Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
399 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 399 conjugacy classes of subgroups — too many to draw. Only its 65 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 |
|---|---|---|
| 2. C2×#63421 | C2 | semidirect |
| 5. C2×#41⋊C9 | C4 | semidirect |
| 41. Q8⋊C9 | C22⋊C4 | semidirect |
| 83. C2×#41 | Dic9 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#41⋊C9 | 2 |
| C2×#63421 | 2 |
| #72135 | 3 |
| C9⋊#95 | 4 |