Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
326 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 91 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×#13133217 | C2 | semidirect |
| 4. #16810386 | C2 | semidirect |
| 5. C53×#336 | C2 | semidirect |
| 26. C2×D212 | Q8 | semidirect |
| 101. #336 | D53 | semidirect |
| 102. C53 | #2023 | semidirect |