Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
210 conjugacy classes of subgroups; only the 68 normal subgroups are shown.
This group has 210 conjugacy classes of subgroups — too many to draw. Only its 68 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 |
|---|---|---|
| 172. C9 | #1696 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10588764 | 2 |
| #10588758 | 2 |
| #10588514 | 2 |
| #10588509 | 2 |
| C9×#333 | 2 |
| #10588158 | 2 |
| #10588157 | 2 |
| #68513 | 3 |