Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
386 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 125 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×C4×Dic202 | C2 | semidirect |
| 3. #20265513 | C2 | semidirect |
| 5. #20265485 | C2 | semidirect |
| 6. #20265400 | C2 | semidirect |
| 7. #20265335 | C2 | semidirect |
| 9. #20265285 | C2 | semidirect |
| 10. #20265279 | C2 | semidirect |
| 11. #432×C101 | C2 | semidirect |
| 132. C101 | #3117 | semidirect |
| 143. #432 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265711 | 2 |
| C2×C4×Dic202 | 2 |
| #20265513 | 2 |
| #20265496 | 2 |
| #20265485 | 2 |
| #20265400 | 2 |
| #20265335 | 2 |
| #20265318 | 2 |
| #20265285 | 2 |
| #20265279 | 2 |
| #432×C101 | 2 |
| #3117 | 101 |