Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
376 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 135 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 |
|---|---|---|
| 3. #20265487 | C2 | semidirect |
| 4. #20265483 | C2 | semidirect |
| 5. #20265471 | C2 | semidirect |
| 6. #20265461 | C2 | semidirect |
| 47. C2×Dic202 | Q8 | semidirect |
| 130. C101 | #3078 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265730 | 2 |
| C2×#15692220 | 2 |
| #20265487 | 2 |
| #20265483 | 2 |
| #20265471 | 2 |
| #20265461 | 2 |
| #20265217 | 2 |
| #20265200 | 2 |
| #20265187 | 2 |
| #20265185 | 2 |
| #428×C101 | 2 |
| #3078 | 101 |