Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
358 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 121 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. #20265481 | C2 | semidirect |
| 4. #20265384 | C2 | semidirect |
| 6. #20265282 | C2 | semidirect |
| 7. C4×#13108064 | C2 | semidirect |
| 96. C101 | #3127 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265654 | 2 |
| #20265515 | 2 |
| #20265481 | 2 |
| #20265384 | 2 |
| #20265332 | 2 |
| #20265282 | 2 |
| C4×#13108064 | 2 |
| #20265238 | 2 |
| #541×C101 | 2 |
| #3127 | 101 |