Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
398 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 85 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. #20252493 | C2 | semidirect |
| 3. #20242099 | C2 | semidirect |
| 6. #20241251 | C2 | semidirect |
| 7. C47×#1308 | C2 | semidirect |
| 154. #1308 | D47 | semidirect |
| 180. C47 | #9334 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20254393 | 2 |
| #20252493 | 2 |
| #20242099 | 2 |
| #20242011 | 2 |
| #20241741 | 2 |
| #20241251 | 2 |
| C47×#1308 | 2 |
| #9334 | 47 |