Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
702 conjugacy classes of subgroups; only the 219 normal subgroups are shown.
This group has 702 conjugacy classes of subgroups — too many to draw. Only its 219 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 |
|---|---|---|
| 3. #20243950 | C2 | semidirect |
| 4. #20243249 | C2 | semidirect |
| 6. #20243075 | C2 | semidirect |
| 7. C47×#1840 | C2 | semidirect |
| 116. #1840 | D47 | semidirect |
| 141. C47 | #21668 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20246686 | 2 |
| #20243999 | 2 |
| #20243950 | 2 |
| #20243249 | 2 |
| #20243158 | 2 |
| #20243075 | 2 |
| C47×#1840 | 2 |
| #21668 | 47 |