Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
490 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 490 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 |
|---|---|---|
| 2. #20243851 | C2 | semidirect |
| 3. #20243826 | C2 | semidirect |
| 4. #20241957 | C2 | semidirect |
| 5. #20241747 | C2 | semidirect |
| 6. #20241293 | C2 | semidirect |
| 7. C47×#1855 | C2 | semidirect |
| 219. #1855 | 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 |
| #20243851 | 2 |
| #20243826 | 2 |
| #20241957 | 2 |
| #20241747 | 2 |
| #20241293 | 2 |
| C47×#1855 | 2 |
| #10560 | 47 |