Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
384 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 384 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 |
|---|---|---|
| 1. C2×#13133151 | C2 | semidirect |
| 2. C2×#13133138 | C2 | semidirect |
| 3. C2×C8×Dic53 | C2 | semidirect |
| 4. #16810526 | C2 | semidirect |
| 16. C2×D8×C53 | C4 | semidirect |
| 60. C2×Dic53 | D8 | semidirect |
| 61. C8×C53 | C22⋊C4 | semidirect |
| 91. C53 | #1970 | semidirect |
| 95. C2×D8 | Dic53 | semidirect |
| 148. C8 | C22⋊Dic53 | semidirect |