093964 | C2×C4 | semidirect |
| 56. #108×C47 | C2×C4 | semidirect |
| 158. #1952 | D47 | semidirect |
| 185. C47 | #12940 | semidirect |
| 211. #108 | C4×D47 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20252241 | 2 |
| #20245174 | 2 |
| C2×#15688935 | 2 |
| C2×#15688923 | 2 |
| #20241485 | 2 |
| #20241477 | 2 |
| C47×#1952 | 2 |
| #12940 | 47 |