Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
426 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 426 conjugacy classes of subgroups — too many to draw. Only its 55 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. #20248799 | C2 | semidirect |
| 4. #20241417 | C2 | semidirect |
| 5. #20241393 | C2 | semidirect |
| 6. #20241322 | C2 | semidirect |
| 211. C47 | #12197 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20248799 | 2 |
| #20242391 | 2 |
| #20242357 | 2 |
| #20241417 | 2 |
| #20241393 | 2 |
| #20241322 | 2 |
| C47×#2007 | 2 |
| #12197 | 47 |