Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
918 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 918 conjugacy classes of subgroups — too many to draw. Only its 229 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 |
|---|---|---|
| 4. #10589421 | C2 | semidirect |
| 12. #64135 | C4 | semidirect |
| 14. C2×C4⋊(C3⋊Dic3) | C4 | semidirect |
| 15. C2×C4⋊(C3⋊Dic3) | C4 | semidirect |
| 219. C32 | #1826 | semidirect |
| 268. C3 | #69975 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#64135 | 2 |
| C32×#407 | 2 |
| C4×#3757 | 2 |
| #10589421 | 2 |
| #69975 | 3 |