Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
436 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 137 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. #16811173 | C2 | semidirect |
| 2. #16810904 | C2 | semidirect |
| 3. #16810859 | C2 | semidirect |
| 4. #16810819 | C2 | semidirect |
| 5. C2×C4⋊C8×C53 | C2 | semidirect |
| 44. C2×C4×C53 | D8 | semidirect |
| 81. C2×C4⋊C8 | D53 | semidirect |
| 82. C53 | #3245 | semidirect |
| 129. C2×C4 | D424 | semidirect |