Finite Group DatabasebetaFinite Group DatabasebetaOrder 576.
102 conjugacy classes of subgroups; only the 29 normal subgroups are shown.
This group has 102 conjugacy classes of subgroups — too many to draw. Only its 29 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 |
|---|---|---|
| 6. C22×Dic9 | C4 | semidirect |
| 10. #3676 | C4 | semidirect |
| 73. C9 | #352 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #63497 | 2 |
| C9×#100 | 2 |
| #63393 | 2 |
| #4476 | 3 |