Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
228 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 82 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 |
|---|---|---|
| 81. C9⋊C8 | Q16 | semidirect |
| 179. C9 | #1584 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#3674 | 2 |
| #10588701 | 2 |
| #10588508 | 2 |
| C9×Q8⋊C8 | 2 |
| #10588156 | 2 |
| #10588133 | 2 |
| #10588131 | 2 |
| #68219 | 3 |