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 | Dic24 | semidirect |
| 264. C32 | #2209 | semidirect |
| 300. C3 | #69293 | semidirect |
| 301. C3 | #71497 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C3×Dic24 | 2 |
| #10590896 | 2 |
| Dic3×Dic12 | 2 |
| C2×#63551 | 2 |
| #10589369 | 2 |
| C3×Dic3⋊C16 | 2 |
| #10589118 | 2 |
| #71497 | 3 |
| #69293 | 3 |