Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
309 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 309 conjugacy classes of subgroups — too many to draw. Only its 76 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 |
|---|---|---|
| 60. Dic18 | Q16 | semidirect |
| 140. C9 | #1633 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10589824 | 2 |
| C9×#494 | 2 |
| #10588764 | 2 |
| #10588223 | 2 |
| #10588133 | 2 |
| #71307 | 3 |