Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
207 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 207 conjugacy classes of subgroups — too many to draw. Only its 66 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 |
|---|---|---|
| 145. C32 | #1358 | semidirect |
| 167. C3 | #67572 | semidirect |
| 168. C3 | #67794 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#4699 | 2 |
| #10589329 | 2 |
| C3×#4463 | 2 |
| #67794 | 3 |
| #67572 | 3 |