Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
564 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 165 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×#13133239 | C2 | semidirect |
| 2. #16811173 | C2 | semidirect |
| 3. #16811017 | C2 | semidirect |
| 4. #16811012 | C2 | semidirect |
| 5. C2×#97×C53 | C2 | semidirect |
| 27. C2×C8×C53 | D4 | semidirect |
| 68. C2×#97 | D53 | semidirect |
| 69. C53 | #3150 | semidirect |
| 94. C2×C8 | D212 | semidirect |