Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
936 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 936 conjugacy classes of subgroups — too many to draw. Only its 155 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. C2×#15689873 | C2 | semidirect |
| 2. #20254580 | C2 | semidirect |
| 4. #20242700 | C2 | semidirect |
| 5. #20242687 | C2 | semidirect |
| 6. #20241991 | C2 | semidirect |
| 7. C47×#1533 | C2 | semidirect |
| 19. #15689532 | C22 | semidirect |
| 23. #15689488 | C22 | semidirect |
| 28. #15688864 | C22 | semidirect |
| 187. #1533 | D47 | semidirect |
| 218. C47 | #18994 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15689873 | 2 |
| #20254580 | 2 |
| #20253852 | 2 |
| #20242700 | 2 |
| #20242687 | 2 |
| #20241991 | 2 |
| C47×#1533 | 2 |
| #18994 | 47 |