Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
164 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 164 conjugacy classes of subgroups — too many to draw. Only its 55 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×#13133160 | C2 | semidirect |
| 2. C22×#11719908 | C2 | semidirect |
| 4. #16810450 | C2 | semidirect |
| 5. #16810427 | C2 | semidirect |
| 6. #16810423 | C2 | semidirect |
| 7. C53×#467 | C2 | semidirect |
| 39. #11719908 | D4 | semidirect |
| 59. C22×C53 | SD32 | semidirect |
| 78. #467 | D53 | semidirect |
| 83. C53 | #2217 | semidirect |
| 138. C22 | #13133160 | semidirect |