Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
320 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 320 conjugacy classes of subgroups — too many to draw. Only its 67 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. #20245077 | C2 | semidirect |
| 3. #20241562 | C2 | semidirect |
| 4. #20241544 | C2 | semidirect |
| 5. C47×#2129 | C2 | semidirect |
| 6. #15689728 | C4 | semidirect |
| 8. #15689497 | C4 | semidirect |
| 9. #15689491 | C4 | semidirect |
| 15. #15689184 | C4 | semidirect |
| 146. #2129 | D47 | semidirect |
| 171. C47 | #13606 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20254449 | 2 |
| #20245077 | 2 |
| #20241562 | 2 |
| #20241544 | 2 |
| C47×#2129 | 2 |
| #13606 | 47 |