Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
540 conjugacy classes of subgroups; only the 209 normal subgroups are shown.
This group has 540 conjugacy classes of subgroups — too many to draw. Only its 209 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 |
|---|---|---|
| 51. C32×C8 | Q16 | semidirect |
| 92. C3×C8 | Dic12 | semidirect |
| 113. C32 | #1707 | semidirect |
| 123. C8 | #3746 | semidirect |
| 133. C3 | #68063 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10592398 | 2 |
| #10592381 | 2 |
| #10592380 | 2 |
| #10592379 | 2 |
| C32×C82 | 2 |
| #68063 | 3 |