Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
220 conjugacy classes of subgroups; only the 62 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 62 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×#13133292 | C2 | semidirect |
| 2. D53⋊#108 | C2 | semidirect |
| 3. #16811542 | C2 | semidirect |
| 4. #16811541 | C2 | semidirect |
| 107. C53 | #2148 | semidirect |