Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
292 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 72 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. C2×#92295 | C2 | semidirect |
| 2. C4×#6887 | C2 | semidirect |
| 15. C4×C92 | D3 | semidirect |
| 16. #6887 | D4 | semidirect |
| 37. C3×C4×C9 | D9 | semidirect |
| 44. C92 | D12 | semidirect |
| 79. C3×C9 | D36 | semidirect |
| 124. C4 | #92295 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#92295 | 2 |
| C4×#6887 | 2 |
| C9×C4⋊(C3⋊D3) | 3 |
| C4⋊#4181 | 3 |
| C9×D36 | 3 |