Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
644 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 644 conjugacy classes of subgroups — too many to draw. Only its 107 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. #20243323 | C2 | semidirect |
| 3. #20243312 | C2 | semidirect |
| 5. #20241295 | C2 | semidirect |
| 6. #20241264 | C2 | semidirect |
| 28. C47×#451 | C4 | semidirect |
| 30. C47×#448 | C4 | semidirect |
| 262. #451 | Dic47 | semidirect |
| 264. #448 | Dic47 | semidirect |
| 283. C47 | #9519 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20252436 | 2 |
| #20243323 | 2 |
| #20243312 | 2 |
| #20241931 | 2 |
| #20241295 | 2 |
| #20241264 | 2 |
| C47×#3004 | 2 |
| #9519 | 47 |