Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
362 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 75 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×#15692253 | C2 | semidirect |
| 4. #20265185 | C2 | semidirect |
| 5. C2×#15692174 | C2 | semidirect |
| 6. #20264936 | C2 | semidirect |
| 126. C101 | #2005 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692285 | 2 |
| C2×#15692253 | 2 |
| C2×#15692182 | 2 |
| #20265185 | 2 |
| C2×#15692174 | 2 |
| #20264936 | 2 |
| #536×C101 | 2 |
| #2005 | 101 |