Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
186 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 186 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 |
|---|---|---|
| 1. #20245681 | C2 | semidirect |
| 3. #20241585 | C2 | semidirect |
| 4. #20241531 | C2 | semidirect |
| 5. #20241530 | C2 | semidirect |
| 6. C32×Dic47 | C2 | semidirect |
| 7. C47×#2258 | C2 | semidirect |
| 89. #2258 | D47 | semidirect |
| 114. C47 | #13647 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20245681 | 2 |
| #20245223 | 2 |
| #20241585 | 2 |
| #20241531 | 2 |
| #20241530 | 2 |
| C32×Dic47 | 2 |
| C47×#2258 | 2 |
| #13647 | 47 |