Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
274 conjugacy classes of subgroups; only the 64 normal subgroups are shown.
This group has 274 conjugacy classes of subgroups — too many to draw. Only its 64 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 |
|---|---|---|
| 2. C4×#6895 | C2 | semidirect |
| 3. #6895⋊C4 | C2 | semidirect |
| 8. #6895⋊C2 | C4 | direct (N × H) |
| 15. C4×C9⋊C9 | D3 | semidirect |
| 20. #6895 | C2×C4 | semidirect |
| 49. C9⋊C9 | C4×D3 | semidirect |
| 135. C4 | #6895⋊C2 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#6895⋊C2 | 2 |
| C4×#6895 | 2 |
| #6895⋊C4 | 2 |
| C4×C9×C3⋊D3 | 3 |
| C4×#4181 | 3 |
| C4×D9⋊C9 | 3 |