Finite Group DatabasebetaFinite Group DatabasebetaOrder 6848.
104 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 104 conjugacy classes of subgroups — too many to draw. Only its 47 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. #16812115 | C2 | semidirect |
| 3. #16812044 | C2 | semidirect |
| 4. #16812036 | C2 | semidirect |
| 5. #16812035 | C2 | semidirect |
| 6. #16812019 | C2 | semidirect |
| 7. #131×C107 | C2 | semidirect |
| 9. #13133808 | C4 | semidirect |
| 10. #13133806 | C4 | semidirect |
| 11. #13133805 | C4 | semidirect |
| 12. #13133803 | C4 | semidirect |
| 51. C107 | #444 | semidirect |
| 55. #131 | D107 | semidirect |