Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
312 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 82 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 |
|---|---|---|
| 14. C2×Dic212 | C4 | semidirect |
| 15. C2×#11719925 | C4 | semidirect |
| 19. C2×Q16×C53 | C4 | semidirect |
| 50. C2×#6157 | Q16 | semidirect |
| 94. C53 | #1969 | semidirect |
| 100. C2×Q16 | #6157 | semidirect |