Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
384 conjugacy classes of subgroups; only the 193 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 193 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 |
|---|---|---|
| 9. C32×M32 | C4 | semidirect |
| 12. #63646 | C4 | semidirect |
| 37. C3×M32 | Dic3 | semidirect |
| 86. M32 | C3⋊Dic3 | semidirect |
| 132. C32 | #1389 | semidirect |
| 159. C3 | #67822 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C32×M32 | 2 |
| C2×#63646 | 2 |
| #10592805 | 2 |
| #67822 | 3 |