Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
415 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 415 conjugacy classes of subgroups — too many to draw. Only its 60 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. C22×#6893 | C2 | semidirect |
| 2. C2×#92304 | C2 | semidirect |
| 3. #11757608 | C2 | semidirect |
| 7. #10619675 | C3 | semidirect |
| 11. C22×C3×3−1+2 | D3 | semidirect |
| 13. C22×C32×C9 | D3 | semidirect |
| 23. C22×C32⋊C9 | C2×C3 | semidirect |
| 24. C2×#4181 | C2×C3 | semidirect |
| 25. #66328 | C2×C3 | semidirect |
| 26. #6893 | D4 | semidirect |
| 76. C3×3−1+2 | #67 | semidirect |
| 78. C32×C9 | #67 | semidirect |
| 82. C32⋊C9 | C3×D4 | semidirect |
| 240. C22 | #92304 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#6893 | 2 |
| C2×#92304 | 2 |
| #11757608 | 2 |
| C3×#611⋊C3 | 3 |
| C3×#638⋊C3 | 3 |
| C32×#611 | 3 |
| #10619675 | 3 |