Finite Group DatabasebetaFinite Group DatabasebetaOrder 28352.
104 conjugacy classes of subgroups; only the 37 normal subgroups are shown.
This group has 104 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 |
|---|---|---|
| 1. #28381917 | C2 | semidirect |
| 3. #28381892 | C2 | semidirect |
| 4. #28381822 | C2 | semidirect |
| 5. #28381805 | C2 | semidirect |
| 6. #28381803 | C2 | semidirect |
| 7. C2×SD16×C443 | C2 | semidirect |
| 51. C443 | #471 | semidirect |
| 55. C2×SD16 | D443 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #28381917 | 2 |
| #28381912 | 2 |
| #28381892 | 2 |
| #28381822 | 2 |
| #28381805 | 2 |
| #28381803 | 2 |
| C2×SD16×C443 | 2 |
| #471 | 443 |