Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
764 conjugacy classes of subgroups; only the 202 normal subgroups are shown.
This group has 764 conjugacy classes of subgroups — too many to draw. Only its 202 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. C22×#13108083 | C2 | semidirect |
| 2. #20266150 | C2 | semidirect |
| 3. #20266149 | C2 | semidirect |
| 4. #20266147 | C2 | semidirect |
| 8. C2×#13108083 | C22 | semidirect |
| 9. C22×#11717581 | C22 | semidirect |
| 10. #15692312 | C22 | semidirect |
| 11. C22⋊#11717581 | C22 | semidirect |
| 108. C101 | #2879 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13108083 | 2 |
| #20266150 | 2 |
| #20266149 | 2 |
| #20266147 | 2 |
| C22×#13108073 | 2 |
| #2879 | 101 |