Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
369 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 369 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 |
|---|---|---|
| 171. C3⋊Dic3 | Q32 | semidirect |
| 279. C32 | #2209 | semidirect |
| 315. C3 | #69236 | semidirect |
| 316. C3 | #71497 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10592882 | 2 |
| C2×C3×#829 | 2 |
| #10590818 | 2 |
| C2×#63551 | 2 |
| C3×#4564 | 2 |
| #10589133 | 2 |
| #10589119 | 2 |
| #71497 | 3 |
| #69236 | 3 |