Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
704 conjugacy classes of subgroups; only the 161 normal subgroups are shown.
This group has 704 conjugacy classes of subgroups — too many to draw. Only its 161 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×#15692285 | C2 | semidirect |
| 2. #20265748 | C2 | semidirect |
| 3. #20265360 | C2 | semidirect |
| 4. #20265355 | C2 | semidirect |
| 5. #20265194 | C2 | semidirect |
| 6. #20265161 | C2 | semidirect |
| 8. C22×Dic202 | C22 | semidirect |
| 10. #15692285 | C22 | semidirect |
| 13. C2×#13108058 | C22 | semidirect |
| 14. #15692253 | C22 | semidirect |
| 15. #15692242 | C22 | semidirect |
| 18. #15692214 | C22 | semidirect |
| 19. #15692182 | C22 | semidirect |
| 20. #15692174 | C22 | semidirect |
| 21. #15692172 | C22 | semidirect |
| 130. C101 | #3022 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692285 | 2 |
| #20265748 | 2 |
| #20265360 | 2 |
| #20265355 | 2 |
| #20265194 | 2 |
| #20265161 | 2 |
| #585×C101 | 2 |
| #3022 | 101 |