Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
225 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 225 conjugacy classes of subgroups — too many to draw. Only its 88 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 |
|---|---|---|
| 16. #63388 | C4 | direct (N × H) |
| 100. C4×C9 | Q32 | semidirect |
| 160. C9 | C4×Q32 | semidirect |
| 184. C4 | #63388 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×C9×Q16 | 2 |
| C2×#63388 | 2 |
| C4×Dic36 | 2 |
| #10588241 | 2 |
| #10588169 | 2 |
| #10588166 | 2 |
| C4×C9⋊C16 | 2 |
| C4×#829 | 3 |