Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
386 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 133 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. #20265519 | C2 | semidirect |
| 4. #20265519 | C2 | semidirect |
| 5. #20265513 | C2 | semidirect |
| 6. #20265508 | C2 | semidirect |
| 7. #20265219 | C2 | semidirect |
| 8. #20265215 | C2 | semidirect |
| 9. #20265187 | C2 | semidirect |
| 10. C2×#15692180 | C2 | semidirect |
| 127. C101 | #3097 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265748 | 2 |
| #20265660 | 2 |
| #20265519 | 2 |
| #20265513 | 2 |
| #20265508 | 2 |
| #20265219 | 2 |
| #20265215 | 2 |
| #20265187 | 2 |
| C2×#15692180 | 2 |
| #408×C101 | 2 |
| #3097 | 101 |