Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
290 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 86 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 |
|---|---|---|
| 3. #10590149 | C2 | semidirect |
| 7. #63773 | C4 | semidirect |
| 9. C2×#3708 | C4 | semidirect |
| 99. C32 | #2110 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#63773 | 2 |
| #10592696 | 2 |
| #10590149 | 2 |
| #2110 | 9 |