Finite Group DatabasebetaFinite Group DatabasebetaOrder 972.
224 conjugacy classes of subgroups.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C22×C3×H(3,𝔽3) | C3 | semidirect |
| 2. C3×C22⋊H(3,𝔽3) | C3 | semidirect |
| 3. C32×C22⋊C9 | C3 | semidirect |
| 4. #66362 | C3 | direct (N × H) |
| 11. C22×H(3,𝔽3) | C32 | semidirect |
| 13. C22⋊H(3,𝔽3) | C32 | semidirect |
| 16. C3×C22⋊C9 | C32 | semidirect |
| 18. C3×H(3,𝔽3) | A4 | semidirect |
| 40. H(3,𝔽3) | C3×A4 | semidirect |
| 53. C22×C3 | #732 | semidirect |
| 70. C22 | C3×#732 | semidirect |
| 75. C3 | #66362 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C3×H(3,𝔽3) | 3 |
| C3×C22⋊H(3,𝔽3) | 3 |
| C32×C22⋊C9 | 3 |
| #66362 | 3 |
| C3×#732 | 4 |