Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
716 conjugacy classes of subgroups; only the 198 normal subgroups are shown.
This group has 716 conjugacy classes of subgroups — too many to draw. Only its 198 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. #16811691 | C2 | semidirect |
| 2. #16811603 | C2 | semidirect |
| 3. #16811602 | C2 | semidirect |
| 11. C2×#11719947 | C4 | semidirect |
| 13. C22×Dic106 | C4 | semidirect |
| 14. C2×Q8×D53 | C4 | semidirect |
| 16. C2×#41×C53 | C4 | semidirect |
| 81. C53 | #2884 | semidirect |
| 86. C2×#41 | #6157 | semidirect |