Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
348 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 115 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. #20265533 | C2 | semidirect |
| 5. #20265476 | C2 | semidirect |
| 6. #20265402 | C2 | semidirect |
| 8. #20265301 | C2 | semidirect |
| 9. C4×#13108064 | C2 | semidirect |
| 10. #20265264 | C2 | semidirect |
| 11. #475×C101 | C2 | semidirect |
| 118. C101 | #3365 | semidirect |
| 124. #475 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265912 | 2 |
| #20265902 | 2 |
| #20265533 | 2 |
| #20265525 | 2 |
| #20265476 | 2 |
| #20265402 | 2 |
| #20265378 | 2 |
| #20265301 | 2 |
| C4×#13108064 | 2 |
| #20265264 | 2 |
| #475×C101 | 2 |
| #3365 | 101 |