Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
314 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 97 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. #20245161 | C2 | semidirect |
| 5. #20243272 | C2 | semidirect |
| 6. #20241492 | C2 | semidirect |
| 7. C47×#1377 | C2 | semidirect |
| 16. #15688940 | C4 | semidirect |
| 17. #15688937 | C4 | semidirect |
| 140. #1377 | D47 | semidirect |
| 161. C47 | #13140 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20245161 | 2 |
| #20245138 | 2 |
| #20245125 | 2 |
| #20244281 | 2 |
| #20243272 | 2 |
| #20241492 | 2 |
| C47×#1377 | 2 |
| #13140 | 47 |