Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
260 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 69 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 |
|---|---|---|
| 2. C2×#13133136 | C2 | semidirect |
| 3. #16810419 | C2 | direct (N × H) |
| 4. C2×#101×C53 | C2 | semidirect |
| 15. #13133136 | C22 | semidirect |
| 19. #101×C53 | C22 | semidirect |
| 92. C2×C53 | #355 | semidirect |
| 97. C2×#101 | D53 | semidirect |
| 99. C53 | C2×#355 | semidirect |
| 114. #101 | C2×D53 | semidirect |
| 187. C2 | #16810419 | direct (N × H) |