Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
1134 conjugacy classes of subgroups; only the 191 normal subgroups are shown.
This group has 1134 conjugacy classes of subgroups — too many to draw. Only its 191 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. #20254518 | C2 | semidirect |
| 3. #20248600 | C2 | semidirect |
| 4. #20242427 | C2 | semidirect |
| 5. #20241884 | C2 | semidirect |
| 6. C47×#1461 | C2 | semidirect |
| 179. #1461 | D47 | semidirect |
| 208. C47 | #18409 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20257159 | 2 |
| #20254518 | 2 |
| #20248600 | 2 |
| #20242427 | 2 |
| #20241884 | 2 |
| C47×#1461 | 2 |
| #18409 | 47 |