Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
216 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 216 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 |
|---|---|---|
| 15. #6895 | Q8 | semidirect |
| 37. C9⋊C9 | Dic6 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#6895 | 2 |
| #6895⋊C4 | 2 |
| C9×#634 | 3 |
| #10619654 | 3 |
| Dic18⋊C9 | 3 |