Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
342 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 13. C3×#733 | Q8 | semidirect |
| 36. #733 | Dic6 | semidirect |
| 98. C3 | #733⋊Q8 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C4×#733 | 2 |
| C3⋊(#733⋊C4) | 2 |
| #10619962 | 3 |
| C3×#6226 | 3 |
| #733⋊Q8 | 3 |