Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
302 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 302 conjugacy classes of subgroups — too many to draw. Only its 96 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. #6895⋊C4 | C2 | direct (N × H) |
| 6. C2×#6895 | C4 | semidirect |
| 16. #6895 | C2×C4 | semidirect |
| 25. C2×C9⋊C9 | Dic3 | semidirect |
| 43. C9⋊C9 | C2×Dic3 | semidirect |
| 131. C2 | #6895⋊C4 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#6895 | 2 |
| #6895⋊C4 | 2 |
| C2×C9×C3⋊Dic3 | 3 |
| C2×#66328 | 3 |
| C2×Dic9⋊C9 | 3 |