Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
372 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 109 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×#13133146 | C2 | semidirect |
| 5. #16810492 | C2 | semidirect |
| 6. #16810385 | C2 | semidirect |
| 7. C53×#340 | C2 | semidirect |
| 12. #13133179 | C4 | semidirect |
| 89. D212 | C4⋊C4 | semidirect |
| 115. Dic53 | #102 | semidirect |
| 131. #340 | D53 | semidirect |
| 132. C53 | #1802 | semidirect |