Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
336 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 2. C2×#13133150 | C2 | semidirect |
| 4. #16810385 | C2 | semidirect |
| 7. C22×#88322 | C4 | semidirect |
| 60. #88322 | C22⋊C4 | semidirect |
| 65. C22×C53 | #107 | semidirect |
| 89. C53 | #1808 | semidirect |
| 149. C22 | #13133150 | semidirect |