Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
296 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 91 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. #20245616 | C2 | semidirect |
| 3. #20243006 | C2 | semidirect |
| 5. C47×#1312 | C2 | semidirect |
| 64. C8×C47 | SD32 | semidirect |
| 80. #1312 | D47 | semidirect |
| 96. C47 | #12526 | semidirect |
| 144. C8 | #13093969 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20245644 | 2 |
| #20245616 | 2 |
| #20243006 | 2 |
| #20242980 | 2 |
| C47×#1312 | 2 |
| #12526 | 47 |