Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
637 conjugacy classes of subgroups; only the 148 normal subgroups are shown.
This group has 637 conjugacy classes of subgroups — too many to draw. Only its 148 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 |
|---|---|---|
| 3. C2×#63578 | C2 | semidirect |
| 4. #10589159 | C2 | semidirect |
| 203. C32 | #1813 | semidirect |
| 238. C3 | #70134 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#64157 | 2 |
| C3×#5237 | 2 |
| C2×#63578 | 2 |
| #10589159 | 2 |
| #70134 | 3 |