Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
158 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 158 conjugacy classes of subgroups — too many to draw. Only its 39 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×#92175 | C2 | semidirect |
| 2. C4×#6867 | C2 | semidirect |
| 12. #6867 | D4 | semidirect |
| 14. C4⋊(C3⋊D9) | C9 | semidirect |
| 24. C2×C3⋊D9 | C2×C9 | semidirect |
| 32. C3×C4×C9 | C2×C9 | semidirect |
| 72. C3×C9 | D4×C9 | semidirect |
| 117. C4 | #92175 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#92175 | 2 |
| C4×#6867 | 2 |
| C3×C4⋊(C3⋊D9) | 3 |
| C4⋊((C3⋊D3)⋊C9) | 3 |