Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
1382 conjugacy classes of subgroups; only the 267 normal subgroups are shown.
This group has 1382 conjugacy classes of subgroups — too many to draw. Only its 267 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. #20252023 | C2 | semidirect |
| 3. #20243469 | C2 | semidirect |
| 4. #20243378 | C2 | semidirect |
| 6. #100×Dic47 | C2 | semidirect |
| 16. #15689146 | C22 | semidirect |
| 19. M16×Dic47 | C22 | semidirect |
| 20. #15688891 | C22 | semidirect |
| 166. C47 | #20729 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15689598 | 2 |
| #20252023 | 2 |
| #20243469 | 2 |
| #20243378 | 2 |
| #20243309 | 2 |
| #100×Dic47 | 2 |
| C47×#1783 | 2 |
| #20729 | 47 |