Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
348 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 2. #11757613 | C2 | direct (N × H) |
| 4. C2×C9⋊Dic9 | C3 | semidirect |
| 6. C2×#6896 | C4 | semidirect |
| 14. C9⋊Dic9 | C2×C3 | semidirect |
| 16. #6896 | C2×C4 | semidirect |
| 29. C2×C92 | C3×C4 | semidirect |
| 45. C92 | C2×C3×C4 | semidirect |
| 96. C2×C9 | 3−1+2⋊C4 | semidirect |
| 110. C9 | C2×3−1+2⋊C4 | semidirect |
| 123. C2 | #11757613 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#6896 | 2 |
| #11757613 | 2 |
| C2×C3⋊(3−1+2⋊C4) | 3 |
| C2×C9⋊Dic9 | 3 |
| C2×#66316 | 3 |