Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
258 conjugacy classes of subgroups; only the 37 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 37 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. #20241326 | C2 | semidirect |
| 3. C47×#1391 | C2 | semidirect |
| 5. C22×D376 | C4 | semidirect |
| 8. #15688888 | C4 | semidirect |
| 97. #1391 | D47 | semidirect |
| 111. C47 | #7398 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20244497 | 2 |
| #20241326 | 2 |
| C47×#1391 | 2 |
| #7398 | 47 |