Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
135 conjugacy classes of subgroups; only the 54 normal subgroups are shown.
This group has 135 conjugacy classes of subgroups — too many to draw. Only its 54 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 |
|---|---|---|
| 84. C9 | #1328 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C9×#424 | 2 |
| #10588230 | 2 |
| #67719 | 3 |