Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
334 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 334 conjugacy classes of subgroups — too many to draw. Only its 77 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. C2×#15692162 | C2 | semidirect |
| 3. #20264915 | C2 | semidirect |
| 4. #20264912 | C2 | semidirect |
| 5. #407×C101 | C2 | semidirect |
| 6. C2×#13108074 | C4 | semidirect |
| 9. #15692234 | C4 | semidirect |
| 11. #15692229 | C4 | semidirect |
| 16. #15692214 | C4 | semidirect |
| 24. C2×Dic202 | C2×C4 | semidirect |
| 25. C2×D404 | C2×C4 | semidirect |
| 34. C4⋊Dic101 | C2×C4 | semidirect |
| 35. C4⋊Dic101 | C2×C4 | semidirect |
| 120. C101 | #1504 | semidirect |
| 122. #407 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265688 | 2 |
| C2×#15692162 | 2 |
| #20264915 | 2 |
| #20264912 | 2 |
| #407×C101 | 2 |
| #1504 | 101 |