Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
362 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 117 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. #20265902 | C2 | semidirect |
| 3. #20265568 | C2 | semidirect |
| 4. #20265397 | C2 | semidirect |
| 5. #20265384 | C2 | semidirect |
| 6. #20265380 | C2 | semidirect |
| 8. #20265307 | C2 | semidirect |
| 9. #20265278 | C2 | semidirect |
| 10. C4×Dic404 | C2 | semidirect |
| 122. C101 | #3400 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265913 | 2 |
| #20265902 | 2 |
| #20265568 | 2 |
| #20265397 | 2 |
| #20265384 | 2 |
| #20265380 | 2 |
| #20265374 | 2 |
| #20265307 | 2 |
| #20265278 | 2 |
| C4×Dic404 | 2 |
| #492×C101 | 2 |
| #3400 | 101 |