Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
913 conjugacy classes of subgroups; only the 132 normal subgroups are shown.
This group has 913 conjugacy classes of subgroups — too many to draw. Only its 132 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 |
|---|---|---|
| 2. C3×#4926 | C2 | semidirect |
| 3. #10589091 | C2 | semidirect |
| 12. C3×C4⋊(C3⋊C8) | C22 | semidirect |
| 17. #4926 | D3 | semidirect |
| 51. C4⋊(C3⋊C8) | C2×D3 | semidirect |
| 198. C32 | #1555 | semidirect |
| 234. C3 | #70818 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#64083 | 2 |
| C3×#4926 | 2 |
| #10589091 | 2 |
| #70818 | 3 |