Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
123 conjugacy classes of subgroups; only the 20 normal subgroups are shown.
This group has 123 conjugacy classes of subgroups — too many to draw. Only its 20 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 |
|---|---|---|
| 1. #11757405 | C2 | semidirect |
| 12. C3⋊((C22⋊C9)⋊C2) | C9 | semidirect |
| 27. C3×C22⋊C9 | C2×C9 | semidirect |
| 113. C22 | #92177 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11757405 | 2 |
| C3×C3⋊((C22⋊C9)⋊C2) | 3 |
| #638⋊C9 | 3 |
| #92177 | 4 |