Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
428 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 88 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. D53⋊(C4⋊C8) | C2 | semidirect |
| 2. C2×#13133279 | C2 | semidirect |
| 3. C4×C4⋊#6157 | C2 | semidirect |
| 15. #13133214 | C4 | semidirect |
| 18. #13133213 | C4 | semidirect |
| 20. #127×C53 | C4 | semidirect |
| 42. C4⋊#6157 | D4 | semidirect |
| 96. C4×C53 | #102 | semidirect |
| 99. Dic53 | #102 | semidirect |
| 114. C53 | #1982 | semidirect |
| 123. #127 | #6157 | semidirect |
| 210. C4 | #13133279 | semidirect |