Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
538 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 538 conjugacy classes of subgroups — too many to draw. Only its 99 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. #20252517 | C2 | semidirect |
| 3. #20244228 | C2 | semidirect |
| 4. #20242055 | C2 | semidirect |
| 5. #20241828 | C2 | semidirect |
| 6. C47⋊#1309 | C2 | semidirect |
| 7. C47×#1299 | C2 | semidirect |
| 166. Dic94 | #100 | semidirect |
| 203. #1299 | D47 | semidirect |
| 233. C47 | #9360 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20252869 | 2 |
| #20252517 | 2 |
| #20244228 | 2 |
| #20242055 | 2 |
| #20241828 | 2 |
| C47⋊#1309 | 2 |
| C47×#1299 | 2 |
| #9360 | 47 |