Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
841 conjugacy classes of subgroups; only the 180 normal subgroups are shown.
This group has 841 conjugacy classes of subgroups — too many to draw. Only its 180 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. C2×C3⋊#4208 | C2 | semidirect |
| 2. C3×C4×#737 | C2 | semidirect |
| 12. C4×#737 | D3 | semidirect |
| 15. C32×C4×C9 | D3 | semidirect |
| 16. C3×#737 | D4 | semidirect |
| 39. C3×C4×C9 | C3⋊D3 | semidirect |
| 41. #737 | D12 | semidirect |
| 44. C32×C9 | D12 | semidirect |
| 77. C3×C9 | C4⋊(C3⋊D3) | semidirect |
| 97. C3×C4 | #4208 | semidirect |
| 115. C4 | C3⋊#4208 | semidirect |
| 118. C3 | C4⋊#4208 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C3⋊#4208 | 2 |
| C3×C4×#737 | 2 |
| C4⋊(C3⋊#272) | 3 |
| C4⋊#4208 | 3 |
| C9×C4⋊(C3⋊D3) | 3 |