Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
337 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 337 conjugacy classes of subgroups — too many to draw. Only its 84 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 |
|---|---|---|
| 165. C3×Dic3 | Q32 | semidirect |
| 263. Dic3 | #829 | semidirect |
| 264. C32 | #2209 | semidirect |
| 300. C3 | #71316 | semidirect |
| 301. C3 | #71497 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#5183 | 2 |
| C2×C3×#829 | 2 |
| Dic3×Dic12 | 2 |
| C2×#63550 | 2 |
| #10589430 | 2 |
| Dic3⋊(C3⋊C16) | 2 |
| #10589118 | 2 |
| #71497 | 3 |
| #71316 | 3 |