Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
490 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 77 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. #20243849 | C2 | semidirect |
| 3. #20243824 | C2 | semidirect |
| 4. #20243592 | C2 | semidirect |
| 5. #20241955 | C2 | semidirect |
| 6. #20241749 | C2 | semidirect |
| 7. C47×#1305 | C2 | semidirect |
| 222. #1305 | D47 | semidirect |
| 253. C47 | #10560 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20254188 | 2 |
| #20243849 | 2 |
| #20243824 | 2 |
| #20243592 | 2 |
| #20241955 | 2 |
| #20241749 | 2 |
| C47×#1305 | 2 |
| #10560 | 47 |