Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
150 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 150 conjugacy classes of subgroups — too many to draw. Only its 53 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. #16810448 | C2 | semidirect |
| 3. #16810423 | C2 | semidirect |
| 4. C22⋊#11719908 | C2 | semidirect |
| 5. C2×#107×C53 | C2 | semidirect |
| 61. C2×#107 | D53 | semidirect |
| 65. C53 | #2232 | semidirect |