Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
530 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 530 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 3. #20244361 | C2 | semidirect |
| 4. #20244208 | C2 | semidirect |
| 5. #20241270 | C2 | semidirect |
| 6. #20241270 | C2 | semidirect |
| 10. #15689482 | C4 | semidirect |
| 36. #13094024 | C2×C4 | semidirect |
| 53. #13093935 | C2×C4 | semidirect |
| 246. C47 | #8999 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15689482 | 2 |
| #20246562 | 2 |
| #20244361 | 2 |
| #20244208 | 2 |
| #20241270 | 2 |
| C2×C47×#329 | 2 |
| #8999 | 47 |