Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
292 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 93 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×#13133153 | C2 | semidirect |
| 3. C2×#13133145 | C2 | semidirect |
| 4. #16810589 | C2 | semidirect |
| 5. C2×#97×C53 | C2 | semidirect |
| 9. C2×Dic212 | C4 | semidirect |
| 10. C2×#11719913 | C4 | semidirect |
| 11. C2×D424 | C4 | semidirect |
| 90. C2×#97 | D53 | semidirect |
| 91. C53 | #1975 | semidirect |