Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
428 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 141 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×#13133217 | C2 | semidirect |
| 2. #16810995 | C2 | semidirect |
| 3. #16810975 | C2 | semidirect |
| 4. #16810828 | C2 | semidirect |
| 5. #16810761 | C2 | semidirect |
| 6. #16810676 | C2 | semidirect |
| 68. C2×C4×C53 | SD16 | semidirect |
| 108. C53 | #3206 | semidirect |
| 173. C2×C4 | #11719923 | semidirect |