Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
448 conjugacy classes of subgroups; only the 36 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 36 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. #11757864 | C2 | semidirect |
| 4. (C3⋊D3)⋊(C22⋊C9) | C3 | semidirect |
| 10. C3×#1094 | D3 | semidirect |
| 12. C32⋊(C22⋊C9) | C2×C3 | semidirect |
| 46. C3×C22⋊C9 | C3×D3 | semidirect |
| 53. C22×C3⋊D3 | 3−1+2 | semidirect |
| 95. C22×C32 | C2×3−1+2 | semidirect |
| 148. C3⋊D3 | #1094 | semidirect |
| 190. C32 | C2×#1094 | semidirect |
| 213. C22 | #92259 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11757864 | 2 |
| C22×C32×C3⋊D3 | 3 |
| D3×#1094 | 3 |
| (C3⋊D3)⋊(C22⋊C9) | 3 |
| #92259 | 4 |