Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
296 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 296 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 |
|---|---|---|
| 3. #20245617 | C2 | semidirect |
| 4. #20243004 | C2 | semidirect |
| 6. #20241307 | C2 | semidirect |
| 7. C47×#2241 | C2 | semidirect |
| 91. C47⋊C8 | SD32 | semidirect |
| 107. #2241 | D47 | semidirect |
| 130. C47 | #12526 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20245645 | 2 |
| #20245644 | 2 |
| #20245617 | 2 |
| #20243004 | 2 |
| #20242981 | 2 |
| #20241307 | 2 |
| C47×#2241 | 2 |
| #12526 | 47 |