Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
564 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 97 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. #20253736 | C2 | semidirect |
| 3. #20244213 | C2 | semidirect |
| 4. #20241952 | C2 | semidirect |
| 5. #20241949 | C2 | semidirect |
| 6. #20241232 | C2 | semidirect |
| 7. C47×#3208 | C2 | semidirect |
| 190. #3208 | D47 | semidirect |
| 227. C47 | #10219 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20254306 | 2 |
| #20253736 | 2 |
| #20244213 | 2 |
| #20241952 | 2 |
| #20241949 | 2 |
| #20241232 | 2 |
| C47×#3208 | 2 |
| #10219 | 47 |