Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
378 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 378 conjugacy classes of subgroups — too many to draw. Only its 155 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 |
|---|---|---|
| 39. C32×C16 | Q8 | semidirect |
| 86. C3×C16 | Dic6 | semidirect |
| 139. C16 | #634 | semidirect |
| 149. C32 | #2183 | semidirect |
| 175. C3 | #69068 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C8×#634 | 2 |
| C32×#346 | 2 |
| #10589368 | 2 |
| #10589367 | 2 |
| C16×C3⋊Dic3 | 2 |
| C4⋊(C3⋊(C3⋊C16)) | 2 |
| #69068 | 3 |