Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
246 conjugacy classes of subgroups; only the 48 normal subgroups are shown.
This group has 246 conjugacy classes of subgroups — too many to draw. Only its 48 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 |
|---|---|---|
| 4. C2×#11719936 | C4 | semidirect |
| 9. (C2×#6157)⋊C4 | C4 | semidirect |
| 13. #13133124 | C4 | semidirect |
| 14. #95×C53 | C4 | semidirect |
| 91. C53 | #1297 | semidirect |
| 102. #95 | #6157 | semidirect |