Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
248 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 65 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. #20245290 | C2 | semidirect |
| 3. #20242749 | C2 | semidirect |
| 4. #20242745 | C2 | semidirect |
| 5. #20241459 | C2 | semidirect |
| 6. #20241435 | C2 | semidirect |
| 7. C47×#1361 | C2 | semidirect |
| 71. C47⋊C16 | SD16 | semidirect |
| 90. Dic94 | D16 | semidirect |
| 118. #1361 | D47 | semidirect |
| 139. C47 | #12439 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20245637 | 2 |
| #20245290 | 2 |
| #20242749 | 2 |
| #20242745 | 2 |
| #20241459 | 2 |
| #20241435 | 2 |
| C47×#1361 | 2 |
| #12439 | 47 |