Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
195 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 195 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 |
|---|---|---|
| 32. Dic36 | Q8 | semidirect |
| 127. C9 | #2225 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C9×#500 | 2 |
| C4×Dic36 | 2 |
| #10588169 | 2 |
| #10588167 | 2 |
| C4⋊(C9⋊C16) | 2 |
| #71389 | 3 |