Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
378 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 378 conjugacy classes of subgroups — too many to draw. Only its 74 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 |
|---|---|---|
| 8. C32×C4×C8 | C4 | semidirect |
| 9. C8×C3⋊Dic3 | C4 | semidirect |
| 10. C4×C3⋊(C3⋊C8) | C4 | semidirect |
| 63. C4×C8 | #157 | semidirect |
| 94. C32 | #1835 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10593736 | 2 |
| C4×C8×C3⋊D3 | 2 |
| #10590182 | 2 |
| #1835 | 9 |