Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
812 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 812 conjugacy classes of subgroups — too many to draw. Only its 101 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. #20247042 | C2 | semidirect |
| 3. #20244225 | C2 | semidirect |
| 4. #20243323 | C2 | semidirect |
| 5. #20241957 | C2 | semidirect |
| 6. #20241234 | C2 | semidirect |
| 7. C2×C47×#448 | C2 | semidirect |
| 235. C2×#448 | D47 | semidirect |
| 273. C47 | #9948 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20254136 | 2 |
| #20247042 | 2 |
| #20244225 | 2 |
| #20243323 | 2 |
| #20241957 | 2 |
| #20241234 | 2 |
| C2×C47×#448 | 2 |
| #9948 | 47 |