Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
330 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 330 conjugacy classes of subgroups — too many to draw. Only its 87 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. #20243541 | C2 | semidirect |
| 5. #20241283 | C2 | semidirect |
| 6. #20241216 | C2 | semidirect |
| 7. C47×#1301 | C2 | semidirect |
| 154. #1301 | D47 | semidirect |
| 177. C47 | #10627 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20244219 | 2 |
| #20243541 | 2 |
| #20242038 | 2 |
| #20242035 | 2 |
| #20241283 | 2 |
| #20241216 | 2 |
| C47×#1301 | 2 |
| #10627 | 47 |