Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
358 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 119 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. #20245161 | C2 | semidirect |
| 5. #20241485 | C2 | semidirect |
| 6. #20241483 | C2 | semidirect |
| 7. C47×#2155 | C2 | semidirect |
| 11. C2×#13093963 | C4 | semidirect |
| 13. C2×C16×D47 | C4 | semidirect |
| 137. #2155 | D47 | semidirect |
| 164. C47 | #12832 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15689541 | 2 |
| #20245161 | 2 |
| #20243435 | 2 |
| #20243431 | 2 |
| #20241485 | 2 |
| #20241483 | 2 |
| C47×#2155 | 2 |
| #12832 | 47 |