Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
648 conjugacy classes of subgroups; only the 265 normal subgroups are shown.
This group has 648 conjugacy classes of subgroups — too many to draw. Only its 265 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 |
|---|---|---|
| 127. C32 | #1832 | semidirect |
| 156. C3 | #70444 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C32×C4⋊C8 | 2 |
| #10592631 | 2 |
| C2×C4⋊(C3⋊(C3⋊C8)) | 2 |
| #10589416 | 2 |
| #70444 | 3 |