Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
324 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 11. C22×Q8×C53 | C4 | semidirect |
| 17. C2×C4⋊C4×C53 | C4 | semidirect |
| 18. C2×C4⋊C4×C53 | C4 | semidirect |
| 43. C22⋊Dic53 | Q8 | semidirect |
| 108. C53 | #1996 | semidirect |
| 109. C22×Q8 | Dic53 | semidirect |
| 116. C2×C4⋊C4 | Dic53 | semidirect |
| 117. C2×C4⋊C4 | Dic53 | semidirect |