Finite Group DatabasebetaFinite Group DatabasebetaOrder 28352.
104 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 104 conjugacy classes of subgroups — too many to draw. Only its 47 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. #28381892 | C2 | semidirect |
| 3. #28381821 | C2 | semidirect |
| 4. #28381813 | C2 | semidirect |
| 5. #28381812 | C2 | semidirect |
| 6. #28381796 | C2 | semidirect |
| 7. #131×C443 | C2 | semidirect |
| 9. #20296777 | C4 | semidirect |
| 10. #20296775 | C4 | semidirect |
| 11. #20296774 | C4 | semidirect |
| 12. #20296772 | C4 | semidirect |
| 51. C443 | #444 | semidirect |
| 55. #131 | D443 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #28381906 | 2 |
| #28381892 | 2 |
| #28381821 | 2 |
| #28381813 | 2 |
| #28381812 | 2 |
| #28381796 | 2 |
| #131×C443 | 2 |
| #444 | 443 |