Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
525 conjugacy classes of subgroups; only the 203 normal subgroups are shown.
This group has 525 conjugacy classes of subgroups — too many to draw. Only its 203 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 |
|---|---|---|
| 3. C3⋊C8×3−1+2 | C3 | semidirect |
| 5. C3×C9×C3⋊C8 | C3 | semidirect |
| 14. C3×#737 | C8 | semidirect |
| 43. #737 | C3⋊C8 | direct (N × H) |
| 44. C3×3−1+2 | C3×C8 | semidirect |
| 46. C32×C9 | C3×C8 | semidirect |
| 76. 3−1+2 | C3×C3⋊C8 | semidirect |
| 82. C3×C9 | C3×C3⋊C8 | semidirect |
| 87. C3⋊C8 | #737 | direct (N × H) |
| 121. C3 | C8×#737 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C4×#737 | 2 |
| C8×#737 | 3 |
| C3⋊C8×3−1+2 | 3 |
| C3⋊C8×H(3,𝔽3) | 3 |
| C3×C9×C3⋊C8 | 3 |