Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
474 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 97 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×#11719924 | C2 | semidirect |
| 3. C2×#13133137 | C2 | semidirect |
| 4. #16810378 | C2 | semidirect |
| 5. C53×#391 | C2 | semidirect |
| 22. C2×Q8×C53 | D4 | semidirect |
| 41. C2×#88322 | D4 | semidirect |
| 57. C2×C4×C53 | SD16 | semidirect |
| 93. #391 | D53 | semidirect |
| 95. C53 | #2014 | semidirect |
| 112. C2×Q8 | D212 | semidirect |
| 152. C2×C4 | #11719924 | semidirect |