Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
264 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 98 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 |
|---|---|---|
| 73. C8×C9 | Q16 | semidirect |
| 161. C9 | #1723 | semidirect |
| 175. C8 | Dic36 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10588365 | 2 |
| #10588362 | 2 |
| #10588361 | 2 |
| #10588360 | 2 |
| C9×#322 | 2 |
| #68099 | 3 |