Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
420 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 137 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 |
|---|---|---|
| 4. #10589358 | C2 | semidirect |
| 5. #10589356 | C2 | semidirect |
| 134. C32 | #2235 | semidirect |
| 162. C3 | #70602 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C32×#107 | 2 |
| #10592815 | 2 |
| #10589415 | 2 |
| #10589358 | 2 |
| #10589356 | 2 |
| #70602 | 3 |