Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
457 conjugacy classes of subgroups; only the 128 normal subgroups are shown.
This group has 457 conjugacy classes of subgroups — too many to draw. Only its 128 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 |
|---|---|---|
| 152. C32 | #1837 | semidirect |
| 179. C3 | #68928 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C8×C3⋊Dic3 | 2 |
| #10591120 | 2 |
| C3×#4552 | 2 |
| #10589165 | 2 |
| #68928 | 3 |