Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
753 conjugacy classes of subgroups; only the 160 normal subgroups are shown.
This group has 753 conjugacy classes of subgroups — too many to draw. Only its 160 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 |
|---|---|---|
| 2. C2×C3×#819 | C2 | semidirect |
| 4. #10589165 | C2 | semidirect |
| 18. C2×#819 | D3 | semidirect |
| 112. C2×C3⋊D3 | #108 | semidirect |
| 206. C32 | #1810 | semidirect |
| 244. C3 | #70711 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C8×C3⋊D3 | 2 |
| C2×C3×#819 | 2 |
| #10591074 | 2 |
| #10589165 | 2 |
| #70711 | 3 |