Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
504 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 229 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 |
|---|---|---|
| 9. C4×C3⋊(C3⋊C8) | C4 | semidirect |
| 16. C32×C42 | C8 | semidirect |
| 45. C3×C42 | C3⋊C8 | semidirect |
| 84. C42 | C3⋊(C3⋊C8) | semidirect |
| 97. C32 | #1274 | semidirect |
| 121. C3 | #67614 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C32×#376 | 2 |
| #10592624 | 2 |
| #67614 | 3 |