Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
160 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 53 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. #20245669 | C2 | semidirect |
| 3. #20241594 | C2 | semidirect |
| 4. #20241593 | C2 | semidirect |
| 5. #20241585 | C2 | semidirect |
| 29. Q32×C47 | Q8 | semidirect |
| 31. D16×C47 | Q8 | semidirect |
| 96. C47 | #13710 | semidirect |
| 100. Q32 | Dic94 | semidirect |
| 102. D16 | Dic94 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20245669 | 2 |
| #20245269 | 2 |
| #20241594 | 2 |
| #20241593 | 2 |
| #20241585 | 2 |
| #20241575 | 2 |
| C47×#1418 | 2 |
| #13710 | 47 |