Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
540 conjugacy classes of subgroups; only the 214 normal subgroups are shown.
This group has 540 conjugacy classes of subgroups — too many to draw. Only its 214 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. #10588744 | C2 | direct (N × H) |
| 130. C2×C9 | #499 | semidirect |
| 158. C9 | C2×#499 | semidirect |
| 185. C2 | #10588744 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C9×#125 | 2 |
| C2×#63432 | 2 |
| #10588744 | 2 |
| C2×#63367 | 2 |
| C2×#63366 | 2 |
| C2×C4×C9⋊C8 | 2 |
| C2×#5065 | 3 |