Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
486 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 486 conjugacy classes of subgroups — too many to draw. Only its 71 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. #20245073 | C2 | semidirect |
| 3. #20241543 | C2 | semidirect |
| 4. C47×#1560 | C2 | semidirect |
| 14. #15688922 | C22 | semidirect |
| 18. C47×#333 | C22 | semidirect |
| 173. #1560 | D47 | semidirect |
| 194. #333 | C2×D47 | semidirect |
| 196. C47 | #13574 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20252736 | 2 |
| #20245073 | 2 |
| #20241543 | 2 |
| C47×#1560 | 2 |
| #13574 | 47 |