Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
348 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 99 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. #20243526 | C2 | semidirect |
| 3. #20241404 | C2 | semidirect |
| 4. C47×#2162 | C2 | semidirect |
| 117. #2162 | D47 | semidirect |
| 140. C47 | #11862 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20253967 | 2 |
| #20243526 | 2 |
| #20241404 | 2 |
| C47×#2162 | 2 |
| #11862 | 47 |