Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
318 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 318 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. #20245645 | C2 | semidirect |
| 2. #20245612 | C2 | semidirect |
| 3. #20245611 | C2 | semidirect |
| 5. #20242982 | C2 | semidirect |
| 6. #20241307 | C2 | semidirect |
| 7. C47×#2248 | C2 | semidirect |
| 94. C47⋊C8 | SD32 | semidirect |
| 110. #2248 | D47 | semidirect |
| 136. C47 | #12529 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20245645 | 2 |
| #20245612 | 2 |
| #20245611 | 2 |
| #20243002 | 2 |
| #20242982 | 2 |
| #20241307 | 2 |
| C47×#2248 | 2 |
| #12529 | 47 |