Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
228 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 90 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 |
|---|---|---|
| 79. C8×C9 | Q16 | semidirect |
| 179. C9 | #1584 | semidirect |
| 197. C8 | Dic36 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×Dic36 | 2 |
| #10588359 | 2 |
| C8×Dic18 | 2 |
| C9×#322 | 2 |
| #10588135 | 2 |
| #10588133 | 2 |
| #68086 | 3 |