Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
480 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 480 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. #20244227 | C2 | semidirect |
| 3. #20242101 | C2 | semidirect |
| 4. #20241995 | C2 | semidirect |
| 5. #20241299 | C2 | semidirect |
| 6. #20241259 | C2 | semidirect |
| 7. C47×#2995 | C2 | semidirect |
| 198. #2995 | D47 | semidirect |
| 235. C47 | #9340 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20254403 | 2 |
| #20244227 | 2 |
| #20242101 | 2 |
| #20241995 | 2 |
| #20241299 | 2 |
| #20241259 | 2 |
| C47×#2995 | 2 |
| #9340 | 47 |