Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
436 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 98 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×#13133279 | C2 | semidirect |
| 2. C4×D53⋊C8 | C2 | semidirect |
| 3. #16811569 | C2 | semidirect |
| 12. #13133214 | C4 | semidirect |
| 14. #13133213 | C4 | semidirect |
| 16. #127×C53 | C4 | semidirect |
| 35. D53⋊C8 | D4 | semidirect |
| 76. C4×C53 | #102 | semidirect |
| 78. Dic53 | #102 | semidirect |
| 92. C53 | #1957 | semidirect |
| 99. #127 | #6157 | semidirect |
| 166. C4 | #13133279 | semidirect |