Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
220 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 72 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×#13133292 | C2 | semidirect |
| 2. D53⋊M32 | C2 | semidirect |
| 3. #16811522 | C2 | semidirect |
| 4. #16811521 | C2 | semidirect |
| 9. #13133291 | C22 | semidirect |
| 11. C2×#11719910 | C22 | semidirect |
| 108. C53 | #2117 | semidirect |