Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
630 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 630 conjugacy classes of subgroups — too many to draw. Only its 107 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. #20244380 | C2 | semidirect |
| 3. #20242116 | C2 | semidirect |
| 5. #20241808 | C2 | semidirect |
| 6. #20241743 | C2 | semidirect |
| 272. C47 | #8485 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20257991 | 2 |
| #20244380 | 2 |
| #20242116 | 2 |
| #20241995 | 2 |
| #20241808 | 2 |
| #20241743 | 2 |
| C47×#1495 | 2 |
| #8485 | 47 |