Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
179 conjugacy classes of subgroups; only the 50 normal subgroups are shown.
This group has 179 conjugacy classes of subgroups — too many to draw. Only its 50 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 |
|---|---|---|
| 139. C32 | #1356 | semidirect |
| 161. C3 | #67521 | semidirect |
| 162. C3 | #67785 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#4703 | 2 |
| #10589332 | 2 |
| C3×#4466 | 2 |
| #67785 | 3 |
| #67521 | 3 |