Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
314 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 80 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 |
|---|---|---|
| 3. #10590179 | C2 | semidirect |
| 4. #10590149 | C2 | semidirect |
| 9. #63765 | C4 | semidirect |
| 10. #63764 | C4 | semidirect |
| 29. #3708 | C2×C4 | semidirect |
| 106. C3⋊D3 | #347 | semidirect |
| 131. C32 | C2×#347 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10593762 | 2 |
| C3⋊D3×#97 | 2 |
| #10590179 | 2 |
| #10590149 | 2 |
| C2×#347 | 9 |