Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
390 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 73 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. #20249046 | C2 | semidirect |
| 5. #20241282 | C2 | semidirect |
| 6. #20241245 | C2 | semidirect |
| 7. C47×#1288 | C2 | semidirect |
| 180. #1288 | D47 | semidirect |
| 207. C47 | #10380 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20249046 | 2 |
| #20244307 | 2 |
| #20241934 | 2 |
| #20241897 | 2 |
| #20241282 | 2 |
| #20241245 | 2 |
| C47×#1288 | 2 |
| #10380 | 47 |