Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1320 conjugacy classes of subgroups; only the 565 normal subgroups are shown.
This group has 1320 conjugacy classes of subgroups — too many to draw. Only its 565 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. #10592823 | C2 | semidirect |
| 5. C2×#63649 | C2 | semidirect |
| 130. C32 | #2916 | semidirect |
| 151. C3 | #83810 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C32×#568 | 2 |
| #10596290 | 2 |
| C2×#64157 | 2 |
| #10592823 | 2 |
| C2×#63649 | 2 |
| #83810 | 3 |