Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
294 conjugacy classes of subgroups; only the 118 normal subgroups are shown.
This group has 294 conjugacy classes of subgroups — too many to draw. Only its 118 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 |
|---|---|---|
| 145. C9 | #1840 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10588612 | 2 |
| C9×#336 | 2 |
| #10588228 | 2 |
| #10588200 | 2 |
| #68608 | 3 |