Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
484 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 111 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. #20243554 | C2 | semidirect |
| 3. #20243523 | C2 | semidirect |
| 5. #20241270 | C2 | semidirect |
| 6. #20241270 | C2 | semidirect |
| 22. #15688863 | C4 | semidirect |
| 44. #13093935 | C2×C4 | semidirect |
| 45. #13093935 | C2×C4 | semidirect |
| 229. C47 | #8911 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20246562 | 2 |
| #20243554 | 2 |
| #20243523 | 2 |
| C2×#15688863 | 2 |
| #20241270 | 2 |
| C47×#1959 | 2 |
| #8911 | 47 |