Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
398 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 2. #20252493 | C2 | semidirect |
| 3. #20242052 | C2 | semidirect |
| 6. #20241287 | C2 | semidirect |
| 7. C47×#1302 | C2 | semidirect |
| 150. #1302 | D47 | semidirect |
| 175. C47 | #9008 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20253734 | 2 |
| #20252493 | 2 |
| #20242052 | 2 |
| #20241858 | 2 |
| #20241856 | 2 |
| #20241287 | 2 |
| C47×#1302 | 2 |
| #9008 | 47 |