Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
276 conjugacy classes of subgroups; only the 104 normal subgroups are shown.
This group has 276 conjugacy classes of subgroups — too many to draw. Only its 104 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 |
|---|---|---|
| 20. #63381 | C4 | semidirect |
| 187. C9 | #1953 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C9×#430 | 2 |
| #10588799 | 2 |
| C2×#63381 | 2 |
| #10588797 | 2 |
| #10588236 | 2 |
| #10588232 | 2 |
| #70725 | 3 |