Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
246 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 246 conjugacy classes of subgroups — too many to draw. Only its 95 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×C32×C32 | C2 | semidirect |
| 3. #10589370 | C2 | semidirect |
| 9. #63626 | C4 | semidirect |
| 12. C2×C3×C32 | D3 | semidirect |
| 36. C2×C32 | C3⋊D3 | semidirect |
| 83. C32 | #1415 | semidirect |
| 102. C3 | #67596 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#63626 | 2 |
| C2×C32×C32 | 2 |
| #10589370 | 2 |
| #67596 | 3 |