Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
135 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 135 conjugacy classes of subgroups — too many to draw. Only its 66 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 |
|---|---|---|
| 9. C3×C3⋊C32 | C4 | semidirect |
| 32. C3⋊C32 | Dic3 | semidirect |
| 100. C32 | #1424 | semidirect |
| 121. C3 | #67576 | semidirect |
| 122. C3 | #67592 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10589370 | 2 |
| C3×#4504 | 2 |
| C2×C3×C3⋊C32 | 2 |
| #67592 | 3 |
| #67576 | 3 |