Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
960 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 960 conjugacy classes of subgroups — too many to draw. Only its 123 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. #20244205 | C2 | semidirect |
| 3. #20244204 | C2 | semidirect |
| 4. C2×#15688862 | C2 | semidirect |
| 5. C2×C47×#329 | C2 | semidirect |
| 8. #15689865 | C4 | semidirect |
| 18. C2×#13093935 | C22 | semidirect |
| 19. #15688993 | C22 | semidirect |
| 22. C2×#97×C47 | C22 | semidirect |
| 196. C2×#329 | D47 | semidirect |
| 218. C2×#97 | C2×D47 | semidirect |
| 222. C47 | #8506 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15689865 | 2 |
| #20244205 | 2 |
| #20244204 | 2 |
| C2×#15688862 | 2 |
| C2×C47×#329 | 2 |
| #8506 | 47 |