Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
316 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 61 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. #20245591 | C2 | semidirect |
| 4. #20244883 | C2 | semidirect |
| 5. #20241399 | C2 | semidirect |
| 6. #20241327 | C2 | semidirect |
| 179. C47 | #12293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20254734 | 2 |
| #20245591 | 2 |
| #20245571 | 2 |
| #20244883 | 2 |
| #20241399 | 2 |
| #20241327 | 2 |
| C47×#1347 | 2 |
| #12293 | 47 |