Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
390 conjugacy classes of subgroups; only the 146 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 146 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. #63432 | C4 | semidirect |
| 180. C9 | #1989 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#63432 | 2 |
| C2×C9×C4⋊C8 | 2 |
| C4×C4⋊Dic9 | 2 |
| #10588229 | 2 |
| #70461 | 3 |