Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
272 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 272 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 |
|---|---|---|
| 1. #20245670 | C2 | semidirect |
| 2. #20245668 | C2 | semidirect |
| 4. #20243005 | C2 | semidirect |
| 6. #20241307 | C2 | semidirect |
| 123. C47 | #12532 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20245670 | 2 |
| #20245668 | 2 |
| #20245611 | 2 |
| #20243005 | 2 |
| #20242977 | 2 |
| #20241307 | 2 |
| C47×#2240 | 2 |
| #12532 | 47 |