Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
1280 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 1280 conjugacy classes of subgroups — too many to draw. Only its 101 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. H(3,𝔽3)×C3⋊Dic3 | C2 | semidirect |
| 3. C32×#1084 | C2 | semidirect |
| 7. C3⋊(C3⋊#272) | C4 | semidirect |
| 9. C32×C3⋊Dic3 | D3 | semidirect |
| 13. C3×#1084 | D3 | semidirect |
| 15. C32×H(3,𝔽3) | C2×C4 | semidirect |
| 41. #1084 | C3⋊D3 | semidirect |
| 42. C34 | C4×D3 | semidirect |
| 44. C3×H(3,𝔽3) | C4×D3 | semidirect |
| 74. C3⋊Dic3 | #272 | semidirect |
| 83. C33 | #624 | semidirect |
| 87. H(3,𝔽3) | C4×C3⋊D3 | semidirect |
| 123. C32 | C4×#272 | semidirect |
| 125. C32 | #6289 | semidirect |
| 142. C3 | #10619890 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C3⋊(C3⋊#272) | 2 |
| H(3,𝔽3)×C3⋊Dic3 | 2 |
| C32×#1084 | 2 |
| C3×#6289 | 3 |
| #10619890 | 3 |