Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
816 conjugacy classes of subgroups; only the 349 normal subgroups are shown.
This group has 816 conjugacy classes of subgroups — too many to draw. Only its 349 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 |
|---|---|---|
| 3. C2×#13133140 | C2 | direct (N × H) |
| 7. C22×Dic106 | C4 | semidirect |
| 12. #13133140 | C22 | direct (N × H) |
| 29. C2×Dic106 | C2×C4 | semidirect |
| 50. Dic106 | C22×C4 | semidirect |
| 52. C22×C53 | #103 | semidirect |
| 63. C2×C53 | C2×#103 | semidirect |
| 71. C53 | C22×#103 | semidirect |
| 119. C22 | #13133140 | direct (N × H) |
| 129. C2 | C2×#13133140 | direct (N × H) |