Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
292 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 292 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. C2×#13133153 | C2 | semidirect |
| 2. C2×#13133144 | C2 | semidirect |
| 3. #16810590 | C2 | semidirect |
| 4. C2×#13133127 | C2 | semidirect |
| 16. C2×Q16×C53 | C4 | semidirect |
| 17. C2×SD16×C53 | C4 | semidirect |
| 18. C2×D8×C53 | C4 | semidirect |
| 91. C53 | #1975 | semidirect |
| 95. C2×Q16 | Dic53 | semidirect |
| 96. C2×SD16 | Dic53 | semidirect |
| 97. C2×D8 | Dic53 | semidirect |