Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
320 conjugacy classes of subgroups; only the 48 normal subgroups are shown.
This group has 320 conjugacy classes of subgroups — too many to draw. Only its 48 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 |
|---|---|---|
| 20. C3×C32⋊C9 | Q8 | semidirect |
| 61. C32×C9 | Dic6 | semidirect |
| 65. C32⋊C9 | Dic6 | semidirect |
| 125. C33 | Dic18 | semidirect |
| 133. C3×C9 | #627 | semidirect |
| 189. C32 | #6189 | semidirect |
| 215. C3 | #10619538 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3⋊#66316 | 2 |
| C3⋊((C3⋊Dic3)⋊C9) | 2 |
| C3×#66328 | 2 |
| C3⋊#6296 | 3 |
| #10619867 | 3 |
| #10619538 | 3 |