Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
372 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 83 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. #20245007 | C2 | semidirect |
| 3. #20241339 | C2 | semidirect |
| 4. #20241325 | C2 | semidirect |
| 5. C47×#1327 | C2 | semidirect |
| 135. #1327 | D47 | semidirect |
| 155. C47 | #11485 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20252099 | 2 |
| #20245007 | 2 |
| #20241339 | 2 |
| #20241325 | 2 |
| C47×#1327 | 2 |
| #11485 | 47 |