Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
197 conjugacy classes of subgroups; only the 42 normal subgroups are shown.
This group has 197 conjugacy classes of subgroups — too many to draw. Only its 42 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×#92176 | C2 | semidirect |
| 2. C4×#6867 | C2 | semidirect |
| 12. #6867 | D4 | semidirect |
| 34. C3×C4×C9 | D9 | semidirect |
| 77. C3×C9 | D36 | semidirect |
| 126. C4 | #92176 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#92176 | 2 |
| C4×#6867 | 2 |
| C9×C4⋊(C3⋊D3) | 3 |
| C4⋊#4181 | 3 |