Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
333 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 333 conjugacy classes of subgroups — too many to draw. Only its 78 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 |
|---|---|---|
| 160. C3⋊Dic3 | Q32 | semidirect |
| 262. C32 | #2209 | semidirect |
| 298. C3 | #69236 | semidirect |
| 299. 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 |
| #10590905 | 2 |
| #10590818 | 2 |
| C2×#63550 | 2 |
| #10589367 | 2 |
| C3×#4503 | 2 |
| #10589117 | 2 |
| #71497 | 3 |
| #69236 | 3 |