Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
408 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 79 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 |
|---|---|---|
| 1. #20245073 | C2 | semidirect |
| 2. #20245053 | C2 | semidirect |
| 3. #20241548 | C2 | semidirect |
| 4. #20241545 | C2 | semidirect |
| 14. C47×#532 | C4 | semidirect |
| 17. C47×#497 | C4 | semidirect |
| 20. C47×#496 | C4 | semidirect |
| 22. C2×#97×C47 | C4 | semidirect |
| 180. #532 | Dic47 | semidirect |
| 183. #497 | Dic47 | semidirect |
| 186. #496 | Dic47 | semidirect |
| 190. C2×#97 | Dic47 | semidirect |
| 195. C47 | #13577 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20245073 | 2 |
| #20245053 | 2 |
| #20241548 | 2 |
| #20241545 | 2 |
| C47×#3150 | 2 |
| #13577 | 47 |