Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
244 conjugacy classes of subgroups; only the 42 normal subgroups are shown.
This group has 244 conjugacy classes of subgroups — too many to draw. Only its 42 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. C4⋊#3708 | C2 | semidirect |
| 3. C4×#3708 | C2 | semidirect |
| 36. C4⋊(C3⋊D3) | C16 | semidirect |
| 112. C32 | D4⋊C16 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10592533 | 2 |
| C4⋊#3708 | 2 |
| C4×#3708 | 2 |
| D4⋊C16 | 9 |