Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
464 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 127 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. #20245554 | C2 | semidirect |
| 3. #20245551 | C2 | semidirect |
| 6. #20245437 | C2 | semidirect |
| 7. #20245436 | C2 | semidirect |
| 174. C47 | #33827 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20254040 | 2 |
| #20245554 | 2 |
| #20245551 | 2 |
| #20245494 | 2 |
| #20245479 | 2 |
| #20245437 | 2 |
| #20245436 | 2 |
| #20245146 | 2 |
| C47×#2216 | 2 |
| #33827 | 47 |