Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
302 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 302 conjugacy classes of subgroups — too many to draw. Only its 60 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×#6895 | C2 | semidirect |
| 2. C2×#6895⋊C2 | C2 | semidirect |
| 3. #6895⋊C4 | C2 | semidirect |
| 14. C22×C9⋊C9 | D3 | semidirect |
| 21. #6895 | D4 | semidirect |
| 55. C9⋊C9 | #67 | semidirect |
| 158. C22 | #6895⋊C2 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#6895 | 2 |
| C2×#6895⋊C2 | 2 |
| #6895⋊C4 | 2 |
| C9×#638 | 3 |
| #10619675 | 3 |
| #611⋊C9 | 3 |