Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
174 conjugacy classes of subgroups; only the 37 normal subgroups are shown.
This group has 174 conjugacy classes of subgroups — too many to draw. Only its 37 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. #10593534 | C2 | semidirect |
| 5. #10590086 | C2 | semidirect |
| 6. #10590085 | C2 | semidirect |
| 7. #10590082 | C2 | semidirect |
| 121. C32 | #2228 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D8×#157 | 2 |
| #10593534 | 2 |
| #10590193 | 2 |
| #10590086 | 2 |
| #10590085 | 2 |
| #10590082 | 2 |
| #2228 | 9 |