Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
482 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 113 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×#15688943 | C2 | semidirect |
| 3. C2×#15688938 | C2 | semidirect |
| 4. #20245109 | C2 | semidirect |
| 6. #20243270 | C2 | semidirect |
| 13. #15689506 | C4 | semidirect |
| 191. C47 | #13260 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15689506 | 2 |
| C2×#15688943 | 2 |
| C2×#15688938 | 2 |
| #20245109 | 2 |
| #20245104 | 2 |
| #20243270 | 2 |
| C2×C47×#361 | 2 |
| #13260 | 47 |