Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
538 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 538 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 4. #20242069 | C2 | semidirect |
| 5. #20241290 | C2 | semidirect |
| 6. #20241289 | C2 | semidirect |
| 7. C47×#1548 | C2 | semidirect |
| 169. #1548 | D47 | semidirect |
| 196. C47 | #9391 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20252411 | 2 |
| #20248562 | 2 |
| #20243377 | 2 |
| #20242069 | 2 |
| #20241290 | 2 |
| #20241289 | 2 |
| C47×#1548 | 2 |
| #9391 | 47 |