Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
486 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 486 conjugacy classes of subgroups — too many to draw. Only its 157 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 |
|---|---|---|
| 16. #63630 | C4 | semidirect |
| 17. C4×C3⋊(C3⋊C8) | C4 | semidirect |
| 180. C32 | #1841 | semidirect |
| 213. C3 | #68749 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#3748 | 2 |
| C32×#339 | 2 |
| #10589426 | 2 |
| #10589425 | 2 |
| #10589399 | 2 |
| #10589397 | 2 |
| #10589389 | 2 |
| #68749 | 3 |