Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
492 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 158. C32 | #1718 | semidirect |
| 184. C3 | #71221 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C32×#487 | 2 |
| #10592792 | 2 |
| #10592779 | 2 |
| #10592778 | 2 |
| #10592777 | 2 |
| #10592380 | 2 |
| #10589321 | 2 |
| #71221 | 3 |