Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
210 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 210 conjugacy classes of subgroups — too many to draw. Only its 60 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 |
|---|---|---|
| 1. C2×Dic72 | C2 | semidirect |
| 4. C9×#368 | C2 | semidirect |
| 5. #10588174 | C2 | semidirect |
| 64. #368 | D9 | semidirect |
| 132. C9 | #2222 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Dic72 | 2 |
| #10588581 | 2 |
| #10588576 | 2 |
| C9×#368 | 2 |
| #10588174 | 2 |
| #69362 | 3 |