Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
632 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 632 conjugacy classes of subgroups — too many to draw. Only its 91 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. #20252455 | C2 | semidirect |
| 3. #20243354 | C2 | semidirect |
| 4. #20241516 | C2 | semidirect |
| 5. C47×#2126 | C2 | semidirect |
| 8. #15689305 | C4 | semidirect |
| 10. #15689295 | C4 | semidirect |
| 191. #2126 | D47 | semidirect |
| 219. C47 | #13054 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20252736 | 2 |
| #20252455 | 2 |
| #20243354 | 2 |
| #20241516 | 2 |
| C47×#2126 | 2 |
| #13054 | 47 |