Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
386 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 386 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 |
|---|---|---|
| 1. #20265892 | C2 | semidirect |
| 2. #20265830 | C2 | semidirect |
| 3. #20265573 | C2 | semidirect |
| 4. #20265504 | C2 | semidirect |
| 5. #20265494 | C2 | semidirect |
| 6. #20265468 | C2 | semidirect |
| 7. #20265429 | C2 | semidirect |
| 8. C4×#13108059 | C2 | semidirect |
| 9. #20265254 | C2 | semidirect |
| 10. #20265218 | C2 | semidirect |
| 11. #474×C101 | C2 | semidirect |
| 101. #11717579 | #41 | semidirect |
| 128. C101 | #3354 | semidirect |
| 135. #474 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265892 | 2 |
| #20265830 | 2 |
| #20265573 | 2 |
| #20265504 | 2 |
| #20265494 | 2 |
| #20265468 | 2 |
| #20265429 | 2 |
| C4×#13108059 | 2 |
| #20265254 | 2 |
| #20265218 | 2 |
| #474×C101 | 2 |
| #3354 | 101 |