Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
400 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 91 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. #20243530 | C2 | semidirect |
| 3. #20243530 | C2 | semidirect |
| 4. #20241211 | C2 | semidirect |
| 7. C47×#1271 | C2 | semidirect |
| 188. #1271 | D47 | semidirect |
| 218. C47 | #7726 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20251756 | 2 |
| #20243530 | 2 |
| #20241211 | 2 |
| #20241208 | 2 |
| C47×#1271 | 2 |
| #7726 | 47 |