Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
612 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 612 conjugacy classes of subgroups — too many to draw. Only its 117 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×#13133142 | C2 | semidirect |
| 3. C2×#13133139 | C2 | semidirect |
| 4. #16810483 | C2 | semidirect |
| 5. C2×C22⋊C8×C53 | C2 | semidirect |
| 9. C2×#11719945 | C4 | semidirect |
| 81. D212 | C22⋊C4 | semidirect |
| 85. Dic106 | C22⋊C4 | semidirect |
| 119. C2×C22⋊C8 | D53 | semidirect |
| 121. C53 | #1788 | semidirect |