Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
258 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 67 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. #20242158 | C2 | semidirect |
| 5. #20241298 | C2 | semidirect |
| 6. #20241251 | C2 | semidirect |
| 7. C47×#1290 | C2 | semidirect |
| 121. #1290 | D47 | semidirect |
| 141. C47 | #10647 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20242158 | 2 |
| #20242111 | 2 |
| #20242081 | 2 |
| #20241856 | 2 |
| #20241298 | 2 |
| #20241251 | 2 |
| C47×#1290 | 2 |
| #10647 | 47 |