Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
422 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 422 conjugacy classes of subgroups — too many to draw. Only its 115 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×#15688938 | C2 | semidirect |
| 4. #20244984 | C2 | semidirect |
| 5. #20244301 | C2 | semidirect |
| 7. C2×C47×#368 | C2 | semidirect |
| 13. C2×#13093969 | C4 | semidirect |
| 156. C2×#368 | D47 | semidirect |
| 187. C47 | #13246 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13093969 | 2 |
| C2×#15688938 | 2 |
| C2×#15688935 | 2 |
| #20244984 | 2 |
| #20244301 | 2 |
| #20244296 | 2 |
| C2×C47×#368 | 2 |
| #13246 | 47 |